# 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