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
| Units: 3
| UG Reqs: GER:DB-Math, WAY-FR
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
| Units: 3
| UG Reqs: GER:DB-Math, WAY-FR
Instructors:
Bahuaud, E. (PI)
;
Zuniga, J. (PI)
MATH 21: Calculus
Continuation of 20. Applications of integral calculus, introduction to differential equations, infinite series. Prerequisite: 20 or equivalent.
Terms: Spr
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
Instructors:
Bahuaud, E. (PI)
;
Hall, J. (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
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
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
| Units: 6
| UG Reqs: GER:DB-Math, WAY-FR
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
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
MATH 42A: 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, Win
| Units: 6
| UG Reqs: GER:DB-Math, WAY-FR
MATH 50V: Multivariable Differential Calculus
Differential calculus for functions of two or more variables. Topics: vectors and vector-valued functions in 2-space and 3-space, tangent and normal vectors, curvature, functions of two or more variables, partial derivatives and differentiability, directional derivatives and gradients, maxima and minima, and optimization using Lagrange multipliers. Prerequisites: two quarters of single variable calculus, or consent of instructor.
Terms: Sum
| Units: 4
| UG Reqs: GER:DB-Math
Instructors:
Sanders, M. (PI)
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
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
Instructors:
Andrade, R. (PI)
;
Baran, B. (PI)
;
Camilier, I. (PI)
...
more instructors for MATH 51 »
Instructors:
Andrade, R. (PI)
;
Baran, B. (PI)
;
Camilier, I. (PI)
;
Campbell, J. (PI)
;
Cowan, C. (PI)
;
Furmaniak, R. (PI)
;
Hohloch, S. (PI)
;
Licata, J. (PI)
;
Lucianovic, M. (PI)
;
McNamara, P. (PI)
;
Murphy, E. (PI)
;
Peng, M. (PI)
;
Pham, H. (PI)
;
Rhoades, R. (PI)
;
Subotic, A. (PI)
;
Van Horn-Morris, J. (PI)
;
Fadnavis, S. (SI)
;
Adams, H. (TA)
;
Bellovin, R. (TA)
;
Campbell, J. (TA)
;
Cheng, M. (TA)
;
Fadnavis, S. (TA)
;
Fong, T. (TA)
;
Furmaniak, R. (TA)
;
Haber, N. (TA)
;
Levin, B. (TA)
;
Lin, Y. (TA)
;
Miller, J. (TA)
;
Murphy, E. (TA)
;
Pang, A. (TA)
;
Perea, J. (TA)
;
Pham, H. (TA)
;
Rubinstein-Salzedo, S. (TA)
;
Shao, F. (TA)
;
Zhao, J. (TA)
;
Zhou, X. (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
| Units: 6
| UG Reqs: GER:DB-Math, WAY-FR
Instructors:
Lucianovic, M. (PI)
;
McNamara, P. (PI)
;
Rhoades, R. (PI)
...
more instructors for MATH 51A »
Instructors:
Lucianovic, M. (PI)
;
McNamara, P. (PI)
;
Rhoades, R. (PI)
;
Danciger, J. (TA)
;
Gell-Redman, J. (TA)
;
Vacarescu, A. (TA)
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