School of Engineering

Courses offered by the School of Engineering are listed under the subject code ENGR on the Stanford Bulletin's ExploreCourses web site.

The School of Engineering offers undergraduate programs leading to the degree of Bachelor of Science (B.S.), programs leading to both B.S. and Master of Science (M.S.) degrees, other programs leading to a B.S. with a Bachelor of Arts (B.A.) in a field of the humanities or social sciences, dual-degree programs with certain other colleges, and graduate curricula leading to the degrees of M.S., Engineer, and Ph.D.

The school has nine academic departments: Aeronautics and Astronautics, Bioengineering, Chemical Engineering, Civil and Environmental Engineering, Computer Science, Electrical Engineering, Management Science and Engineering, Materials Science and Engineering, and Mechanical Engineering. These departments and one interdisciplinary program, the Institute for Computational and Mathematical Engineering, are responsible for graduate curricula, research activities, and the departmental components of the undergraduate curricula.

In research where faculty interest and competence embrace both engineering and the supporting sciences, there are numerous programs within the school as well as several interschool activities, including the Army High Performance Computing Research Center, Biomedical Informatics Training Program, Center for Integrated Systems, Center for Work, Technology, and Organization, Collaboratory for Research on Global Projects, National Center for Physics-Based Simulation in Biology, Center for Position, Navigation, and Time, the Energy Modeling Forum, the NIH Biotechnology Graduate Training Grant in Chemical Engineering, and the Stanford Technology Ventures Program. Energy Resources Engineering (formerly Petroleum Engineering) is offered through the School of Earth Sciences.

The School of Engineering's Hasso Plattner Institute of Design (http://dschool.stanford.edu) brings together students and faculty in engineering, business, education, medicine, and the humanities to learn design thinking and work together to solve big problems in a human-centered way.

The Woods Institute for the Environment (http://environment.stanford.edu) brings together faculty, staff, and students from the schools, institutes and centers at Stanford to conduct interdisciplinary research, education, and outreach to promote an environmentally sound and sustainable world.

The Global Engineering Program offers a portfolio of international opportunities for Stanford undergraduate and graduate students majoring within the School of Engineering. Opportunities range from service learning programs to internships to study tours. These opportunities enhance engineering education by providing students with an opportunity to learn about technology and engineering globally, to build professional networks, and to gain real world experience in a culturally diverse and international environment. For more information and application deadlines, please see gep.stanford.edu

Instruction in Engineering is offered primarily during Autumn, Winter, and Spring quarters of the regular academic year. During the Summer Quarter, a small number of undergraduate and graduate courses are offered.

Undergraduate Programs in the School of Engineering

The principal goals of the undergraduate engineering curriculum are to provide opportunities for intellectual growth in the context of an engineering discipline, for the attainment of professional competence, and for the development of a sense of the social context of technology. The curriculum is flexible, with many decisions on individual courses left to the student and the adviser. For a student with well-defined educational goals, there is often a great deal of latitude.

In addition to the special requirements for engineering majors described below, all undergraduate engineering students are subject to the University general education, writing, and foreign language requirements outlined in the first pages of this bulletin. Depending on the program chosen, students have the equivalent of from one to three quarters of free electives to bring the total number of units to 180.

The School of Engineering's Handbook for Undergraduate Engineering Programs is the definitive reference for all undergraduate engineering programs. It is available online at http://ughb.stanford.edu and provides detailed descriptions of all undergraduate programs in the school, as well as additional information about extracurricular programs and services. Because it is revised in the summer, and updates are made to the web site on a continuing basis, the handbook reflects the most up-to-date information on School of Engineering programs for the academic year.

Accreditation

The Accreditation Board for Engineering and Technology (ABET) accredits college engineering programs nationwide using criteria and standards developed and accepted by U.S. engineering communities. At Stanford, the following undergraduate programs are accredited:

• Chemical Engineering
• Civil Engineering
• Mechanical Engineering

In ABET-accredited programs, students must meet specific requirements for engineering science, engineering design, mathematics, and science course work. Students are urged to consult the School of Engineering Handbook for Undergraduate Engineering Programs and their adviser.

Accreditation is important in certain areas of the engineering profession; students wishing more information about accreditation should consult their department office or the office of the Senior Associate Dean for Student Affairs in 135 Huang Engineering Center.

Policy on Satisfactory/No Credit Grading and Minimum Grade Point Average

All courses taken to satisfy major requirements (including the requirements for mathematics, science, engineering fundamentals, Technology in Society, and engineering depth) for all engineering students (including both department and School of Engineering majors) must be taken for a letter grade if the instructor offers that option.

For departmental majors, the minimum combined GPA (grade point average) for all courses taken in fulfillment of the Engineering Fundamentals requirement and the Engineering Depth requirement is 2.0. For School of Engineering majors, the minimum GPA on all engineering courses taken in fulfillment of the major requirements is 2.0.

Admission

Any students admitted to the University may declare an engineering major if they elect to do so; no additional courses or examinations are required for admission to the School of Engineering.

Recommended Preparation

Freshman

Students who plan to enter Stanford as freshmen and intend to major in engineering should take the highest level of mathematics offered in high school. (See the "Mathematics" section of this bulletin for information on advanced placement in mathematics.) High school courses in physics and chemistry are strongly recommended, but not required. Additional elective course work in the humanities and social sciences is also recommended.

Transfer Students

Students who do the early part of their college work elsewhere and then transfer to Stanford to complete their engineering programs should follow an engineering or pre-engineering program at the first school, selecting insofar as possible courses applicable to the requirements of the School of Engineering, that is, courses comparable to those described under "Undergraduate Programs." In addition, students should work toward completing the equivalent of Stanford's foreign language requirement and as many of the University's General Education Requirements (GERs) as possible before transferring. Some transfer students may require more than four years (in total) to obtain the B.S. degree. However, Stanford affords great flexibility in planning and scheduling individual programs, which makes it possible for transfer students, who have wide variations in preparation, to plan full programs for each quarter and to progress toward graduation without undue delay.

Transfer credit is given for courses taken elsewhere whenever the courses are equivalent or substantially similar to Stanford courses in scope and rigor. The policy of the School of Engineering is to study each transfer student's preparation and make a reasonable evaluation of the courses taken prior to transfer by means of a petition process. Inquiries may be addressed to the Office of Student Affairs in 135 Huang Engineering Center. For more information, see the transfer credit section of the Handbook for Undergraduate Engineering Programs at http://ughb.stanford.edu.

Degree Program Options

In addition to the B.S. degrees offered by departments, the School of Engineering offers two other types of B.S. degrees:

• Bachelor of Science in Engineering (see subplan majors listed below)
• Bachelor of Science for Individually Designed Majors in Engineering (IDMEN)

There are seven Engineering B.S. subplans that have been proposed by cognizant faculty groups and pre-approved by the Undergraduate Council:

• Aeronautics and Astronautics
• Architectural Design
• Atmosphere/Energy
• Biomechanical Engineering
• Biomedical Computation
• Engineering Physics
• Product Design.

The B.S. for an Individually Designed Major in Engineering has also been approved by the council.

Curricula for majors are offered by the departments of:

• Bioengineering
• Chemical Engineering
• Civil and Environmental Engineering
• Computer Science
• Electrical Engineering
• Management Science and Engineering
• Materials Science and Engineering
• Mechanical Engineering

Curricula for majors in these departments have the following components:

• 36-45 units of mathematics and science (see Basic Requirements 1 and 2 at the end of this section)
• engineering fundamentals (three course minimum, at least one of which must be unspecified by the department, see Basic Requirement 3)
• Technology in Society (TIS) (one course minimum, see Basic Requirement 4)
• engineering depth (courses such that the total number of units for Engineering Fundamentals and Engineering Depth is between 60 and 72)
• ABET accredited majors must meet a minimum number of Engineering Science and Engineering Design units; (see Basic Requirement 5)

Consult the 2015-16 Handbook for Undergraduate Engineering Programs for additional information.

Dual and Coterminal Programs

A Stanford undergraduate may work simultaneously toward two bachelor's degrees or toward a bachelor's and a master's degree, that is, B.A. and M.S., B.A. and M.A., B.S. and M.S., or B.S. and M.A. The degrees may be granted simultaneously or at the conclusion of different quarters. Five years are usually required for a dual or coterminal program or for a combination of these two multiple degree programs. For further information, inquire with the School of Engineering's student affairs office, 135 Huang Engineering Center, or with department contacts listed in the Handbook for Undergraduate Engineering Programs, available at http://ughb.stanford.edu.

Dual B.A. and B.S. Degree Program—To qualify for both degrees, a student must:

1. complete the stated University and department requirements for each degree
2. complete 15 full-time quarters, or 3 full-time quarters after completing 180 units
3. complete a total of 225 units (180 units for the first bachelor's degree plus 45 units for the second bachelor's degree)

Coterminal Bachelor's and Master's Degree Program—A Stanford undergraduate may be admitted to graduate study for the purpose of working simultaneously toward a bachelor's degree and a master's degree, in the same or different disciplines. To qualify for both degrees, a student must:

1. complete, in addition to the units required for the bachelor's degree, the number of units required by the graduate department for the master's degree which in no event is fewer than the University minimum of 45 units
2. complete the requirements for the bachelor's degree (department, school, and University) and apply for conferral of the degree at the appropriate time
3. complete the department and University requirements for the master's degree and apply for conferral of the degree at the appropriate time

A student may complete the bachelor's degree before completing the master's degree, or both degrees may be completed in the same quarter.

Procedure for Applying for Admission to Coterminal Degree Programs

Stanford undergraduates apply to the pertinent graduate department using the University coterminal application. Application deadlines and admissions criteria vary by department, but in all cases the student must apply early enough to allow a departmental decision at least one quarter in advance of the anticipated date of conferral of the bachelor's degree.

Students interested in coterminal degree programs in Engineering should refer to our departments' sections of this bulletin for more detailed information. The University requirements for the coterminal master's degree are described in the "Coterminal Master's Degrees" section of this bulletin.

Graduate Programs in the School of Engineering

Admission

Application for admission with graduate standing in the school should be made to the graduate admissions committee in the appropriate department or program. While most graduate students have undergraduate preparation in an engineering curriculum, it is feasible to enter from other programs, including chemistry, geology, mathematics, or physics.

For further information and application instructions, see the department sections in this bulletin or http://gradadmissions.stanford.edu. Stanford undergraduates may also apply as coterminal students; details can be found under "Degree Program Options" in the "Undergraduate Programs in the School of Engineering" section of this bulletin.

Fellowships and Assistantships

Departments and divisions of the School of Engineering award graduate fellowships, research assistantships, and teaching assistantships each year.

Curricula in the School of Engineering

For further details about the following programs, see the department sections in this bulletin.

Related aspects of particular areas of graduate study are commonly covered in the offerings of several departments and divisions. Graduate students are encouraged, with the approval of their department advisers, to choose courses in departments other than their own to achieve a broader appreciation of their field of study. For example, most departments in the school offer courses concerned with nanoscience, and a student interested in an aspect of nanotechnology can often gain appreciable benefit from the related courses given by departments other than her or his own.

Departments and programs of the school offer graduate curricula as follows:

Aeronautics and Astronautics

• Aeroelasticity and Flow Simulation
• Aircraft Design, Performance, and Control
• Applied Aerodynamics
• Autonomy
• Computational Aero-Acoustics
• Computational Fluid Dynamics
• Computational Mechanics and Dynamical Systems
• Control of Robots, including Space and Deep-Underwater Robots
• Conventional and Composite Materials and Structures
• Decision Making under Uncertainty
• Direct and Large-Eddy Simulation of Turbulence
• High-Lift Aerodynamics
• Hybrid Propulsion
• Hypersonic and Supersonic Flow
• Micro and Nano Systems and Materials
• Multidisciplinary Design Optimization
• Navigation Systems (especially GPS)
• Optimal Control, Estimation, System Identification
• Sensors for Harsh Environments
• Space Debris Characterization
• Space Environment Effects on Spacecraft
• Space Plasmas
• Spacecraft Design and Satellite Engineering
• Turbulent Flow and Combustion

Bioengineering

• Biomedical Computation
• Biomedical Devices
• Biomedical Imaging
• Cell and Molecular Engineering
• Regenerative Medicine

Chemical Engineering

• Applied Statistical Mechanics
• Biocatalysis
• Biochemical Engineering
• Bioengineering
• Biophysics
• Computational Materials Science
• Colloid Science
• Dynamics of Complex Fluids
• Energy Conversion
• Functional Genomics
• Hydrodynamic Stability
• Kinetics and Catalysis
• Microrheology
• Molecular Assemblies
• Nanoscience and Technology
• Newtonian and Non-Newtonian Fluid Mechanics
• Polymer Physics
• Protein Biotechnology
• Renewable Fuels
• Semiconductor Processing
• Soft Materials Science
• Solar Utilization
• Surface and Interface Science
• Transport Mechanics

Civil and Environmental Engineering

• Atmosphere/Energy
• Construction Engineering and Management
• Design/Construction Integration
• Environmental Engineering and Science
• Environmental Fluid Mechanics and Hydrology
• Environmental and Water Studies
• Geomechanics
• Structural Engineering
• Sustainable Design and Construction

Computational and Mathematical Engineering

• Applied and Computational Mathematics
• Computational Biology
• Computational Fluid Dynamics
• Computational Geometry and Topology
• Computational Geosciences
• Computational Medicine
• Data Science
• Discrete Mathematics and Algorithms
• Numerical Analysis
• Optimization
• Partial Differential Equations
• Stochastic Processes
• Uncertainty Quantification
• Financial Mathematics

Computer Science

See http://forum.stanford.edu/research/areas.php for a comprehensive list.

• Algorithmic Game Theory
• Artificial Intelligence
• Autonomous Agents
• Biomedical Computation
• Compilers
• Complexity Theory
• Computational and Cognitive Neuroscience
• Computational Biology
• Computational Geometry and Topology
• Computational Logic
• Computational Photography
• Computational Physics
• Computer Architecture
• Computer Graphics
• Computer Security
• Computer Science Education
• Computer Vision
• Crowdsourcing
• Cryptography
• Database Systems
• Data Center Computing
• Data Mining
• Design and Analysis of Algorithms
• Digital Libraries
• Distributed and Parallel Computation
• Distributed Systems
• Electronic Commerce
• Formal Verification
• General Game Playing
• Haptic Display of Virtual Environments
• Human-Computer Interaction
• Image Processing
• Information and Communication Technologies for Development
• Information Management
• Learning Theory
• Machine Learning
• Mathematical Theory of Computation
• Mobile Computing
• Multi-Agent Systems
• Nanotechnology-enabled Systems
• Natural Language and Speech Processing
• Networking and Internet Architecture
• Operating Systems
• Parallel Computing
• Probabilistic Models and Methods
• Programming Systems/Languages
• Robotics
• Robust System Design
• Scientific Computing and Numerical Analysis
• Sensor Networks
• Social and Information Networks
• Social Computing
• Ubiquitous and Pervasive Computing
• Visualization
• Web Application Infrastructure

Electrical Engineering

• Biomedical Devices and Bioimaging
• Communication Systems: Wireless, Optical, Wireline
• Control, Learning, and Optimization
• Electronic and Magnetic Devices
• Energy: Solar Cells, Smart Grid, Load Control
• Environmental and Remote Sensing: Sensor Nets, Radar Systems, Space
• Fields and Waves
• Graphics, HCI, Computer Vision, Photography
• Information Theory and Coding: Image and Data Compression, Denoising
• Integrated Circuit Design: MEMS, Sensors, Analog, RF
• Network Systems and Science: Nest Gen Internet, Wireless Networks
• Nano and Quantum Science
• Photonic Devices
• Systems Software: OS, Compilers, Languages
• Systems Hardware: Architecture, VLSI, Embedded Systems
• VLSI Design

Management Science and Engineering

• Decision and Risk Analysis
• Dynamic Systems
• Economics
• Entrepreneurship
• Finance
• Information
• Marketing
• Optimization
• Organization Behavior
• Organizational Science
• Policy
• Production
• Stochastic Systems
• Strategy

Materials Science and Engineering

• Biomaterials
• Ceramics and Composites
• Computational Materials Science
• Electrical and Optical Behavior of Solids
• Electron Microscopy
• Fracture and Fatigue
• Imperfections in Crystals
• Kinetics
• Magnetic Behavior of Solids
• Magnetic Storage Materials
• Nanomaterials
• Photovoltaics
• Organic Materials
• Phase Transformations
• Physical Metallurgy
• Solid State Chemistry
• Structural Analysis
• Thermodynamics
• Thin Films
• X-Ray Diffraction

Mechanical Engineering

• Biomechanics
• Combustion Science
• Computational Mechanics
• Controls
• Design of Mechanical Systems
• Dynamics
• Environmental Science
• Experimental Stress and Analysis
• Fatigue and Fracture Mechanics
• Finite Element Analysis
• Fluid Mechanics
• Heat Transfer
• High Temperature Gas Dynamics
• Kinematics
• Manufacturing
• Mechatronics
• Product Design
• Robotics
• Sensors
• Solids
• Thermodynamics
• Turbulence

For more information on the ME graduate curriculum, please see the Graduate Bulletin and Graduate student handbook.

Bachelor of Science in the School of Engineering

Departments within the School of Engineering offer programs leading to the B.S. degree in the following fields:

• Bioengineering
• Chemical Engineering
• Civil Engineering
• Computer Science
• Electrical Engineering
• Environmental Systems Engineering
• Management Science and Engineering
• Materials Science and Engineering
• Mechanical Engineering

The School of Engineering itself offers interdisciplinary programs leading to the B.S. degree in Engineering with specializations in:

• Aeronautics and Astronautics
• Architectural Design
• Atmosphere/Energy
• Biomechanical Engineering
• Biomedical Computation
• Engineering Physics
• Product Design

In addition, students may elect a B.S. in an Individually Designed Major in Engineering.

Bachelor of Arts and Science (B.A.S.) in the School of Engineering

This degree is available to students who complete both the requirements for a B.S. degree in engineering and the requirements for a major or program ordinarily leading to the B.A. degree. For more information, see the "Undergraduate Degrees" section of this bulletin.

Independent Study, Research, and Honors

The departments of Chemical Engineering, Civil and Environmental Engineering, Computer Science, Electrical Engineering, and Mechanical Engineering, as well as the faculty overseeing the Architectural Design, Atmosphere/Energy, Bioengineering, Biomechanical Engineering, Biomedical Computing, and Engineering Physics majors, offer qualified students opportunities to do independent study and research at an advanced level with a faculty mentor in order to receive a Bachelor of Science with honors. An honors option is also available to students pursuing an independently designed major, with the guidance and approval of their adviser.

Petroleum Engineering

Petroleum Engineering is offered by the Department of Energy Resource Engineering in the School of Earth, Energy, and Environmental Sciences. Consult the "Energy Resources Engineering" section of this bulletin for requirements. School of Engineering majors who anticipate summer jobs or career positions associated with the oil industry should consider enrolling in ENGR 120.

Programs in Manufacturing

Programs in manufacturing are available at the undergraduate, master's, and doctorate levels. The undergraduate programs of the departments of Civil and Environmental Engineering, Management Science and Engineering, and Mechanical Engineering provide general preparation for any student interested in manufacturing. More specific interests can be accommodated through Individually Designed Majors in Engineering (IDMENs).

Basic Requirements

Basic Requirement 1 (Mathematics)

Engineering students need a solid foundation in the calculus of continuous functions, linear algebra, an introduction to discrete mathematics, and an understanding of statistics and probability theory. Students are encouraged to select courses on these topics. To meet ABET accreditation criteria, a student's program must include the study of differential equations. Courses that satisfy the math requirement are listed at http://ughb.stanford.edu in the Handbook for Undergraduate Engineering Programs.

