| Midterm Exam #1 |
100
pts |
| Midterm Exam #2 |
100
pts |
| Homework |
075
pts |
| Quizzes |
075
pts |
| Final Exam |
150
pts |
| Total |
500
pts |
Disclaimer: The information here is tentative and subject to change or confirmation by announcement in class
Hand in exercises marked here with *
Write out your answers
neatly in complete English sentences and explain your reasoning
| Date |
Problems |
| 06/03 |
4.1: 3, 5, 9*,
17*, 29*, 35, 43* 4.2: 3*, 15*, 19*, 33, 37*, 39, 44* 4.3: 3, 7*, 9, 13*, 17*, 27, 33*, 39*, 41*, 45, 47*, 49-54, 65* |
| 06/10 |
4.4: 1, 7*,
11*,
17, 18*, 19, 25*, 37, 39*, 59 4.5: 1, 3, 7* 4.6: 1, 3*, 5, 7* 7.6: 1*, 2*, 3*, 6*, 7* |
| 06/17 |
7.6: 9,
(11-16)*,
21, 27*, 35* 8.1: 11*, 19*, 29* |
| 06/24 |
8.1: 23, 35*,
36*, 37* 8.2: 5*, 9*, 11*, 37 8.3: 9*, 11, 13*, 17* 8.4: 17, 21, 25*, 27 8.5: 5, 11, 13, 15*, 21*, 23*, 29*, 33, 37* |
| 07/01 |
8.6: 3, 9*,
19*, 23*, 25, 27, 29*, 31*, 51*, 53 8.7: 5, 7* 8.8: 5*, 9, 11*, 15*, 17*, 19 8.10: 7*, 9, 11*, 17 |
| 07/08 |
8.12: 3, 7*,
11*, 15*, 25* 12.1: 3, 5*, 7*, 17 |
| 07/15 |
12.2: 1*, 5,
7*, 9*, 15*, 17, 19*, 21 12.3: 3, 5, 7*, 13, 19, 23, 27*, 29*, 35 13.1: 3, 5*, 9*, 11, 15* 13.3: 1*, 3*, 4* |
Please note: This syllabus, and the midterm exam dates,
are approximate; our mileage will vary.
| # |
Date |
Reading |
Topics |
| 1 |
05/27 |
4.1,
4.2 |
Laplace
Transform, Inverse, Transform of Derivatives |
| 2 |
05/29 |
4.2,
4.3 |
Transform of
Derivatives, Translation
Theorems |
| 3 |
06/03 |
4.3,
4.4, 4.5 |
Translation
Theorems, Additional
Operational Properties, Dirac Delta
Function |
| 4 |
06/05 |
4.5,
4.6,
7.6 |
Dirac Delta
Function, Systems of
Linear Differential Equations, Vector Spaces |
| 5 |
06/10 |
7.6 |
Vector Spaces |
| 6 |
06/12 |
8.1; Midterm | Matrix Algebra; Midterm: #1-4 and some of #5 |
| 7 |
06/17 |
8.1,
8.2,
8.3 |
Matrix algebra, Systems of Linear Algebraic Equations, Rank of a Matrix |
| 8 |
06/19 |
8.3,
8.4,
8.5 |
Rank of a
Matrix, Determinants,
Properties of Determinants |
| 9 |
06/24 |
8.6, 8.7, 8.8 | Inverse of a Matrix, Cramer's Rule, The Eigenvalue Problem |
| 10 |
06/26 |
8.8,
8.10 |
The Eigenvalue
Problem, Orthogonal
Matrices |
| 11 |
07/01 |
8.12,
12.1 |
Diagonalization, Orthogonal Functions |
| 12 |
07/03 |
12.1,
12.2; Midterm |
Orthogonal Functions, Fourier Series; Midterm: some of #5, #6-10, some of #11 |
| 13 |
07/08 |
12.2, 12.3, 13.1 | Fourier Series, Fourier Sine and Cosine Series, Separable Partial Differential Equations |
| 14 |
07/10 |
13.2,
13.3 |
Classical Equations and Boundary-Value Problems, Heat Equation |
| 15 |
07/15 |
13.3,
13.4 |
Heat Equation,
Wave Equation |
| FINAL EXAM (entire course): July 17, 6:00 - 8:30 pm | |||