This schedule is tentative. It will get more accurate as the semester progresses. No week's topics should be taken as final until the homework is linked.
Week #1:
Aug 25 - 29 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 1 - 5 Homework |
2.3. Modeling with First Order Equations.
2.5. Autonomous Equations and Population Dynamics. Administrative Note: Monday 1 September is Labor Day. Class will not meet. |
Week #3:
Sep 8 - 12 Homework |
2.4. Differences between Liner and Nonlinear Equations.
2.7. Numerical Approximations: Euler's Method. 3.1. Homogeneous Equations with Constant Coefficients. |
Week #4:
Sep 15 - 19 Homework |
3.2. Fundamental Solutions of Linear Homogeneous Equations.
6.1. Defenition of the Laplace Transform. 6.2. Solution of Initial Value Problems. |
Week #5:
Sep 22 - 26 Homework |
General Solutions to Second-Order, Linear, Homogeneous Equations
with Constant Coefficients.
3.8. Mechanical and Electrical Vibrations Exam #1 will be given on Monday 22 September. The exam will be held during your regular class time. Here are some review problems. |
Week #6:
Sep 29 - Oct 3 Homework |
3.6. Nonhomogeneous Equations; Method of Undetermined Coefficients.
3.9. Forced Vibrations. 6.3. Step Functions. |
Week #7:
Oct 6 - 10 Homework |
6.4. Differential Equations with Discontinuous Forcing Functions.
6.5. Impulse Functions. 6.6. The Convolution Integral. |
Week #8:
Oct 13 - 17 Homework |
10.2. Fourier Series.
10.3. The Fourier Convergence Theorem. Administrative note: Friday 17 October is the Mid-Semester Break. Class will not meet. |
Week #9:
Oct 20 - 24 Homework |
10.4. Even and Odd Functions.
7.1. Introduction (to Systems of First Order Equations). Exam #2 will be given on |
Week #10:
Oct 27 - 31 Homework |
7.2. Review of Matrices.
7.3. Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors. |
Week #11:
Nov 3 - 7 Homework |
7.3. Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors.
7.4. Basic Theory of Systems of First Order Linear Equations. 7.5. Homogeneous Linear Systems with Constant Coefficients. 7.6. Complex Eigenvalues. 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 10 - 14 Homework |
7.8. Repeted Eigenvalues.
Linear First order Systems and Second Order Equations. 9.1. The Phase Plane; Linear Systems. |
Week #13:
Nov 17 - 21 Homework |
Chapter 10, Appendix A. Derivation of the Heat Equations
10.5. Heat Conduction in a Rod. Administrative Note: November 17 - 21 is Spring 2004 Registration Week. Exam #3 will be given on Monday 17 November. Here is a study guide. More items may be added, so check back. |
Week #14:
Nov 24 - 28 Homework |
10.1. Two Point Boundary Value Problems.
Administrative Note: November 26 - 28 is the Thanksgiving Holiday. Class will not meet on these days. |
Week #15:
Dec 1 - 5 Homework |
10.6. Other Heat Conduction Problems.
10.7. The Wave Equation; Vibrations of an Elastic String. . Administrative note: Friday 5 December is the last day of class. Friday 5 December is also the course drop deadline to receive a "W" grade. |
Final Exam
December 8 |
The Final Exam will be given on Monday 8 December, from 8:30-11:30am, in PH 100. When making your travel plans, you should make sure there is no need for you to leave before then. Here are some review problems. |