Basic Requirement 2 (Science)

A strong background in the basic concepts and principles of natural science in such fields as physics, chemistry, geology, and biology is essential for engineering. Most students include the study of physics and chemistry in their programs. Courses that satisfy the science requirement are listed at http://ughb.stanford.edu in the Handbook for Undergraduate Engineering Programs.

Basic Requirement 3 (Engineering Fundamentals)

The Engineering Fundamentals requirement is satisfied by a nucleus of technically rigorous introductory courses chosen from the various engineering disciplines. It is intended to serve several purposes. First, it provides students with a breadth of knowledge concerning the major fields of endeavor within engineering. Second, it allows the incoming engineering student an opportunity to explore a number of courses before embarking on a specific academic major. Third, the individual classes each offer a reasonably deep insight into a contemporary technological subject for the interested non-engineer.

The requirement is met by taking three courses from the following list, at least one of which is chosen by the student rather than by the department:

		Units
ENGR 10	Introduction to Engineering Analysis	4
ENGR 14	Intro to Solid Mechanics	4
ENGR 15	Dynamics	4
ENGR 20	Introduction to Chemical Engineering (same as CHEMENG 20)	3
ENGR 25B	Biotechnology 1	3
ENGR 25E	Energy: Chemical Transformations for Production, Storage, and Use (same as CHEMENG 25E) 1	3
ENGR 30	Engineering Thermodynamics	3
ENGR 40	Introductory Electronics 1,2	5
ENGR 40A	Introductory Electronics	3
ENGR 40M	An Intro to Making: What is EE	3-5
ENGR 40P	Physics of Electrical Engineering 1	5
ENGR 50	Introduction to Materials Science, Nanotechnology Emphasis 1,2	4
ENGR 50E	Introduction to Materials Science, Energy Emphasis 1	4
ENGR 50M	Introduction to Materials Science, Biomaterials Emphasis 1	4
ENGR 60	Engineering Economy	3
ENGR 62	Introduction to Optimization (same as MS&E 111)	4
ENGR 70A/CS 106A	Programming Methodology 1	5
ENGR 70B/CS 106B	Programming Abstractions 1	5
ENGR 70X/CS 106X	Programming Abstractions (Accelerated) 1	5
ENGR 80	Introduction to Bioengineering (Engineering Living Matter) (same as BIOE 80)	4
ENGR 90	Environmental Science and Technology (same as CEE 70)	3

1	Only one course from each numbered series can be used in the Engineering Fundamentals category within a major program.
2	ENGR 40 Introductory Electronics and ENGR 50 Introduction to Materials Science, Nanotechnology Emphasis may be taken on video at some of Stanford's Overseas Centers.

Basic Requirement 4 (Technology in Society)

It is important for the student to obtain a broad understanding of engineering as a social activity. To foster this aspect of intellectual and professional development, all engineering majors must take one course devoted to exploring issues arising from the interplay of engineering, technology, and society. Courses that fulfill this requirement are listed online at http://ughb.stanford.edu in the Handbook for Undergraduate Engineering Programs.

Basic Requirement 5 (Engineering Topics)

In order to satisfy ABET (Accreditation Board for Engineering and Technology) requirements, a student majoring in Chemical, Civil, or Mechanical Engineering must complete one and a half years of engineering topics, consisting of a minimum of 68 units of Engineering Fundamentals and Engineering Depth appropriate to the student's field of study. In most cases, students meet this requirement by completing the major program core and elective requirements. A student may need to take additional courses in Depth in order to fulfill the minimum requirement. Appropriate courses assigned to fulfill each major's program are listed online at http://ughb.stanford.edu in the Handbook for Undergraduate Engineering Programs.

Experimentation

Chemical Engineering, Civil Engineering, and Mechanical Engineering must include experimental experience appropriate to the discipline. Lab courses taken in the sciences, as well as experimental work taken in courses within the School of Engineering, will fulfill this requirement.

Overseas Studies Courses in Engineering

For course descriptions and additional offerings, see the listings in the Stanford Bulletin's ExploreCourses web site (http://explorecourses.stanford.edu) or the Bing Overseas Studies web site (http://bosp.stanford.edu). Students should consult their department or program's student services office for applicability of Overseas Studies courses to a major or minor program.

Aeronautics and Astronautics (AA)

Mission of the Undergraduate Program in Aeronautics and Astronautics

The mission of the undergraduate program in Aeronautics and Astronautics Engineering is to provide students with the fundamental principles and techniques necessary for success and leadership in the conception, design, implementation, and operation of aerospace and related engineering systems. Courses in the major introduce students to engineering principles. Students learn to apply this fundamental knowledge to conduct laboratory experiments and aerospace system design problems. Courses in the major include engineering fundamentals, mathematics, and the sciences, as well as in-depth courses in aeronautics and astronautics, dynamics, mechanics of materials, fluids engineering, and heat transfer. The major prepares students for careers in aircraft and spacecraft engineering, space exploration, air and space-based telecommunication industries, teaching, research, military service, and many related technology-intensive fields.

Completion of the undergraduate program in Aeronautics and Astronautics leads to the conferral of the Bachelor of Science in Engineering. The subplan "Aeronautics and Astronautics" appears on the transcript and on the diploma.

Requirements

		Units
Mathematics
24 units minimum 1
MATH 41	Calculus (or AP Calculus)	5
MATH 42	Calculus (or AP Calculus)	5
CME 100/ENGR 154	Vector Calculus for Engineers	5
or MATH 51	Linear Algebra and Differential Calculus of Several Variables
CME 102/ENGR 155A	Ordinary Differential Equations for Engineers	5
or MATH 53	Ordinary Differential Equations with Linear Algebra
CME 106/ENGR 155C	Introduction to Probability and Statistics for Engineers (or STATS 110, STATS 116, CS 109)	4-5
or STATS 110	Statistical Methods in Engineering and the Physical Sciences
or STATS 116	Theory of Probability
or CS 109	Introduction to Probability for Computer Scientists
Science
19 units minimum
PHYSICS 41	Mechanics (or AP Physics)	4
PHYSICS 43	Electricity and Magnetism (or AP Physics)	4
PHYSICS 45	Light and Heat	4
CHEM 31X	Chemical Principles Accelerated ( or CHEM 31A+B, AP Chemistry)	5
Science elective 2		3-5
Technology in Society (one course required)
3 units minimum 3		3-5
Engineering Fundamentals (three courses required)
11 units minimum
ENGR 30	Engineering Thermodynamics	3
ENGR 70A	Programming Methodology	5
Fundamentals Elective 4		3-5
Engineering Depth
28 units minimum
AA 100	Introduction to Aeronautics and Astronautics	3
AA 190	Directed Research and Writing in Aero/Astro	3-5
ME 70	Introductory Fluids Engineering	4
ENGR 14	Intro to Solid Mechanics	4
ME 131A	Heat Transfer	3
ENGR 15	Dynamics	4
ME 161	Dynamic Systems, Vibrations and Control	3-4
or PHYSICS 110	Advanced Mechanics
CEE 101A	Mechanics of Materials	4
or ME 80	Mechanics of Materials
Aero/Astro Depth
18 units minimum
Engineering Electives (two courses required) 5		6-10
See Course List AA-1 below for a list of options
Depth Area I (two courses required) 6		6-10
See Course List AA-2 below for a list of options
Depth Area II (two courses required) 6		6-10
See Course List AA-2 below for a list of options
Total Units		104-126

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs.

1	It is recommended that the CME series (100, 102, 104) be taken rather than the MATH series (51, 52, 53). If students take the MATH series, it is recommended to take MATH 51M Introduction to MATLAB for Multivariable Mathematics, offered Autumn Quarter.
2	Courses that satisfy the Science elective are listed in Figure 3-2 in the Handbook for Undergraduate Engineering Programs at http://ughb.stanford.edu.
3	Courses that satisfy the Technology in Society Requirement are listed in Figure 3-3 in the Handbook for Undergraduate Engineering Programs at http://ughb.stanford.edu.
4	Courses that satisfy the Engineering Fundamentals elective are listed in Figure 3-4 in the Handbook for Undergraduate Engineering Programs at http://ughb.stanford.edu.  ENGR 70B or X (same as CS 106B or X) is not allowed to fulfill the third fundamentals requirement.
5	Courses that satisfy the Engineering Electives are listed in Figure AA-1 in the Handbook for Undergraduate Engineering Programs at http://ughb.stanford.edu, as well as Course List AA-1 below.
6	Courses that satisfy the Depth Area choices are listed in Figure AA-2 in the Handbook for Undergraduate Engineering Programs at http://ughb.stanford.edu, as well as Course List AA-2 below.

		Units
AA-1. Engineering Electives: Two Courses Required
AA 250	Nanomaterials for Aerospace	3
ENGR 240	Introduction to Micro and Nano Electromechanical Systems	3
ME 210	Introduction to Mechatronics	4
ME 220	Introduction to Sensors	3-4
ME 227	Vehicle Dynamics and Control	3
ME 250	Internal Combustion Engines	3-5
ME 257	Turbine and Internal Combustion Engines	3
ME 260	Fuel Cell Science and Technology	3
ME 324	Precision Engineering	4
ME 331A	Advanced Dynamics & Computation	3
ME 331B	Advanced Dynamics, Simulation & Control	3
ME 345	Fatigue Design and Analysis	3
ME 348	Experimental Stress Analysis	3
ME 351A	Fluid Mechanics	3
ME 351B	Fluid Mechanics	3
CHEMENG 140	Micro and Nanoscale Fabrication Engineering	3
CS 107	Computer Organization and Systems	3-5
CS 110	Principles of Computer Systems	3-5
CS 140	Operating Systems and Systems Programming	3-4
CS 161	Design and Analysis of Algorithms	3-5
EE 102A	Signal Processing and Linear Systems I	4
EE 102B	Signal Processing and Linear Systems II	4
EE 101A	Circuits I	4
EE 101B	Circuits II	4
ENERGY 121	Fundamentals of Multiphase Flow	3
ENERGY 191	Optimization of Energy Systems	3-4
ENERGY 226	Thermal Recovery Methods	3
MATSCI 155	Nanomaterials Synthesis	4
MATSCI 156	Solar Cells, Fuel Cells, and Batteries: Materials for the Energy Solution	3-4
MATSCI 197	Rate Processes in Materials	3-4
MATSCI 198	Mechanical Properties of Materials	3-4
PHYSICS 100	Introduction to Observational Astrophysics	4
* It is recommended that students review prerequisites for all courses.

		Units
AA-2. Depth Area: Four Courses Required, Two From Each of Two Areas
Dynamics and Controls
ENGR 105	Feedback Control Design	3
ENGR 205	Introduction to Control Design Techniques	3
AA 203	Introduction to Optimal Control and Dynamic Optimization	3
AA 222	Introduction to Multidisciplinary Design Optimization	3-4
AA 242A	Classical Dynamics	3
AA 271A	Dynamics and Control of Spacecraft and Aircraft	3
Systems Design
AA 236A	Spacecraft Design	3-5
AA 236B	Spacecraft Design Laboratory	3-5
AA 241A	Introduction to Aircraft Design, Synthesis, and Analysis	3
AA 241B	Introduction to Aircraft Design, Synthesis, and Analysis	3
AA 284B	Propulsion System Design Laboratory	3
Fluids and CFD
AA 200	Applied Aerodynamics	3
AA 201A	Fundamentals of Acoustics	3
AA 210A	Fundamentals of Compressible Flow	3
AA 214A/CME 207	Numerical Methods in Engineering and Applied Sciences	3
AA 283	Aircraft and Rocket Propulsion	3
ME 131B	Fluid Mechanics: Compressible Flow and Turbomachinery	4
ME 140	Advanced Thermal Systems	5
Structures
AA 240A	Analysis of Structures	3
AA 240B	Analysis of Structures	3
AA 256	Mechanics of Composites	3
AA 280	Smart Structures	3
ME 335A	Finite Element Analysis	3
* It is recommended that students review prerequisites for all courses.

Architectural Design (AD)

Completion of the undergraduate program in Architectural Design leads to the conferral of the Bachelor of Science in Engineering. The subplan "Architectural Design" appears on the transcript and on the diploma.

Mission of the Undergraduate Program in Architectural Design

The mission of the undergraduate program in Architectural Design is to develop students' ability to integrate engineering and architecture in ways that blend innovative architectural design with cutting-edge engineering technologies. Courses in the program combine hands-on architectural design studios with a wide variety of other courses. Students can choose from a broad mix of elective courses concerning energy conservation, sustainability, building systems, and structures, as well as design foundation and fine arts courses. In addition to preparing students for advanced studies in architecture and construction management, the program's math and science requirements prepare students well for graduate work in other fields such as civil and environmental engineering, law, and business.

Requirements

		Units
Mathematics and Science (36 units minimum) 1
Mathematics
MATH 19	Calculus	3
MATH 20	Calculus	3
MATH 21	Calculus	4
Or the following sequence:
MATH 41	Calculus
MATH 42	Calculus
CME 100	Vector Calculus for Engineers (Recommended)	5
One course in Statistics (required)		3-5
Science
PHYSICS 41	Mechanics	4
Recommended:
EARTHSYS 101	Energy and the Environment
EARTHSYS 102	Renewable Energy Sources and Greener Energy Processes
CEE 64	Air Pollution and Global Warming: History, Science, and Solutions
CEE 70	Environmental Science and Technology
CEE 101D	Computations in Civil and Environmental Engineering
PHYSICS 23	Electricity, Magnetism, and Optics
or PHYSICS 43	Electricity and Magnetism
Or from School of Engineering approved list
Technology in Society
One course required, see Basic Requirement 4		3-5
Engineering Fundamentals
Three courses minimum, see Basic Requirement 3		9-15
ENGR 14	Intro to Solid Mechanics	4
ENGR 60	Engineering Economy 2	3
or CEE 146A	Engineering Economy
AD Depth Core 3
CEE 31	Accessing Architecture Through Drawing	4
or CEE 31Q	Accessing Architecture Through Drawing
CEE 100	Managing Sustainable Building Projects	4
CEE 120A	Building Information Modeling Workshop	2-4
CEE 130	Architectural Design: 3-D Modeling, Methodology, and Process	4
CEE 137B	Advanced Architecture Studio	5
ARTHIST 3	Introduction to World Architecture	5
Depth Options		12
See Note 3 for course options
Depth Electives
Elective units must be such that courses in ENGR Fundamentals, Core, Depth Options, and Depth Electives total at least 63 units. One of the following must be taken:
CEE 131B	Financial Management of Sustainable Urban Systems	3
or CEE 32A	Psychology of Architecture
or CEE 32B	Design Theory
or CEE 32F	Light, Color, and Space
or CEE 32R	American Architecture
or CEE 32S	The Situated Workplace and Public Life
or CEE 32T	Making and Remaking the Architect: Edward Durell Stone and Stanford
or CEE 32U	Web of Apprenticeship
or CEE 133F	Principles of Freehand Drawing
or CEE 133G	Architectural History & Drawing in Eastern Europe
or CEE 139	Design Portfolio Methods
Total Units		80-92

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs.

1	School of Engineering approved list of math and science courses available in the Handbook for Undergraduate Engineering Programs at http://ughb.stanford.edu.
2	CEE 146A, offered Autumn quarter, may be used in place of ENGR 60 for the second ENGR Fundamental.
3	Engineering depth options: Choose at least 12 units from the following courses: CEE 101A, CEE 101B, CEE 101C, CEE 156, CEE 172, CEE 172A, CEE 176A, CEE 180, CEE 181, CEE 182, CEE 183, CEE 226, CEE 241, OR CEE 242. Students should investigate any prerequisites for the listed courses and carefully plan course sequences with the AD director. Electives: CEE 32A, CEE 32B, CEE 32D, CEE 32F, CEE 32G, CEE 32Q,  CEE 32R, CEE 32S, CEE 32T, CEE 32U, CEE 101B, CEE 101C,  CEE 120A, CEE 120B,  CEE 120C, CEE 122A, CEE 122B, CEE 124, CEE 131A, CEE 131B, CEE 131C, CEE 132, CEE 134B, CEE 135A, CEE 139,  CEE 172A, CEE 176A, CEE 180, CEE 181, CEE 182, CEE 183 ENGR 50, ENGR 103, ENGR 131 ME 10AX, ME 101, ME 110, ME 115A/B/C, ME 120, ME 203 ARTSTUDI 13BX, ARTSTUDI 140, ARTSTUDI 145, ARTSTUDI 151, ARTSTUDI 160, ARTSTUDI 170, ARTSTUDI 171, ARTSTUDI 181 ARTHIST 107A, ARTHIST 142, ARTHIST 143A, ARTHIST 188A FILMPROD 114 TAPS 137 URBANST 110, URBANST 113, URBANST 163, URBANST 171

Atmosphere/Energy (A/E)

Completion of the undergraduate program in Atmosphere/Energy leads to the conferral of the Bachelor of Science in Engineering. The subplan "Atmosphere/Energy" appears on the transcript and on the diploma.

Mission of the Undergraduate Program in Atmosphere/Energy

Atmosphere and energy are strongly linked: fossil-fuel energy use contributes to air pollution, global warming, and weather modification; and changes in the atmosphere feed back to renewable energy resources, including wind, solar, hydroelectric, and wave resources. The mission of the undergraduate program in Atmosphere/Energy (A/E) is to provide students with the fundamental background necessary to understand large- and local-scale climate, air pollution, and energy problems and solve them through clean, renewable, and efficient energy systems. To accomplish this goal, students learn in detail the causes and proposed solutions to the problems, and learn to evaluate whether the proposed solutions are truly beneficial. A/E students take courses in renewable energy resources, indoor and outdoor air pollution, energy efficient buildings, climate change, renewable energy and clean-vehicle technologies, weather and storm systems, energy technologies in developing countries, electric grids, and air quality management. The curriculum is flexible. Depending upon their area of interest, students may take in-depth courses in energy or atmosphere and focus either on science, technology, or policy. The major is designed to provide students with excellent preparation for careers in industry, government, and research; and for study in graduate school.

