| Days/Dates | Lectures | Sections | Topics Covered |
| Monday 1/6 | 1 | 1.1 | What is a partial differential equation? Examples |
| Wednesday 1/8 | 2 | 1.2 & 1.3 | First-order linear equations; Flows, vibrations, and diffusions |
| Friday 1/10 | 3 | 1.3 | Flows, vibrations, and diffusions |
| Monday 1/13 | 4 | 1.4 & 1.5 | Initial and boundary conditions; Well-posedness |
| Wednesday 1/15 | 5 | 1.6 | Types of second-order equations |
| Friday 1/17 | 6 | 2.1 | The wave equation |
| Monday 1/20 | Martin Luther King Jr. Day - UCSD holiday | ||
| Wednesday 1/22 | 7 | 2.2 | Causality and energy |
| Friday 1/24 | 8 | 2.3 | The diffusion equation |
| Monday 1/27 | 9 | 2.4 | Diffusion on the whole line |
| Wednesday 1/29 | 10 | 2.5 | Comparison of waves and diffusions. Review |
| Friday 1/31 | Midterm Exam 1. Cover: Chapters 1 and 2 | ||
| Monday 2/3 | 11 | 3.1 | Diffusion on the half-line |
| Wednesday 2/5 | 12 | 3.2 | Reflections of waves |
| Friday 2/7 | 13 | 3.3 | Diffusion with a source |
| Monday 2/10 | 14 | 3.4 | Waves with a source |
| Wednesday 2/12 | 15 | 3.5 | Diffusion revisited |
| Friday 2/14 | 16 | 4.1 | Separation of variables. The Dirichlet condition |
| Monday 2/17 | Presidents' DAy - UCSD holiday | ||
| Wednesday 2/19 | 17 | 4.2 | Separation of variables. The Neumann condition |
| Friday 2/21 | 18 | 4.3 | Separation of variables: The Robin condition |
| Monday 2/24 | 19 | 5.1 | Fourier series. The coefficients |
| Wednesday 2/26 | 20 | 5.2 | Even, odd, periodic, and complex functions |
| Friday 2/28 | Midterm Exam 2. Cover: Chapters 3 and 4, and Sections 5.1 and 5.2 | Monday 3/3 | 21 | 5.3 | Orthogonality and generalized Fourier series | Wednesday 3/5 | 22 | 5.4 | Completeness |
| Friday 3/7 | 23 | 5.6 | Inhomogeneous boundary conditions |
| Monday 3/10 | 24 | 6.1 | Laplace's equation |
| Wednesday 3/12 | 25 | 6.2 | Rectangles and cubels |
| Friday 3/14 | 26 | 6.3 | Poisson's formula |
| Final Exam: 3:00 pm - 5:59 pm, Monday, March 17, 2014 | |||