Fall Term 2025 (1930)
MATH 436 - Intermediate Partial Differential Equations
3 units (fi 6)(FIRST, 3-0-0)
Partial differential equations as physical models. Introduction to basic generalized functions. Theory of linear and quasi-linear first-order equations: general solution, initial value problem, generalized solutions and propagation of singularities, characteristic surfaces, shock formation. Theory of fully nonlinear first order equations: complete solution and the initial value problem. Hamilton-Jacobi equation and its applications. Second order linear equations in n dimensions: classification, canonical form, characteristic surfaces and shock formation, initial and boundary value problem. Prerequisite: MATH 300 or MATH 337.
LECTURE A1 (51566)
2025-09-02 - 2025-12-08
TR 12:30 - 13:50
Winter Term 2026 (1940)
MATH 448 - Introduction to Differential Geometry
3 units (fi 6)(EITHER, 3-0-0)
Riemannian geometry of n-space, metric tensors, various curvature concepts and their relationships, covariant differentiation, geodesics, parallel transport. Additional topics at the discretion of the instructor. Prerequisite: MATH 348, or MATH 217 and one of MATH 225 or 227. Note: Offered in alternate years. It may be offered in intervening years if demand is sufficient.
LECTURE Q1 (88036)
2026-01-05 - 2026-04-10
MWF 11:00 - 11:50