Requirements

		Units
Mathematics and Science (45 units minimum):
Mathematics		23
23 units minimum, including at least one course from each group:
Group A
MATH 53	Ordinary Differential Equations with Linear Algebra
CME 102	Ordinary Differential Equations for Engineers
Group B
CME 106	Introduction to Probability and Statistics for Engineers
STATS 60	Introduction to Statistical Methods: Precalculus
STATS 110	Statistical Methods in Engineering and the Physical Sciences
Science		20
20 units minimum, including all of the following:
PHYSICS 41	Mechanics
PHYSICS 43	Electricity and Magnetism
or PHYSICS 45	Light and Heat
Select one of the following:		4
CHEM 31B	Chemical Principles II
or CHEM 31X	Chemical Principles Accelerated
CEE 70	Environmental Science and Technology 1
Technology in Society (1 course)
MSE 197	Ethics, Technology, and Public Policy (WIM)	5
Engineering Fundamentals
Three courses minimum, including the following:
ENGR 25E	Energy: Chemical Transformations for Production, Storage, and Use	3
or ENGR 50E	Introduction to Materials Science, Energy Emphasis
Plus one of the following courses, plus one elective (see Basic Requirement 3):		6-9
ENGR 10	Introduction to Engineering Analysis
ENGR 30	Engineering Thermodynamics
ENGR 60	Engineering Economy
ENGR 70A	Programming Methodology
Engineering Depth
Required: 2
CEE 64	Air Pollution and Global Warming: History, Science, and Solutions (cannot also fulfill science requirement)	3
At least 36 units from the following with at least four courses from each group:		36
CEE 107A	Understanding Energy
or CEE 107S	Energy Resources: Fuels and Tools
Group A: Atmosphere
AA 100	Introduction to Aeronautics and Astronautics
CEE 63	Weather and Storms
CEE 101N	Mechanics of Fluids
or CEE 101B	Mechanics of Fluids
or ME 70	Introductory Fluids Engineering
CEE 164	Introduction to Physical Oceanography
or ESS 146B	Atmosphere, Ocean, and Climate Dynamics: the Ocean Circulation
CEE 172	Air Quality Management
CEE 172A	Indoor Air Quality (given alt years)
CEE 178	Introduction to Human Exposure Analysis
EARTHSYS 37N	Climate Change: Science & Society
or EARTHSYS 41N	The Global Warming Paradox
EARTHSYS 57Q	Climate Change from the Past to the Future
EARTHSYS 111	Biology and Global Change
EARTHSYS 129	Geographic Impacts of Global Change: Mapping the Stories
EARTHSYS 142	Remote Sensing of Land
or EARTHSYS 144	Fundamentals of Geographic Information Science (GIS)
EARTHSYS 146A	Atmosphere, Ocean, and Climate Dynamics: The Atmospheric Circulation (alt years)
EARTHSYS 184	Climate and Agriculture (alt. years)
ME 131B	Fluid Mechanics: Compressible Flow and Turbomachinery
MSE 92Q	International Environmental Policy
Group B: Energy
APPPHYS 79N	Energy Options for the 21st Century
AA 116Q	Electric Automobiles and Aircraft
or EE 155	Green Electronics
CEE 107F	Understanding Energy -- Field Trips
CEE 107W	Understanding Energy -- Workshop
CEE 109	Creating a Green Student Workforce to Help Implement Stanford's Sustainability Vision (alternate years)
CEE 176A	Energy Efficient Buildings
CEE 176B	Electric Power: Renewables and Efficiency
CEE 177S	Design for a Sustainable World
CHEMENG 35N	Renewable Energy for a Sustainable World
EARTHSYS 46Q	Environmental Impact of Energy Systems: What are the Risks?
EARTHSYS 101	Energy and the Environment
EARTHSYS 102	Renewable Energy Sources and Greener Energy Processes
ECON 17N	Energy, the Environment, and the Economy
or OSPKYOTO 45	Japan's Energy-Environment Conundrum
EE 151	Sustainable Energy Systems
ENERGY 104	Sustainable Energy for 9 Billion
MATSCI 156	Solar Cells, Fuel Cells, and Batteries: Materials for the Energy Solution
ME 185	Electric Vehicle Design
OSPSANTG 31	The Chilean Energy System: 30 Years of Market Reforms
Total Units		100-103

1	Can count as a science requirement or Engineering Fundamental, but not both.
2	To fulfill the Writing in the Major (WIM) requirement take Technology in Society course MS&E 193W or MS&E 197. Alternative WIM Courses: CEE 100, EARTHSYS 200, HUMBIO 4B, or the combination of 2 units of CEE 199 with 1 unit of E199W.

Honors Program

The A/E honors program offers eligible students the opportunity to engage in guided original research, or project design, over the course of an academic year. Interested students must:

1. submit a 1-2 page letter applying to the honors program in A/E. The letter must describe the problem to be investigates. Students must obtain signatures from the current primary adviser and the proposed honors adviser, if different, and submit the letter to the student services office in the Department of Civil and Environmental Engineering (CEE). The application must include an unofficial Stanford transcript. Applications must be received in the fourth quarter prior to graduation. It is recommended that a prospective student meet with the proposed honors adviser well in advance of submitting an application.
2. maintain a GPA of at least 3.5.
3. complete an honors thesis or project over a period of three quarters. The typical length of the written report is 15-20 pages. The deadline for submission of the report is decided by the honors adviser, but should be no later than the end of the third week in May.
4. present their thesis or project be read and evaluated by the honors adviser and one other reader. It is the student's responsibility to obtain both the adviser and the reader. At least one of the two must be a member of the Academic Council in the School of Engineering.
5. present the completed work in an appropriate forum such as in the same session as honors theses are presented in the department of the adviser. All honors programs require some public presentation of the thesis or project.
6. take up to 10 units of CEE 199H Undergraduate Honors Thesis toward the thesis (optional). Students must take ENGR 202S Writing: Special Projects or its equivalent. Units for ENGR 202S are beyond those required for the A/E major.
7. submit wo copies of the signed thesis to the CEE student services office no later than two weeks before the end of the graduation quarter.

For additional information and sample programs, see the Handbook for Undergraduate Engineering Programs (UGHB).

Bioengineering (BioE)

Completion of the undergraduate program in Bioengineering leads to the conferral of the Bachelor of Science in Bioengineering.

Mission of the Undergraduate Program in Bioengineering

The Stanford Bioengineering (BioE) major enables students to combine engineering and the life sciences in ways that advance scientific discovery, healthcare and medicine, manufacturing, environmental quality, culture, education, and policy. Students who major in BioE earn a fundamental engineering degree for which the raw materials, underlying basic sciences, fundamental toolkit, and future frontiers are all defined by the unique properties of living systems.

Students will complete engineering fundamentals courses, including an introduction to BioE and computer programming. A series of core BioE classes beginning in the second year leads to a student-selected depth area and a senior capstone design project. The department also organizes a summer Research Experience for Undergraduates (REU) program. BioE graduates are well prepared to pursue careers and lead projects in research, medicine, business, law, and policy.

Requirements

		Units
Mathematics 1
28 units minimum required, see Basic Requirement 1)
MATH 41 & MATH 42	Calculus and Calculus (or AP Calculus)	10
Select one of the following:
CME 100	Vector Calculus for Engineers (Recommended)	5
or MATH 51	Linear Algebra and Differential Calculus of Several Variables
Select one of the following:
CME 102	Ordinary Differential Equations for Engineers (Recommended)	5
or MATH 53	Ordinary Differential Equations with Linear Algebra
Select one of the following:
CME 104	Linear Algebra and Partial Differential Equations for Engineers (Recommended)	5
or MATH 52	Integral Calculus of Several Variables
CME 106	Introduction to Probability and Statistics for Engineers (Recommended)	3-5
or STATS 110	Statistical Methods in Engineering and the Physical Sciences
or STATS 141	Biostatistics
Science 2
28 units minimum:
CHEM 31X	Chemical Principles Accelerated	5-10
or CHEM 31A & CHEM 31B	Chemical Principles I and Chemical Principles II
CHEM 33	Structure and Reactivity	5
BIO 41	Genetics, Biochemistry, and Molecular Biology	5
BIO 42	Cell Biology and Animal Physiology	5
PHYSICS 41	Mechanics	4
PHYSICS 43	Electricity and Magnetism	4
Technology in Society
One course required; see Basic Requirement 4
BIOE 131	Ethics in Bioengineering (WIM)	3
Engineering Fundamentals
ENGR 70A	Programming Methodology (same as CS 106A)	5
ENGR 80	Introduction to Bioengineering (Engineering Living Matter)	4
Fundamentals Elective; see UGHB Fig. 3-4 for approved course list; may not use ENGR 70B or ENGR 70X		3-5
Bioengineering Core
BIOE 41	Physical Biology of Macromolecules	4
BIOE 42	Physical Biology of Cells	4
BIOE 44	Fundamentals for Engineering Biology Lab	4
BIOE 51	Anatomy for Bioengineers	4
BIOE 101	Systems Biology	3
BIOE 103	Systems Physiology and Design	4
BIOE 123	Biomedical System Prototyping Lab	4
BIOE 141A	Senior Capstone Design I	4
BIOE 141B	Senior Capstone Design II	4
Bioengineering Depth Electives
Four courses, minimum 12 units:		12
BIOE 115	Computational Modeling of Microbial Communities
BIOE 122	Biosecurity and Bioterrorism Response
BIOE 201C	Diagnostic Devices Lab
BIOE 211	Biophysics of Multi-cellular Systems and Amorphous Computing
BIOE 212	Introduction to Biomedical Informatics Research Methodology
BIOE 214	Representations and Algorithms for Computational Molecular Biology
BIOE 220	Introduction to Imaging and Image-based Human Anatomy
BIOE 221	Physics and Engineering of Radionuclide Imaging
BIOE 222	Instrumentation and Applications for Multi-modality Molecular Imaging of Living Subjects
BIOE 223	Physics and Engineering of X-Ray Computed Tomography
BIOE 224	Probes and Applications for Multi-modality Molecular Imaging of Living Subjects
BIOE 227	Functional MRI Methods
BIOE 231	Protein Engineering
BIOE 244	Advanced Frameworks and Approaches for Engineering Integrated Genetic Systems
BIOE 253	Science and Technology Policy
BIOE 260	Tissue Engineering
BIOE 281	Biomechanics of Movement
BIOE 287	Introduction to Physiology and Biomechanics of Hearing
BIOE 291	Principles and Practice of Optogenetics for Optical Control of Biological Tissues
Total Units		118-127

1

It is strongly recommended that CME 100 Vector Calculus for Engineers, CME 102 Ordinary Differential Equations for Engineers, and CME 104 Linear Algebra and Partial Differential Equations for Engineers) be taken rather than MATH 51 Linear Algebra and Differential Calculus of Several Variables, MATH 52 Integral Calculus of Several Variables, and MATH 53 Ordinary Differential Equations with Linear Algebra. CME 106 Introduction to Probability and Statistics for Engineers utilizes MATLAB, a powerful technical computing program, and should be taken rather than STATS 110 Statistical Methods in Engineering and the Physical Sciences or STATS 141 Biostatistics. If  you are taking the MATH 50 series, it is strongly recommended to take MATH 51M Introduction to MATLAB or CME 192 Introduction to MATLAB.

2

Science must include both Chemistry (CHEM 31A Chemical Principles I and CHEM 31B Chemical Principles II; or CHEM 31X Chemical Principles Accelerated ) and calculus-based Physics, with two quarters of course work in each, in addition to two courses of BIO core. CHEM 31A Chemical Principles I and CHEM 31B Chemical Principles II are considered one course even though given over two quarters.

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB). Students pursuing a premed program need to take additional courses; see the UGHB, BioE Premed 4-Year Plan.

Honors Program

The School of Engineering offers a program leading to a Bachelor of Science in Bioengineering with Honors (BIOE-BSH). This program provides the opportunity for qualified BioE majors to conduct independent research at an advanced level with a faculty research adviser and documented in an honors thesis.

In order to receive departmental honors, students admitted to the program must:

1. Declare the honors program in Axess (BIOE-BSH).
2. Maintain an overall grade point average (GPA) of at least 3.5 as calculated on the unofficial transcript.
3. Complete at least two quarters of research with a minimum of nine units of BIOE 191 Bioengineering Problems and Experimental Investigation or BIOE 191X Out-of-Department Advanced Research Laboratory in Bioengineering for a letter grade; up to three units may be used towards the bioengineering depth elective requirements.  
4. Submit a completed thesis draft to the honors adviser and second reader by the first week of Spring Quarter. Further revisions and final endorsement are to be finished by the second Monday in May, when two signed bound copies plus one PC-compatible CD-ROM are to be submitted to the student services officer.
5. Attend the Bioengineering Honors Symposium at the end of Spring Quarter and give a poster or oral presentation, or present in another approved suitable forum.  

 For more information and application instructions, see the department's undergraduate site. 

Biomechanical Engineering (BME)

Completion of the undergraduate program in Biomechanical Engineering leads to the conferral of the Bachelor of Science in Engineering. The subplan "Biomechanical Engineering" appears on the transcript and on the diploma.

Mission of the Undergraduate Program in Biomechanical Engineering

The mission of the undergraduate program in Biomechanical Engineering is to help students address health science challenges by applying engineering mechanics and design to the fields of biology and medicine. The program is interdisciplinary in nature, integrating engineering course work with biology and clinical medicine. Research and teaching in this discipline focus primarily on neuromuscular, musculoskeletal, cardiovascular, and cell and tissue biomechanics. This major prepares students for graduate studies in bioengineering, medicine or related areas.

Requirements

		Units
Mathematics		21
21 units minimum; see Basic Requirement 1
Science (22 units Minimum) 1
CHEM 31X	Chemical Principles Accelerated (or CHEM 31A+B)	5
CHEM 33	Structure and Reactivity	5
PHYSICS 41	Mechanics	4
BIO 44X	Core Molecular Biology Laboratory	5
Biology or Human Biology A/B core courses		10
Technology in Society
One course required, see Basic Requirement 4		3-5
Engineering Topics (Engineering Science and Design)
Engineering Fundamentals (minimum three courses; see Basic Requirement 3):
ENGR 14	Intro to Solid Mechanics	4
ENGR 25B	Biotechnology	3
or ENGR 80	Introduction to Bioengineering (Engineering Living Matter)
Fundamentals Elective		3-5
Engineering Depth
ENGR 15	Dynamics	4
ENGR 30	Engineering Thermodynamics	3
ME 70	Introductory Fluids Engineering	4
ME 80	Mechanics of Materials	4
ME 389	Biomechanical Research Symposium 2	1
Options to complete the ME depth sequence (3 courses, minimum 9 units):		9
ENGR 105	Feedback Control Design
ME 101	Visual Thinking
ME 112	Mechanical Systems Design 3
ME 113	Mechanical Engineering Design
ME 131A	Heat Transfer 3
ME 131B	Fluid Mechanics: Compressible Flow and Turbomachinery
ME 140	Advanced Thermal Systems 3
ME 161	Dynamic Systems, Vibrations and Control
ME 203	Design and Manufacturing
ME 210	Introduction to Mechatronics
ME 220	Introduction to Sensors
Options to complete the BME depth sequence (3 courses, minimum 9 units) and WIM: 3		9
BIOE 260	Tissue Engineering
ME 239	Mechanics of the Cell
ME 266	Introduction to Physiology and Biomechanics of Hearing
ME 280	Skeletal Development and Evolution
ME 281	Biomechanics of Movement
ME 283	Tissue Mechanics and Mechanobiology
ME 287	Mechanics of Biological Tissues
ME 294L
ME 328	Medical Robotics (with permission of instructor)
Total Units		97-101

1	Science must include both Chemistry and Physics with one year of course work (3 courses) in at least one, two courses of HUMBIO core or BIO core, and CHEM 31A and B or X, or ENGR 31. CHEM 31A and B are considered one course even though given over two quarters.
2	If ME 389 is not offered, other options include BIOE 393, ME 571, or course by petition.
3	There are two options for fulfilling the WIM requirement. The first option is to complete one of ME112, ME131A, or ME140 (ME 131A must be taken for 5 units to fulfill WIM). The second option is to perform engineering research over the summer or during the academic year and enroll in 3 units of ENGR 199W “Writing of Original Research for Engineers,” (preferably during the time you are performing research or the following quarter) to write a technical report on your research. This second option requires an agreement with your faculty research supervisor.

Honors Program

The School of Engineering offers a program leading to a Bachelor of Science in Engineering: Biomechanical Engineering with Honors. This program provides an opportunity for qualified BME majors to conduct independent study and research related to biomechanical engineering at an advanced level with a faculty mentor.

Honors Criteria:

• GPA of 3.5 or higher in the major
• Arrangement with an ME faculty member (or a faculty member from another department who is approved by the BME Undergraduate Program Director) who agrees to serve as the honors adviser, plus a second faculty member who reads and approves the thesis. The honors adviser must be a member of the Academic Council in the School of Engineering.
• Applications are subject to the review and final approval by the BME Undergraduate Program Director. Applicants and thesis advisers receive written notification when a decision has been made. Submit application documents to the student services office, Building 530, room 125.
• An application consists of
  • One page written statement describing the research topic
  • Unofficial Stanford transcript
  • Signature of thesis adviser and thesis reader agreeing to serve on the committee
  • Deadline: No later than the second week of the Autumn Quarter of the senior year
• In order to graduate with honors:
  • Declare ENGR-BSH (Honors) program in Axess
  • Maintain 3.5 GPA
  • Submit a completed thesis draft to the adviser and reader by April 1
  • Present the thesis synopsis at the Mechanical Engineering Poster Session held in April
• Further revisions and a final endorsement by the adviser and reader are to be completed by May 15 when two bound copies are to be submitted to the Mechanical Engineering student services office.

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB).

Biomedical Computation (BMC)

Completion of the undergraduate program in Biomedical Computation leads to the conferral of the Bachelor of Science in Engineering. The subplan "Biomedical Computation" appears on the transcript and on the diploma.

Mission of the Undergraduate Program in Biomedical Computation

As biology and medical science enter the 21st century, the importance of computational methods continues to increase dramatically. These methods span the analysis of biomedical data, the construction of computational models for biological systems, and the design of computer systems that help biologists and physicians create and administer treatments to patients. The Biomedical Computation major prepares students to work at the cutting edge of this interface between computer science, biology, and medicine. Students begin their journey by gaining a solid fundamental understanding of the underlying biological and computational disciplines. They learn techniques in informatics and simulation and their countless applications in understanding and analyzing biology at all levels, from individual molecules in cells to entire organs, organisms, and populations. Students then focus their efforts pm a depth area of their choice, and participate in a substantial research project with a Stanford faculty member. Upon graduation, students are prepared to enter a wide range of cutting-edge fields in both academia and industry.

