Lecture
|
Date | Sections covered | Suggested Homework problems |
---|---|---|---|
1
|
01/16 | 4.1 Definition of the Laplace transform | 1, 3, 5, 7, 13, 24, 31, 35 |
2
|
01/18 | 4.2 The Inverse Transform and Derivatives | 5, 7, 11, 15, 17, 18, 23, 33, 34, 35, 38 |
3
|
01/23 | 4.3 Translation Theorems Quiz 1 | 3, 7, 11, 16, 19, 28, 44, 29, 49, 59, 60, 74 |
4
|
01/25 | 4.4 Additional Operational Properties | 3, 8, 11, 13, 14, 26, 31, 37, 41, 48, 67 |
5 | 01/30 | 4.5
Dirac Delta Function 4.6 Systems of Linear Differential Equations Quiz 2 |
4.5:
1, 3, 8, 10 4.6: 1, 3, 5, 7 |
6 | 02/01 | 7.6
Vector Spaces 8.1 Matrix Algebra |
7.6:
11, 13, 17, 27, 28 8.1: 13, 17, 42 |
7
|
02/06 | 8.2 Systems of Linear Algebraic Equations 8.3 Rank of a Matrix Quiz 3 |
8.2: 3, 10,
11, 15 8.3: 4, 7, 9, 13, 15, 17 |
8
|
02/08 | 8.4 Determinants 8.5 Properties of Determinants |
8.4: 15,
19, 21, 24, 27 8.5: 25, 26, 29 |
9
|
02/13 | 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
|
02/15 | Exam 1 (on topics covered in Lectures 1-8) | |
11 | 02/20 | 8.8: The Eigenvalue Problem | 3, 5, 13, 14, 21 |
12 | 02/22 | 7.7 Gram-Schmidt Process | 2, 3, 5, 9, 15, 17 |
13
|
02/27 | 8.10 Orthogonal Matrices Quiz 4 | 1, 5, 7, 13, 15, 16 |
14 | 02/29 | 8.12 Diagonalization | 3, 5, 13, 21, 27 |
15
|
03/05 | 12.1 Orthogonal Functions Quiz 5 | 1, 3, 5, 9, 11 |
16 | 03/07 | 12.2 Fourier Series | 1, 5, 9, 15 |
17
|
03/19 | 12.3 Fourier Sine and Cosine Series 12.4 Complex Fourier Series Quiz 6 |
12.3: 3, 5, 8, 13, 20,
23, 29, 36 12.4: 1, 3, 5, 6 |
18
|
03/21 | 3.9 Linear Models: BVPs 12.5 Sturm-Liouville Problem |
3.9:
11, 16 12.5: 1, 5 |
19 | 03/26 | 13.1 Separable Partial Differential Equations | 3, 9, 15, 17, 21, 23 |
20
|
03/28 | Exam 2 (on topics covered in Lectures 9-18) | |
21 | 04/02 | 13.2 Classical PDEs and BVPs 13.3 Heat Equation |
13.2:1, 3, 5, 7, 8,
11 13.3: 2, 5, 6 |
22
|
04/04 | 13.4 Wave Equation | 13.4: 1, 3, 5, 8 |
23 | 04/09 | 13.5 Laplace's Equation
Quiz 7 13.6 Nonhomogeneous BVPs |
13.5:
3, 4, 5, 15 13.6: 1, 3, 5, 9, 10, 11 |
24
|
04/11 | 13.7 Orthogonal Series Expansions | 1, 2, 3, 5, 7 |
25
|
04/16 | 13.8 Fourier Series in Two Variables Quiz 8 | 1, 3, 5 |
26
|
04/18 | 14.1 Laplace's Equation in Polar Coordinates | 1, 3, 7, 10 |
27
|
04/23 | 15.3 Fourier Integral | 1, 3, 7, 9 |
28 | 04/25 | Review for the Final Exam |