MATH 16: Mathematics and Statistics in the Real World (STATS 90)
Introduction to non-calculus applications of mathematical ideas and principles in real-world problems. Topics include probability and counting, basic statistical concepts, geometric series. Applications include insurance, gambler's ruin, false positives in disease testing, present value of money, and mortgages. No knowledge of calculus required. Enrollment limited to students who do not have Stanford credit for a high school or college course in calculus or statistics.
Terms: not given this year
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Units: 3
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UG Reqs: GER:DB-Math
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Grading: Letter or Credit/No Credit
MATH 19: Calculus
Introduction to differential calculus of functions of one variable. Topics: review of elementary functions including exponentials and logarithms, limits, rates of change, the derivative, and applications.
Math 19, 20, and 21 cover the same material as
Math 41 and 42, but in three quarters rather than two. Prerequisites: precalculus, including trigonometry, advanced algebra, and analysis of elementary functions.
Terms: Aut, Win, Sum
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Units: 3
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UG Reqs: GER:DB-Math, WAY-FR
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Grading: Letter or Credit/No Credit
Instructors:
Berwick-Evans, D. (PI)
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Campisi, M. (PI)
;
Nestoridi, E. (PI)
;
Nguyen, K. (PI)
...
more instructors for MATH 19 »
Instructors:
Berwick-Evans, D. (PI)
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Campisi, M. (PI)
;
Nestoridi, E. (PI)
;
Nguyen, K. (PI)
;
Vincent, C. (PI)
MATH 20: Calculus
Continuation of 19. Applications of differential calculus; introduction to integral calculus of functions of one variable, including: the definite integral, methods of symbolic and numerical integration, applications of the definite integral. Prerequisites: 19 or equivalent.
Terms: Win, Spr
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Units: 3
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UG Reqs: GER:DB-Math, WAY-FR
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Grading: Letter or Credit/No Credit
MATH 21: Calculus
Continuation of 20. Applications of integral calculus, introduction to differential equations, infinite series. Prerequisite: 20 or equivalent.
Terms: Spr
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Units: 4
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UG Reqs: GER:DB-Math, WAY-FR
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Grading: Letter or Credit/No Credit
Instructors:
Campisi, M. (PI)
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Vincent, C. (PI)
;
Jerison, D. (TA)
;
Kalisnik, S. (TA)
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more instructors for MATH 21 »
Instructors:
Campisi, M. (PI)
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Vincent, C. (PI)
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Jerison, D. (TA)
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Kalisnik, S. (TA)
;
Shao, F. (TA)
;
White, G. (TA)
MATH 41: Calculus (accelerated)
Introduction to differential and integral calculus of functions of one variable. Topics: limits, rates of change, the derivative and applications, introduction to the definite integral and integration.
Math 41 and 42 cover the same material as
Math 19-20-21, but in two quarters rather than three. Prerequisites: trigonometry, advanced algebra, and analysis of elementary functions, including exponentials and logarithms.
Terms: Aut
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Units: 5
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UG Reqs: GER:DB-Math, WAY-FR
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Grading: Letter or Credit/No Credit
MATH 41A: Calculus ACE
Students attend
MATH 41 lectures with different recitation sessions, four hours instead of two, emphasizing engineering applications. Prerequisite: application; see
http://soe.stanford.edu/edp/programs/ace.html.
Terms: Aut
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Units: 6
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UG Reqs: GER:DB-Math
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Grading: Letter (ABCD/NP)
Instructors:
Lucianovic, M. (PI)
;
Pang, A. (TA)
MATH 42: Calculus (Accelerated)
Continuation of 41. Methods of symbolic and numerical integration, applications of the definite integral, introduction to differential equations, infinite series. Prerequisite: 41 or equivalent.
Terms: Aut, Win
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Units: 5
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UG Reqs: GER:DB-Math, WAY-FR
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Grading: Letter or Credit/No Credit
Instructors:
Berwick-Evans, D. (PI)
;
Li, Z. (PI)
;
Lucianovic, M. (PI)
;
Ha, J. (TA)
...
more instructors for MATH 42 »
Instructors:
Berwick-Evans, D. (PI)
;
Li, Z. (PI)
;
Lucianovic, M. (PI)
;
Ha, J. (TA)
;
Ronchetti, N. (TA)
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Shabani, B. (TA)
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Shao, F. (TA)
;
Tsai, L. (TA)
MATH 42A: Calculus ACE
Students attend
MATH 42 lectures with different recitation sessions, four hours instead of two, emphasizing engineering applications. Prerequisite: application; see
http://soe.stanford.edu/edp/programs/ace.html.
Terms: Aut, Win
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Units: 6
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UG Reqs: GER:DB-Math
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Grading: Letter (ABCD/NP)
MATH 51: Linear Algebra and Differential Calculus of Several Variables
Geometry and algebra of vectors, systems of linear equations, matrices and linear transformations, diagonalization and eigenvectors, vector valued functions and functions of several variables, parametric curves, partial derivatives and gradients, the derivative as a matrix, chain rule in several variables, constrained and unconstrained optimization. Prerequisite: 21, or 42, or a score of 4 on the BC Advanced Placement exam or 5 on the AB Advanced Placement exam, or consent of instructor.
Terms: Aut, Win, Spr, Sum
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Units: 5
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UG Reqs: GER:DB-Math, WAY-FR
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Grading: Letter or Credit/No Credit
Instructors:
Goodman, E. (PI)
;
Hasson, H. (PI)
;
Hicks, A. (PI)
;
Ionel, E. (PI)
...
more instructors for MATH 51 »
Instructors:
Goodman, E. (PI)
;
Hasson, H. (PI)
;
Hicks, A. (PI)
;
Ionel, E. (PI)
;
Lucianovic, M. (PI)
;
Maximo, D. (PI)
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Moore, K. (PI)
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Wang, Y. (PI)
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Wieczorek, W. (PI)
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Yang, T. (PI)
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Yun, Z. (PI)
;
Zheng, T. (PI)
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Bernstein, M. (TA)
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Booher, J. (TA)
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Boreico, I. (TA)
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Cheng, D. (TA)
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Dozier, B. (TA)
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Furmaniak, R. (TA)
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Gao, J. (TA)
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Hintz, P. (TA)
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Katsnelson, V. (TA)
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Kim, S. (TA)
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Kupers, S. (TA)
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Litt, D. (TA)
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Makisumi, S. (TA)
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Mantoulidis, C. (TA)
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Nestoridi, E. (TA)
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Nguyen, K. (TA)
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Nolen, S. (TA)
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Ren, W. (TA)
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Savvas, M. (TA)
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Siegel, K. (TA)
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Skryzalin, J. (TA)
;
Tripathy, A. (TA)
MATH 51A: Linear Algebra and Differential Calculus of Several Variables, ACE
Students attend
MATH 51 lectures with different recitation sessions: four hours per week instead of two, emphasizing engineering applications. Prerequisite: application; see
http://soe.stanford.edu/edp/programs/ace.html.
Terms: Aut, Win, Spr
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Units: 6
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UG Reqs: GER:DB-Math
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Grading: Letter (ABCD/NP)
Instructors:
Hasson, H. (PI)
;
Lucianovic, M. (PI)
;
Wieczorek, W. (PI)
;
Goodman, E. (TA)
...
more instructors for MATH 51A »
Instructors:
Hasson, H. (PI)
;
Lucianovic, M. (PI)
;
Wieczorek, W. (PI)
;
Goodman, E. (TA)
;
Jerison, D. (TA)
;
Leach, J. (TA)
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