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:DB-Math, WAY-FR
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:DB-Math, WAY-FR
Instructors:
Gao, J. (PI)
;
Kimport, S. (PI)
;
Lin, Y. (PI)
;
Masullo, A. (PI)
;
Ren, W. (PI)
;
Schaeffer, G. (PI)
;
Warner, E. (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:
Basu, R. (PI)
;
Bates, E. (PI)
;
Bond, B. (PI)
;
Booher, J. (PI)
;
Boreico, I. (PI)
;
Brady, Z. (PI)
;
Feng, T. (PI)
;
Ganatra, S. (PI)
;
Hasson, H. (PI)
;
Kerckhoff, S. (PI)
;
Klang, I. (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)
;
Rosengarten, Z. (PI)
;
Sauermann, L. (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)
;
Buciumas, V. (TA)
;
Rosengarten, Z. (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
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:DB-Math, WAY-FR
Instructors:
Dembo, A. (PI)
;
Edelen, N. (PI)
;
Jafarov, J. (PI)
;
Li, J. (PI)
;
Wieczorek, W. (PI)
;
Zhang, S. (PI)
;
Madnick, J. (TA)
;
Wang, G. (TA)
;
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 second-order equations to oscillations, matrix exponentials, Laplace transforms, stability of non-linear systems and phase plane analysis, numerical methods. Prerequisite: 51 and 42 or equivalents.
Terms: Aut, Win, Spr
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
Instructors:
Cheng, D. (PI)
;
Dozier, B. (PI)
;
Mantoulidis, C. (PI)
...
more instructors for MATH 53 »
Instructors:
Cheng, D. (PI)
;
Dozier, B. (PI)
;
Mantoulidis, C. (PI)
;
Poulson, J. (PI)
;
Savvas, M. (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: WAY-FR, GER:DB-Math
Instructors:
Eliashberg, Y. (PI)
;
Lazarev, O. (TA)
MATH 78: Mathematics for Machine Learning
To make smart decisions efficiently without human intervention, a body of mathematical techniques originally developed within statistics has grown into the subject now called machine learning. This course explores some of these mathematical ideas, illustrating how they work in the context of real-world problems, leading to important notions such as binary classifiers and ultimately providing insight into a wide array of applications involving optimization, pattern recognition, and so on.
Terms: Spr
| Units: 3
| UG Reqs: GER:DB-Math
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, least-squares, 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:DB-Math
Instructors:
Hicks, A. (PI)
;
Greverath, D. (TA)
;
Li, C. (TA)
;
Masullo, A. (TA)
;
Silliman, J. (TA)
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, matrix-tree theorem, conditions for hamiltonicity, Kuratowski's theorem, Ramsey and Turan-type theorem. Prerequisites: 51 or equivalent and some familiarity with proofs is required.
Terms: Spr
| Units: 3
Instructors:
Fox, J. (PI)
;
Wei, F. (TA)
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