Requirements

		Units
Mathematics
21 unit minimum, see Basic Requirement 1
MATH 41	Calculus	5
MATH 42	Calculus	5
STATS 116	Theory of Probability 1	3-5
CS 103	Mathematical Foundations of Computing	3-5
Science
17 units minimum, see Basic Requirement 2
PHYSICS 41	Mechanics	4
CHEM 31X	Chemical Principles Accelerated	5
CHEM 33	Structure and Reactivity	5
BIO 41	Genetics, Biochemistry, and Molecular Biology	5
or HUMBIO 2A	Genetics, Evolution, and Ecology
BIO 42	Cell Biology and Animal Physiology	5
or HUMBIO 3A	Cell and Developmental Biology
BIO 43	Plant Biology, Evolution, and Ecology	5
or HUMBIO 4A	The Human Organism
Engineering Fundamentals
CS 106B	Programming Abstractions	3-5
or CS 106X	Programming Abstractions (Accelerated)
For the second required course, see concentrations
Technology in Society
One course required, see Basic Requirement 4		3-5
Engineering
CS 107	Computer Organization and Systems	3-5
CS 161	Design and Analysis of Algorithms	3-5
Select one of the following:		3
CS 270	Modeling Biomedical Systems: Ontology, Terminology, Problem Solving
CS 273A	A Computational Tour of the Human Genome
CS 274	Representations and Algorithms for Computational Molecular Biology
CS 275	Translational Bioinformatics
CS 279	Computational Biology: Structure and Organization of Biomolecules and Cells
Research: 6 units of biomedical computation research in any department 2,3		6
Engineering Depth Concentration (select one of the following concentrations): 7
Cellular/Molecular Concentration
Mathematics: Select one of the following:
CME 100	Vector Calculus for Engineers
STATS 141	Biostatistics
MATH 51	Linear Algebra and Differential Calculus of Several Variables
One additional Engineering Fundamental 4
Biology (four courses):
BIO 129A	Cellular Dynamics I: Cell Motility and Adhesion
BIO 129B	Cellular Dynamics II: Building a Cell
BIO 188	Biochemistry I (or CHEM 135 or CHEM 171)
Informatics Electives (two courses) 5,6
Simulation Electives (two courses) 5, 6
Simulation, Informatics, or Cell/Mol Elective (one course) 5,6
Informatics Concentration
Mathematics: Select one of the following:
STATS 141	Biostatistics
STATS 203	Introduction to Regression Models and Analysis of Variance
STATS 205	Introduction to Nonparametric Statistics
STATS 215	Statistical Models in Biology
One additional Engineering Fundamental 4
Informatics Core (three courses):
CS 145	Introduction to Databases
or CS 147	Introduction to Human-Computer Interaction Design
CS 221	Artificial Intelligence: Principles and Techniques
or CS 228	Probabilistic Graphical Models: Principles and Techniques
or CS 229	Machine Learning
One additional course from the previous two lines
Informatics Electives (three courses) 5,6
Cellular Electives (two courses) 5,6
Organs Electives (two courses) 5,6		6-10
Organs/Organisms Concentration
Mathematics (select one of the following):
CME 100	Vector Calculus for Engineers
STATS 141	Biostatistics
MATH 51	Linear Algebra and Differential Calculus of Several Variables
One additional Engineering Fundamental 4
Biology (two courses):
BIO 112	Human Physiology
BIO 188	Biochemistry I
or BIOE 220	Introduction to Imaging and Image-based Human Anatomy
Two additional Organs Electives 5,6
Simulation Electives (two courses) 5,6
Informatics Electives (two courses) 5,6
Simulation, Informatics, or Organs Elective (one course) 5,6
Simulation Concentration
Mathematics:
CME 100	Vector Calculus for Engineers
or MATH 51	Linear Algebra and Differential Calculus of Several Variables
Engineering Fundamentals:
ENGR 30	Engineering Thermodynamics
Simulation Core:
CME 102	Ordinary Differential Equations for Engineers	5
or MATH 53	Ordinary Differential Equations with Linear Algebra
ENGR 80	Introduction to Bioengineering (Engineering Living Matter)	4
BIOE 101	Systems Biology	3
BIOE 103	Systems Physiology and Design	4
Simulation Electives (two courses) 5, 6
Cellular Elective (one course) 5,6
Organs Elective (one course) 5,6
Simulation, Cellular, or Organs Elective (two courses) 5,6
Total Units		88-104

1	CS 109 Introduction to Probability for Computer Scientists, MSE 120 Probabilistic Analysis, MSE 220 Probabilistic Analysis, EE 178 Probabilistic Systems Analysis, and CME 106 Introduction to Probability and Statistics for Engineers are acceptable substitutes for STATS 116 Theory of Probability.
2	Research projects require pre-approval of BMC Coordinators
3	Research units taken as CS 191W Writing Intensive Senior Project or in conjunction with ENGR 199W Writing of Original Research for Engineers fulfill the Writing in the Major (WIM) requirement. CS 272 Introduction to Biomedical Informatics Research Methodology, which does not have to be taken in conjunction with research, also fulfills the WIM requirement.
4	One 3-5 unit course required; CS 106A Programming Methodology may not be used. See Fundamentals list in Handbook for Undergraduate Engineering Programs.
5	The list of electives is continually updated to include all applicable courses. For the current list of electives, see http://bmc.stanford.edu.
6	A course may only be counted towards one elective or core requirement; it may not be double-counted.
7	A total of 40 Engineering units must be taken. The core classes only provide 27 Engineering units, so the remaining units must be taken from within the electives.

Honors Program

The Biomedical Computation program offers an honors option for qualified students, resulting in a B.S. with Honors degree in Engineering (ENGR-BSH, Biomedical Computation). An honors project is meant to be a substantial research project during the later part of a student’s undergraduate career, culminating in a final written and oral presentation describing the student’s project and its significance. There is no limit to the number of majors who can graduate with honors; any BMC major who is interested and meets the qualifications is considered.

1. Students apply by submitting a 1-2 page proposal describing the problem the student has chosen to investigate, its significance, and the student’s research plan. This plan must be endorsed by the student’s research and academic advisers, one of whom must be a member of the Academic Council. In making its decision, the department evaluates the overall scope and significance of the student’s proposed work.
2. Students must maintain a 3.5 GPA.
3. Students must complete three quarters of research. All three quarters must be on the same project with the same adviser. A Summer Quarter counts as one quarter of research.
   • Ideally, funding should not be obtained through summer research college sources, but rather through the UAR’s Student Grants Program. In no case can the same work be double-paid by two sources.
4. Students must complete a substantial write-up of the research in the format of a publishable research paper. This research paper is expected to be approximately 15-20 pages and must be approved by the student’s research adviser and by a second reader.
5. As the culmination of the honors project, each student presents the results in a public forum. This can either be in the honors presentation venue of the home department of the student’s adviser, or in a suitable alternate venue.

For additional information and sample programs, see the Handbook for Undergraduate Engineering Programs (UGHB).

Chemical Engineering (CHE)

Completion of the undergraduate program in Chemical Engineering leads to the conferral of the Bachelor of Science in Chemical Engineering.

Mission of the Undergraduate Program in Chemical Engineering

Chemical engineers are responsible for the conception and design of processes for the purpose of production, transformation, and transportation of materials. This activity begins with experimentation in the laboratory and is followed by implementation of the technology in full-scale production. The mission of the undergraduate program in Chemical Engineering is to develop students' understanding of the core scientific, mathematical, and engineering principles that serve as the foundation underlying these technological processes. The program's core mission is reflected in its curriculum which is built on a foundation in the sciences of chemistry, physics, and biology. Course work includes the study of applied mathematics, material and energy balances, thermodynamics, fluid mechanics, energy and mass transfer, separations technologies, chemical reaction kinetics and reactor design, and process design. The program provides students with excellent preparation for careers in the corporate sector and government, or for graduate study.

Requirements*

		Units
Mathematics 1
MATH 41	Calculus	5
MATH 42	Calculus	5
Select one of the following:		5-10
CME 100	Vector Calculus for Engineers
MATH 51 & MATH 52	Linear Algebra and Differential Calculus of Several Variables and Integral Calculus of Several Variables
Select one of the following:		5
CME 102	Ordinary Differential Equations for Engineers
or MATH 53	Ordinary Differential Equations with Linear Algebra
Select one of the following:		4-5
CME 104	Linear Algebra and Partial Differential Equations for Engineers
or CME 106	Introduction to Probability and Statistics for Engineers
Science 1
CHEM 31X	Chemical Principles Accelerated	5
CHEM 33	Structure and Reactivity	5
CHEM 35	Synthetic and Physical Organic Chemistry	5
PHYSICS 41	Mechanics	4
PHYSICS 43	Electricity and Magnetism	4
CHEM 131	Organic Polyfunctional Compounds	3
Technology in Society
One course required, see Basic Requirement 4		3-5
Engineering Fundamentals
Three courses minimum; see Basic Requirement 3
ENGR/CHEMENG 20	Introduction to Chemical Engineering	3
Fundamentals Elective from another School of Engineering department		3-5
See the UGHB for a list of courses.
Select one of the following:		3
ENGR 25B	Biotechnology (same as CHEMENG 25B)
ENGR 25E	Energy: Chemical Transformations for Production, Storage, and Use (same as CHEMENG 25E)
Chemical Engineering Depth
Minimum 68 Engineering Science and Design units; see Basic Requirement 5
CHEMENG 10	The Chemical Engineering Profession	1
CHEMENG 100	Chemical Process Modeling, Dynamics, and Control	3
CHEMENG 110	Equilibrium Thermodynamics	3
CHEMENG 120A	Fluid Mechanics	4
CHEMENG 120B	Energy and Mass Transport	4
CHEMENG 130	Separation Processes	3
CHEMENG 150	Biochemical Engineering	3
CHEMENG 170	Kinetics and Reactor Design	3
CHEMENG 180	Chemical Engineering Plant Design	4
CHEMENG 181	Biochemistry I	3
CHEMENG 185A	Chemical Engineering Laboratory A (WIM)	4
CHEMENG 185B	Chemical Engineering Laboratory B	4
CHEM 171	Physical Chemistry I	3
CHEM 173	Physical Chemistry II	3
CHEM 175	Physical Chemistry III	3
Select four of the following: 2,3		12
CHEMENG 140	Micro and Nanoscale Fabrication Engineering
CHEMENG 142	Basic Principles of Heterogeneous Catalysis with Applications in Energy Transformations
CHEMENG 160	Polymer Science and Engineering
CHEMENG 162	Polymers for Clean Energy and Water
CHEMENG 174	Environmental Microbiology I
CHEMENG 183	Biochemistry II
CHEMENG 196	Creating New Ventures in Engineering and Science-based Industries
Total Units		122-132

*	For additional information and sample programs, see the Handbook for Undergraduate Engineering Programs (UGHB)
1	Unit count is higher if program includes one of more of the following: MATH 51 and  MATH 52 in lieu of CME 100; or CHEM 31A and CHEM 31B in lieu of CHEM 31X.
2	Any two acceptable except combining 160 and 162.
3	Students may substitute two of the depth electives with two other science and engineering 3-unit lecture courses.  See UGHB for additional details.

Civil Engineering (CE)

Completion of the undergraduate program in Civil Engineering leads to the conferral of the Bachelor of Science in Civil Engineering.

Mission of the Undergraduate Program in Civil Engineering

The mission of the undergraduate program in Civil Engineering is to provide students with the principles of engineering and the methodologies necessary for civil engineering practice. This pre-professional program balances the fundamentals common to many specialties in civil engineering and allows for concentration in structures and construction or environmental and water studies.  Students in the major learn to apply knowledge of mathematics, science, and civil engineering to conduct experiments, design structures and systems to creatively solve engineering problems, and communicate their ideas effectively. The curriculum includes course work in structural, construction, and environmental engineering. The major prepares students for careers in consulting, industry and government, as well as for graduate studies in engineering.

Requirements

		Units
Mathematics and Science		45
45 units minimum; see Basic Requirements 1 and 2 1
Technology in Society
One course; see Basic Requirement 4 2		3-5
Engineering Fundamentals
Three courses minimum, see Basic Requirement 3
ENGR 14	Intro to Solid Mechanics	4
ENGR 90/CEE 70	Environmental Science and Technology	3
Fundamentals Elective		3-5
Engineering Depth
Minimum of 68 Engineering Fundamentals plus Engineering Depth; see Basic Requirement 5
CEE 100	Managing Sustainable Building Projects 3	4
CEE 101A	Mechanics of Materials	4
CEE 101B	Mechanics of Fluids (or CEE 101N)	4
CEE 101C	Geotechnical Engineering	4
CEE 146A	Engineering Economy	3
Specialty courses in either:		36-39
Environmental and Water Studies (see below)
Structures and Construction (see below)
Other School of Engineering Electives		3-0
Total Units		116-120

1	Mathematics must include CME 100 Vector Calculus for Engineers and CME 102 Ordinary Differential Equations for Engineers (or Math 51 Linear Algebra and Differential Calculus of Several Variables and MATH 53 Ordinary Differential Equations with Linear Algebra) and a Statistics course. Science must include Physics 41 Mechanics; either ENGR 31 Chemical Principles with Application to Nanoscale Science and Technology, CHEM31A Chemical Principles I or CHEM 31X Chemical Principles; two additional quarters in either chemistry or physics, and GS 1A Introduction to Geology: The Physical Science of the Earth (or GS 1B or 1C); for students in the Environmental and Water Studies track, the additional chemistry or physics must include CHEM 33; for students in the Structures and Construction track, it must include PHYSICS 43 or 45. Please note that the only quarter GS 1A  is offered for AY 2015-16 is Spring Quarter.
2	Chosen TiS class must specifically include an ethics component, as indicated in Figure 3-3 in the Engineering Undergraduate Handbook (http://web.stanford.edu/group/ughb/cgi-bin/handbook/index.php/Handbooks)
3	CEE 100 meets the Writing in the Major (WIM) requirement

Environmental and Water Studies Focus

		Units
ENGR 30	Engineering Thermodynamics 1	3
CEE 101D	Computations in Civil and Environmental Engineering (or CEE 101S) 2	3
CEE 160	Mechanics of Fluids Laboratory (req'd only if CEE 101B is taken)	2
CEE 161A	Rivers, Streams, and Canals	3-4
CEE 166A	Watersheds and Wetlands	3
CEE 166B	Floods and Droughts, Dams and Aqueducts	3
CEE 171	Environmental Planning Methods	3
CEE 172	Air Quality Management	3
CEE 177	Aquatic Chemistry and Biology	4
CEE 179A	Water Chemistry Laboratory	3
CEE 179C	Environmental Engineering Design	5
(or CEE 169) Capstone design experience course
Remaining specialty units from:
CEE 63	Weather and Storms 2	3
CEE 64	Air Pollution and Global Warming: History, Science, and Solutions 2	3
CEE 107A	Understanding Energy	3
CEE 107F	Understanding Energy -- Field Trips	1
CEE 107W	Understanding Energy -- Workshop	1
CEE 109	Creating a Green Student Workforce to Help Implement Stanford's Sustainability Vision	2
CEE 155	Introduction to Sensing Networks for CEE	4
CEE 164	Introduction to Physical Oceanography	4
CEE 165C	Water Resources Management	3
CEE 166D	Water Resources and Water Hazards Field Trips	2
CEE 172A	Indoor Air Quality	2-3
CEE 174A	Providing Safe Water for the Developing and Developed World	3
CEE 174B	Wastewater Treatment: From Disposal to Resource Recovery	3
CEE 176A	Energy Efficient Buildings	3-4
CEE 176B	Electric Power: Renewables and Efficiency	3-4
CEE 178	Introduction to Human Exposure Analysis	3
CEE 199	Undergraduate Research in Civil and Environmental Engineering	1-4

Structures and Construction Focus

		Units
CEE 102	Legal Principles in Design, Construction, and Project Delivery	3
CEE 156	Building Systems	4
CEE 180	Structural Analysis	4
CEE 181	Design of Steel Structures	4
CEE 182	Design of Reinforced Concrete Structures	4
CEE 183	Integrated Civil Engineering Design Project	4
Select one of the following:		4
ENGR 50	Introduction to Materials Science, Nanotechnology Emphasis
ENGR 50E	Introduction to Materials Science, Energy Emphasis
ENGR 50M	Introduction to Materials Science, Biomaterials Emphasis
Remaining specialty units from:
ENGR 15	Dynamics	4
CME 104	Linear Algebra and Partial Differential Equations for Engineers	5
CEE 101D	Computations in Civil and Environmental Engineering (or CEE 101S)	3
CEE 112A	Industry Applications of Virtual Design & Construction	2-4
CEE 112B	Industry Applications of Virtual Design & Construction	2-4
CEE 122A	Computer Integrated Architecture/Engineering/Construction	2
CEE 122B	Computer Integrated A/E/C	2
CEE 131A Professional Practice: Mixed Use Design in an Urban Setting (not given AY 2015-16)
CEE 131B	Financial Management of Sustainable Urban Systems	3
CEE 141A	Infrastructure Project Development	3
CEE 141B	Infrastructure Project Delivery	3
CEE 151	Negotiation	3
CEE 155	Introduction to Sensing Networks for CEE	4
CEE 160	Mechanics of Fluids Laboratory	2
CEE 161A	Rivers, Streams, and Canals	3-4
CEE 171	Environmental Planning Methods	3
CEE 176A	Energy Efficient Buildings	3-4
CEE 176B	Electric Power: Renewables and Efficiency	3-4
CEE 195	Fundamentals of Structural Geology	3
CEE 196	Engineering Geology and Global Change	3
CEE 199	Undergraduate Research in Civil and Environmental Engineering	1-4
CEE 203	Probabilistic Models in Civil Engineering	3-4
One of the following can also count as remaining specialty units.		3-4
CEE 120A	Building Information Modeling Workshop (or CEE 120S or CEE 120B)	2-4
CEE 130	Architectural Design: 3-D Modeling, Methodology, and Process
CEE 131A	Professional Practice: Mixed-Use Design in an Urban Setting
CEE 134B	Intermediate Arch Studio

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB).

Computer Science (CS)

Completion of the undergraduate program in Computer Science leads to the conferral of the Bachelor of Science in Computer Science.

Mission of the Undergraduate Program in Computer Science

The mission of the undergraduate program in Computer Science is to develop students' breadth of knowledge across the subject areas of computer sciences, including their ability to apply the defining processes of computer science theory, abstraction, design, and implementation to solve problems in the discipline. Students take a set of core courses. After learning the essential programming techniques and the mathematical foundations of computer science, students take courses in areas such as programming techniques, automata and complexity theory, systems programming, computer architecture, analysis of algorithms, artificial intelligence, and applications. The program prepares students for careers in government, law, and the corporate sector, and for graduate study.

Requirements

Mathematics (26 units minimum)—

CS 103	Mathematical Foundations of Computing 1	5
CS 109	Introduction to Probability for Computer Scientists 2	5
MATH 41 & MATH 42	Calculus and Calculus 3	10
Plus two electives 2

Science (11 units minimum)—

PHYSICS 41	Mechanics	4
PHYSICS 43	Electricity and Magnetism	4
Science elective 5		3

Technology in Society (3-5 units)—

One course; see Basic Requirement 4

Engineering Fundamentals (13 units minimum; see Basic Requirement 3)—

CS 106B	Programming Abstractions	5
or CS 106X	Programming Abstractions (Accelerated)
ENGR 40	Introductory Electronics 4	5
or ENGR 40A or 40M*
Fundamentals Elective (may not be 70A, B, or X)		3-5
*Students who take ENGR 40A or 40M for fewer than 5 units are required to take 1-2 additional units of ENGR Fundamentals (13 units minimum), or 1-2 additional units of Depth (27 units minimum for track and elective courses).

Writing in the Major—

Select one of the following:
CS 181W	Computers, Ethics, and Public Policy
CS 191W	Writing Intensive Senior Project
CS 194W	Software Project
CS 210B	Software Project Experience with Corporate Partners
CS 294W	Writing Intensive Research Project in Computer Science

Computer Science Core (15 units)—

CS 107	Computer Organization and Systems	5
or CS 107E	Computer Systems from the Ground Up
CS 110	Principles of Computer Systems	5
CS 161	Design and Analysis of Algorithms	5

Computer Science Depth B.S.

