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: Aut, Win, Spr

Units: 3

UG Reqs: GER:DBMath, WAYFR

Grading: Letter or Credit/No Credit
Instructors:
Borman, M. (PI)
;
Kimport, S. (PI)
;
Schaeffer, G. (PI)
;
Feng, T. (TA)
...
more instructors for MATH 20 »
Instructors:
Borman, M. (PI)
;
Kimport, S. (PI)
;
Schaeffer, G. (PI)
;
Feng, T. (TA)
;
Florea, A. (TA)
;
Greer, F. (TA)
;
Helfer, J. (TA)
;
Ljungberg, B. (TA)
;
Makisumi, S. (TA)
;
Zamorzaev, A. (TA)
MATH 21: Calculus
Continuation of 20. Applications of integral calculus, introduction to differential equations, infinite series. Prerequisite: 20 or equivalent.
Terms: Win, Spr

Units: 4

UG Reqs: GER:DBMath, WAYFR

Grading: Letter or Credit/No Credit
Instructors:
Kimport, S. (PI)
;
Lin, Y. (PI)
;
Ren, W. (PI)
;
Schaeffer, G. (PI)
...
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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:DBMath, WAYFR

Grading: Letter or Credit/No Credit
Instructors:
Basu, R. (PI)
;
Booher, J. (PI)
;
Boreico, I. (PI)
;
Brady, Z. (PI)
...
more instructors for MATH 51 »
Instructors:
Basu, R. (PI)
;
Booher, J. (PI)
;
Boreico, I. (PI)
;
Brady, Z. (PI)
;
Feng, T. (PI)
;
Hasson, H. (PI)
;
Kerckhoff, S. (PI)
;
Lawrence, B. (PI)
;
Li, C. (PI)
;
Lin, Y. (PI)
;
Lucianovic, M. (PI)
;
Madnick, J. (PI)
;
Makisumi, S. (PI)
;
Pardon, J. (PI)
;
Ronchetti, N. (PI)
;
Stanton, C. (PI)
;
Sun, Q. (PI)
;
Szucs, G. (PI)
;
Tripathy, A. (PI)
;
Venkatesh, A. (PI)
;
Wilson, J. (PI)
;
Zhai, L. (PI)
;
Zhou, Y. (PI)
;
Zhu, B. (PI)
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:DBMath

Grading: Letter (ABCD/NP)
MATH 52: Integral Calculus of Several Variables
Iterated integrals, line and surface integrals, vector analysis with applications to vector potentials and conservative vector fields, physical interpretations. Divergence theorem and the theorems of Green, Gauss, and Stokes. Prerequisite: 51 and 42 or equivalents.
Terms: Aut, Win, Spr

Units: 5

UG Reqs: GER:DBMath, WAYFR

Grading: Letter or Credit/No Credit
Instructors:
Dembo, A. (PI)
;
Edelen, N. (PI)
;
Jafarov, J. (PI)
;
Li, J. (PI)
...
more instructors for MATH 52 »
Instructors:
Dembo, A. (PI)
;
Edelen, N. (PI)
;
Jafarov, J. (PI)
;
Li, J. (PI)
;
Wieczorek, W. (PI)
;
Zhang, S. (PI)
;
Zamorzaev, A. (TA)
MATH 53: Ordinary Differential Equations with Linear Algebra
Ordinary differential equations and initial value problems, systems of linear differential equations with constant coefficients, applications of secondorder equations to oscillations, matrix exponentials, Laplace transforms, stability of nonlinear systems and phase plane analysis, numerical methods. Prerequisite: 51 and 42 or equivalents.
Terms: Aut, Win, Spr

Units: 5

UG Reqs: GER:DBMath, WAYFR

Grading: Letter or Credit/No Credit
Instructors:
Cheng, D. (PI)
;
Mantoulidis, C. (PI)
;
Poulson, J. (PI)
;
Wieczorek, W. (PI)
...
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Instructors:
Cheng, D. (PI)
;
Mantoulidis, C. (PI)
;
Poulson, J. (PI)
;
Wieczorek, W. (PI)
;
Ying, L. (PI)
;
Greer, F. (TA)
;
Pan, D. (TA)
MATH 53H: Honors Multivariable Mathematics
Continuation of 52H. Prerequisite: 52H.
Terms: Spr

Units: 5

UG Reqs: GER:DBMath, WAYFR

Grading: Letter (ABCD/NP)
Instructors:
Eliashberg, Y. (PI)
MATH 104: Applied Matrix Theory
Linear algebra for applications in science and engineering: orthogonality, projections, the four fundamental subspaces of a matrix, spectral theory for symmetric matrices, the singular value decomposition, the QR decomposition, leastsquares, the condition number of a matrix, algorithms for solving linear systems. (
Math 113 offers a more theoretical treatment.) Prerequisites:
MATH 51 and
MATH 52 or 53.
Terms: Win, Spr

Units: 3

UG Reqs: GER:DBMath

Grading: Letter or Credit/No Credit
MATH 107: Graph Theory
An introductory course in graph theory establishing fundamental concepts and results in variety of topics. Topics include: basic notions, connectivity, cycles, matchings, planar graphs, graph coloring, matrixtree theorem, conditions for hamiltonicity, Kuratowski's theorem, Ramsey and Turantype theorem. Prerequisites: 51 or equivalent and some familiarity with proofs is required.
Terms: Spr

Units: 3

Grading: Letter or Credit/No Credit
Instructors:
Fox, J. (PI)
MATH 113: Linear Algebra and Matrix Theory
Algebraic properties of matrices and their interpretation in geometric terms. The relationship between the algebraic and geometric points of view and matters fundamental to the study and solution of linear equations. Topics: linear equations, vector spaces, linear dependence, bases and coordinate systems; linear transformations and matrices; similarity; eigenvectors and eigenvalues; diagonalization. (
Math 104 offers a more applicationoriented treatment.)
Terms: Aut, Win, Spr

Units: 3

UG Reqs: GER:DBMath, WAYFR

Grading: Letter or Credit/No Credit
Instructors:
Chatterjee, S. (PI)
;
Church, T. (PI)
;
Kerckhoff, S. (PI)
;
Sun, Q. (TA)
...
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Instructors:
Chatterjee, S. (PI)
;
Church, T. (PI)
;
Kerckhoff, S. (PI)
;
Sun, Q. (TA)
;
Wang, G. (TA)
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