# 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