Choose one of the following ten CS degree tracks (a track must consist of at least 25 units and 7 classes):

Artificial Intelligence Track—

		Units
CS 221	Artificial Intelligence: Principles and Techniques	4
Select two of the following:		6-8
CS 223A	Introduction to Robotics
CS 224M	Multi-Agent Systems
CS 224N	Natural Language Processing
CS 228	Probabilistic Graphical Models: Principles and Techniques
CS 229	Machine Learning
CS 131	Computer Vision: Foundations and Applications
or CS 231A	Computer Vision: From 3D Reconstruction to Recognition
One additional course from the list above or the following:		3-4
CS 124	From Languages to Information
CS 205A	Mathematical Methods for Robotics, Vision, and Graphics
CS 222
CS 224S	Spoken Language Processing
CS 224U	Natural Language Understanding
CS 224W	Social Information and Network Analysis
CS 225A	Experimental Robotics
CS 225B	Robot Programming Laboratory
CS 227B	General Game Playing
CS 231A	Computer Vision: From 3D Reconstruction to Recognition (If not taken for track requirement B)
CS 231B	The Cutting Edge of Computer Vision
CS 231M
CS 231N	Convolutional Neural Networks for Visual Recognition
CS 262	Computational Genomics
CS 276	Information Retrieval and Web Search
CS 277	Experimental Haptics
CS 279	Computational Biology: Structure and Organization of Biomolecules and Cells
CS 329	Topics in Artificial Intelligence (with adviser consent)
CS 331A	Advanced Reading in Computer Vision
CS 371	Computational Biology in Four Dimensions
CS 374	Algorithms in Biology
CS 379	Interdisciplinary Topics (with adviser consent)
EE 263	Introduction to Linear Dynamical Systems
EE 376A	Information Theory
ENGR 205	Introduction to Control Design Techniques
ENGR 209A	Analysis and Control of Nonlinear Systems
MSE 251	Stochastic Control
MSE 351	Dynamic Programming and Stochastic Control
STATS 315A	Modern Applied Statistics: Learning
STATS 315B	Modern Applied Statistics: Data Mining
Track Electives (at least three additional courses from the above lists, the general CS electives list, or the following): 5		9-13
CS 238	Decision Making under Uncertainty
CS 275	Translational Bioinformatics
CS 278
CS 334A	Convex Optimization I
or EE 364A	Convex Optimization I
EE 364B	Convex Optimization II
ECON 286	Game Theory and Economic Applications
MSE 252	Decision Analysis I: Foundations of Decision Analysis
MSE 352	Decision Analysis II: Professional Decision Analysis
MSE 355	Influence Diagrams and Probabilistics Networks
PHIL 152	Computability and Logic
PSYCH 202	Cognitive Neuroscience
PSYCH 204A	Human Neuroimaging Methods
PSYCH 204B	Computational Neuroimaging: Analysis Methods
STATS 200	Introduction to Statistical Inference
STATS 202	Data Mining and Analysis
STATS 205	Introduction to Nonparametric Statistics

Biocomputation Track—

		Units
The Mathematics, Science, and Engineering Fundamentals requirements are non-standard for this track. See Handbook for Undergraduate Engineering Programs for details.
Select one of the following:		3-4
CS 121	(Not given this year)
CS 221	Artificial Intelligence: Principles and Techniques
CS 228	Probabilistic Graphical Models: Principles and Techniques
CS 229	Machine Learning
CS 231A	Computer Vision: From 3D Reconstruction to Recognition
Select one of the following:
CS 173	A Computational Tour of the Human Genome
or CS 273A	A Computational Tour of the Human Genome
CS 262	Computational Genomics
CS 270	Modeling Biomedical Systems: Ontology, Terminology, Problem Solving
CS 274	Representations and Algorithms for Computational Molecular Biology
CS 275	Translational Bioinformatics
CS 279	Computational Biology: Structure and Organization of Biomolecules and Cells
One additional course from the lists above or the following:		3-4
CS 124	From Languages to Information
CS 145	Introduction to Databases
CS 147	Introduction to Human-Computer Interaction Design
CS 148	Introduction to Computer Graphics and Imaging
CS 248	Interactive Computer Graphics
One course selected from either the Biomedical Computation (BMC) 'Informatics' electives list (go to http://bmc.stanford.edu and select Informatics from the elective options), BIOE 101, or from the general CS electives list 5		3-4
One course from the BMC Informatics elective list (go to http://bmc.stanford.edu)		3-4
One course from either the BMC Informatics, Cellular/Molecular, or Organs/Organisms electives lists		3-5
One course from either the BMC Cellular/Molecular or Organs/Organisms electives lists		3-5

Computer Engineering Track—

		Units
EE 108 & EE 180	Digital System Design and Digital Systems Architecture	6-8
Select two of the following:		8
EE 101A	Circuits I
EE 101B	Circuits II
EE 102A	Signal Processing and Linear Systems I
EE 102B	Signal Processing and Linear Systems II
Satisfy the requirements of one of the following concentrations:
1) Digital Systems Concentration
CS 140	Operating Systems and Systems Programming
or CS 143	Compilers
EE 109	Digital Systems Design Lab
EE 271	Introduction to VLSI Systems
Plus two of the following (6-8 units):
CS 140	Operating Systems and Systems Programming (if not counted above)
or CS 143	Compilers
CS 144	Introduction to Computer Networking
CS 149
CS 240E
CS 244	Advanced Topics in Networking
EE 273	Digital Systems Engineering
EE 282	Computer Systems Architecture
2) Robotics and Mechatronics Concentration
CS 205A	Mathematical Methods for Robotics, Vision, and Graphics
CS 223A	Introduction to Robotics
ME 210	Introduction to Mechatronics
ENGR 105	Feedback Control Design
Plus one of the following (3-4 units):
CS 225A	Experimental Robotics
CS 225B	Robot Programming Laboratory
CS 231A	Computer Vision: From 3D Reconstruction to Recognition
CS 277	Experimental Haptics
ENGR 205	Introduction to Control Design Techniques
ENGR 207A	Linear Control Systems I
ENGR 207B	Linear Control Systems II
3) Networking Concentration
CS 140 & CS 144	Operating Systems and Systems Programming and Introduction to Computer Networking
Plus three of the following (9-11 units):
CS 240	Advanced Topics in Operating Systems
CS 240E
CS 241	Embedded Systems Workshop
CS 244	Advanced Topics in Networking
CS 244B	Distributed Systems
CS 244E
CS 249A	Object-Oriented Programming from a Modeling and Simulation Perspective
CS 249B	Large-scale Software Development
EE 179	Analog and Digital Communication Systems

Graphics Track—

		Units
CS 148 & CS 248	Introduction to Computer Graphics and Imaging and Interactive Computer Graphics	8
Select one of the following: 6		3-5
CS 205A	Mathematical Methods for Robotics, Vision, and Graphics (strongly recommended as a preferred choice)
CME 104	Linear Algebra and Partial Differential Equations for Engineers (Note: students taking CME 104 are also required to take its prerequisite course, CME 102)
CME 108	Introduction to Scientific Computing
MATH 52	Integral Calculus of Several Variables
MATH 113	Linear Algebra and Matrix Theory
Select two of the following:		6-8
CS 178
CS 231A	Computer Vision: From 3D Reconstruction to Recognition
or CS 131	Computer Vision: Foundations and Applications
CS 233	The Shape of Data: Geometric and Topological Data Analysis
CS 268
CS 348A	Computer Graphics: Geometric Modeling
CS 348B	Computer Graphics: Image Synthesis Techniques
CS 348V
CS 448	Topics in Computer Graphics
Track Electives: at least two additional courses from the lists above, the general CS electives list, or the following: 5		6-8
ARTSTUDI 160	Intro to Digital / Physical Design
ARTSTUDI 170	Introduction to Photography
ARTSTUDI 179	Digital Art I
CME 302	Numerical Linear Algebra
CME 306	Numerical Solution of Partial Differential Equations
EE 262	Two-Dimensional Imaging
EE 264	Digital Signal Processing
EE 278	Introduction to Statistical Signal Processing
EE 368	Digital Image Processing
ME 101	Visual Thinking
PSYCH 30	Introduction to Perception
PSYCH 221	Applied Vision and Image Systems

Human-Computer Interaction Track—

		Units
CS 147	Introduction to Human-Computer Interaction Design	4
CS 247	Human-Computer Interaction Design Studio	4
Any three of the following:
CS 142	Web Applications
CS 148	Introduction to Computer Graphics and Imaging
CS 194H	User Interface Design Project
CS 210A	Software Project Experience with Corporate Partners
CS 376	Human-Computer Interaction Research
Any CS 377A/B/C/ 'Topics in HCI' of three or more units
CS 448B	Data Visualization
ME 216M
At least two additional courses from above list, the general CS electives list, or the following: 5		3-6
Any d.school class of 3+ units; any class of 3+ units at hci.stanford.edu under the 'courses' link
Communication-
COMM 121	Behavior and Social Media
COMM 124	Digital Deception
or COMM 224	Digital Deception
COMM 140	Digital Media Entrepreneurship
or COMM 240	Digital Media Entrepreneurship
COMM 166	Virtual People
COMM 169	Computers and Interfaces
or COMM 269	Computers and Interfaces
COMM 172	Media Psychology
or COMM 272	Media Psychology
COMM 182
COMM 324	Language and Technology
Art Studio-
ARTSTUDI 160	Intro to Digital / Physical Design
ARTSTUDI 162	Embodied Interfaces
ARTSTUDI 163	Drawing with Code
ARTSTUDI 164	DESIGN IN PUBLIC SPACES
ARTSTUDI 165	Social Media and Performative Practices
ARTSTUDI 168	Data as Material
ARTSTUDI 264	Advanced Interaction Design
ARTSTUDI 266	Sulptural Screens / Malleable Media
ARTSTUDI 267	Emerging Technology Studio
Sym Sys-
SYMSYS 245	Cognition in Interaction Design
Psychology-
PSYCH 30	Introduction to Perception
PSYCH 45	Introduction to Learning and Memory
PSYCH 70	Introduction to Social Psychology
PSYCH 75	Introduction to Cultural Psychology
PSYCH 110	Research Methods and Experimental Design
PSYCH 131	Language and Thought
PSYCH 154	Judgment and Decision-Making
Empirical Methods-
MSE 125	Introduction to Applied Statistics
PSYCH 252	Statistical Methods for Behavioral and Social Sciences
PSYCH 254	Lab in Experimental Methods
PSYCH 110	Research Methods and Experimental Design
STATS 203	Introduction to Regression Models and Analysis of Variance
EDUC 191X
HUMBIO 82A	Qualitative Research Methodology
ME Design-
ME 101	Visual Thinking
ME 115A	Introduction to Human Values in Design
ME 203	Design and Manufacturing
ME 210	Introduction to Mechatronics
ME 216A	Advanced Product Design: Needfinding
Learning Design + Tech-
EDUC 281X
EDUC 239X
EDUC 338X
EDUC 342	Child Development and New Technologies
MS&E-
MSE 185	Global Work
MSE 331
Computer Music-
MUSIC 220A	Fundamentals of Computer-Generated Sound
MUSIC 220B	Compositional Algorithms, Psychoacoustics, and Computational Music
MUSIC 220C	Research Seminar in Computer-Generated Music
MUSIC 250A	Physical Interaction Design for Music
Optional Elective 5

Information Track—

		Units
CS 124	From Languages to Information	4
CS 145	Introduction to Databases	4
Two courses, from different areas:		6-9
1) Information-based AI applications
CS 224N	Natural Language Processing
CS 224S	Spoken Language Processing
CS 229	Machine Learning
CS 229A	(Not given this year)
CS 233	The Shape of Data: Geometric and Topological Data Analysis
2) Database and Information Systems
CS 140	Operating Systems and Systems Programming
CS 142	Web Applications
CS 245	Database Systems Principles
CS 246	Mining Massive Data Sets
CS 341	Project in Mining Massive Data Sets
CS 345	(Offered occasionally)
CS 346	Database System Implementation
CS 347	Parallel and Distributed Data Management
3) Information Systems in Biology
CS 262	Computational Genomics
CS 270	Modeling Biomedical Systems: Ontology, Terminology, Problem Solving
CS 274	Representations and Algorithms for Computational Molecular Biology
4) Information Systems on the Web
CS 224W	Social Information and Network Analysis
CS 276	Information Retrieval and Web Search
CS 364B	(Not given this year)
At least three additional courses from the above areas or the general CS electives list. 5

Systems Track—

		Units
CS 140	Operating Systems and Systems Programming	4
Select one of the following:		3-4
CS 143	Compilers
EE 180	Digital Systems Architecture
Two additional courses from the list above or the following:		6-8
CS 144	Introduction to Computer Networking
CS 145	Introduction to Databases
CS 149
CS 155	Computer and Network Security
CS 240	Advanced Topics in Operating Systems
CS 242	Programming Languages
CS 243	Program Analysis and Optimizations
CS 244	Advanced Topics in Networking
CS 245	Database Systems Principles
EE 271	Introduction to VLSI Systems
EE 282	Computer Systems Architecture
Track Electives: at least three additional courses selected from the list above, the general CS electives list, or the following: 5		9-12
CS 240E
CS 241	Embedded Systems Workshop
CS 244C	Readings and Projects in Distributed Systems
CS 244E
CS 315A	Parallel Computer Architecture and Programming
or CS 316	Advanced Multi-Core Systems
CS 341	Project in Mining Massive Data Sets
CS 343	(Not given this year)
CS 344	Topics in Computer Networks
CS 345	(Offered occasionally )
CS 346	Database System Implementation
CS 347	Parallel and Distributed Data Management
CS 349	Topics in Programming Systems (with permission of undergraduate advisor)
CS 448	Topics in Computer Graphics
EE 382C	Interconnection Networks
EE 384A	Internet Routing Protocols and Standards
EE 384B	Multimedia Communication over the Internet
EE 384C	Wireless Local and Wide Area Networks
EE 384S	Performance Engineering of Computer Systems & Networks
EE 384X	Packet Switch Architectures

Theory Track—

		Units
CS 154	Introduction to Automata and Complexity Theory	4
Select one of the following:		3
CS 167	Readings in Algorithms (Not given this year)
CS 168	The Modern Algorithmic Toolbox
CS 255	Introduction to Cryptography
CS 261	Optimization and Algorithmic Paradigms
CS 264
CS 265	Randomized Algorithms and Probabilistic Analysis
CS 268
CS 361A
CS 361B
Two additional courses from the list above or the following:		6-8
CS 143	Compilers
CS 155	Computer and Network Security
CS 157	Logic and Automated Reasoning
or PHIL 151	Metalogic
CS 166	Data Structures
CS 205A	Mathematical Methods for Robotics, Vision, and Graphics
CS 228	Probabilistic Graphical Models: Principles and Techniques
CS 233	The Shape of Data: Geometric and Topological Data Analysis
CS 242	Programming Languages
CS 254
CS 259	((With adviser consent); Not given this year)
CS 262	Computational Genomics
CS 263	Algorithms for Modern Data Models
CS 266
CS 267	Graph Algorithms
CS 354	Topics in Circuit Complexity (Not given this year)
CS 355	(Not given this year)
CS 357	Advanced Topics in Formal Methods (Not given this year)
CS 358	Topics in Programming Language Theory
CS 359	Topics in the Theory of Computation (with adviser consent)
CS 364A	Algorithmic Game Theory
CS 364B	(Not given this year)
CS 366	(Not given this year)
CS 367	Algebraic Graph Algorithms (Not given this year)
CS 369	Topics in Analysis of Algorithms (with adviser consent)
CS 374	Algorithms in Biology
MSE 310	Linear Programming
Track Electives: at least three additional courses from the list above, the general CS electives list, or the following: 5		9-12
CME 302	Numerical Linear Algebra
CME 305	Discrete Mathematics and Algorithms
PHIL 152	Computability and Logic

Unspecialized Track—

		Units
CS 154	Introduction to Automata and Complexity Theory	4
Select one of the following:		4
CS 140	Operating Systems and Systems Programming
CS 143	Compilers
One additional course from the list above or the following:		3-4
CS 144	Introduction to Computer Networking
CS 155	Computer and Network Security
CS 242	Programming Languages
CS 244	Advanced Topics in Networking
EE 180	Digital Systems Architecture
Select one of the following:		3-4
CS 121	(Not given this year)
CS 221	Artificial Intelligence: Principles and Techniques
CS 223A	Introduction to Robotics
CS 228	Probabilistic Graphical Models: Principles and Techniques
CS 229	Machine Learning
CS 231A	Computer Vision: From 3D Reconstruction to Recognition
Select one of the following:		3-4
CS 145	Introduction to Databases
CS 147	Introduction to Human-Computer Interaction Design
CS 148	Introduction to Computer Graphics and Imaging
CS 248	Interactive Computer Graphics
CS 262	Computational Genomics
At least two courses from the general CS electives list 5

Individually Designed Track—

Students may propose an individually designed track. Proposals should include a minimum of seven courses, at least four of which must be CS courses numbered 100 or above. See Handbook for Undergraduate Engineering Programs for further information.

Senior Capstone Project (3 units minimum)

CS 191	Senior Project 7
CS 191W	Writing Intensive Senior Project 7
CS 194	Software Project
CS 194H	User Interface Design Project
CS 194W	Software Project
CS 210B	Software Project Experience with Corporate Partners
CS 294W	Writing Intensive Research Project in Computer Science

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB)

1	MATH 19, MATH 20, and MATH 21 may be taken instead of MATH 41 and MATH 42 as long as at least 26 MATH units are taken. AP Calculus must be approved by the School of Engineering.
2	The math electives list consists of: MATH 51, MATH 104, MATH 108, MATH 109, MATH 110, MATH 113; CS 157, CS 205A; PHIL 151; CME 100, CME 102, CME 104. Completion of MATH 52 and MATH 53 counts as one math elective. Restrictions: CS 157 and PHIL 151 may not be used in combination to satisfy the math electives requirement. Students who have taken both MATH 51 and MATH 52 may not count CME 100 as an elective. Courses counted as math electives cannot also count as CS electives, and vice versa.
3	The science elective may be any course of 3 or more units from the School of Engineering Science list plus PSYCH 30; AP Chemistry may be used to meet this requirement. Either of the PHYSICS sequences 61/63 or 21/23 may be substituted for 41/43 as long as at least 11 science units are taken. AP Physics must be approved by the School of Engineering.
4	Students who take ENGR 40A (3 units) are required to take two additional units of ENGR Fundamentals (13 units minimum), or 2 additional units of Depth (27 units minimum for track and elective courses).
5	General CS Electives: CS 108,CS 124, CS 131, CS 140, CS 142, CS 143 CS 144, CS 145, CS 147, CS 148, CS 149, CS 154, CS 155, CS 157(or PHIL 151), CS 164, CS 166, CS 167, CS 168, CS 190, CS 205A, CS 205B, CS 210A, CS 223A, CS 224M, CS 224N, CS 224S, CS 224U, CS 224W, CS 225A, CS 225B, CS 227B, CS 228, CS 228T, CS 229, CS 229A, CS 229T, CS 231A, CS 231B, CS 231M, CS 231N, CS 232, CS 233, CS 240, CS 240H, CS 242, CS 243, CS 244, CS 244B, CS 245, CS 246, CS 247, CS 248, CS 249A, CS 249B, CS 251, CS 254, CS 255, CS 261, CS 262, CS 263, CS 264, CS 265, CS 266, CS 267, CS 270, CS 272, CS 173 or CS 273A, CS 274, CS 276, CS 277, CS 279, CS 348B; CME 108; EE 180, EE 282, EE 364A.
6	CS 205A Mathematical Methods for Robotics, Vision, and Graphics is recommended in this list for the Graphics track. Students taking CME 104 Linear Algebra and Partial Differential Equations for Engineers are also required to take its prerequisite, CME 102 Ordinary Differential Equations for Engineers.
7	Independent study projects (CS 191 Senior Projector CS 191W Writing Intensive Senior Project) require faculty sponsorship and must be approved by the adviser, faculty sponsor, and the CS senior project adviser (P. Young). A signed approval form, along with a brief description of the proposed project, should be filed the quarter before work on the project is begun. Further details can be found in the Handbook for Undergraduate Engineering Programs.

Electrical Engineering (EE)

Completion of the undergraduate program in Electrical Engineering leads to the conferral of the Bachelor of Science in Electrical Engineering.

Mission of the Undergraduate Program in Electrical Engineering

The mission of the undergraduate program of the Department of Electrical Engineering is to augment the liberal education expected of all Stanford undergraduates, to impart basic understanding of electrical engineering and to develop skills in the design and building of systems that directly impact societal needs. The program includes a balanced foundation in the physical sciences, mathematics and computing; core courses in electronics, information systems and digital systems; and develops specific skills in the analysis and design of systems. Students in the major have broad flexibility to select from many specialization areas beyond the core, including areas in electronics, optics, information systems and hardware and software systems as well as application-oriented cross-cuts in bio-instrumentation and bio-imaging, energy and environment and music. The program prepares students for a broad range of careers—both industrial and government—as well as for professional and academic graduate education.

