| Day | Material covered in the lecture |
| Week 1 June 24 |
Intro, Review (Sec. 15.1, 15.2, 15.3 and 15.4) |
| June 26 | Sec. 15.5 |
| June 28 | Sec. 15.7 Quiz #1 |
| Week 2 July 1 |
Sec. 15.7 |
| July 3 | Sec. 15.8,15.9 |
| July 5 | Sec. 15.10 |
| Week 3 July 8 |
Sec. 15.10 |
| July 10 | Sec. 15.6, Sec. 14.4 |
| July 12 | Sec. 14.5, 14.6 Quiz #2 |
| Week 4 July 15 |
Sec. 16.2 |
| July 17 | Sec. 16.1 |
| July 19 | Sec. 16.3 |
| Week 5 July 22 |
Sec. 16.4 |
| July 24 | Review Midterm |
| July 26 | Midterm |
| Week 6 July 29 |
s Sec. 16.5, Sec. 16.6 |
| July 31 | Geometry vs Calculus |
| Aug 2 | Sec. 16.7 |
| Week 7 Aug 5 |
Sec. 16.8 |
| Aug 7 | Sec. 16.9 |
| Aug 9 | Differential Forms Quiz #3 |
| Week 8 Aug 12 |
Differential Forms |
| Aug 14 | Catch-Up |
| Aug 16 | Review |
| Week 9 Aug 21 |
Final I |
| Aug 23 | Final II |
*Subject to change, keep checking for updates.