2025 Fall MATH 214 001 LEC 001

2025 Fall

MATH 214 001 - LEC 001

Differential Topology

Michael Hutchings

Aug 27, 2025 - Dec 12, 2025
Tu, Th
09:30 am - 10:59 am
Class #:25393
Units: 4

Instruction Mode: In-Person Instruction

Offered through Mathematics

Current Enrollment

Total Open Seats: 30
Enrolled: 0
Waitlisted: 0
Capacity: 30
Waitlist Max: 6
No Reserved Seats

Hours & Workload

3 hours of instructor presentation of course materials per week, and 9 hours of outside work hours per week.

Other classes by Michael Hutchings

Course Catalog Description

This is an introduction to abstract differential topology based on rigorous mathematical proofs. The topics include Smooth manifolds and maps, tangent and normal bundles. Sard's theorem and transversality, Whitney embedding theorem. differential forms, Stokes' theorem, Frobenius theorem. Basic degree theory. Flows, Lie derivative, Lie groups and algebras. Additional topics selected by instructor.

Rules & Requirements

Repeat Rules

Course is not repeatable for credit.

Reserved Seats

Current Enrollment

No Reserved Seats

Textbooks & Materials

See class syllabus or https://calstudentstore.berkeley.edu/textbooks for the most current information.

Textbook Lookup

Guide to Open, Free, & Affordable Course Materials

eTextbooks

Associated Sections

None