COURSE: Methods of Applied Mathematics I, M383C #59290, ------ MWF 10-11am, Fall 2008 TEXT: None ---- SYLLABUS: Roughly the first 3 groups of topics -------- (on Banach spaces, Hilbert spaces, Distributions) listed on the Preliminary Exam Syllabus in Applied Math INSTRUCTOR: H. Koch, Office Hours: MF 3:00-4:30, RLM 12.152, Tel: 471-8183, ---------- Email: koch@math.utexas.edu, Web: www.ma.utexas.edu/users/koch/ HOMEWORK: Homework will be assigned on Wednesdays, and collected one week -------- later in class. The homework counts 10% toward the class grade. EXAMS: There will be two in-class midterm exam on Friday October 3 ----- and Friday November 7, and a final on Friday December 12, 2-5 pm. The highest midterm grade, and the grade on the final contribute 45% each to the class grade. SOME REFERENCES: E. Kreyszig, Introductory Functional Analysis with Applications, John Wiley & Sons, 1978. J.B. Conway, A Course in Functional Analysis, Springer, 1990. W. Rudin, Functional Analysis, McGraw-Hill, 1973. M. Reed, B. Simon, Functional Analysis, Academic Press, 1980. K. Yosida, Functional Analysis, Springer, 1980. S. Lang, Real Analysis, Addison Wesley, 1983. H.L. Royden, Real Analysis, MacMillan, 1988. S. Lang, Real Analysis, Addison Wesley, 1983. J. Hunter, B. Nachtergaele, Applied Analysis, World Scientific, 2001. Online, 2005. T. Arbogast, J. Bona, Methods of Applied Mathematics, Course Notes, 2005. S. Serfati, Functional Analysis Notes, Course Notes, 2004. D.N. Arnold, Functional Analysis, Course Notes, 1997. P. Garrett, Functional Analysis, Course Notes, 1996-2008. W.W.L. Chen, Linear Functional Analysis, Course Notes, 1983-2001. V. Liskevich, Measure Theory, Course Notes, 1998.