MATH 197: Senior Honors Thesis
For Honors Math Majors only who are working on senior honors thesis under an approved advisor carrying out research and reading. Satisfactory written account of progress achieved during term must be submitted to advisor before term ends. May be repeated 3 times for a max of 9 units. Contact Math Department Student Services Officer to enroll.
Terms: Aut, Win, Spr
| Units: 1-6
| Repeatable
3 times
(up to 9 units total)
Instructors:
Donoho, D. (PI)
;
Eliashberg, Y. (PI)
;
Mazzeo, R. (PI)
;
Rubinstein, A. (PI)
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Instructors:
Donoho, D. (PI)
;
Eliashberg, Y. (PI)
;
Mazzeo, R. (PI)
;
Rubinstein, A. (PI)
;
Sommer, R. (PI)
;
Zhandry, M. (PI)
;
Zhu, X. (PI)
MATH 198: Practical Training
For Math majors only. Students obtain employment in a relevant industrial or research activity to enhance their professional experience. Students submit a concise report detailing work activities, problems worked on, and key results. May be repeated for credit up to 3 units. Prerequisite: qualified offer of employment and consent of department. Departmental approval required; you must contact the Math Department Student Services Specialist for instructions before being granted permission to enroll.
Terms: Aut, Win, Spr, Sum
| Units: 1
| Repeatable
3 times
(up to 3 units total)
Instructors:
Conrad, B. (PI)
MATH 199: Reading Topics
For Math majors only. Undergraduates pursue a reading program under the direction of a Math faculty member; topics limited to those not in regular department course offerings. Credit can only count toward the elective portion of the Math degree. Departmental approval required; please contact the Math department Student Services Specialist for the enrollment proposal form at least 2 weeks before the final study list deadline. May be repeated for credit. Enrollment beyond a third section requires additional approval.
Terms: Aut, Win, Spr
| Units: 3
| Repeatable
for credit
Instructors:
Abouzaid, M. (PI)
;
Bump, D. (PI)
;
Chatterjee, S. (PI)
;
Conrad, B. (PI)
;
Ionel, E. (PI)
;
Mazzeo, R. (PI)
;
McKenzie, T. (PI)
;
Ryzhik, L. (PI)
MATH 205A: Real Analysis
Basic measure theory and the theory of Lebesgue integration. NOTE: Undergrad, Coterm, and Master's students require instructor permission to enroll. Those 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: Aut
| Units: 3
Instructors:
Ryzhik, L. (PI)
;
Eo, S. (TA)
MATH 205B: Real Analysis
Point set topology, basic functional analysis, Fourier series, and Fourier transform. . NOTE: Undergraduates and Masters students who wish to enroll must fill out a Request for Review form:
https://forms.gle/v5RojToYzmYxGvKc7 ; Your request will be reviewed by faculty and you'll be notified if you are granted permission to enroll.
Terms: Win
| Units: 3
Instructors:
Mazzeo, R. (PI)
;
Lu, E. (TA)
MATH 205C: Topics in Harmonic Analysis
Topics of contemporary interest in Fourier, harmonic, and/or microlocal analysis. Prerequisite:
Math 205B. NOTE: Undergraduates and Masters students who wish to enroll must fill out a Request for Review form:
https://forms.gle/v5RojToYzmYxGvKc7 ; Your request will be reviewed by faculty and you'll be notified if you are granted permission to enroll.
Terms: Spr
| Units: 3
| Repeatable
for credit
Instructors:
Montanari, A. (PI)
MATH 210A: Modern Algebra I
Basic commutative ring and module theory, tensor algebra, homological constructions, linear and multilinear algebra, canonical forms and Jordan decomposition. NOTE: Undergrad, Coterm, and Master's students require instructor permission to enroll. Those 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: Aut
| Units: 3
Instructors:
Vakil, R. (PI)
MATH 210B: Modern Algebra II
Continuation of 210A. Topics in field theory, commutative algebra, algebraic geometry, and finite group representations. NOTE: Undergraduates and Masters students who wish to enroll must fill out a Request for Review form:
https://forms.gle/v5RojToYzmYxGvKc7 ; Your request will be reviewed by faculty and you'll be notified if you are granted permission to enroll.
Terms: Win
| Units: 3
Instructors:
Taylor, R. (PI)
;
Iwasaki, H. (TA)
MATH 210C: Lie Theory
Topics in Lie groups, Lie algebras, and/or representation theory. Prerequisite:
Math 210A and familiarity with the basics of finite group representations. When the course is on Lie groups, familiarity with tangent spaces and integration on manifolds is assumed. May be repeated for credit. NOTE: Undergraduates and Masters students who wish to enroll must fill out a Request for Review form:
https://forms.gle/v5RojToYzmYxGvKc7 ; Your request will be reviewed by faculty and you'll be notified if you are granted permission to enroll.
Terms: Spr
| Units: 3
| Repeatable
for credit
Instructors:
Zhang, Z. (PI)
MATH 215A: Algebraic Topology
Topics: fundamental group and covering spaces, basics of homotopy theory, homology and cohomology (simplicial, singular, cellular), products, introduction to topological manifolds, orientations, Poincare duality. NOTE: Undergrad, Coterm, and Master's students require instructor permission to enroll. Those 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: Aut
| Units: 3
Instructors:
Ionel, E. (PI)
;
Qin, Q. (TA)