MATH 428
Honors Geometric Analysis

Credit:  3 hours.


Functions on Euclidean spaces, linear and multilinear functions, vector fields and differential forms on Euclidean space, singular chains and Stoke's theorem, manifolds, integration on manifolds, classical theorems as corollaries of Stoke's theorem. As part of the honors sequence, this course will be rigorous and abstract. Approved for honors grading. 3 undergraduate hours. Prerequisite: Consent of the department; either (option I) MATH 427 or (option II) MATH 241 or MATH 380; MATH 415 or MATH 416; MATH 447.