| Days/Dates | Lectures | Sections | Topics Covered |
| Friday 9/23 | 1 | 1.1 | What is a partial differential equation? Examples |
| Monday 9/26 | 2 | 1.2 & 1.3 | First-order linear equations; Flows, vibrations, and diffusions |
| Wednesday 9/28 | 3 | 1.3 | Flows, vibrations, and diffusions |
| Friday 9/30 | 4 | 1.4 & 1.5 | Initial and boundary conditions; Well-posedness |
| Monday 10/3 | 5 | 1.6 | Types of second-order equations |
| Wednesday 10/5 | 6 | 2.1 | The wave equation |
| Friday 10/7 | 7 | 2.2 | Causality and energy |
| Monday 10/10 | 8 | 2.3 | The diffusion equation |
| Wednesday 10/12 | 9 | 2.4 | Diffusion on the whole line |
| Friday 10/14 | 10 | 2.5 | Comparison of waves and diffusions. |
| Monday 10/17 | 11 | 3.1 | Diffusion on the half-line |
| Wednesday 10/19 | 12 | 3.2 | Reflections of waves |
| Friday 10/21 | Midterm Exam 1 | ||
| Monday 10/24 | 13 | 3.3 | Diffusion with a source |
| Wednesday 10/26 | 14 | 3.4 | Waves with a source |
| Friday 10/28 | 15 | 3.5 | Diffusion revisited |
| Monday 10/31 | 16 | 4.1 | Separation of variables. The Dirichlet condition |
| Wednesday 11/2 | 17 | 4.2 | Separation of variables. The Neumann condition |
| Friday 11/4 | 18 | 4.3 | Separation of variables: The Robin condition |
| Monday 11/7 | 19 | 5.1 | Fourier series. The coefficients |
| Wednesday 11/9 | 20 | 5.2 | Even, odd, periodic, and complex functions |
| Friday 11/11 | Veterans Day Holiday - UCSD holiday | Monday 11/14 | 21 | 5.3 | Orthogonality and generalized Fourier series | Wednesday 11/16 | 22 | 5.4 | Completeness |
| Friday 11/18 | Midterm Exam 2 | ||
| Monday 11/21 | 23 | 5.4 | Completeness |
| Wednesday 11/23 | 24 | 6.1 | Laplace's equation |
| Friday 11/25 | Thanksgiving Holiday - UCSD holiday | ||
| Monday 11/28 | 25 | 6.2 | Rectangles and cubels |
| Wednesday 11/30 | 26 | 6.3 | Poisson's formula |
| Friday, 12/2 | Review | ||
| Final Exam: 8:00 am - 10:59 am, Friday, December 9, 2016. | |||