| Date | Section | Topics | Homework problems |
|---|---|---|---|
| 1/17 | 4.1 | Definition of the Laplace transform | 1, 3, 5, 7, 13, 24, 31, 35, 37 |
| 1/22 | 4.2 | The Inverse Transform and Transform of Derivatives | 5, 7, 11, 15, 17, 18, 23, 33, 34, 35, 38 |
| 1/24 | 4.3 | Translation Theorems | 3, 7, 11, 16, 19, 24, 40, 45, 55, 56 |
| 1/29 | 4.4 | Additional Operational Properties | 3, 8, 11, 13, 14, 22, 27, 33, 37, 42, 51, 52 |
| 1/31 | 4.5 | Dirac Delta Function | 1, 3, 8, 10 |
| 4.6 | Systems of Linear Differential Equations | 1, 3, 5, 7 | |
| 2/5 | 7.6 | Vector spaces | |
| 8.1 | Matrix Algebra | 13, 17, 42 | |
| 8.2 | Systems of Linear Algebraic Equations | 3, 10, 11, 15 | |
| 2/7 | 8.3 | Rank of a Matrix | 4, 7, 9, 13, 15, 17 |
| 8.4 | Determinants | 15, 19, 21, 24, 27 | |
| 2/12 | 8.5 | Properties of Determinants | 25, 26, 29 |
| 8.6 | Inverse of a Matrix | 7, 15, 21, 27, 31, 47, 53 | |
| 2/14 | 8.7 | Cramer's Rule | 1, 8 |
| 8.8 | The Eigenvalue Problem | 3, 5, 13, 14, 21 | |
| 2/19 | 8.10 | Orthogonal Matrices | 1, 5, 7, 13, 15, 16 |
| 8.12 | Diagonalization | 3, 5, 13, 21, 27 | |
| 2/21 | Catch up and review | ||
| 2/26 | First midterm exam | ||
| 2/28 | 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 | |
| 3/6 | 3.9 | Linear Models: Boundary-Value Problems | 11, 16 |
| 12.5 | Sturm-Liouville Problem | 1, 5 | |
| 3/18 | 13.1 | Separable Partial Differential Equations | 3, 9, 15, 17, 21, 23 |
| 3/20 | 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 | |
| 3/27 | 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 |
| 4/3 | Catch up and review | ||
| 4/8 | Second midterm exam | ||
| 4/10 | 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 |
| 4/17 | 15.2 | Applications of the Laplace Transform | 1, 2, 3, 9 |
| 4/22 | 15.3 | Fourier Integral | 1, 3, 7, 9 |
| 4/24 | 15.4 | Fourier Transforms | 1, 3, 5, 7, 15 |
| 4/29 | Review | ||
| 5/8 | Final Exam (From 12:00 to 3:00 pm, most likely in the usual classroom (SEC-202)) | ||
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Links to an external site.. If the documentation supports your request for reasonable accommodations, your campus’s disability services office will provide you with a Letter of Accommodations. Please share this letter with your instructors and discuss the accommodations with them as early in your courses as possible. To begin this process, please complete the Registration form on the ODS web site at: https://ods.rutgers.edu/students/registration-form
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