Catalogue Description: Formulation and solution of partial differential equations of mathematical physics; Fourier series and transform methods, complex variable methods, methods of characteristics and first order equations. Prerequisite: MATH 308 or MATH 451.
Time & Place: MTWRF 10:00 a.m.-11:35 a.m., BLOC 164.
Required Text: Richard Haberman, Applied Partial Differential Equations, 4th Ed., Prentice Hall, Upper Saddle River, NJ, 2004. ISBN: 0-130652431.
Syllabus: The course covers most of chapters 1-5 and 7, and selected sections from chapters 10 & 12. For a schedule, which may change due to contingencies and unforseen circumstances, see the table below.
Grading System: Your grade will be based on two in-class tests, homework, and a final examination. Each in-class test will count for 25% of your grade, the homework for 20%, and the final examination will count for the remaining 30%. Your letter grade will be assigned this way: 90-100%, A; 80-89%, B; 70-79%, C; 60-69%, D; 59% or less, F.
Make-up Policy: I will give make-ups (or satisfactory equivalents) only in cases authorized under TAMU Regulations. In borderline cases, I will decide whether or not the excuse is authorized. Also, if you miss a test, quiz, or cannot turn in a homework, contact me at fnarc@math.tamu.edu soon as possible. Normally, this is the next business day, unless there are extenuating circumstances.
Homework Assignments: I will assign and collect homework about twice per week. Late homework will be accepted (or excused completely) only for legitimate reasons, and may be penalized if circumstances warrant.
Copying Course Materials: ``All printed hand-outs and web-materials are protected by US Copyright Laws. No multiple copies can be made without written permission by the instructor.''
Americans with Disabilities Act Policy Statement: "The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe that you have a disability requiring an accommodation, please contact the Department of Student Life, Services for Students with Disabilities, in Room 126 of the Koldus Building or call 845-1637."
Schedule
| Date | Section | Topic | |
|---|---|---|---|
| 7/6/11 | 1.1-1.5 | Heat equation -- derivation | |
| 7/7/11 | 2.1-2.3.5 | Separation of variables & heat equation in bar | |
| 7/8/11 | 2.3.6, 2.3.7, 2.4.2 | Heat equation in a ring | |
| 7/11/11 | 2.5 | Laplace's equation | |
| 7/12/11 | 3.1-3.3 | Fourier series | |
| 7/13/11 | 3.3-3.4 | Operations on Fourier series | |
| 7/14/11 | 3.5-3.6 | Complex form of a Fourier series | |
| 7/15/11 | 4.2-4.4, 12.3 | Wave equation & D'Alembert's solution | |
| 7/18/11 | 5.1-5.3, review | Sturm-Liouville eigenvalue problems | |
| 7/19/11 | N/A | Test 1 | |
| 7/20/11 | 5.3-5.6 | Sturm-Liouville problems — properties | |
| 7/21/11 | 5.7-5.8 | Examples | |
| 7/22/11 | 5.8, 5.10, 7.1-7.2 | Approximation properties of orthogonal series; higher dimensional problems | |
| 7/25/11 | 7.3-7.5, 7.7.1-7.7.2 | Vibrations in membranes | |
| 7/26/11 | 7.7.3-7.8 | Vibrations in a circular membrane; Bessel functions | |
| 7/27/11 | 7.8, 7.10 | Bessel functions; spherical domains | |
| 7/28/11 | 7.10 | spherical domains; review | |
| 7/29/11 | N/A | Test 2 | |
| 8/1/11 | 10.1-10.3 | Infinite domains & Fourier transform | |
| 8/2/11 | 10.4, 10.6.1, 10.6.3 | Fourier transforms; wave equation and Laplace's equation | |
| 8/3/11 | 10.6.3 | Properties of the Laplace Transform | |
| 8/4/11 | 10.7 | Scattering | |
| 8/5/11 | 10.7 | Scattering, catch up | |
| 8/8/11 | N/A | Review | |
| 8/9/11 | N/A | No class | |
| 8/10/11 | N/A | Final exam (10:30 a.m.-12:30 p.m.) |
Updated: July 5, 2011 (fjn)