Math 511, Introduction to Analysis II
Instructor: Matthew Blair
Email Address: blair ["at"] math.unm.edu
Course Web Page: http://www.math.unm.edu/~blair/math511_s13.html
Office: SMLC 330
Office Hours: TBD and by appointment.
We will only being covering Chapter 12 out of the Wade text, which will be made available on electronic reserves. The Bachman text is also available online by searching for it in LIBROS, the UNM online catalog. You will need to access LIBROS from the UNM network in order to read the PDFs.
1. Principles of Mathematical Analysis, 3rd Edition, by Walter Rudin
2. An Introduction to Analysis, 4th Edition, by William R. Wade
3. A Geometric Introduction to Differential Forms, 2nd Edition, by David Bachman
Meeting times/location: Tuesdays and Thursdays 2-3:15pm, location TBD.
Course Description: Continuation of 510. Differentiation in R^n. Inverse and implicit function theorems, integration in R^n, differential forms and Stokes theorem.
Assignment #1--Due Thursday, January 24
Assignment #2--Due Thursday, January 31
Exercises from Ch. 8, Rudin: 13, 15, 16, 19
Reading: Ch. 8 on Fourier Series, start Ch. 9
Assignment #3--Due Thursday, February 7
Assignment #4--Due Thursday, February 14
Assignment #5--Due Thursday, February 21
Assignment #6--Due Thursday, February 28
Assignment #7--Due Tuesday, March 26
Assignment #8--Due Thursday, April 4
Assignment #9--Due Thursday, April 18
Assignment #10--Due Thursday, April 25