# 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