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
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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.
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Week #2:
Sep 1 - 5
Homework
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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.
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Week #3:
Sep 8 - 12
Homework
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2.4. Differences between Liner and Nonlinear Equations.
2.7. Numerical Approximations: Euler's Method.
3.1. Homogeneous Equations with Constant Coefficients.
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Week #4:
Sep 15 - 19
Homework
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3.2. Fundamental Solutions of Linear Homogeneous Equations.
6.1. Defenition of the Laplace Transform.
6.2. Solution of Initial Value Problems.
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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.
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Week #6:
Sep 29 - Oct 3
Homework
|
3.6. Nonhomogeneous Equations; Method of Undetermined Coefficients.
3.9. Forced Vibrations.
6.3. Step Functions.
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Week #7:
Oct 6 - 10
Homework
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6.4. Differential Equations with Discontinuous Forcing Functions.
6.5. Impulse Functions.
6.6. The Convolution Integral.
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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.
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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 Monday 20 October Wednesday 22 October.
Here are some review problems.
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Week #10:
Oct 27 - 31
Homework
|
7.2. Review of Matrices.
7.3. Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors.
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Week #11:
Nov 3 - 7
Homework
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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.
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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.
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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.
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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.
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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.
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Final Exam
December 8
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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.
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