Requirements

Mathematics
MATH 41	Calculus	5
MATH 42	Calculus	5
Select one 2-course sequence:		10
CME 100 & CME 102	Vector Calculus for Engineers and Ordinary Differential Equations for Engineers (Same as ENGR 154)
MATH 52 & MATH 53	Integral Calculus of Several Variables and Ordinary Differential Equations with Linear Algebra
EE Math. One additional 100-level course. Select one of the following:		3
EE 102B	Signal Processing and Linear Systems II (if not used in Depth)
EE 103	Introduction to Matrix Methods
EE 142	Engineering Electromagnetics
CME 104/ENGR 155B	Linear Algebra and Partial Differential Equations for Engineers
MATH 113	Linear Algebra and Matrix Theory
CS 103	Mathematical Foundations of Computing
Statistics/Probability. Select one of the following: 1		3-4
EE 178	Probabilistic Systems Analysis (Preferred)
CS 109	Introduction to Probability for Computer Scientists
Science
Select one of the following sequences:		8
PHYSICS 41 & PHYSICS 43	Mechanics and Electricity and Magnetism 2
PHYSICS 61 & PHYSICS 63	Mechanics and Special Relativity and Electricity, Magnetism, and Waves
Science elective. One additional 4-5 unit course from approved list in Undergraduate Handbook, Figure 3-2. 3		4-5
Technology in Society
One course, see Basic Requirement 4 in the School of Engineering section		3-5
Engineering Fundamentals 4
Select one of the following:
CS 106B/ENGR 70B	Programming Abstractions	5
or CS 106X/ENGR 70X	Programming Abstractions (Accelerated)
At least two additional courses, at least one of which is not in EE or CS (CS 106A is not allowed). Choose from table in Undergraduate Handbook, Figure 3-4. One from ENGR 40 or ENGR 40M recommended.		8-10
Writing in the Major (WIM)
Select one of the following:		3-4
EE 109	Digital Systems Design Lab (WIM/Design)
EE 133	Analog Communications Design Laboratory (WIM/Design)
EE 134	Introduction to Photonics (WIM/Design)
EE 153	Power Electronics (WIM/Design)
EE 155	Green Electronics (WIM/Design)
EE 168	Introduction to Digital Image Processing (WIM/Design)
EE 191W	Special Studies and Reports in Electrical Engineering (WIM; Department approval required) 5
CS 194W	Software Project (WIM/Design)
Core Electrical Engineering Courses
EE 100	The Electrical Engineering Profession 6	1
EE 101A	Circuits I	4
EE 102A	Signal Processing and Linear Systems I	4
EE 108	Digital System Design	4
Physics in Electrical Engineering. Students must complete one of the following courses:		3-5
EE 65	Modern Physics for Engineers (Preferred)
EE 142	Engineering Electromagnetics 7
Depth Courses		14
Select four courses from one of the following Depth areas. Courses must include one required course, one Design course, and 2 additional courses.
Design Course		3-4
Select one of the following:
EE 109	Digital Systems Design Lab (WIM/Design)
EE 133	Analog Communications Design Laboratory (WIM/Design)
EE 134	Introduction to Photonics (WIM/Design)
EE 153	Power Electronics (WIM/Design)
EE 155	Green Electronics (WIM/Design)
EE 168	Introduction to Digital Image Processing (WIM/Design)
EE 262	Two-Dimensional Imaging (Design)
EE 264	Digital Signal Processing 8
CS 194W	Software Project (WIM/Design)
Additional Electives		12
May include up to two additional Engineering Fundamentals, any CS 193 course and any letter graded EE or EE Related courses (minus any previously noted restrictions). Freshman and Sophmore seminars, EE191 and CS 106A do not count toward the 60 units.

1	CME 106 or STATS 116 can also fulfill the Statistics/Probability requirement, but these are not preferred.
2	The EE introductory class ENGR 40 or ENGR 40M may be taken concurrently with PHYSICS 43. PHYSICS 43 is not a prerequisite for ENGR 40 or 40M.  Many students find the material complementary in terms of fundamental and applied perspectives on electronics.
3	A minimum of 12 science units must be taken. A minimum of 40 math and science units combined must be taken.
4	EE Engineering Topics: Fundamentals and Depth courses must total 60 units minimum.
5	EE 191W may satisfy WIM only if it is a follow-up to an REU,  independent study project or as part of an honors thesis project where a faculty agrees to provide supervision of writing a technical paper and with suitable support from the Writing Center.
6	For upper division students, a 200-level seminar in their depth area will be accepted, on petition.
7	EE 142 cannot be double counted.  It may be used for only one of: Math; Physics in Electrical Engineering; or as a depth elective.
8	To satisfy Design, EE 264 must be taken for 4 units and complete the laboratory project.

Depth Areas

		Units
Bio-electronics and Bio-imaging
EE 101B	Circuits II (Required)	4
or EE 102B	Signal Processing and Linear Systems II
EE 122B	Introduction to Biomedical Electronics	3
EE 124	Introduction to Neuroelectrical Engineering	3
EE 134	Introduction to Photonics (WIM/Design)	4
EE 168	Introduction to Digital Image Processing (WIM/Design)	4
EE 169	Introduction to Bioimaging	3
EE 202	Electrical Engineering in Biology and Medicine	3
EE 225	Biochips and Medical Imaging	3
MED 275B	Biomedical Innovation Incubator	2-5
Circuits and Devices
EE 101B	Circuits II (Required)	4
EE 114	Fundamentals of Analog Integrated Circuit Design	3
EE 116	Semiconductor Device Physics	3
EE 118	Introduction to Mechatronics	4
EE 122A	Analog Circuits Laboratory	3
EE 133	Analog Communications Design Laboratory (WIM/Design)	4
EE 153	Power Electronics (WIM/Design)	3-4
EE 155	Green Electronics (WIM/Design)	4
EE 212	Integrated Circuit Fabrication Processes	3
EE 213	Digital MOS Integrated Circuits	3
EE 214B	Advanced Analog Integrated Circuit Design	3
EE 216	Principles and Models of Semiconductor Devices	3
EE 271	Introduction to VLSI Systems	3
Computer Hardware
CS 107	Computer Organization and Systems (Prerequisite for EE 180)	3-5
or CS 107E	Computer Systems from the Ground Up
EE 107	Networked Systems	3
EE 180	Digital Systems Architecture (Required)	4
EE 109	Digital Systems Design Lab (WIM/Design)	4
EE 118	Introduction to Mechatronics	4
EE 155	Green Electronics (WIM/Design)	4
EE 213	Digital MOS Integrated Circuits	3
EE 271	Introduction to VLSI Systems	3
EE 273	Digital Systems Engineering	3
EE 282	Computer Systems Architecture	3
CS 110	Principles of Computer Systems	3-5
CS 140	Operating Systems and Systems Programming	3-4
CS 143	Compilers	3-4
CS 144	Introduction to Computer Networking	3-4
CS 148	Introduction to Computer Graphics and Imaging	3-4
Computer Software
CS 107	Computer Organization and Systems (Prerequisite for EE 180)	3-5
or CS 107E	Computer Systems from the Ground Up
EE 107	Networked Systems	3
EE 180	Digital Systems Architecture (Required)	4
CS 108	Object-Oriented Systems Design	3-4
CS 110	Principles of Computer Systems	3-5
CS 140	Operating Systems and Systems Programming	3-4
CS 143	Compilers	3-4
CS 144	Introduction to Computer Networking	3-4
CS 145	Introduction to Databases	3-4
CS 148	Introduction to Computer Graphics and Imaging	3-4
CS 155	Computer and Network Security	3
EE 155	Green Electronics (WIM/Design)	4
CS 194W	Software Project (WIM/Design)	3
Energy and Environment
EE 101B	Circuits II (Required)	4
or EE 180	Digital Systems Architecture
EE 116	Semiconductor Device Physics	3
EE 134	Introduction to Photonics (WIM/Design)	4
EE 151	Sustainable Energy Systems	3
EE 155	Green Electronics (WIM/Design)	4
EE 153	Power Electronics (WIM/Design)	3-4
EE 168	Introduction to Digital Image Processing (WIM/Design)	3-4
EE 263	Introduction to Linear Dynamical Systems	3
EE 293A	Solar Cells, Fuel Cells, and Batteries: Materials for the Energy Solution	3-4
EE 293B	Fundamentals of Energy Processes	3
CEE 155	Introduction to Sensing Networks for CEE	4
CEE 107A	Understanding Energy (Formerly CEE 173A)	3
CEE 176A	Energy Efficient Buildings	3-4
CEE 176B	Electric Power: Renewables and Efficiency	3-4
ENGR 105	Feedback Control Design	3
ENGR 205	Introduction to Control Design Techniques	3
MATSCI 156	Solar Cells, Fuel Cells, and Batteries: Materials for the Energy Solution	3-4
ME 185	Electric Vehicle Design	3
Music
EE 102B	Signal Processing and Linear Systems II (Required)	4
or MUSIC 320B	Introduction to Audio Signal Processing Part II: Digital Filters
EE 109	Digital Systems Design Lab (WIM/Design)	4
EE 122A	Analog Circuits Laboratory	3
EE 264	Digital Signal Processing	4
MUSIC 256A	Music, Computing, Design I: Art of Design for Computer Music	1-4
MUSIC 256B	Music, Computing, Design II: Virtual and Augmented Reality for Music	3-4
MUSIC 320A	Introduction to Audio Signal Processing Part I: Spectrum Analysis	3-4
MUSIC 420A	Signal Processing Models in Musical Acoustics	3-4
MUSIC 421A	Audio Applications of the Fast Fourier Transform	3-4
MUSIC 422	Perceptual Audio Coding	3
MUSIC 424	Signal Processing Techniques for Digital Audio Effects	3-4
Photonics, Solid State and Electromagnetics
EE 101B	Circuits II (Required)	4
EE 116	Semiconductor Device Physics	3
EE 134	Introduction to Photonics (WIM/Design)	4
EE 136	Introduction to Nanophotonics and Nanostructures	3
EE 142	Engineering Electromagnetics	3
EE 216	Principles and Models of Semiconductor Devices	3
EE 222	Applied Quantum Mechanics I	3
EE 223	Applied Quantum Mechanics II	3
EE 228	Basic Physics for Solid State Electronics	3
EE 236A	Modern Optics	3
EE 236B	Guided Waves	3
EE 242	Electromagnetic Waves	3
EE 247	Introduction to Optical Fiber Communications	3
Signal Processing, Communications and Controls
EE 102B	Signal Processing and Linear Systems II (Required)	4
EE 107	Networked Systems	3
EE 124	Introduction to Neuroelectrical Engineering	3
EE 169	Introduction to Bioimaging	3
EE 261	The Fourier Transform and Its Applications	3
EE 263	Introduction to Linear Dynamical Systems	3
EE 264	Digital Signal Processing	4
EE 278	Introduction to Statistical Signal Processing	3
EE 279	Introduction to Digital Communication	3
ENGR 105	Feedback Control Design	3
ENGR 205	Introduction to Control Design Techniques	3

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB).

Engineering Physics (EPHYS)

Completion of the undergraduate program in Engineering Physics leads to the conferral of the Bachelor of Science in Engineering. The subplan "Engineering Physics" appears on the transcript and on the diploma.

Mission of the Undergraduate Program in Engineering Physics

The mission of the undergraduate program in Engineering Physics is to provide students with a strong foundation in physics and mathematics, together with engineering and problem-solving skills. All majors take high-level math and physics courses as well as engineering courses. This background prepares them to tackle complex problems in multidisciplinary areas that are at the forefront of 21st-century technology such as aerospace physics, biophysics, computational science, solid state devisces, quantum optics and photonics, materials science, nanotechnology, electromechanical systems, energy systems, renewable energy, and any other engineering field that requires a solid background in physics. Because the program emphasizes science, mathematics, and engineering, students are well prepared to pursue graduate work in engineering, physics, or applied physics.

Requirements

		Units
Mathematics
Select one of the following sequences:		10
MATH 51 & MATH 52	Linear Algebra and Differential Calculus of Several Variables and Integral Calculus of Several Variables
CME 100 & CME 104	Vector Calculus for Engineers and Linear Algebra and Partial Differential Equations for Engineers
MATH 53	Ordinary Differential Equations with Linear Algebra	5
or CME 102	Ordinary Differential Equations for Engineers
MATH 131P	Partial Differential Equations I (or CME 204 or MATH 173)	3
Science
PHYSICS 41	Mechanics (or PHYSICS 61)	4
PHYSICS 42	Classical Mechanics Laboratory (or PHYSICS 62) 1	1
PHYSICS 43	Electricity and Magnetism (or PHYSICS 63)	4
PHYSICS 67	Introduction to Laboratory Physics 2	2
PHYSICS 45	Light and Heat (or PHYSICS 65)	4
PHYSICS 46	Light and Heat Laboratory (or PHYSICS 67)	1
PHYSICS 70	Foundations of Modern Physics (if taking the 40 series)	4
Technology in Society
One course required, see Basic Requirement 4		3-5
Engineering Fundamentals
Three courses minimum (CS 106A or X recommended) 3		9-14
Engineering Physics Depth (core)
Advanced Mathematics:
One advanced math elective such as		3-5
EE 261	The Fourier Transform and Its Applications
PHYSICS 112	Mathematical Methods of Physics
CS 109	Introduction to Probability for Computer Scientists
CME 106	Introduction to Probability and Statistics for Engineers
Also qualified are EE 263, any Math or Statistics course numbered 100 or above, and any CME course numbered 200 or above, except CME 206.
Advanced Mechanics: 4		3-4
AA 242A	Classical Dynamics (or ME 333 or PHYSICS 110)	3
Intermediate Electricity and Magnetism		6-8
Select one of the following sequences:
PHYSICS 120 & PHYSICS 121	Intermediate Electricity and Magnetism I and Intermediate Electricity and Magnetism II
EE 142 & EE 242	Engineering Electromagnetics and Electromagnetic Waves
Numerical Methods
Select one of the following:		3-4
APPPHYS 215	Numerical Methods for Physicists and Engineers
CME 108	Introduction to Scientific Computing
CME 206/ME 300C	Introduction to Numerical Methods for Engineering
PHYSICS 113	Computational Physics
Electronics Lab
Select one of the following:		3-5
ENGR 40	Introductory Electronics (ENGR 40A is not allowed)
EE 101B	Circuits II
EE 122A	Analog Circuits Laboratory
PHYSICS 105	Intermediate Physics Laboratory I: Analog Electronics
APPPHYS 207	Laboratory Electronics
Writing Lab (WIM)
Select one of the following:		4-5
AA 190	Directed Research and Writing in Aero/Astro (for Aerospace specialty only)
ENGR 199W	Writing of Original Research for Engineers (for students pursuing an independent research project)
BIOE 131	Ethics in Bioengineering (for Biophysics specialty only)
CS 181W	Computers, Ethics, and Public Policy (for Computational Science specialty only)
EE 134	Introduction to Photonics (for Photonics specialty only)
EE 155	Green Electronics (for Renewable Energy specialty only)
ME 112	Mechanical Systems Design (for Electromechanical System Design specialty only)
ME 131A & ME 140	Heat Transfer and Advanced Thermal Systems (for Energy Systems specialty only)
MATSCI 161	Nanocharacterization Laboratory (Okay for Materials Science and Renewable Energy specialties)
MATSCI 164	Electronic and Photonic Materials and Devices Laboratory (Okay for Materials Science and Renewable Energy specialties)
PHYSICS 107	Intermediate Physics Laboratory II: Experimental Techniques and Data Analysis (for Phontonics specialty)
Quantum Mechanics
Select one of the following sequences:		6-8
EE 222 & EE 223	Applied Quantum Mechanics I and Applied Quantum Mechanics II
PHYSICS 130 & PHYSICS 131	Quantum Mechanics I and Quantum Mechanics II
Thermodynamics and Statistical Mechanics
PHYSICS 170 & PHYSICS 171	Thermodynamics, Kinetic Theory, and Statistical Mechanics I and Thermodynamics, Kinetic Theory, and Statistical Mechanics II	3-8
or ME 346A	Introduction to Statistical Mechanics
Design Course
Select one of the following:		3-4
AA 236A	Spacecraft Design
CS 108	Object-Oriented Systems Design
EE 133	Analog Communications Design Laboratory
ME 203	Design and Manufacturing
ME 210	Introduction to Mechatronics
PHYSICS 108	Advanced Physics Laboratory: Project
Specialty Tracks
Select three courses from one specialty area:		9-12
Aerospace Physics:
AA 203	Introduction to Optimal Control and Dynamic Optimization
AA 244A	Introduction to Plasma Physics and Engineering
AA 251	Introduction to the Space Environment
AA 279A	Space Mechanics
ME 161	Dynamic Systems, Vibrations and Control
Materials Science:
Any MATSCI courses numbered 151 to 199 (except 159Q) or PHYSICS 172
Electromechanical System Design:
ME 80	Mechanics of Materials
ME 112	Mechanical Systems Design
ME 210	Introduction to Mechatronics
or EE 118	Introduction to Mechatronics
Energy Systems:
ME 131A	Heat Transfer
ME 131B	Fluid Mechanics: Compressible Flow and Turbomachinery
ME 140	Advanced Thermal Systems
Renewable Energy:
CEE 176B	Electric Power: Renewables and Efficiency
EE 153	Power Electronics
EE 155	Green Electronics
EE 237	Solar Energy Conversion
EE 293A	Solar Cells, Fuel Cells, and Batteries: Materials for the Energy Solution
EE 293B	Fundamentals of Energy Processes
MATSCI 156	Solar Cells, Fuel Cells, and Batteries: Materials for the Energy Solution
MATSCI 302	Solar Cells
MATSCI 316	Nanoscale Science, Engineering, and Technology
ME 260	Fuel Cell Science and Technology
Biophysics:
APPPHYS 205	Introduction to Biophysics
BIO 132	Advanced Imaging Lab in Biophysics
BIOE 41	Physical Biology of Macromolecules
BIOE 42	Physical Biology of Cells
BIOE 44	Fundamentals for Engineering Biology Lab
BIOE 101	Systems Biology
BIOE 103	Systems Physiology and Design
BIOE 123	Biomedical System Prototyping Lab
CS 262	Computational Genomics
EE 169	Introduction to Bioimaging
or EE 369A	Medical Imaging Systems I
Computational Science:
CME 212	Advanced Programming for Scientists and Engineers
CME 215A	Advanced Computational Fluid Dynamics
CME 215B	Advanced Computational Fluid Dynamics
Any CME course with course number greater than 300 and less than 390
CS 103	Mathematical Foundations of Computing
CS 154	Introduction to Automata and Complexity Theory
CS 161	Design and Analysis of Algorithms
CS 205A	Mathematical Methods for Robotics, Vision, and Graphics
CS 205B	Mathematical Methods for Fluids, Solids, and Interfaces
CS 221	Artificial Intelligence: Principles and Techniques
CS 228	Probabilistic Graphical Models: Principles and Techniques
CS 229	Machine Learning	3-4
STATS 202	Data Mining and Analysis
STATS 213	Introduction to Graphical Models
Total Units		99-127

1	PHYSICS 42 Classical Mechanics Laboratory or PHYSICS 62 Mechanics Laboratory, Mechanics Lab (1 unit), required in 2011-12 and beyond
2	PHYSICS 67 Introduction to Laboratory Physics (2 units), recommended in place of PHYSICS 44 Electricity and Magnetism Lab
3	The Engineering Fundamental courses are to be selected from the Basic Requirements 3 list. Fundamentals courses acceptable for the core program may also be used to satisfy the fundamentals requirement as long as 45 unduplicated units of Engineering are taken.
4	ENGR 15 Dynamics, allowed for students who matriculated in 2011/2012 or earlier; however, AA 242A Classical Dynamics, ME 333 Mechanics or PHYSICS 110 Advanced Mechanics recommended instead of, or in addition to, ENGR 15 Dynamics.
5	Although not required, PHYSICS 59 (Frontiers in Physics Research, 1 unit) and PHYSICS 91SI (Practical Computing for Scientists, 2 units) are highly recommended.

