printer friendly pageMATH 216C: Introduction to Algebraic Geometry
Continuation of 216B. May be repeated for credit. NOTE: Undergraduates require instructor permission to enroll. Undergraduates interested in taking the course should contact the instructor for permission, providing information about relevant background such as performance in prior coursework, reading, etc.
Terms: Spr
| Units: 3
| Repeatable
for credit
Instructors:
Lee, S. (PI)
MATH 221B: Mathematical Methods of Imaging
This is a project based course where the first half is an introduction to imaging: coherent and incoherent, passive and active, migration, time-reversal and optimization-based imaging, with applications to ultrasound, radar, sonar and seismic imaging. The projects come from a close study of recent papers that use neural networks for imaging when large data sets are available and some special applications such as satellite imaging.
Terms: Spr
| Units: 3
Instructors:
Papanicolaou, G. (PI)
MATH 228: Stochastic Methods in Engineering (CME 308, MS&E 324)
The basic limit theorems of probability theory and their application to maximum likelihood estimation. Basic Monte Carlo methods and importance sampling. Markov chains and processes, random walks, basic ergodic theory and its application to parameter estimation. Discrete time stochastic control and Bayesian filtering. Diffusion approximations, Brownian motion and an introduction to stochastic differential equations. Examples and problems from various applied areas. Prerequisites: exposure to probability and background in analysis.
Terms: Spr
| Units: 3
MATH 230C: Theory of Probability III (STATS 310C)
Continuous time stochastic processes: martingales, Brownian motion, stationary independent increments, Markov jump processes and Gaussian processes. Invariance principle, random walks, LIL and functional CLT. Markov and strong Markov property. Infinitely divisible laws. Some ergodic theory. Prerequisite: 310B or
MATH 230B.
http://statweb.stanford.edu/~adembo/stat-310c/
Terms: Spr
| Units: 3
Instructors:
Dembo, A. (PI)
;
Tung, N. (TA)
MATH 232: Topics in Probability
A topics course in probability and related areas. The topic will be announced by the instructor. NOTE: Undergraduates require instructor permission to enroll. Undergraduates interested in taking the course should contact the instructor for permission, providing information about relevant background such as performance in prior coursework, reading, etc.
Terms: Spr
| Units: 3
| Repeatable
for credit
Instructors:
Dembo, A. (PI)
MATH 233C: Topics in Combinatorics
A topics course in combinatorics and related areas. The topic will be announced by the instructor. NOTE: Undergraduates require instructor permission to enroll. Undergraduates interested in taking the course should contact the instructor for permission, providing information about relevant background such as performance in prior coursework, reading, etc.
Terms: Spr
| Units: 3
| Repeatable
for credit
Instructors:
Fox, J. (PI)
MATH 249C: Topics in Number Theory
Topics of contemporary interest in number theory. May be repeated for credit. NOTE: Undergraduates require instructor permission to enroll. Undergraduates interested in taking the course should contact the instructor for permission, providing information about relevant background such as performance in prior coursework, reading, etc.
Terms: Spr
| Units: 3
| Repeatable
for credit
Instructors:
Soundararajan, K. (PI)
MATH 256B: Partial Differential Equations
Continuation of 256A.
Terms: Spr
| Units: 3
| Repeatable
for credit
Instructors:
Ryzhik, L. (PI)
MATH 263C: Topics in Representation Theory
Topics in Contemporary Representation Theory. May be repeated for credit. NOTE: Undergraduates require instructor permission to enroll. Undergraduates interested in taking the course should contact the instructor for permission, providing information about relevant background such as performance in prior coursework, reading, etc.
Terms: Spr
| Units: 3
| Repeatable
for credit
Instructors:
Zhang, Z. (PI)
MATH 269: Topics in symplectic geometry
May be repeated for credit.
Terms: Spr
| Units: 3
| Repeatable
for credit
Instructors:
Abouzaid, M. (PI)
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