Analysis for Applications I

Instructor: Dr. Francis J. Narcowich

Office: 611D Blocker

E-mail: f-narcowich@tamu.edu

Phone: 979-845-7554 (Message only.)

URL: http://www.math.tamu.edu/~francis.narcowich/

Office Hours: TBA, and by appointment

Catalog Description: MATH 641. Analysis for Applications I. Review of preliminary concepts; sequence and function spaces; normed linear spaces, inner product spaces; spectral theory for compact operators; fixed point theorems; applications to integral equations and the calculus of variations. Prerequisites: MATH 447, 640, or approval of instructor.

Required Text: James P. Keener, Principles of Applied Mathematics: Transformation and Approximation, second (revised) edition CRC Press, Boca Raton, FL, 2000. Note: Thanks to the support of Texas A&M University Libraries, you can access a pdf version of the text for free: Free pdf version of the text.

Time and Place: MWF 10:20-11:10 am; Place, BLOC 624

Topics: The course will cover selected sections in chapter 1, and most of chapters 2-4.

Grading System & Tests: Your grade will be based a mid-term (Wednesday, 10/9/2024), a final exam (Monday, 12/9/2024), and homework. The mid-term will count for 40% of your grade, the homework for 20%, and the final examination will count for the remaining 40%. 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.

Academic Integrity

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."

Aggie Honor Code:   "An Aggie does not lie, cheat, or steal or tolerate those who do."

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Updated 8/21/2023 (fjn).