Math 510, Introduction to Analysis I
Fall 2013
General Information
Instructor: Matthew Blair
Email Address: blair ["at"] math.unm.edu
Course Web Page: http://www.math.unm.edu/~blair/math510_f13.html
Office: SMLC 330
Office Hours: 2-3pm on Tuesdays and 11am-Noon on Thursdays. Also by appointment.
Text: Principles of Mathematical Analysis, Third Edition, by Walter Rudin.
Meeting times/location: Tuesdays and Thursdays 9:30-10:45am in SMLC 352.
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 corresponds to Chapters 1-7 in Rudin.
Announcements
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Homework
Assignment #1--Due Thursday, August 29
Exercises: Rudin, Ch. 1--5,6,9,15
Reading: Ch. 1, start Ch. 2
Not collected: 1,3,7,8,13
Assignment #2--Due Thursday, September 5
See handout
Assignment #3--Due Thursday, September 12
Part I: Rudin, Ch. 2: 7, 9
Part II: Rudin, Ch. 2: 10, 12, 22
Reading: Rudin, Ch. 2
Not collected: Rudin, Ch. 2: 14, 15
Assignment #4--Due Thursday, September 19
See handout
Assignment #5--Due Thursday, September 26
Part I: Rudin, Ch. 3: 21, 22
Part II: Rudin, Ch. 3: 2, 23
Not collected: Rudin, Ch. 3: 1, 3
Assignment #6--Due Thursday, October 3
See handout
Assignment #7--Due Thursday, October 24
See handout
Assignment #8--Due Thursday, October 31
See handout
Assignment #9--Due Thursday, November 7
See handout
Assignment #10--Due Thursday, November 14
See handout
Assignment #11--Due Tuesday, November 26
See handout