Math 510, Introduction to Analysis I
Fall 2015
General Information
Instructor: Matthew Blair
Email Address: blair ["at"] math.unm.edu
Course Web Page: http://www.math.unm.edu/~blair/math510f15.html
Office: SMLC 330
Office Hours: Wednesdays 11am-Noon, 2:30-4:30pm, and by appointment.
Text: Principles of Mathematical Analysis, Third Edition, by Walter Rudin.
Meeting times/location: MWF 9-9:50 in Mitchell 202.
Course Description: Real number fields, sets and mappings. Basic point set topology, sequences, series, convergence issues. Continuous functions, differentiation, Riemann integral. General topology and applications: Weierstrass and Stone-Weierstrass approximation theorems. This should correspond to Chapters 1-7 in Rudin.
Homework
Assignment #1--Due Friday, August 28
See handout
Assignment #2--Due Friday, September 4
See handout
Assignment #3--Due Friday, September 11
Part I: Rudin, Ch. 2: 7, 10, 12, 15
Part II: Rudin, Ch. 2: 9
Reading: Rudin, Ch. 2
Not collected: Rudin, Ch. 2: 14, 22
Note: Hand in parts I and II separately.
Assignment #4--Due Friday, September 18
See handout
Assignment #5--Due Friday, September 25
See handout
Assignment #6--Due Friday, October 2
See handout
Assignment #7--Due Friday, October 23
See handout
Assignment #8--Due Friday, October 30
See handout
Assignment #9--Due Friday, November 6
See handout
Assignment #10--Due Friday, November 13
See handout
Assignment #11--Due Wednesday, November 25
See handout