| Session Date |
Section | Topics | Homework problems (* = graded) | Date due |
|---|---|---|---|---|
| #1
1/20 |
4.1 | Definition of the Laplace transform | 1, 5*, 7*, 13, 23, 25, 31, 35, 37 | 1/27 |
| 4.2.1 | Inverse Laplace Transform | 7, 11, 23* | 1/27 | |
| #2
1/23 |
4.2.2 | Laplace Transform of Derivatives (Quiz) | 31*, 35*, 39 | 1/27 |
| #3
1/27 |
4.3 | Translation Theorems | 3, 7, 9, 11, 15*, 19, 37, 41, 45, 47, 49-54, 63*, 67 | 2/03 |
| #4
1/30 |
4.4.1 | Derivatives of Transforms | 3, 7, 11*, 13 | 2/03 |
| 4.4.2 | Transforms of Integrals (Quiz) | 19, 27*, 33, 37*, 39 | 2/03 | |
| #5
2/03 |
4.4.3 | Transforms of a Periodic Function | 49*, 51* | 2/10 |
| 4.5 | Dirac Delta Function | 1, 3, 9* | 2/10 | |
| #6
2/06 |
4.6 | Systems of Linear Differential Equations (Quiz) | 1, 7, 9*, 11* | 2/10 |
| #7
2/10 |
12.1 | Orthogonal Functions | 1, 3*, 7, 13*, 15, 16, 17, 21 | 2/17 |
| #8
2/13 |
12.2 | Fourier Series (Quiz) | 1, 3, 5*, 9*, 15, 17*, 19, 21 | 2/17 |
| #9
2/17 |
Catch up and review | |||
| #10
2/20 |
First midterm exam (closed book - formula page provided) | |||
| #11
2/24 |
12.3 | Fourier Sine and Cosine Series | 1, 3, 5, 7, 13, 19*, 23, 29*, 41* | 3/03 |
| #12
2/27 |
12.4 | Complex Fourier Series and Frequency Spectrum | 1, 3*, 5*, 7 | 3/03 |
| 12.5 | Regular Sturm-Liouville Problems (Quiz) | 1* | 3/10 | |
| #13
3/03 |
12.5 | Regular Sturm-Liouville Problems | 5 | 3/10 |
| #14
3/06 |
13.1 | Separable Partial Differential Equations | 1, 3 | 3/10 |
| 13.2 | Classical Equations and Boundary-Value Problems | 1, 3, 5*, 7, 9*, 11 | 3/10 | |
| 13.3 | Heat Equation (Quiz) | 1*, 3*, 5 | 3/10 | |
| #15
3/10 |
13.4 | Wave Equation | 1*, 3, 5, 8*, 11 | 3/24 |
| #16
3/13 |
13.5 | Laplace's Equation (Quiz) | 1, 3, 5*, 7*, 15* | 3/24 |
| Spring break | ||||
| #17
3/24 |
13.6 | Nonhomogeneous Boundary Value Problems | 1*, 3, 5* | 3/31 |
| #18
3/27 |
13.7 | Orthogonal Series Expansions (Quiz) | 1* | 3/31 |
| #19
3/31 |
13.8 | Fourier Series in Two Variables | 1*, 3* | 4/10 |
| 14.1 | Laplace's Equation in Polar Coordinates | 1*, 3*, 7* | 4/10 | |
| #20
4/03 |
Catch up and review | |||
| #21
4/07 |
Second midterm exam on Chapters 12 and 13.1-13.7 (closed book - formula page provided) | |||
| #22
4/10 |
8.1 | Matrix Algebra | 15, 17, 19*, 23, 29, 35, 37, 39, 46 | 4/14 |
| 8.2 | Systems of Linear Algebraic Equations | 5, 9*, 11, 15*, 27, 39*, 41* | 4/14 | |
| #23
4/14 |
7.6 | Vector Spaces | 11, 13, 17, 27* | 4/21 |
| 8.3 | Rank of a Matrix | 1, 5, 7*, 13*, 15, 17 | 4/21 | |
| #24
4/17 |
8.4 | Determinants | 19, 21, 25*, 27, 29 | 4/21 |
| 8.5 | Properties of Determinants (Quiz) | 1, 3, 5, 7, 9, 11, 13*, 15, 21, 23, 31, 33* | 4/21 | |
| #25
4/21 |
8.6 | Inverse of a Matrix | 5, 7*, 19, 23*, 27, 31, 43, 51, 53 | 4/28 |
| 8.7 | Cramer's Rule | 1, 9, 11* | 4/28 | |
| #26
4/24 |
8.8 | Eigenvalue Problem (Quiz) | 5, 13*, 15* | 4/28 |
| #27
4/28 |
8.10 | Orthogonal Matrices | 7, 13, 15 | |
| 8.12 | Diagonalization of Matrices | 5, 13, 21, 25, 27, 37, 39 | ||
| #28
5/1 |
Catch up and review | |||
| 5/07 | 12:00 - 3:00 pm (room TBA) Final exam (closed book - formula page provided) | |||
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