|
Date |
Sections of Text |
Topics |
|
Tuesday, Jan. 11 |
1.1 - 1.2 |
Solutions and initial value problems |
|
Thursday, Jan. 13 |
1.3 - 1.4 |
Direction fields, Euler approximation |
|
Tuesday, Jan. 18 |
2.1 - 2.2 |
Separable equations |
|
Thursday, Jan. 20 |
2.3 - 2.4 |
First-order linear equations, exact equations |
|
Tuesday, Jan. 25 |
pp. 34 - 36 |
Autonomous equations, phase line |
|
Thursday, Jan. 27 |
3.2, 3.4 |
Compartmental analysis, Newtonian mechanics |
|
Tuesday, Feb. 1 |
4.1 - 4.2 |
Second-order linear equations; homogeneous equation: real roots |
|
Thursday, Feb. 3 |
4.3 |
Homogeneous equation: complex roots, Review |
|
Tuesday, Feb. 8 |
9.2 |
Linear algebraic equations, Test 1 |
|
Thursday, Feb. 10 |
4.4 |
Undetermined coefficients |
|
Tuesday, Feb. 15 |
4.5 - 4.6 |
Superposition principle, variation of parameters |
|
Thursday, Feb. 17 |
4.9 - 4.10 |
Mechanical vibrations |
|
Tuesday, Feb. 22 |
7.1 - 7.2 |
Laplace transforms |
|
Thursday, Feb. 24 |
7.3 |
Properties of Laplace transforms |
|
Tuesday, Mar. 1 |
7.4 - 7.5 |
Inverse Laplace transforms, solving initial value problems |
|
Thursday, Mar. 3 |
7.6 |
Discontinuous functions |
|
Tuesday, Mar. 15 |
7.7 - 7.8 |
Convolution, delta function |
|
Thursday, Mar. 17 |
9.3 |
Matrices and vectors, Review |
|
Tuesday, Mar. 22 |
9.3 |
Matrices and vectors, Test 2 |
|
Thursday, Mar. 24 |
9.1, 9.4 |
Linear systems of differential equations |
|
Tuesday, Mar. 29 |
9.5 |
Real eigenvalues |
|
Thursday, Mar. 31 |
9.6, 5.6 |
Complex eigenvalues, coupled mass-spring systems |
|
Tuesday, Apr. 5 |
9.7 |
Nonhomogeneous linear systems |
|
Thursday, Apr. 7 |
5.4 |
Geometry of linear systems |
|
Tuesday, Apr. 12 |
12.2 |
Geometry of linear systems (continued), Review |
|
Thursday, Apr. 14 |
12.1 |
Phase plane for nonlinear systems, Test 3 |
|
Tuesday, Apr. 19 |
12.3 |
Linearization |
|
Tuesday, Apr. 26 |
12.4 |
Energy methods |
|
Thursday, Apr. 28 |
|
Review |
-
The final exam is Thursday, May 5, 1:00 - 4:00 p.m., in the usual room.
Instructor's home page