|
Lecture
|
Date | Sections covered | Suggested Homework problems |
|---|---|---|---|
|
1
|
06/24 | 4.1 Definition of the Laplace transform | 1, 3, 5, 7, 13, 24, 31, 35 |
|
2
|
06/26 | 4.2 The Inverse Transform and Derivatives | 5, 7, 11, 15, 17, 18, 23, 33, 34, 35, 38 |
|
3
|
06/28 | 4.3 Translation Theorems Quiz 1 | 3, 7, 11, 16, 19, 28, 44, 29, 49, 59, 60, 74 |
|
4
|
07/01 | 4.4 Additional Operational Properties | 3, 8, 11, 13, 14, 26, 31, 37, 41, 48, 67 |
| 5 | 07/03 | 4.5
Dirac Delta Function 4.6 Systems of Linear Differential Equations |
4.5:
1, 3, 8, 10 4.6: 1, 3, 5, 7 |
| 6 | 07/05 | 7.6
Vector Spaces 8.1 Matrix Algebra Quiz 2 |
7.6:
11, 13, 17, 27, 28 8.1: 13, 17, 42 |
|
7
|
07/08 | 8.2 Systems of Linear Algebraic Equations 8.3 Rank of a Matrix |
8.2: 3, 10,
11, 15 8.3: 4, 7, 9, 13, 15, 17 |
|
8
|
07/10 | 8.4 Determinants 8.5 Properties of Determinants |
8.4: 15,
19, 21, 24, 27 8.5: 25, 26, 29 |
|
9
|
07/12 | 8.6 Inverse of a Matrix 8.7 Cramer's Rule |
8.6: 7, 15,
21, 27, 31, 47,
53 8.7: 1, 7, 8 |
|
10
|
07/15 |
Exam 1 (80 min, on topics covered in Lectures 1-8) 8.8: The Eigenvalue Problem |
|
| 11 | 07/17 | 8.8: The Eigenvalue Problem 7.7 Gram-Schmidt Process |
8.8: 3, 5,
13, 14,
21 7.7: 2, 3, 5, 9, 15, 17 |
| 12 | 07/19 | 8.10 Orthogonal Matrices
8.12 Diagonalization |
8.10: 1, 5, 7,
13, 15, 16 8.12: 3, 5, 13, 21, 27 |
| 13 | 07/22 | 12.1
Orthogonal Functions 12.2 Fourier Series Quiz 3 |
12.1: 1, 3, 5, 9,
11 12.2: 1, 5, 9, 15 |
|
14
|
07/24 | 12.3 Fourier Sine and Cosine Series 12.4 Complex Fourier Series |
12.3: 3, 5, 8, 13, 20,
23, 29, 36 12.4: 1, 3, 5, 6 |
|
15
|
07/26 | 3.9 Linear Models: BVPs 12.5 Sturm-Liouville Problem |
3.9:
11, 16 12.5: 1, 5 |
| 16 | 07/29 | 13.1 Separable Partial Differential Equations 13.2 Classical PDEs and BVPs |
13.1: 3, 9,
15, 17,
21, 23 13.2: 1, 3, 5, 7, 8, 11 |
|
17
|
07/31 |
Exam 2 (80min, on topics covered in Lectures 9-15) 13.2 Classical PDEs and BVPs |
|
| 18 | 08/02 | 13.3 Heat Equation | 13.3: 2, 5, 6 |
|
19
|
08/05 | 13.4 Wave Equation | 13.4: 1, 3, 5, 8 |
| 20 | 08/07 | 13.5 Laplace's Equation 13.6 Nonhomogeneous BVPs Quiz 4 |
13.5:
3, 4, 5, 15 13.6: 1, 3, 5, 9, 10, 11 |
|
21
|
08/09 | 13.7 Orthogonal Series Expansions 14.1 Laplace's Equation in Polar Coordinates |
13.7: 1, 2,
3, 5, 7 14.1: 1, 3, 7, 10 |
|
22
|
08/12 | Catch up and Review for the Final Exam | |
|
23
|
08/14 | Final Exam |