## MATH 51M: Introduction to MATLAB for Multivariable Mathematics

This class complements MATH51 by exploring computational aspects of linear algebra and multivariable differential calculus using MATLAB. There are three goals for this course. First, this course provides a gentle introduction to MATLAB and scientific programming. Second, this course explains how to use MATLAB to solve problems in linear algebra and multivariable differential calculus encountered in
MATH51. Finally, this course explains how certain key algorithms from MATH51 are implemented quickly and efficiently by commonly used scientific computing packages. Each class consists of a short lecture followed by an in-class on-laptop activity.

Terms: Aut
| Units: 1

Instructors:
Skryzalin, J. (PI)

## 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 52H: Honors Multivariable Mathematics

Continuation of 51H. Prerequisite: 51H.

Terms: Win
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR

Instructors:
De Groote, C. (PI)
;
Eliashberg, Y. (PI)

## 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: GER:DB-Math, WAY-FR

Instructors:
Eliashberg, Y. (PI)
;
Lazarev, O. (TA)

## MATH 70SI: The Game of Go: Strategy, Theory, and History

Strategy and mathematical theories of the game of Go, with guest appearance by a professional Go player.

Last offered: Autumn 2014

## 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 80Q: Capillary Surfaces: Explored and Unexplored Territory

Preference to sophomores. Capillary surfaces: the interfaces between fluids that are adjacent to each other and do not mix. Recently discovered phenomena, predicted mathematically and subsequently confirmed by experiments, some done in space shuttles. Interested students may participate in ongoing investigations with affinity between mathematics and physics.

Terms: Win
| Units: 3
| UG Reqs: WAY-FR, WAY-SMA

Instructors:
Finn, R. (PI)

## MATH 87Q: Mathematics of Knots, Braids, Links, and Tangles

Preference to sophomores. Types of knots and how knots can be distinguished from one another by means of numerical or polynomial invariants. The geometry and algebra of braids, including their relationships to knots. Topology of surfaces. Brief summary of applications to biology, chemistry, and physics.

Terms: Win
| Units: 3
| UG Reqs: WAY-FR

Instructors:
Wieczorek, W. (PI)

## MATH 101: Math Discovery Lab

MDL is a discovery-based project course in mathematics. Students work independently in small groups to explore open-ended mathematical problems and discover original mathematics. Students formulate conjectures and hypotheses; test predictions by computation, simulation, or pure thought; and present their results to classmates. No lecture component; in-class meetings reserved for student presentations, attendance mandatory. Admission is by application:
http://math101.stanford.edu. Motivated students with any level of mathematical background are encouraged to apply. WIM

Terms: Win
| Units: 3
| UG Reqs: WAY-FR

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