Course schedule
| Lecture | Date | Topic | Reading | Notes |
|---|---|---|---|---|
| 1 | Jan 23 | Series overview | 1 | |
| 2 | Jan 25 | Series properties | 1 | |
| 3 | Jan 28 | Power series | 1 | See note 2 |
| 4 | Jan 30 | Complex numbers | 1 | See note 2 |
| 5 | Feb 1 | Complex power series | 2 | HW 1 due |
| 6 | Feb 4 | Matrices | 2 | See note 3 |
| 7 | Feb 6 | Row reductions | 3 | See note 3 HW 2 due |
| 8 | Feb 8 | Eigenvalues and eigenvectors | 3 | See note 3 |
| 9 | Feb 11 | Vector spaces | 3 | |
| 10 | Feb 13 | Partial differentiation | 3 | HW 3 due |
| 11 | Feb 15 | Maximum problems | 3 | |
| Feb 18 | Presidents Day | |||
| 12 | Feb 20 | Double and triple integrals | 4 | HW 4 due See note 2 |
| 13 | Feb 22 | Moments of inertia | 4 | |
| 14 | Feb 25 | Sturm–Liouville theory | ||
| Feb 27 | Midterm 1 | |||
| 15 | Mar 1 | No lecture | ||
| 16 | Mar 4 | Fourier series #1 | 7 | |
| 17 | Mar 6 | Fourier series #2 | 7 | HW 5 due |
| 18 | Mar 8 | Fourier series #3 | 7 | |
| 19 | Mar 11 | Fourier transforms #1 | 7 | |
| 20 | Mar 13 | Fourier transforms #2 | 7 | HW 6 due |
| 21 | Mar 15 | Laplace transforms #1 | 8 | |
| 22 | Mar 18 | Laplace transforms #2 | 8 | |
| 23 | Mar 20 | Green functions #1 | 8 | HW 7 due |
| 24 | Mar 22 | Green functions #2 | 8 | |
| Mar 25 | Spring Break | |||
| Mar 27 | Spring Break | |||
| Mar 29 | Spring Break | |||
| 25 | Apr 1 | Midterm review | ||
| Apr 3 | Midterm 2 | |||
| 26 | Apr 5 | Residue calculus #1 | 14 | |
| 27 | Apr 8 | Residue calculus #2 | 14 | See note 4 |
| 28 | Apr 10 | Residue calculus #3 | 14 | See note 4 HW 8 due |
| 29 | Apr 12 | No lecture | 14 | |
| 30 | Apr 15 | Residue calculus #4 | 14 | |
| 31 | Apr 17 | Residue calculus #5 | 14 | HW 9 due |
| 32 | Apr 19 | Calculus of variations #1 | 9 | |
| 33 | Apr 22 | Calculus of variations #2 | 9 | |
| 34 | Apr 24 | Calculus of variations #3 | 9 | HW 10 due |
| 35 | Apr 26 | Calculus of variations #4 | 9 | |
| 36 | Apr 29 | |||
| 37 | May 1 | |||
| 38 | May 3 | HW 11 due |
Notes
- The numbers in the reading column correspond to the chapters in Mathematical Methods in the Physical Sciences by Mary L. Boas
- The lectures on Jan 28, Jan 30, and Feb 20 will be given by Jon Wilkening
- The lectures for the week of Feb 4–8 will be given by Matthias Morzfeld
- The lectures of Apr 8 and Apr 10 will be given by Per-Olof Persson