
|
Date |
Sections of Text |
Topics |
|
Thursday, Aug. 24 |
1.1 - 1.2 |
Solutions and initial value problems |
|
Tuesday, Aug. 29 |
1.3 - 1.4 |
Direction fields, Euler approximation |
|
Thursday, Aug. 31 |
2.1 - 2.2 |
Separable equations |
|
Tuesday, Sep. 5 |
2.3 - 2.4 |
First-order linear equations, Exact equations |
|
Thursday, Sep. 7 |
pp. 34 - 36, 3.2, 3.4 |
Autonomous equations, phase line, applications, mechanics |
Tuesday, Sep. 12 |
4.1 - 4.2 |
Second-order linear equations, homogeneous equation: characteristic polynomial, real roots |
|
Thursday, Sep. 14 |
4.3 |
Homogeneous equation: complex roots |
|
Tuesday, Sep. 19 |
|
Review |
|
Thursday, Sep. 21 |
|
Test 1 |
|
Tuesday, Sep. 26 |
4.4 - 4.5 |
Undetermined coefficients, superposition principle |
|
Thursday, Sep. 28 |
4.8 - 4.9 |
Mechanical vibrations |
|
Tuesday, Oct. 3 |
Step functions, delta function, impulse response function, variation of parameters, transfer function, intro to Laplace transform | |
|
Thursday, Oct.5 |
7.1 - 7.2 |
Laplace transforms |
|
Tuesday, Oct. 10 |
7.3 - 7.4 |
Properties of Laplace transforms, inverse Laplace transforms |
|
Tuesday, Oct. 17 |
7.5 |
Solving initial value problems |
|
Thursday, Oct. 19 |
7.6 |
Discontinuous and periodic functions |
|
Tuesday, Oct. 24 |
7.7 - 7.8 |
Convolution and delta function |
|
Thursday, Oct. 26 |
|
Review |
|
Tuesday, Oct. 31 |
|
Test 2 |
|
Thursday, Nov. 2 |
9.1 - 9.2 |
Linear algebraic equations |
|
Tuesday, Nov. 7 |
9.3 - 9.4 |
Matrices and vectors, linear systems |
|
Thursday, Nov. 9 |
9.5 - 9.6 |
Characteristic polynomial, real eigenvalues, complex eigenvalues |
|
Tuesday, Nov. 14 |
5.4, 12.2 |
Geometry of linear systems |
|
Thursday, Nov. 16 |
5.5 |
Coupled mass-spring systems |
|
Tuesday, Nov. 21 |
9.7, 12.1 |
Nonhomogeneous linear systems, phase plane for nonlinear systems |
|
Tuesday, Nov. 28 |
|
Review |
|
Thursday, Nov. 30 |
|
Test 3 |
|
Tuesday, Dec. 5 |
12.3 - 12.4 |
Linearization, energy methods |
|
Thursday, Dec. 7 |
|
Review |