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB).

Honors Program

The School of Engineering offers a program leading to a Bachelor of Science in Engineering: Engineering Physics with Honors.

Honors Criteria

1. Minimum overall GPA of 3.5.
2. Independent research conducted at an advanced level with a faculty research adviser and documented in an honors thesis. The honors candidate must identify a faculty member who will serve as his or her honors research adviser and a second reader who will be asked to read the thesis and give feedback before endorsing the thesis. One of the two must be a member of the Academic Council and in the School of Engineering.

Application: The deadline to apply is October 15 in Autumn Quarter of the senior year. The application documents should be submitted to the student services officer. Applications are reviewed by a subcommittee of the faculty advisers for Engineering Physics majors. Applicants and thesis advisers receive written notification when the application is approved. An application consists of three items:

1. One-page description of the research topic
2. Application form signed by the honors thesis adviser
3. Unofficial Stanford transcript

Requirements and Timeline for Honors in Engineering Physics:

1. Declare the honors program in Axess (ENGR-BSH, Subplan: Engineering Physics)
2. Obtain application form from the student services officer.
3. Apply to honors program by October 15 in the autumn quarter of the senior year.
4. Maintain an overall GPA of at least 3.5.
5. Optional: Under direction of the thesis adviser, students may enroll for research units in ENGR 199(W) or in departmental courses such as ME 191(H).
6. Submit a completed thesis draft to the research adviser and second reader by April 15.
7. Present the thesis work in an oral presentation or poster session in an appropriate forum (e.g., an event that showcases undergraduate research and is organized by the department of the adviser, the school of the adviser, or the university).
8. Incorporate feedback, which the adviser and second reader should provide by April 30, and obtain final endorsement signatures from the thesis adviser and second reader by May 15.
9. Submit two signed, single-sided copies to the student services officer by May 15.

Environmental Systems Engineering (EnvSE)

Completion of the undergraduate program in Environmental Systems Engineering leads to the conferral of the Bachelor of Science in Environmental Systems Engineering.

Environmental Engineering (ENV)

The program in Environmental Engineering has been discontinued. Students currently enrolled in this program should consult the previous year's Stanford Bulletin for program requirements (click on Environmental Engineering in the right hand menu).  Any current Environmental Engineering major wishing ABET accreditation must graduate by June 2015.

Mission of the Undergraduate Program in Environmental Systems Engineering

The mission of the undergraduate program in Environmental Systems Engineering is to prepare students for incorporating environmentally sustainable design, strategies and practices into natural and built systems and infrastructure involving buildings, water supply, and coastal regions. Courses in the program are multidisciplinary in nature, combining math/science/engineering fundamentals, and tools and skills considered essential for an engineer, along with a choice of one of three focus areas for more in-depth study: coastal environments, freshwater environments, or urban environments. This major offers the opportunity for a more focused curriculum than the Environmental and Water Studies concentration in the Civil Engineering degree program. The program of study, which includes a capstone experience, aims to equip engineering students to take on the complex challenges of the 21^st Century involving natural and built environments, in consulting and industry as well as in graduate school.

Requirements

Mathematics and Science
See Basic Requirement 1 and 2 1		36
Technology in Society (TiS)
One 3-5 unit course required, see Basic Requirement 4		3-5
Engineering Fundamentals
Three courses minimum (see Basic Requirement 3), including:
ENGR 70A	Programming Methodology	5
(or ENGR 70X)
(req'd) plus one of the following courses:
ENGR 90 Environmental Science and Technology
(req'd for Freshwater and Coastal focus areas)
or
CEE 146A	Engineering Economy	3
(req'd for Urban focus area)
plus one Engineering Fundamentals Elective		3-5
Fundamental Tools/Skills 2		9
in Visual, Oral/Written Communication, and Modeling/Analysis
Specialty Courses, in either		37
Coastal Environments (see Below)
or Freshwater Environments (see Below)
or Urban Environments (see Below)
Total Units		96-100

1

Math must include CME 100 Vector Calculus for Engineers (or MATH 51 Linear Algebra and Differential Calculus of Several Variables), and either a Probability/Statistics course or CME 102 Ordinary Differential Equations for Engineers (or MATH 53 Ordinary Differential Equations with Linear Algebra). Science must include PHYSICS 41 Mechanics; and either Engr 31 Chemical Principles with Application to Nanoscale Science and Technology, CHEM 31B Chemical Principles II or CHEM 31X Chemical Principles Accelerated (or PHYSICS 43 Electricity and Magnetism, for Urban focus area only).

2

Fundamental Tools/Skills must include: (a) CEE 1 Introduction to Environmental Systems Engineering; (b) at least one Visual Communication class from CEE 31 Accessing Architecture Through Drawing / CEE 31Q Accessing Architecture Through Drawing, CEE 133F Principles of Freehand Drawing, ME 101 Visual Thinking, ME 110 Design Sketching, ARTSTUDI 160 Intro to Digital / Physical Design, or OSPPARIS 44 EAP: Analytical Drawing and Graphic Art; (c) at least one Oral/Written Communication class from ENGR 103 Public Speaking (or ORALCOMM 122 "The TED Commandments": The Art and Heart of Effective Public Speaking), ENGR 202W Technical Writing, or CEE 151 Negotiation, EARTHSYS 195 Natural Hazards and Risk Communication, or EARTHSYS 200 Sustaining Action: Research, Analysis and Writing for the Publicand (d) at least one Modeling/Analysis class from CEE 155 Introduction to Sensing Networks for CEE, CEE 120A Building Information Modeling Workshop (or CEE 120S Building Information Modeling Special Study ), CEE 146A Engineering Economy, CEE 226 Life Cycle Assessment for Complex Systems, EARTHSYS 144 Fundamentals of Geographic Information Science (GIS), CEE 101D Computations in Civil and Environmental Engineering (if not counted as Math), or CME 211 Software Development for Scientists and Engineers (or EARTHSYS 211 Fundamentals of Modeling).

Urban Environments Focus Area (37 units)

Required
CEE 100	Managing Sustainable Building Projects	4
CEE 101B	Mechanics of Fluids (or CEE 101N)	4
CEE 176A	Energy Efficient Buildings	3-4
Electives (at least two of the 4 areas below must be included)
Building Systems
CEE 102	Legal Principles in Design, Construction, and Project Delivery	3
or
CEE 131B	Financial Management of Sustainable Urban Systems	3
CEE 130	Architectural Design: 3-D Modeling, Methodology, and Process	4
CEE 156	Building Systems	4
Energy Systems
CEE 107A	Understanding Energy	3
CEE 176B	Electric Power: Renewables and Efficiency	3-4
ENERGY 171	Energy Infrastructure, Technology and Economics	3
or
ENERGY 191	Optimization of Energy Systems	3-4
Water Systems
CEE 166A	Watersheds and Wetlands	3
CEE 166B	Floods and Droughts, Dams and Aqueducts	3
CEE 174A	Providing Safe Water for the Developing and Developed World	3
CEE 174B	Wastewater Treatment: From Disposal to Resource Recovery	3
Urban Planning
CEE 171	Environmental Planning Methods	3
or
URBANST 163	Land Use Control	4
CEE 177L	Smart Cities & Communities	2-3
URBANST 113	Introduction to Urban Design: Contemporary Urban Design in Theory and Practice	5
or
URBANST 164	Sustainable Cities	4-5
or
URBANST 165	Sustainable Urban and Regional Transportation Planning	4-5
Capstone
CEE 112A	Industry Applications of Virtual Design & Construction	3-4
CEE 122A	Computer Integrated Architecture/Engineering/Construction	2
-and-
CEE 112B	Industry Applications of Virtual Design & Construction	2
CEE 126	International Urbanization Seminar: Cross-Cultural Collaboration for Sustainable Urban Development	4-5
CEE 141A	Infrastructure Project Development	3
CEE 141B	Infrastructure Project Delivery	3
CEE 221A	Planning Tools and Methods in the Power Sector	3-4
CEE 226E	Advanced Topics in Integrated, Energy-Efficient Building Design	3
CEE 199	Undergraduate Research in Civil and Environmental Engineering	3-4

Freshwater Environments Focus Area (37 units)

Required
CEE 101B	Mechanics of Fluids ( or CEE 101N)	4
CEE 177	Aquatic Chemistry and Biology	4
CEE 166A	Watersheds and Wetlands	3
or
CEE 174A	Providing Safe Water for the Developing and Developed World	3
Electives
CEE 160	Mechanics of Fluids Laboratory	2
CEE 161A	Rivers, Streams, and Canals	3-4
CEE 165C	Water Resources Management	3
CEE 166A	Watersheds and Wetlands	3
(if not counted as req'd course)
CEE 166B	Floods and Droughts, Dams and Aqueducts	3
CEE 166D	Water Resources and Water Hazards Field Trips	2
CEE 171	Environmental Planning Methods	3
or
URBANST 163	Land Use Control	4
CEE 174A	Providing Safe Water for the Developing and Developed World	3
(if not counted as a req'd course)
CEE 174B	Wastewater Treatment: From Disposal to Resource Recovery	3
CEE 179A	Water Chemistry Laboratory	3
CEE 265A	Sustainable Water Resources Development	3
CEE 265D	Water and Sanitation in Developing Countries	3
BIOHOPK 150H	Ecological Mechanics	3
EARTHSYS 140	The Energy-Water Nexus	3
EARTHSYS 156	Soil and Water Chemistry	1-4
GS 130	Soil Physics and Hydrology	3
OSPAUSTL 25	Freshwater Systems	3
Capstone
CEE 126	International Urbanization Seminar: Cross-Cultural Collaboration for Sustainable Urban Development	4-5
CEE 141A	Infrastructure Project Development	3
CEE 169	Environmental and Water Resources Engineering Design	5
CEE 179C	Environmental Engineering Design	5
CEE 199	Undergraduate Research in Civil and Environmental Engineering	3-4

Coastal Environments Focus Area (36 units)

Required
CEE 101B	Mechanics of Fluids (or CEE 101N)	4
CEE 164	Introduction to Physical Oceanography	4
CEE 175A	California Coast: Science, Policy, and Law	3-4
Electives
CEE 160	Mechanics of Fluids Laboratory	2
CEE 166A	Watersheds and Wetlands	3
CEE 171	Environmental Planning Methods	3
or
URBANST 163	Land Use Control	4
CEE 174A	Providing Safe Water for the Developing and Developed World	3
CEE 174B	Wastewater Treatment: From Disposal to Resource Recovery	3
CEE 177	Aquatic Chemistry and Biology	4
CEE 272	Coastal Contaminants	3-4
BIO 30	Ecology for Everyone	4
or
BIO 43	Plant Biology, Evolution, and Ecology	5
or
BIOHOPK 172H	Marine Ecology: From Organisms to Ecosystems	5
or
EARTHSYS 116	Ecology of the Hawaiian Islands	4
or
OSPAUSTL 10	Coral Reef Ecosystems	3
or
OSPSANTG 85	Marine Ecology of Chile and the South Pacific	5
Earthsys 8 The Oceans: An Introduction to the Marine Environment (not offered AY 2015-16)		3
or
GES 8 Oceanography: An Introduction to the Marine Environment (not offered AY 2015-16)		3
or
BIOHOPK 182H	Stanford at Sea (Oceanography lectures portion only)	4
EARTHSYS 141	Remote Sensing of the Oceans	3-4
EARTHSYS 146B	Atmosphere, Ocean, and Climate Dynamics: the Ocean Circulation	3
EARTHSYS 151	Biological Oceanography	3-4
to be taken concurrently with
EARTHSYS 152	Marine Chemistry	3-4
EARTHSYS 156M	Marine Resource Economics and Conservation	5
Capstone (1 class req'd)
CEE 126	International Urbanization Seminar: Cross-Cultural Collaboration for Sustainable Urban Development	4-5
CEE 141A	Infrastructure Project Development	3
CEE 169	Environmental and Water Resources Engineering Design	5
CEE 179C	Environmental Engineering Design	5
CEE 199	Undergraduate Research in Civil and Environmental Engineering	3-4

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB).

Individually Designed Majors in Engineering (IDMENS)

Completion of the undergraduate program in Individually Designed Majors in Engineering (IDMEN) leads to the conferral of the Bachelor of Science in an Individually Designed Major: (approved title). The approved title of the IDMEN also appears on the transcript.

Mission of the Undergraduate Program in Individually Designed Majors in Engineering

The mission of the undergraduate program in Individually Designed Majors in Engineering (IDMEN) is to provide students with an understanding of engineering principles and the analytical and problem solving, design, and communication skills necessary to be successful in the field. The B.S. for IDMENs is intended for undergraduates interested in pursuing engineering programs that, by virtue of their focus and intellectual content, cannot be accommodated by existing departmental majors or the pre-approved School of Engineering majors. Core courses in the curriculum include engineering fundamentals, mathematics, technology in society, and the sciences. Students then take additional courses pertinent to their IDMEN major. The program prepares students for careers in government and the corporate sector, and for graduate study.

B.S. in Individually Designed Majors in Engineering

The B.S. degree for IDMENs is intended for undergraduates interested in pursuing engineering programs that, by virtue of their focus and intellectual content, cannot be accommodated by existing departmental majors or the pre-approved School of Engineering majors. IDMEN curricula are designed by students with the assistance of two faculty advisers of their choice and are submitted to the Undergraduate Council's Subcommittee on Individually Designed Majors. The degree conferred is "Bachelor of Science in Individually Designed Major in Engineering: (approved title)."

Students must submit written proposals to the IDMEN subcommittee detailing their course of study. Programs must meet the following requirements: mathematics (21 unit minimum, see Basic Requirement 1 below), science (17 units minimum, see Basic Requirement 2 below), Technology in Society (one approved course, see Basic Requirement 4 below), at least three Engineering Fundamentals courses, see Basic Requirement 4 for a list of courses, and a minimum of 31 units of engineering depth courses, including a capstone depth course with content relevant to proposed goals, and sufficient relevant additional course work to bring the total number of units to at least 90 and at most 107. Students may take additional courses pertinent to their IDMEN major, but the IDMEN proposal itself may not exceed 107 units. Students are responsible for completing the prerequisites for all courses included in their majors.

Each proposal should begin with a statement describing the proposed major. In the statement, the student should make clear the motivation for and goal of the major, and indicate how it relates to her or his projected career plans. The statement should specify how the courses to be taken relate to and move the student toward realizing the major's goal. A proposed title for the major should be included. The title approved by the IDMEN Subcommittee is listed on the student's official University transcript and on the diploma in this form: "Individually Designed Major in Subplan", where "Subplan" is the title approved by the IDMEN Subcommittee.

The proposal statement should be followed by a completed Program Sheet listing all the courses comprising the student's IDMEN curriculum, organized by the five categories printed on the sheet (mathematics, science, technology in society, engineering fundamentals, and engineering depth). Normally, the courses selected should comprise a well-coordinated sequence or sequences that provide mastery of important principles and techniques in a well-defined field. In some circumstances, especially if the proposal indicates that the goal of the major is to prepare the student for graduate work outside of engineering, a more general engineering program may be appropriate. A four-year study plan, showing courses to be taken each quarter, should also be included in the student's IDMEN proposal.

The proposal must be signed by two faculty members who certify that they endorse the major as described in the proposal and that they agree to serve as the student's permanent advisers. One of the faculty members, who must be a member of the School of Engineering and of the Academic Council, acts as the student's primary adviser. The proposal must be accompanied by a statement from that person giving an appraisal of the academic value and viability of the proposed major.

Students proposing IDMENs must have at least four quarters of undergraduate work remaining at Stanford after the quarter in which their proposals are first submitted. Any changes in a previously approved major must be endorsed by the advisers and re-approved by the IDMEN subcommittee. A request by a student to make changes in her or his approved curriculum must be made sufficiently far in advance so that, should the request be denied, adequate time remains to complete the original, approved curriculum. Proposals are reviewed and acted upon once a quarter. Planning forms may be obtained from the Handbook for Undergraduate Engineering Programs at http://ughb.stanford.edu. Completed proposals should be submitted to Darlene Lazar in the Office of Student Affairs, Huang Engineering Center, Suite 135. An IDMEN cannot be a student's secondary major.

Management Science and Engineering (MS&E)

Completion of the undergraduate program in Management Science and Engineering leads to the conferral of the Bachelor of Science in Management Science and Engineering.

Requirements

		Units
Mathematics and Science
All required; see SoE Basic Requirements 1 and 2 1
CME 100	Vector Calculus for Engineers	5
or MATH 51	Linear Algebra and Differential Calculus of Several Variables
CME 103	Introduction to Matrix Methods	5
MSE 120	Probabilistic Analysis	5
MSE 121	Introduction to Stochastic Modeling	4
MSE 125	Introduction to Applied Statistics	4
Select one of the following sequences:		8
CHEM 31B & CHEM 33	Chemical Principles II and Structure and Reactivity
CHEM 31X & CHEM 33	Chemical Principles Accelerated and Structure and Reactivity
PHYSICS 21 & PHYSICS 22 & PHYSICS 23 & PHYSICS 24	Mechanics, Fluids, and Heat and Mechanics, Fluids, and Heat Laboratory and Electricity, Magnetism, and Optics and Electricity, Magnetism, and Optics Laboratory
PHYSICS 41 & PHYSICS 43	Mechanics and Electricity and Magnetism
Electives from SoE approved list or AP/IB credit 1		13
Technology in Society
Select one of the following; see SoE Basic Requirement 4		3
COMM 120W	Digital Media in Society
COMM 169	Computers and Interfaces
CS 181	Computers, Ethics, and Public Policy
ENGR 129
ENGR 130	Science, Technology, and Contemporary Society
ENGR 131	Ethical Issues in Engineering
MSE 181	Issues in Technology and Work for a Postindustrial Economy
MSE 193	Technology and National Security (WIM)
MSE 197	Ethics, Technology, and Public Policy (WIM)
STS 1	The Public Life of Science and Technology
Engineering Fundamentals 2
Three courses; see SoE Basic Requirement 3
CS 106A	Programming Methodology 3	5
Select one of the following:		3
ENGR 25B	Biotechnology
or ENGR 25E	Energy: Chemical Transformations for Production, Storage, and Use
ENGR 40	Introductory Electronics
or ENGR 40A	Introductory Electronics
or ENGR 40M	An Intro to Making: What is EE
or ENGR 40P	Physics of Electrical Engineering
ENGR 80	Introduction to Bioengineering (Engineering Living Matter)
Select one of the following (or ENGR 25, ENGR 40, or ENGR 80 if not used above):		3
ENGR 10	Introduction to Engineering Analysis
ENGR 14	Intro to Solid Mechanics
ENGR 15	Dynamics
ENGR 20	Introduction to Chemical Engineering
ENGR 30	Engineering Thermodynamics
ENGR 50	Introduction to Materials Science, Nanotechnology Emphasis
or ENGR 50E	Introduction to Materials Science, Energy Emphasis
or ENGR 50M	Introduction to Materials Science, Biomaterials Emphasis
ENGR 60	Engineering Economy
ENGR 90	Environmental Science and Technology
Engineering Depth 2
Core Courses (all six required)		25
CS 103	Mathematical Foundations of Computing 4
or CS 106B	Programming Abstractions
or CS 106X	Programming Abstractions (Accelerated)
ECON 50	Economic Analysis I
MSE 108	Senior Project
MSE 111	Introduction to Optimization 4
MSE 140	Accounting for Managers and Entrepreneurs
or MSE 140X	Financial Accounting Concepts and Analysis
MSE 180	Organizations: Theory and Management
Area Courses (see below)		27
Choose four or five courses (minimum 15 units) from a primary area and two courses (minimum 6 units) from each of the other two areas.

