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 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 Mid-Semester 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 |
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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 23--25 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
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The Final Exam will be given on Monday 12 December, from 8:30-11:30am, in PH 100. Take this into account when making your travel plans. Here are some review problems. |