| Date | Section | Topics | Homework problems | |
|---|---|---|---|---|
| 1/19 | 4.1 | Definition of the Laplace transform | 1, 3, 5, 7, 13, 24, 31, 35, 37 | |
| 1/21 | 4.2 | The Inverse Transform and Transform of Derivatives | 5, 7, 11, 15, 17, 18, 23, 33, 34, 35, 38 | |
| 1/26 | 4.3 | Translation Theorems | 3, 7, 11, 16, 19, 24, 40, 45, 55, 56 | |
| 1/28 | 4.4 | Additional Operational Properties | 3, 8, 11, 13, 14, 22, 27, 33, 37, 42, 51, 52 | |
| 2/2 | 4.5 | Dirac Delta Function | 1, 3, 8, 10 | |
| 4.6 | Systems of Linear Differential Equations | 1, 3, 5, 7 | ||
| 2/4 | 7.6 | Vector spaces | ||
| 8.1 | Matrix Algebra | 13, 17, 42 | ||
| 8.2 | Systems of Linear Algebraic Equations | 3, 10, 11, 15 | ||
| 2/9 | 8.3 | Rank of a Matrix | 4, 7, 9, 13, 15, 17 | |
| 8.4 | Determinants | 15, 19, 21, 24, 27 | ||
| 2/11 | 8.5 | Properties of Determinants | 25, 26, 29 | |
| 8.6 | Inverse of a Matrix | 7, 15, 21, 27, 31, 47, 53 | ||
| 2/16 | 8.7 | Cramer's Rule | 1, 8 | |
| 8.8 | The Eigenvalue Problem | 3, 5, 13, 14, 21 | ||
| 2/18 | 8.10 | Orthogonal Matrices | 1, 5, 7, 13, 15, 16 | |
| 8.12 | Diagonalization | 3, 5, 13, 21, 27 | ||
| 2/23 | Catch up and review | |||
| 2/25 | First midterm exam | |||
| 3/2 | 12.1 | Orthogonal Functions | 1, 3, 5, 9, 11 | |
| 12.2 | Fourier Series | 1, 5, 9, 15, 17 | ||
| 3/4 | 12.3 | Fourier Sine and Cosine Series | 3, 5, 8, 13, 20, 23, 29, 36 | |
| 12.4 | Complex Fourier Series | 1, 3, 5, 6 | ||
| 3/9 | 3.9 | Linear Models: Boundary-Value Problems | 11, 16 | |
| 12.5 | Sturm-Liouville Problem | 1, 5 | ||
| 3/11 | 13.1 | Separable Partial Differential Equations | 3, 9, 15, 17, 21, 23 | |
| 3/23 | 13.2 | Classical PDEs and Boundary-Value Problems | 1, 3, 5, 7, 8, 11 | |
| 3/25 | 13.3 | Heat Equation | 1, 2, 3, 4 | |
| 13.4 | Wave Equation | 1, 3, 5, 8 | ||
| 3/30 | 13.5 | Laplace's Equation | 3, 4, 5, 15 | |
| 13.6 | Nonhomogeneous BVPs | |||
| 4/1 | 13.6 | Nonhomogeneous BVPs | 1, 3, 5, 9, 10, 11 | |
| 4/6 | Catch up and review | |||
| 4/8 | Second midterm exam | |||
| 4/13 | 13.7 | Orthogonal Series Expansions | 1, 2, 3 | |
| 13.8 | Fourier Series in Two Variables | 1, 3, 5 | ||
| 4/15 | 14.1 | Laplace's Equation in Polar Coordinates | 1, 3, 7, 10 | |
| 4/20 | 15.2 | Applications of the Laplace Transform | 1, 2, 3, 9 | |
| 4/22 | 15.3 | Fourier Integral | 1, 3, 7, 9 | |
| 4/27 | 15.4 | Fourier Transforms | 1, 3, 5, 7, 15 | |
| 4/29 | Review | |||
| 5/6 | Final Exam (From 8:00 to 11:00 pm) | |||