Catalogue Description:
MATH 401. Advanced Engineering Mathematics. Engineering mathematics including perturbation theory, Fourier series and partial differential equations. Designed primarily for engineering majors. Others must have consent of instructor. Prerequisite: MATH 308 (Differential Equations).Required Texts:
Time & Place: Section 501, TR 9:35 am - 10:50 am, RICH 114; Section 502, TR 12:45 pm - 2:00 pm, RICH ARCC 207.
Grading System & Tests: Your grade will be based on homework and two in-class tests ( March 7 & April 23). In addition, there will be an optional final exam that can replace the lower of the scores on the two tests. The homework will count for 14% of your grade and each in-class test for 43%. 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, contact me as soon as possible.
Homework: You may consult with each other on homework problem sets, BUT only submit work which is in your own words. Late homework will not be accepted. If, for a legitimate reason, an assignment is missed, it will be dropped from the homework grade. No make-ups will be given.
Academic Integrity
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 Disability Services, in Room 126 of Cain Hall, or call 845-1637. For additional information, visit http://disability.tamu.edu."
Tentative Schedule
C=Costanda, F=Fulling's notes, S=Simmonds and Mann
Date | Section | Topic |
---|---|---|
1/15/13 | F3-10 | Perturbation theory basic ideas |
1/17/13 | F11-17, S29-31 | Perturbation of algebraic equations |
1/22/13 | F18-23 | Regular perturbations of ODEs |
1/24/13 | F23-25, S6-8, 11 | Big "O", little "o", and asymptotic approximation |
1/29/13 | F25-31, S39-44 | Asymptotics and uniformity |
1/31/13 | Class notes | Stirling's formula for n!, n large |
2/5/13 | F32-36, S61-65 | Uniform asymptotic approximations & ODEs |
2/7/13 | F36-40, S66-67 | Two time scales |
2/12/13 | F41-44, S71-74 | WKB approximation |
2/14/13 | F45-50 | WKB approximation, cont. |
2/19/13 | F51-56 | Boundary-layer problems |
2/21/13 | S101-105 | Matched asymptotic expansions |
2/26/13 | C11-16 | Fourier series |
2/28/13 | Class notes, C17-23 | Complex Fourier series, sine series, cosine series |
3/5/13 | | Catch up, review |
3/7/13 | | Test 1 |
3/11/13 - 3/15/13 | | Spring Break |
3/19/13 | C23-24, class notes | Operations on FS, convergence of FS |
3/21/13 | C83-88 | Heat equation & separation of variables |
3/26/13 | C91, 95-99 | Heat equation & wave equation |
3/28/13 | C105-109, C165-167 | Laplace's equation & the Fourier transform |
3/29/13 | | Good Friday/Reading day |
4/2/13 | C167-172 | Heat & wave equations on −∞ < x < ∞ |
4/4/13 | C27-33 | Sturm-Liouville problems |
4/16/13 | C41-C46 | Bessel functions |
4/18/13 | | Catch up, review |
4/23/13 | | Test 2 |
4/25/13 | | Finish up |
Updated 1/14/2013.
© F. J. Narcowich, 2013.