# Math 402/502, Advanced Calculus II Spring 2014

## General Information

Instructor: Matthew Blair
Course Web Page: http://www.math.unm.edu/~blair/math402s14.html
Office: SMLC 330
Office Hours: 3:30-5pm on Mondays and 10:15-11:45am on Tuesdays. Also by appointment.

Text: Foundations of Analysis by Joseph L. Taylor.

Meeting times/location: Tuesdays and Thursdays at 12:30-1:45pm in Anthropology 178 Mitchell 208.

Course Description Uniform convergence of functions, infinite series, topology of R^n, continuous functions on R^n, differentiation in several variables including the inverse and implicit function theorems.

Prerequisites (from the catalog): Math 401/501.

Announcements

Feb. 3: Note the room change! The class now meets in Mitchell 208, instead of the Anthropology building.

Homework

Assignment #1--Due Thursday, January 30

3.4: 1,3,5,10
6.1: 2-9
Not collected: 3.4: 2,4; 6.1: 12

Assignment #2--Due Tuesday, February 4

See handout

Assignment #3--Due Tuesday, February 11

6.3: 5,6,11
6.4: 1,3,6,9,10
Not collected: 6.3: 1-4,7; 6.4: 4,5,7,8
Notes: For 6.4 #6, you can use the trick from class where you take logarithms in order to compute the radius of convergence. For 6.4 #8 (not collected), it is a bit of a trick question, the answer is NOT 2! For 6.4 #9, you may use the usual facts about the derivative of the inverse tangent function from calculus.

Assignment #4--Due Thursday, February 27

See handout

Assignment #5--Due Tuesday, March 4

7.2: 6,8
7.3: 1,2,3,7(a),9
Not collected: 7.2: 1-5,7,10,12; 7.3: 4,6,14
Notes: The problem 7.3 #7(a) means prove only part (a) of Theorem 7.3.7. For the not collected problem 7.2 #10, you can use #6 and #8 from the same section to get a short proof.

Assignment #6--Due Thursday, March 13

See handout

Assignment #7--Due Tuesday, April 1

8.1: 3,6,8,10
8.2: 1(a,b,c,e),4,10,11
Not collected: 8.1: 1,5,9; 8.2: 5,6

Assignment #8--Due Tuesday, April 15

8.4: 13, 15, 16
9.1: 1, 7, 8, 9, 10
Not collected: 8.4: 1-10, 14 8.5: 1-5 9.1: 1-4, 6
Notes: In 9.2 #8, your solution should address the values of p for which the partial derivative in x does not exist.

Assignment #9--Due Tuesday, April 22

See handout

Assignment #10--Due Tuesday, April 29

9.4: 2,8,9,10
9.5: 2,3,6,7
Not collected: 9.4: 1,3,4,6,11,14; 9.5: 1,8,9

Assignment #11--Due Tuesday, May 6

9.5: 9,12
9.6: 2,3,4,7,10