COURSE: Methods of Applied Mathematics I, M383C #53215 ------ MWF 10:00-11:00 am, Fall 2019 TEXT: None ---- SYLLABUS: Roughly the first 3 groups of topics -------- (on Banach spaces, Hilbert spaces, Distributions) listed on the Applied Math. Course Syllabus INSTRUCTOR: Hans Koch, Office Hours: Tue Wed Fri 3:00-4:00, RLM 12.152. ---------- 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 Wednesday October 2 and ----- Friday November 1, and a final on Friday December 13, 9:00 am-12:00 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. T. Arbogast, J. Bona, Methods of Applied Mathematics, Course Notes, 2008. MORE REFERENCES: here and here.