Contact Structure
A differential one-form.

Math 370, Fall 2020

The main online resource for this course is Canvas, where handouts and homeworks are posted. There are also videos on YouTube.

On this page you can find the syllabus and calendar. If a date is in the future then the topics are tentative. If the date is a week or more in the past then I likely have updated the calendar with what we actually covered.

Class dates Reference Topics
T 8/25-Th 8/27 Forntey Ch 1, Munkres S7 Derivatives and the chain rule
T 9/1-Th 9/3 Munkres S8-9 Inverse and implicit function theorems
T 9/8-Th 9/10Forntey Ch 2 Differential forms
T 9/15-Th 917 Forntey Ch 3 Wedge product
T 9/22-Th 9/24 Fortney Ch 4 Exterior derivative
T 9/29 Fortney Ch 5 Visualizing differential forms
Th 10/1 midterm
T 10/6-Th 10/8 Fortney Ch 6 Change of variables
T 10/13-Th 10/15 Fortney Ch 7 Integration of differential forms
T 10/20-Th 10/22 Fortney Ch 8 Poincare Lemma
T 10/27-Th 10/29Fortney Ch 10Manifolds
T 11/3-Th 11/5Fortney Ch 9-10More manifolds, multivariable calculus version of Stokes' theorem
T 11/10-Th 11/12 Fortney Ch 9, 11 Div, grad, curl and differential forms, Stokes' theorem
T 11/17-Th 11/19 Fortney Ch 11 Proof of Stokes' theorem
week of 11/30 Fortney 4.5 Geometric interpretation of differential forms, review
TBA Final exam

Typos

There are occasional typos in the book. Here is a list of those I or students have caught.