MATH 3353

Methods of Applied Mathematics

Spring 2003

Instructor: Dr. Scott Gordon, 324 Boyd, 836-4354.

E-mail: Office:, home: lsa­

Time and Location: T 11:00-12:15,F 2:00-3:15,302 Boyd.

Office Hours:  


1:00 – 4:00*


1:30 – 4:00


11:00 – 12:00, 1:00 – 3:30


11:00 – 12:00

        (*1:30-3:30 in 302 Boyd)

If you would like to see me but cannot come during one of these times, please call first or make an appointment.

Textbook: Advanced Engineering Mathematics, by Peter V. O'Neil, Fourth Edition. We will cover Chapters

3,6, 14-16.

Course Description: The Laplace transform with applications to initial value problems; Sturm-Liouville Theory and eigenfunction expansions; solutions of boundary value problems using separation of variables, fourier series and transform methods.

Homework Exercises: I will assign homework exercises after each section. These problems will not be graded, and are chosen to prepare you for the tests. I encourage you to use my office hours if you have any questions about them.

Turn-in Problems: I will assign approximately one problem per week to be turned in for a grade. There will be 15 such problems worth 10 points each. You are not to collaborate or discuss the problems with anyone but me, and any outside sources of information used must be properly credited (See Academic Dishonesty Policy).

Tests: There will be a take-home test every third Friday, five in all, worth 60 points each. The tests will be due following Wednesday. The same rules apply regarding collaboration and sources as for the problem sets.

Grading Scale: A: 86-100, B: 72-85, C: 58-71, D: 44-57, F: 0-43.

Grading: Your final grade will be determined as follows: Problem Sets -33%, Tests -67%.

Withdrawal: February 27 is the last day to withdraw from the course with a grade of W.

Academic Dishonesty Policy: Any student who engages in any form of academic dishonesty will receive

an F for the course. The incident will also be reported to the Office of Student Affairs so that they can determine if further disciplinary action is warranted. Academic dishonesty is defined as giving or receiving assistance on, a test 0£ problem set from anyone other than myself, or using any unauthorized source of information on a test or problem set without properly crediting that source.

Learning Outcomes: The student will be able to:

1. Use the Laplace transform and Fourier transform to solve initial value problems and boundary problems for linear partial differential equations. (L4, L8)

2. Use separation of variables and fourier series to solve boundary problems for linear partial differential equations. (L4, L8)

3. Use separation of variables, Sturm-Liouville Theory, and eigenfunction expansions to solve boundary problems for linear partial differential equations. (L4, L8)