Math 402/502, Advanced Calculus II
Spring 2018

General Information

Instructor: Matthew Blair
Email Address: blair ["at"] math.unm.edu
Course Web Page: http://www.math.unm.edu/~blair/math402s18.html
Office: SMLC 330
Office Hours: 2:15-4:15pm on Mondays and 1:30-2:30pm on Tuesdays. Also by appointment.

Text: Introduction to Analysis, 4th Edition, by William R. Wade.

Meeting times/location: Monday, Wednesday, and Fridays, 10-10:50am in SMLC 356.

Course Description Continuation of 401/501, covering the following chapters in Wade's text: Integrability on R (Ch. 5), Infinite series of real numbers (Ch. 6), Infinite series of functions (Ch. 7), Euclidean spaces (Ch. 8), Metric spaces (Ch. 10), Differentiability on R^n (Ch. 11)

Prerequisites: Math 401/501.

Course Syllabus

Homework

Assignment #1--Due Wednesday, January 24

See handout

Assignment #2--Due Wednesday, January 31

See handout

Assignment #3--Due Wednesday, February 7

See handout

Assignment #4--Due Wednesday, February 14

See handout

Review for Hour Exam 1 on Wednesday, February 21.
Exam will cover the following sections in the text: 1.3, 5.1, 5.2, 5.3, 6.1, 6.2, 6.3, 6.4 and elementary improper integration.

Review all prior assignments, including the "On your own" problems. Also solve the following in your review of section 6.4:
6.4: 6.4.1, 6.4.2, 6.4.3, 6.4.6 (Hint: switch the roles of a_k and b_k in Abel's formula)

Assignment #5--Due Wednesday, February 28

See handout

Assignment #6--Due Wednesday, March 7

See handout

Assignment #7--Due Wednesday, March 21

See handout

Review for Hour Exam 2 on Wednesday, March 28.
Exam will cover the following sections in the text: 7.1, 7.2, 7.3, 7.4, 10.1.

Review all prior assignments, including the "On your own" problems. Also solve the following in your review of section 10.1:
10.1.3, 10.1.4, 10.1.7, 10.1.8a, 10.1.9, 10.1.12.

Assignment #8--Due Wednesday, April 4

See handout

Assignment #9--Due Wednesday, April 11

See handout

Assignment #10--Due Wednesday, April 18

See handout

Assignment #11--Due Wednesday, April 25

See handout

Review for Hour Exam 3 on Friday, May 4.
Exam will cover the following sections in the text: 10.1, 10.2, 10.3, 10.4, 10.5, 10.6, 11.1, 11.2, 11.3, 11.4, 11.5, 11.6.

Review all prior assignments, including the "On your own" problems. Also solve the following in your review of section 11.5 and 11.6:
11.5.1, 11.5.4, 11.5.8, 11.6.1, 11.6.2, 11.6.3, 11.6.4.

11.5.5 is a good problem to do for your own edification, but don't spend much time on it in preparing for the exam.