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 9/10 | Forntey 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 10/29 | Fortney Ch 10 | Manifolds |
| T 11/3-Th 11/5 | Fortney Ch 9-10 | More 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 |