Background and Goals: This course is a continuation of the sequence MATH 295-296 and has the same theoretical emphasis. Students are expected to understand and construct proofs.
Content: Inverse/implicit function theorems, immersion/submersion theorems. Quotient and dual spaces, inner product spaces, spectral theory. Metric spaces, basic point-set topology. Integration in Euclidean space, Fubini's theorem, change of variables formula. Topics in linear algebra: tensor products, exterior and symmetric powers, Jordan and rational canonical forms.
Alternatives: none
Subsequent Courses: MATH 396 (Honors Analysis II), MATH 512, MATH 525