Week #1:
Aug 29  Sep 2
Homework

1.1 Some Basic Mathematical Models; Direction Fields.
1.3. Classification of Differential Equations.
2.2. Seperable Equations.
2.1. Linear Equations with Variable Coefficients.

Week #2:
Sep 5  9
Homework

2.3. Modeling with First Order Equations.
2.5. Autonomous Equations and Population Dynamics.
Administrative Note: Monday 5 September is Labor Day.
Class will not meet.

Week #3:
Sep 12  16
Homework

2.4. Differences between Liner and Nonlinear Equations.
2.7. Numerical Approximations: Euler's Method.
7.1. Introduction (to Systems of First Order Equations).

Week #4:
Sep 19  23
Homework

7.2. Review of Matrices.
7.3. Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors.
7.4. Basic Theory of Systems of First Order Linear Equations.

Week #5:
Sep 26  30
Homework

7.5. Homogeneous Linear Systems with Constant Coefficients.
7.6. Complex Eigenvalues.
Exam #1 will be given on Wednesday 28 September.
The exam will be held during your regular class time.
Here are some review problems.

Week #6:
Oct 3  7
Homework

7.8. Repeted Eigenvalues.
9.1. The Phase Plane; Linear Systems.
9.2. Autonomous Systems and Stability.

Week #7:
Oct 10  14
Homework

9.3. Almost Linear Systems.
3.1. Homogeneous Equations with Constant Coefficients.
3.4. Complex Roots of the Characteristic Equation.

Week #8:
Oct 17  21
Homework

3.5. Repeated Roots; Reduction of Order.
3.2. Fundamental Solutions of Linear Homogeneous Equations.
Administrative note: Friday 21 October is the MidSemester Break.
Class will not meet.

Week #9:
Oct 24  28
Homework

3.8. Mechanical and Electrical Vibrations
3.6. Nonhomogeneous Equations; Method of Undetermined Coefficients.
Exam #2 will be given on Wednesday 26 October.
Here are some review problems.

Week #10:
Oct 31  Nov 4
Homework

3.9. Forced Vibrations.
6.1. Defenition of the Laplace Transform.
6.2. Solution of Initial Value Problems.

Week #11:
Nov 7  11
Homework

6.3. Step Functions.
6.4. Differential Equations with Discontinuous Forcing Functions.
6.5. Impulse Functions.
Administrative Note: Monday 3 November is the Course Drop and Pass/Fail
grade option deadline. Grade of "W" is assigned after this date.

Week #12:
Nov 14  18
Homework

6.6. The Convolution Integral.
10.2. Fourier Series.
10.3. The Fourier Convergence Theorem.

Week #13:
Nov 21  25
Homework

.
Administrative Note: November 17  21 is Spring 2004 Registration Week.
Exam #3 will be given on Monday 21 November.
Here is a study guide. More items may be added,
so check back.
Administrative Note: November 2325 is the Thanksgiving Holiday. Class
will not meet on these days.

Week #14:
Nov 28  Dec 2
Homework

10.4. Even and Odd Functions.
Chapter 10, Appendix A. Derivation of the Heat Equations
10.5. Heat Conduction in a Rod.

Week #15:
Dec 5  9
Homework

10.1. Two Point Boundary Value Problems.
10.6. Other Heat Conduction Problems.
10.7. The Wave Equation; Vibrations of an Elastic String.
Administrative note: Friday 9 December is the last day of class.
Friday 9 December is also the course drop deadline to receive a "W" grade.

Final Exam

The Final Exam will be given on Monday 12
December, from 8:3011:30am, in PH 100. Take this into account
when making your travel plans.
Here are some
review problems.
