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MATH 196: Undergraduate Colloquium

Weekly lectures by different experts on topics in pure and applied mathematics that go beyond the standard curriculum. May be repeated for credit for up to 3 units. Does not count toward the math major or minor.
Terms: Aut, Win, Spr | Units: 1 | Repeatable 3 times (up to 3 units total)
Instructors: Conrad, B. (PI)

MATH 197: Senior Honors Thesis

(Staff)
Terms: Aut, Win, Spr | Units: 1-6 | Repeatable 3 times (up to 9 units total)

MATH 199: Independent Work

Undergraduates pursue a reading program; topics limited to those not in regular department course offerings. Credit can fulfill the elective requirement for math majors. Approval of Undergraduate Affairs Committee is required to use credit for honors majors area requirement.
Terms: Aut, Win, Spr | Units: 1-3 | Repeatable 3 times (up to 9 units total)

MATH 205A: Real Analysis

Basic measure theory and the theory of Lebesgue integration. Prerequisite: 171 or equivalent.
Terms: Aut | Units: 3

MATH 205B: Real Analysis

Point set topology, basic functional analysis, Fourier series, and Fourier transform. Prerequisites: 171 and 205A or equivalent.
Terms: Win | Units: 3
Instructors: Vasy, A. (PI)

MATH 210A: Modern Algebra

Basic commutative ring and module theory, tensor algebra, homological constructions, linear and multilinear algebra, introduction to representation theory. Prerequisite: 121 or equivalent.
Terms: Aut | Units: 3
Instructors: Conrad, B. (PI)

MATH 210B: Modern Algebra

Continuation of 210A. Topics in group theory, Galois theory, commutative algebra, introductions to algebraic number theory and algebraic geometry.
Terms: Win | Units: 3
Instructors: Brumfiel, G. (PI)

MATH 210C: Modern Algebra

Continuation of 210B. Semisimple rings and modules, representation theory, Lie algebras, Lie groups and their representations.
Terms: Spr | Units: 3

MATH 215A: Complex Analysis, Geometry, and Topology

Analytic functions, complex integration, Cauchy's theorem, residue theorem, argument principle, conformal mappings, Riemann mapping theorem, Picard's theorem, elliptic functions, analytic continuation and Riemann surfaces.
Terms: Aut | Units: 3
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