| Date | Section | Topics | Homework problems |
|---|---|---|---|
| 1/22 | 4.1 | Definition of the Laplace transform | 1, 5, 7, 13, 23, 35, 37 |
| 1/24 | 4.2 | The Inverse Transform and Transform of Derivatives | 7, 11, 23, 31, 35, 39 |
| 1/29 | 4.3 | Translation Theorems | |
| 1/31 | 4.3 | Translation Theorems | 3, 7, 9, 11, 15, 19, 37, 41, 45, 47, 49-54, 67 |
| 2/5 | 4.4 | Additional Operational Properties | 3, 7, 11, 13, 19, 27, 33, 37, 39 |
| 2/7 | 4.5 | Dirac Delta Function | 1, 3, 9 |
| 2/12 | 4.6 | Solving Systems of Linear Equations | 1, 7, 9, 11 |
| 2/14 | 7.6 | Vector spaces | |
| 8.1 | Matrix Algebra | 17, 23, 29, 35, 37 | |
| 8.2 | Systems of Linear Algebraic Equations | 5, 9, 11, 17 | |
| 2/19 | 8.3 | Rank of a Matrix | 5, 7, 9, 13, 15 |
| 8.4 | Determinants | 19, 21, 25, 27 | |
| 8.5 | Properties of Determinants | 5, 11, 13, 23, 31, 33 | |
| 2/21 | 8.6 | Inverse of a Matrix | 7, 25, 27, 31, 51, 53 |
| 8.7 | Cramer's Rule | 1, 9 | |
| 2/26 | 8.8 | The Eigenvalue Problem | 5, 13, 19 |
| 2/28 | Catch up and review | ||
| 3/5 | First midterm exam | ||
| 3/7 | 8.10 | Orthogonal Matrices | 7, 13, 15 |
| 8.12 | Diagonalization | 5, 13, 15, 23 | |
| 3/12 | 3.9 | Linear Models: Boundary-Value Problems | 11, 15 |
| 12.5 | Sturm-Liouville Problem | 1 | |
| 12.1 | Orthogonal Functions | 3, 7, 17 | |
| 3/14 | 12.2 | Fourier Series | 1, 5, 9, 15, 17, 21 Problem 21 is Parseval's Formula |
| 3/26 | 12.3 | Fourier Sine and Cosine Series | 3, 5, 7, 13, 19, 23, 29, 35 |
| 12.4 | Complex Fourier Series and Frequency Spectrum | 5 | |
| 3/28 | 13.1 | Separable Partial Differential Equations | 3, 11, 15, 17, 21, 23 |
| 4/2 | 13.2 | Classical Equations and Boundary-Value Problems | 1, 3, 5, 9 |
| 4/4 | 13.3 | Heat Equation | 1, 3, 4 |
| 13.4 | Wave Equation | 1, 3, 5, 12, 13
Problem 12 gives d'Alembert's solution to the wave equation. |
|
| 4/9 | 13.5 | Laplace's Equation | 5, 7, 15 |
| 13.8 | Fourier Series in Two Variables | 1, 3 | |
| 4/11 | Catch up and review | ||
| 4/16 | Second midterm exam | ||
| 4/18 | 13.8 | Fourier Series in Two Variables | |
| 13.6 | Nonhomogeneous BVPs | ||
| 4/23 | 13.6 | Nonhomogeneous BVPs | 2, 3, 14, 18 |
| 4/25 | 14.1 | Laplace's Equation in Polar Coordinates | 1, 3, 7 |
| 4/30 | 15.2 | Applications of the Laplace Transform | 2, 17 |
| 5/2 | Review | ||
| 5/10 | Final Exam | ||