# 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

Check back for announcements.

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