Math 510, Introduction to Analysis I
Fall 2011
General Information
Instructor: Matthew Blair
Email Address: blair ["at"] math.unm.edu
Course Web Page: http://www.math.unm.edu/~blair/math510.html
Office: SMLC 330
Office Hours: Wednesdays 2-4pm, and by appointment.
Text: Principles of Mathematical Analysis, Third Edition, by Walter Rudin.
Meeting times/location: MWF 10-10:50 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, elements of Fourier Analysis (time permitting). This should correspond to Chapters 1-7, and perhaps 8 in Rudin.
Announcements
September 14: The midterm will be on Wednesday, October 12.
Homework
Assignment #1--Due Friday, September 2
Exercises: Rudin, Ch. 1--5,6,9,15
Reading: Ch. 1, start Ch. 2
Not collected: 3,7,8,13
Assignment #2--Due Friday, September 9
See handout
Assignment #3--Due Friday, September 16
Exercises: Rudin, Ch. 2--7, 10, 12, 15, 22
Reading: Ch. 2
Not collected: 9, 14
Assignment #4--Due Wednesday, September 28
See handout
Assignment #5--Due Friday, October 7
See handout
Assignment #6--Due Friday, October 21
See handout
Assignment #7--Due Friday, October 28
See handout
Assignment #8--Due Friday, November 4
See handout
Assignment #9--Due Friday, November 11
Exercises: Rudin, Ch. 6--2,4,5,8,12
Reading: Ch. 6
Not collected: Ch. 6--1,3,10,11
Assignment #10--Due Friday, November 18
See handout
Assignment #11--Due Friday, December 2
See handout
Assignment #12--Due Friday, December 9
See handout