• ME students may now take any approved course on this list to satisfy the TiS requirement.
  
• ME 120 is no longer a TiS course for any SoE major program (not allowed since 2013-14).
• PUBLPOL 122 is allowed to fulfill the TiS requirement if and only if taken prior to Autumn 2015 and if Professor McGinn (email at mcginn@stanford.edu) approved the paper topic and final draft.

MATHEMATICS COURSES

As a general rule, students interested in an engineering major should take a sequence of mathematics courses in their first year. Choosing which sequence to take, however, requires careful thought and the assistance of your advisor. Stanford offers several different entry points and options:

• MATH 41 and 42 present single variable calculus, with an emphasis on differential calculus in the first quarter and integral calculus in the second.
• MATH 19, 20, and 21 cover the same material as MATH 41 and 42, but do so in three quarters instead of two.
• CME 100, 102, and 104 or 106 (same as ENGR 154, 155A, 155B, and 155C) are taken by students who enter Stanford with 10 units of AP credit, or who have completed either MATH 42 or MATH 21. The CME courses were developed for undergraduates interested in engineering, and are recommended by almost all engineering departments. CME 100 presents multivariable calculus with engineering applications, and introduces MATLAB, which is incorporated throughout the CME series and will be useful in many later engineering and science courses. CME 102 covers ordinary differential equations, CME 104 covers linear algebra and partial differential equations, and CME 106 covers probability and statistics for engineering – all with an emphasis on engineering examples and topics. CME 102 may be taken before or after CME 100, while CME 106 requires either CME 100 or Math 51 as a prerequisite. CME 104 requires CME 102 as a prerequisite.
• MATH 51, 52, and 53* may be taken by students who enter Stanford with 10 units of AP credit, or who have completed either MATH 42 or MATH 21. The 50 series covers similar material, but in a different order than in the CME series and without a focus on engineering examples and topics. These courses are taught in an integrated fashion, with differential calculus of several variables and linear algebra being taught in MATH 51, integral calculus with linear algebra in MATH 52, and differential equations, including matrix methods for solving systems, in MATH 53. Math 51 and 52 can be replaced by CME100, although students who take both MATH 51 and CME 100 will receive only 7-8 units of credit due to duplication of material. Students who are unsure of their mathematics preparation should consult with an advisor in the mathematics department or with the Office of Student Affairs in 135 Huang to determine math placement and what requirements can be waived.
* Note: These courses do not include MATLAB. To get MATLAB experience with the MATH 50 series take 1-unit courses MATH 51M (autumn quarter only) or CME 192 (4-week course offered A, W, S).

PHYSICS COURSES

The decision of whether to take a physics course in your first year is not nearly as simple as your decision about mathematics. Given the fact that you will also be taking required courses in writing and the humanities, taking both mathematics and physics in your first year pretty much fills your schedule, leaving little room for seminars or other courses that may spark new interests. Furthermore, although all engineering majors require physics, it is often unnecessary to take physics so early in your undergraduate program. For students interested in engineering majors that depend heavily on physics, such as Engineering Physics, some aspects of Materials Science and Engineering, Mechanical Engineering, and Electrical Engineering, taking physics in your first year makes a great deal of sense because physics is a prerequisite for many of the advanced courses. For most other engineering majors, however, it probably makes sense to delay physics until your sophomore year, giving you more flexibility in your course schedule.

As with mathematics, there are several possible sequences that are appropriate for first-year students:

• PHYSICS 41, 43, and 45 constitute the standard introductory sequence in physics and cover mechanics, electricity and magnetism, and light and heat, respectively. These courses are calculus-based and are generally far more intensive than typical high-school offerings, even at the advanced placement level. Even students who have taken AP Physics—and therefore do not in fact need the credits for these courses—find them challenging. Because the Stanford courses cover so much more material and do so with greater depth and rigor, it often makes sense to give up the Advanced Placement credits and take these courses. Talk with your advisor for guidance in this area. Note that PHYSICS 41 has prerequisites of high school physics or PHYSICS 19, and MATH 41 or 20 or 51 or CME 100 or equivalent. Minimum corequisite: MATH 42 or 21 or 51 or CME 100. See Figure 3-2, Courses Approved for the Science Requirement, in Chapter 3 for detail on all the physics courses.
• PHYSICS 61, 63, and 65 offer a more advanced sequence designed for students who have mastered physics and calculus at the level of AP Physics C and AP Calculus B/C in high school. This series is a good choice for prospective Engineering Physics or Physics majors and those interested in a more rigorous introduction to the field.
• PHYSICS 21, 23, and 25 provide a lower-level introduction to basic physics primarily intended for premedical students. Most departments in the School of Engineering do not accept these courses and require students to take the 40 series or a more advanced offering. However, if you are intending to major in a discipline that allows students to take these courses, such as Computer Science or many of the degree options in Management Science and Engineering, these courses may represent an attractive option.

CHEMISTRY COURSES

For some engineering majors, such as Chemical Engineering and the School of Engineering majors associated with biology or medicine, taking a chemistry course in your first year is far more important than taking physics, largely because Stanford requires students to take a year of introductory chemistry before enrolling in biology. In order to get any advanced biology courses into a four-year degree, it is critical to begin the chemistry sequence early.

The two-quarter sequence Chemistry 31A and 31B is offered in the autumn and winter quarters respectively, and the one-quarter accelerated course, Chemistry 31X, is offered in the autumn quarter only. Additionally, students with a score of 5 on the Chemistry Advanced Placement Exam may continue to start in Chemistry 33, which is offered winter and spring quarters, but see the last paragraph in this section, below, about consequences for those preparing to apply to medical school.

Chemistry 31A and Chemistry 31B cover all the essential topics in general chemistry that are required to prepare students for the subsequent courses in the curriculum. Only the more advanced portions of these same topics are covered in Chemistry 31X. Both tracks use the same textbook and will arrive at the same endpoint. Thus, Chemistry 31X is an accelerated course for students with a strong background in high school chemistry. Chemistry 31A and 31B is for students with moderate or no background in high school chemistry. Chemistry 31A is a prerequisite for taking Chemistry 31B. Students must decide before autumn quarter whether or not they will take the two-quarter track because it will not be offered again until the following year.

ABET Unit Count for Use in Program Sheets from 2010-11 and Before (CHE, CE, EE, ENV, ME only)

Find below Engineering Science, Design, and Experimentation unit allocation for ENGR courses. For ABET values of departmental courses for the accredited majors (Chemical, Civil, Electrical, Environmental, and Mechanical Engineering), see individual sections within Chapter 5 of the Handbook.

Energy: Chemical Transformation for Production,

Storage, and Use (same as CHEMENG 25E) (W)