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81 - 90 of 161 results for: MATH

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 for credit | Grading: Satisfactory/No Credit

MATH 197: Senior Honors Thesis

(Staff) May be repeated 3 times for a max of 9 units.
Terms: Aut, Win, Spr | Units: 1-6 | Repeatable for credit | Grading: Letter or Credit/No Credit

MATH 198: Practical Training

Only for students majoring in mathematics. 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 instructor. Prior approval by Math Department is required; you must contact the Math Department's Student Services staff for instructions before being granted permission to enroll.
Terms: Aut, Win, Spr, Sum | Units: 1 | Repeatable for credit | Grading: Satisfactory/No Credit

MATH 205A: Real Analysis

Basic measure theory and the theory of Lebesgue integration. Prerequisite: 171 or equivalent.
Terms: Aut | Units: 3 | Grading: Letter or Credit/No Credit
Instructors: Simon, L. (PI)

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 | Grading: Letter or Credit/No Credit
Instructors: Mazzeo, R. (PI)

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 | Grading: Letter or Credit/No Credit
Instructors: Ryzhik, L. (PI)

MATH 216A: Introduction to Algebraic Geometry

Algebraic curves, algebraic varieties, sheaves, cohomology, Riemann-Roch theorem. Classification of algebraic surfaces, moduli spaces, deformation theory and obstruction theory, the notion of schemes. May be repeated for credit. Prerequisites: 210ABC or equivalent.
Terms: Aut | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: Li, Z. (PI)

MATH 216B: Introduction to Algebraic Geometry

Continuation of 216A. May be repeated for credit.
Terms: Win | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: Vakil, R. (PI)

MATH 216C: Introduction to Algebraic Geometry

Continuation of 216B. May be repeated for credit.
Terms: Spr | Units: 3 | Repeatable for credit | Grading: Letter or Credit/No Credit
Instructors: Vakil, R. (PI)

MATH 217A: Differential Geometry

Smooth manifolds and submanifolds, tensors and forms, Lie and exterior derivative, DeRham cohomology, distributions and the Frobenius theorem, vector bundles, connection theory, parallel transport and curvature, affine connections, geodesics and the exponential map, connections on the principal frame bundle. Prerequisite: 215C or equivalent.
Terms: Spr | Units: 3 | Grading: Letter or Credit/No Credit
Instructors: Mazzeo, R. (PI)
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