| Lecture | Date | Topic |
| 1 | Tue 1/30 | Review of integration in dimension 1, introduction to multiple integrals |
| 2 | Thu 2/1 | Double intergrals: basic properties |
| 3 | Tue 2/6 | Double integrals: Fubini's theorem and applications |
| 4 | Thu 2/8 | Double integrals: integrable functions and sets of measure zero |
| 5 | Tue 2/13 | Triple integrals and beyond |
| 6 | Thu 2/15 | Further applications: volume, average value, center of mass |
| --- | Tue 2/20 | No class |
| 7 | Thu 2/22 | Geometry of plane and space transformations |
| 8 | Tue 2/27 | Change of variables in dimension 2 |
| 9 | Thu 3/1 | Change of variables in dimension 3, special coordinates in $\mathbb{R}^3$ |
| 10 | Tue 3/6 | Workshop I |
| 11 | Thu 3/8 | Midterm I |
| 12 | Tue 3/13 | Line integrals: introduction |
| 13 | Thu 3/15 | Line integrals: further properties |
| 14 | Tue 3/20 | Parametrized surfaces |
| 15 | Thu 3/22 | Surface integrals of scalar functions |
| 16 | Tue 3/27 | Surface integrals of vector fields |
| 17 | Thu 3/29 | Surface integrals and curvature |
| --- | Tue 4/3 | No class |
| --- | Thu 4/5 | No class |
| 18 | Tue 4/10 | Workshop II |
| 19 | Thu 4/12 | Midterm II |
| 20 | Tue 4/17 | Green's theorem |
| 21 | Thu 4/19 | Stokes theorem: statements |
| 22 | Tue 4/24 | Stokes theorem: applications |
| 23 | Thu 4/26 | Conservative fields |
| 24 | Tue 5/1 | Gauss's theorem: statements |
| 25 | Thu 5/3 | Gauss's theorem: applications |
| 26 | Tue 5/8 | Differential forms |
| 27 | Thu 5/10 | Workshop III |
| 28 | Tue 5/15 | Workshop IV |