Depth Areas

		Units
Finance and Decision Area		6-15
Students choosing F&D as their primary area must take at least two of ECON 51, MS&E 145, and MS&E 152
Introductory (appropriate for freshmen and sophomores)
MSE 152	Introduction to Decision Analysis (WIM)
Intermediate (appropriate for juniors and seniors)
MSE 145	Introductory Financial Analysis
MSE 146	Corporate Financial Management
MSE 245G	Finance for Non-MBAs
MSE 252	Decision Analysis I: Foundations of Decision Analysis
Advanced (intended primarily for graduate students)
MSE 245A	Investment Science
MSE 246	Financial Risk Analytics
MSE 250A	Engineering Risk Analysis
MSE 250B	Project Course in Engineering Risk Analysis
MSE 245B	Advanced Investment Science
Operations and Analytics Area		6-15
Students choosing O&A as their primary area may also include CS 161, CS 229, and STATS 202 in their selections 4
Introductory (no prerequisites)
MSE 107	Interactive Management Science
Methods
MSE 112	Mathematical Programming and Combinatorial Optimization
MSE 135	Networks
MSE 223	Simulation
MSE 226	"Small" Data
MSE 231	Introduction to Computational Social Science
MSE 251	Stochastic Control
Applications
MSE 130	Information Networks and Services
MSE 233	Networked Markets
MSE 235	Analytics in Action
MSE 260	Introduction to Operations Management
MSE 262	Supply Chain Management
MSE 263	Healthcare Operations Management
MSE 264	Sustainable Product Development and Manufacturing
MSE 268	Operations Strategy
Organizations, Technology, and Policy Area		6-15
Students choosing OT&P as their primary area must take at least two of ENGR 145, MS&E 175, MS&E 181, MS&E 185, PSYCH 70, and SOC 114 (but not both PSYCH 70 and SOC 114) 4
Introductory (no prerequisites)
ENGR 131	Ethical Issues in Engineering 4
MSE 178	The Spirit of Entrepreneurship
MSE 189	Social Networks - Theory, Methods, and Applications
MSE 190	Methods and Models for Policy and Strategy Analysis
MSE 193	Technology and National Security (WIM) 4
MSE 197	Ethics, Technology, and Public Policy (WIM) 4
Advanced (has prerequisites and/or appropriate for juniors and seniors)
ENGR 145	Technology Entrepreneurship
MSE 175	Innovation, Creativity, and Change
MSE 177	Creativity Rules
MSE 181	Issues in Technology and Work for a Postindustrial Economy 4
MSE 183	Leadership in Action
MSE 185	Global Work
MSE 243	Energy and Environmental Policy Analysis
MSE 292	Health Policy Modeling
MSE 294	Climate Policy Analysis
MSE 295	Energy Policy Analysis

1	Math and Science must total a minimum of 44 units. Electives must come from the School of Engineering approved list, or, PSYCH 50 Introduction to Cognitive Neuroscience, or PSYCH 70 Introduction to Social Psychology, and may not repeat material from any other requirement. AP/IB credit for Chemistry, Mathematics, and Physics may be used.
2	Engineering fundamentals plus engineering depth must total a minimum of 60 units.
3	Students may petition to place out of CS 106A Programming Methodology.
4	Courses used to satisfy the Math, Science, Technology in Society, or Engineering Fundamental requirement may not also be used to satisfy an engineering depth requirement.

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB).

Materials Science and Engineering (MATSCI)

Completion of the undergraduate program in Materials Science and Engineering leads to the conferral of the Bachelor of Science in Materials Science and Engineering.

Mission of the Undergraduate Program in Materials Science and Engineering

The mission of the undergraduate program in Materials Science and Engineering is to provide students with a strong foundation in materials science and engineering with emphasis on the fundamental scientific and engineering principles which underlie the knowledge and implementation of material structure, processing, properties, and performance of all classes of materials used in engineering systems. Courses in the program develop students' knowledge of modern materials science and engineering, teach them to apply this knowledge analytically to create effective and novel solutions to practical problems, and develop their communication skills and ability to work collaboratively. The program prepares students for careers in industry and for further study in graduate school.

The B.S. in Materials Science and Engineering provides training for the materials engineer and also preparatory training for graduate work in materials science. Capable undergraduates are encouraged to take at least one year of graduate study to extend their course work through the coterminal degree program which leads to an M.S. in Materials Science and Engineering. Coterminal degree programs are encouraged both for undergraduate majors in Materials Science and Engineering and for undergraduate majors in related disciplines.

Requirements

		Units
Mathematics
20 units minimum; see Basic Requirement 1 1
Select one of the following:		5
MATH 51	Linear Algebra and Differential Calculus of Several Variables
CME 100/ENGR 154	Vector Calculus for Engineers
Select one of the following:		5
MATH 52	Integral Calculus of Several Variables
CME 104/ENGR 155B	Linear Algebra and Partial Differential Equations for Engineers
Select one of the following:		5
MATH 53	Ordinary Differential Equations with Linear Algebra
CME 102/ENGR 155A	Ordinary Differential Equations for Engineers
One additional course		5
Science
20 units minimum; see Basic Requirement 2 2		20
Must include a full year of physics or chemistry, with one quarter of study in the other subject.
Technology in Society
One course; see Basic Requirement 3 3		3-5
Engineering Fundamentals
Three courses minimum; see Basic Requirement 4 4
Select one of the following:		4
ENGR 50	Introduction to Materials Science, Nanotechnology Emphasis 4
ENGR 50E	Introduction to Materials Science, Energy Emphasis 4
ENGR 50M	Introduction to Materials Science, Biomaterials Emphasis 4
At least two additional courses		6-9
Materials Science and Engineering Depth
Materials Science Fundamentals:
MATSCI 153	Nanostructure and Characterization	4
MATSCI 154	Thermodynamic Evaluation of Green Energy Technologies 5	4
MATSCI 155	Nanomaterials Synthesis	4
MATSCI 157	Quantum Mechanics of Nanoscale Materials	4
Two of the following courses:		8
MATSCI 151	Microstructure and Mechanical Properties
MATSCI 152	Electronic Materials Engineering
MATSCI 156	Solar Cells, Fuel Cells, and Batteries: Materials for the Energy Solution
MATSCI 190	Organic and Biological Materials
MATSCI 192	Materials Chemistry
MATSCI 193	Atomic Arrangements in Solids
MATSCI 194	Thermodynamics and Phase Equilibria
MATSCI 195	Waves and Diffraction in Solids
MATSCI 196	Defects in Crystalline Solids
MATSCI 197	Rate Processes in Materials
MATSCI 198	Mechanical Properties of Materials
MATSCI 199	Electronic and Optical Properties of Solids
Engineering Depth		16
One of the following courses:
MATSCI 161	Nanocharacterization Laboratory (WIM)
MATSCI 164	Electronic and Photonic Materials and Devices Laboratory (WIM)
Three of the following courses:
MATSCI 160	Nanomaterials Laboratory
MATSCI 162	X-Ray Diffraction Laboratory
MATSCI 163	Mechanical Behavior Laboratory
MATSCI 165	Nanoscale Materials Physics Computation Laboratory
Focus Area Options 6		10

1	Basic Requirement 1 (20 units minimum): see a list of approvedMath Courses.
2	Basic Requirement 2 (20 units minimum): see a list of approvedScience Courses.
3	Basic Requirement 3 (one course minimum): see a list of approvedTechnology in Society Courses.
4	Basic Requirement 4 (3 courses minimum): see a list of approvedEngineering FundamentalsCourses. If bothENGR 50 Introduction to Materials Science, Nanotechnology Emphasis,ENGR 50E Introduction to Materials Science - Energy Emphasis, and/orENGR 50M Introduction to Materials Science, Biomaterials Emphasisare taken, one may be used for the Materials Science Fundamentals requirement.
5	ENGR 30 Engineering Thermodynamicsmay be substituted forMATSCI 154 Thermodynamic Evaluation of Green Energy Technologiesas long as the total MATSCI program units total 50 or more.
6	Focus Area Options: 10 units from one of the following Focus Area Options below.

Focus Area Options

Bioengineering (10 units minimum)
BIOE 220	Introduction to Imaging and Image-based Human Anatomy
BIOE 281	Biomechanics of Movement
BIOE 284B	Cardiovascular Bioengineering
BIOE 333	Interfacial Phenomena and Bionanotechnology
BIOE 381	Orthopaedic Bioengineering
MATSCI 190	Organic and Biological Materials
MATSCI 380	Nano-Biotechnology
MATSCI 381	Biomaterials in Regenerative Medicine
MATSCI 382	Biochips and Medical Imaging
Chemical Engineering (10 units minimum)
CHEM 171	Physical Chemistry I
CHEMENG 130	Separation Processes
CHEMENG 140	Micro and Nanoscale Fabrication Engineering
CHEMENG 150	Biochemical Engineering
CHEMENG 160	Polymer Science and Engineering
Chemistry (10 units minimum)
CHEM 151	Inorganic Chemistry I
CHEM 153	Inorganic Chemistry II
CHEM 171	Physical Chemistry I
CHEM 173	Physical Chemistry II
CHEM 175	Physical Chemistry III
CHEM 181	Biochemistry I
CHEM 183	Biochemistry II
CHEM 185	Biophysical Chemistry
Electronics & Photonics (10 units minimum)
EE 101A	Circuits I
EE 101B	Circuits II
EE 102A	Signal Processing and Linear Systems I
EE 102B	Signal Processing and Linear Systems II
EE 116	Semiconductor Device Physics
EE 134	Introduction to Photonics
EE 136	Introduction to Nanophotonics and Nanostructures
EE 142	Engineering Electromagnetics (Formerly EE 141)
MATSCI 343	Organic Semiconductors for Electronics and Photonics
Energy Technology (10 units minimum)
EE 293B	Fundamentals of Energy Processes
MATSCI 156	Solar Cells, Fuel Cells, and Batteries: Materials for the Energy Solution
MATSCI 302	Solar Cells
MATSCI 303	Principles, Materials and Devices of Batteries
ME 260	Fuel Cell Science and Technology
Materials Characterization Techniques (10 units minimum)
MATSCI 320	Nanocharacterization of Materials
MATSCI 321	Transmission Electron Microscopy
MATSCI 322	Transmission Electron Microscopy Laboratory
MATSCI 323	Thin Film and Interface Microanalysis
MATSCI 326	X-Ray Science and Techniques
Mechanical Behavior & Design (10 units minimum)
AA 240A	Analysis of Structures
AA 240B	Analysis of Structures
AA 256	Mechanics of Composites
MATSCI 198	Mechanical Properties of Materials
MATSCI 358	Fracture and Fatigue of Materials and Thin Film Structures
ME 80	Mechanics of Materials
or CEE 101A	Mechanics of Materials
ME 203	Design and Manufacturing
ME 294
Nanoscience (10 units minimum)
BIOE 333	Interfacial Phenomena and Bionanotechnology
EE 136	Introduction to Nanophotonics and Nanostructures
ENGR 240	Introduction to Micro and Nano Electromechanical Systems
MATSCI 316	Nanoscale Science, Engineering, and Technology
MATSCI 320	Nanocharacterization of Materials
MATSCI 346	Nanophotonics
MATSCI 347	Introduction to Magnetism and Magnetic Nanostructures
MATSCI 380	Nano-Biotechnology
Physics (10 units minimum)
PHYSICS 70	Foundations of Modern Physics
PHYSICS 110	Advanced Mechanics
PHYSICS 120	Intermediate Electricity and Magnetism I
PHYSICS 121	Intermediate Electricity and Magnetism II
PHYSICS 130	Quantum Mechanics I
PHYSICS 131	Quantum Mechanics II
PHYSICS 134	Advanced Topics in Quantum Mechanics
PHYSICS 170	Thermodynamics, Kinetic Theory, and Statistical Mechanics I
PHYSICS 171	Thermodynamics, Kinetic Theory, and Statistical Mechanics II
PHYSICS 172	Solid State Physics
Self-Defined Option (10 units minimum)
Petition for a self-defined cohesive program.

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs.

Mechanical Engineering (ME)

Completion of the undergraduate program in Mechanical Engineering leads to the conferral of the Bachelor of Science in Mechanical Engineering.

Mission of the Undergraduate Program in Mechanical Engineering

The mission of the undergraduate program in Mechanical Engineering is to provide students with a balance of intellectual and practical experiences that enable them to address a variety of societal needs. The curriculum encompasses elements from a wide array of disciplines built around the themes of biomedicine, computational engineering, design, energy, and multiscale engineering. Course work may include mechatronics, computational simulation, solid and fluid dynamics, microelectromechanical systems, biomechanical engineering, energy science and technology, propulsion, sensing and control, nano- and micro- mechanics, and design. The program prepares students for entry-level work as mechanical engineers and for graduate studies in either an engineering discipline or another field where a broad engineering background is useful.

Requirements

Mathematics
24 units minimum; see Basic Requirement 1 1
CME 102/ENGR 155A	Ordinary Differential Equations for Engineers	5
or MATH 53	Ordinary Differential Equations with Linear Algebra
Select one of the following:		3-5
CME 106/ENGR 155C	Introduction to Probability and Statistics for Engineers
STATS 110	Statistical Methods in Engineering and the Physical Sciences
STATS 116	Theory of Probability
Plus additional courses to total min. 24		16
Science
20 units minimum; see Basic Requirement 2 1
CHEM 31X	Chemical Principles Accelerated	5
or ENGR 31
Plus addtional required courses 1		15
Technology in Society
One course from approved SoE list; see Basic Requirement 4		3-5
Engineering Fundamentals
Three courses minimum; see Basic Requirement 3 2
ENGR 40	Introductory Electronics	5
ENGR 70A	Programming Methodology (same as CS 106A)	5
Fundamentals Elective 2		3-5
Engineering Depth
Minimum of 68 Engineering Science and Design ABET units; see Basic Requirement 5
ENGR 14	Intro to Solid Mechanics	4
ENGR 15	Dynamics	4
ENGR 30	Engineering Thermodynamics	3
ME 70	Introductory Fluids Engineering	4
ME 80	Mechanics of Materials	4
ME 101	Visual Thinking	4
ME 103D	Engineering Drawing and Design 3	1
ME 112	Mechanical Systems Design 4	4
ME 113	Mechanical Engineering Design	4
ME 131A	Heat Transfer	3-5
ME 131B	Fluid Mechanics: Compressible Flow and Turbomachinery	4
ME 140	Advanced Thermal Systems 4	5
ME 161	Dynamic Systems, Vibrations and Control	4
ME 203	Design and Manufacturing 3	4

1	Math and science must total 45 units. Math: 24 units required and must include a course in differential equations (CME 102 Ordinary Differential Equations for Engineers or MATH 53 Ordinary Differential Equations with Linear Algebra; one of these required) and calculus-based Statistics (CME 106 Introduction to Probability and Statistics for Engineers or STATS 110 Statistical Methods in Engineering and the Physical Sciences or STATS 116 is required. Science: 20 units minimum and requires courses in calculus-based Physics and Chemistry, with at least a full year (3 courses) in one or the other. CHEM 31A Chemical Principles I/CHEM 31B Chemical Principles II are considered one course because they cover the same material as CHEM 31X Chemical Principles Accelerated but at a slower pace. CHEM 31X Chemical Principles Accelerated or ENGR 31 are recommended.
2	ME Fundamental elective may not be a course counted for other requirements. Students may opt to use ENGR 14 Intro to Solid Mechanics, ENGR 15 Dynamics, or ENGR 30 Engineering Thermodynamics from the required depth courses as the third fundamental class. However, total units for Engineering Topics (Fundamentals + Depth) must be a minimum of 68 units; additional options courses may be required to meet unit requirements. ENGR 70A (CS 106A) must be taken for 5 units.
3	Courses ME 103D and ME 203 must be taken concurrently .
4	ME 112, ME 131A and ME 140 together fulfill the WIM requirement.

Options to complete the ME depth sequence: see the list of options in the ME major section of the Handbook for Undergraduate Engineering Programs.

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB).

Product Design (PD)

Completion of the undergraduate program in Product Design leads to the conferral of the Bachelor of Science in Engineering. The subplan "Product Design" appears on the transcript and on the diploma.

Mission of the Undergraduate Program in Product Design

The mission of the undergraduate program in Product Design is to graduate designers who can synthesize technology, human factors, and business factors in the service of human need. The program teaches a design process that encourages creativity, craftsmanship, aesthetics, and personal expression, and emphasizes brainstorming and need finding. The course work provides students with the skills necessary to carry projects from initial concept to completion of working prototypes. Students studying product design follow the basic mechanical engineering curriculum and are expected to meet the University requirements for a Bachelor of Science degree. The program prepares students for careers in industry and for graduate study.

Conferral of the undergraduate program in Product Design leads to the conferral of the Bachelor of Science in Engineering. The subplan "Product Design" appears on the transcript and on the diploma.

Requirements

		Units
Mathematics and Science		43 minimum
Mathematics		20
20 units minimum
Recommended: one course in Statistics
Science		23 units minumum
23 units minimum: 8 units of social science (inc PSYCH 1) and 15 units must be from School of Engineering approved list 1
PHYSICS 41	Mechanics	4
PHYSICS 43	Electricity and Magnetism	4
PHYSICS 45	Light and Heat	4
PSYCH 1	Introduction to Psychology	5
PSYCH elective from courses numbered 30-200 1		3-5
Technology in Society
Choose one from SoE Approved TiS Courses list at <ughb.stanford.edu>.
Engineering Fundamentals		11 units minimum
ENGR 40	Introductory Electronics	3-5
or ENGR 40A	Introductory Electronics
or ENGR 40M	An Intro to Making: What is EE
ENGR 70A	Programming Methodology	5
Fundamentals Elective 2		3-4
Product Design Engineering Depth		55 units minimum
Three Art Studio courses numbered 100 or higher		12
ENGR 14	Intro to Solid Mechanics 3	4
ME 80	Mechanics of Materials	4
ME 101	Visual Thinking 3	4
ME 103D	Engineering Drawing and Design 4	1
ME 110	Design Sketching	2
ME 112	Mechanical Systems Design 5	4
ME 115A	Introduction to Human Values in Design	3
ME 115B	Product Design Methods	3
ME 115C	Design and Business Factors 6	3
ME 203	Design and Manufacturing 4	4
ME 216A	Advanced Product Design: Needfinding	4
ME 216B	Advanced Product Design: Implementation 1	4
ME 216C	Advanced Product Design: Implementation 2	4

1	School of Engineering approved science list available at http://ughb.stanford.edu. If the Psychology elective was taken prior to the requirement being increased to 3 units minimum in 2012-13, student will be short 1 unit in Science/Behavioral Science; this is approved without petition.
2	Select one of the following: ENGR 10, ENGR 15, ENGR 20, ENGR 25B or ENGR 25E, ENGR 30, ENGR 50 or ENGR 50E or ENGR 50M, ENGR 60, ENGR 62, ENGR 90. Note that CS 106B or CS 106X are not allowed to fulfill elective.
3	If ENGR 14 and/or ME 110 were taken prior to the courses being offered for 4 units, depth total may be reduced by 1-2 units with no petition required.
4	ME 103D and ME 203 should be taken concurrently.
5	ME 112 meets the Writing in the Major (WIM) requirement for Product Design.
6	ME 115C is the only course that can be waived if student takes a quarter overseas. Students should plan their overseas quarter to take place in Sophomore year, or Spring Quarter of the junior year only. Total depth units are reduced by 3; this is approved without petition.

For additional information and sample programs see the Handbook for Undergraduate Engineering Programs (UGHB).