Date | Chapter/Section/Topic |
Chapter 1 | Where PDEs come from |
Tuesday, Jan 18 | 1.1: What is a Partial Differential Equation? |
Thursday, Jan 20 | 1.2: First-order Linear Equations |
Tuesday, Jan 25 | 1.3: Flows, Vibrations and Diffusions |
Thursday, Jan 27 | 1.4: Initial and Boundary Conditions; 1.5: Well-Posed Problems; Quiz 1:1.1,1.2 |
Tuesday, Feb. 1 | 1.6: Types of Second-Order Equations |
Chapter 2 | Waves and Diffusion |
Thursday, Feb 3 | 2.1: The Wave Equation |
Tuesday, Feb. 8 | 2.2: Causality and Energy |
Thursday, Feb. 10 | 2.3: The Diffusion Equation; Quiz 2: 1.3,1.4,1.5,1.6 |
Tuesday, Feb. 15 | 2.4: Diffusion on the Whole Real Line |
Thursday, Feb. 17 | 2.5 Comparison of Waves and Diffusion |
Chapter 4 | Boundary Problems |
Tuesday, Feb. 22 | 4.1: Separation of Variables, the Dirichlet Condition |
Thursday, Feb. 24 | Exam 1: Covers through Section 2.5 |
Tuesday, March 1 | 4.2: The Neumann Condition. |
Chapter 5 | Fourier Series |
Thursday, March 3 | 5.1: The Coefficients |
Tuesday, March 8 | 5.2: Even, Odd, Periodic, and Complex Functions |
Thursday, March 10 | 5.3: Orthogonality and General Fourier Series; Quiz 3: 4.1,4.2 |
Tuesday, March 15 | Spring Break |
Thursday, March 17 | Spring Break |
Tuesday, March 22 | 5.4: Completeness |
Thursday, March 24 | 5.6 Inhomogeneous Boundary Conditions; Quiz 4: 5.1,5.2.5.3 |
Chapter 6 | Harmonic Functions |
Tuesday, March 29 | 6.1: Laplace's Equation |
Thursday, March 31 | 6.2: Rectangles and Cubes |
Tuesday, April 5 | 6.3: Poisson's Formula |
Chapter 7 | Green's Identities and Green's Functions |
Thursday, April 7 | Exam 2: Covers Section 4.1 through Section 5.6 |
Tuesday, April 12 | 7.1: Green's First Identity |
Chapter 8 | Computation of Solutions |
Thursday, April 14 | 8.1: Opportunities and Dangers |
Tuesday, April 19 | 8.2: Approximations of Diffusions |
Thursday, April 21 | 8.3 Approximation of Waves; Quiz 5: 6.1,6.2,6.3,7.1 |
Tuesday, April 26 | 8.4 Approximation of Laplace's Equation; 8.5 Finite Element Method |
Thursday, April 28 | Catch Up and Review |
last revised 3/30/2011