|
Date |
Sections of Text |
Topics |
|
Monday, Jan. 9 |
1.1 - 1.2 |
Solutions and initial value problems |
|
Wednesday, Jan. 11 |
1.3 |
Direction fields |
|
Friday, Jan. 13 |
1.4 |
Euler approximation |
|
Wednesday, Jan. 18 |
2.1 - 2.2 |
Separable equations |
|
Friday, Jan. 20 |
2.3 |
First-order linear equations |
|
Monday, Jan. 23 |
2.4 |
Exact equations |
|
Wednesday, Jan. 25 |
pp. 34 - 36, 3.2 |
Autonomous equations, phase line, applications |
|
Friday, Jan. 27 |
3.4 |
Mechanics |
Monday, Jan. 30 |
4.1 |
Spring-mass oscillator and second-order linear equations |
|
Wednesday, Feb. 1 |
4.2 |
Homogeneous equation: characteristic polynomial, real roots |
|
Friday, Feb. 3 |
4.3 |
Homogeneous equation: complex roots |
|
Monday, Feb. 6 |
|
Review |
|
Wednesday, Feb. 8 |
|
Test 1 |
|
Friday, Feb. 10 |
4.4 |
Undetermined coefficients |
|
Monday, Feb. 13 |
4.5 |
Superposition principle |
|
Wednesday, Feb. 15 |
4.8 - 4.9 |
Mechanical vibrations |
|
Friday, Feb. 17 |
Step functions, delta function, impulse response function | |
|
Monday, Feb. 20 |
Variation of parameters, transfer function, intro to Laplace transform | |
|
Wednesday, Feb. 22 |
7.1 - 7.2 |
Laplace transforms |
|
Friday, Feb. 24 |
7.3 |
Properties of Laplace transforms |
|
Monday, Feb. 27 |
7.4 |
Inverse Laplace transforms |
|
Wednesday, Mar. 1 |
7.5 |
Solving initial value problems |
|
Friday, Mar. 3 |
7.6 |
Discontinuous and periodic functions |
Monday, Mar. 13 |
7.6 |
Discontinuous and periodic functions |
|
Wednesday, Mar. 15 |
7.7 - 7.8 |
Convolution and delta function |
|
Friday, Mar. 17 |
|
Review |
|
Monday, Mar. 20 |
|
Test 2 |
|
Wednesday, Mar. 22 |
9.1 - 9.2 |
Linear algebraic equations |
|
Friday, Mar. 24 |
9.3 |
Matrices and vectors |
|
Monday, Mar. 27 |
9.4 |
Linear systems in normal form |
|
Wednesday, Mar. 29 |
9.5 |
Characteristic polynomial, real eigenvalues |
|
Friday, Mar. 31 |
9.6 |
Complex eigenvalues |
|
Monday, Apr. 3 |
5.4, 12.2 |
Geometry of linear systems |
|
Wednesday, Apr. 5 |
5.4, 12.2 |
Geometry of linear systems |
|
Friday, Apr. 7 |
5.5 |
Coupled mass-spring systems |
|
Monday, Apr. 10 |
9.7 |
Nonhomogeneous linear systems |
|
Wednesday, Apr. 12 |
12.1 |
Phase plane for nonlinear systems |
|
Monday, Apr. 17 |
|
Review |
|
Wednesday, Apr. 19 |
|
Test 3 |
|
Friday, Apr. 21 |
12.3 |
Linearization |
|
Monday, Apr. 24 |
12.4 |
Energy methods |
|
Wednesday, Apr. 26 |
|
Review |
|
Friday, Apr. 28 |
|
Review |
-
The final exam is Friday, May 5, 8:00 - 11:00 a.m., in the usual room.
Instructor's home page