| 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 |
| 06/05 |
4.1: 1, 5*, 7*,
13*, 23*, 35 4.2: 7*, 11*, 23*, 31, 35*, 39 4.3: 3*, 7, 9*, 11, 15*, 19*, 37*, 41*, 45*, 47, 49-54, 67* 4.4: 3, 7*, 11, 13, 19, 27, 33*, 37*, 39 |
| 06/12 |
4.5: 1, 3, 9* 4.6: 1*, 7, 9*, 11 7.6: 7*, (11-16)*, 22*, 26*, 27* 8.1: 17*, 23*, 29*, 35*, 37* |
| 06/19 |
8.2: 5*, 9*,
11*, 37* 8.3: 9*, 13*, 15* |
| 06/26 |
8.3: 17*, 19* 8.4: 19*, 21*, 25*, 27* 8.5: 5, 11*, 13*, 23*, 31, 33 8.6: 7*, 25*, 27*, 31, 51*, 53* 8.7: 1, 9* |
| 07/03 |
8.8: 5*, 13*,
19* 8.10: 7*, 13*, 15* 8.12: 5*, 13*, 15*, 23* |
| 07/10 |
NO HOMEWORK |
| 07/17 |
12.1: 3*, 5,
7*, 17 12.2: 1, 5*, 9*, 15*, 17*, 21 12.3: 3*, 5, 7*, 13, 19, 23, 29*, 35 12.5: 1* |
| 07/19 |
NO HOMEWORK but
here are some recommended problems to work on: 13.1: 3*, 11, 15* 13.2: 1, 3, 5, 9 13.3: 1*, 3, 4 13.4: 1*, 3, 5, 14, 15, 18 |
Please note: This syllabus, and the midterm exam dates,
are approximate; our mileage will vary.
| # |
Date |
Reading |
Topics |
| 1 |
05/29 |
4.1, 4.2 |
Laplace
Transform, Inverse, Transform of Derivatives |
| 2 |
05/31 |
4.3, 4.4 |
Translation
Theorems, Additional Operational Properties |
| 3 |
06/05 |
4.5, 4.6, 7.6,
8.1 |
Dirac Delta
Function, Systems of
Linear Differential Equations, Vector Spaces. Matrix Algebra |
| 4 |
06/07 |
7.6, 8.1 |
Vector Spaces,
Matrix Algebra |
| 5 |
06/12 |
8.1, 8.2, 8.3 |
Matrix Algebra,
Systems of
Linear Algebraic Equations, Rank of a Matrix |
| 6 |
06/14 |
Midterm Exam 1: #1-4 and some of #5 |
|
| 7 |
06/19 |
8.3, 8.4, 8.5 |
Rank of a Matrix, Determinants, Properties of Determinants |
| 8 |
06/21 |
8.6, 8.7 |
Inverse of a
Matrix, Cramer's Rule |
| 9 |
06/26 |
8.7, 8.8,
8.10 |
Cramer's Rule,
The Eigenvalue
Problem, Orthogonal Matrices |
| 10 |
06/28 |
8.10, 8.12 |
Orthogonal
Matrices, Diagonalization |
| 11 |
07/03 |
NO CLASS. We
will re-schedule. |
|
| 12 |
07/05 |
Midterm Exam 2: #5, #7-10 |
|
| 13 |
07/10 |
12.1, 12.2 |
Orthogonal
Functions, Fourier Series |
| 14 |
07/12 |
12.2, 12.3, 12.5 |
Fourier Series,
Fourier Sine and Cosine Series, Sturm-Liouville
Problem |
| 15 |
07/17 |
13.1, 13.2,
13.3, 13.4, 13.5 |
Separable
Partial Differential Equations, Classical
Equations and Boundary-Value Problems, Heat Equation, Wave Equation |
| FINAL EXAM (entire course): July 19, 6:00 - 8:45 pm | |||