Math 13
Multivariable Calculus

Homework

Papers should be placed in the boxes outside of Kemeny 008 by 4:00pm on the due date.

wk	date	reading	Topic	Exercises
1	3/27	-	Introduction
	3/29	Ch 15.1	Iterated Integrals	15.1: 1, 9, 19, 21, 29, 39, 41, 45.
	3/31	Ch 15.2	More general regions	15.2: 3, 15, 21, 25, 27, 33, 41, 44.
				Problem set #1 and solution.
2	4/03	Ch 15.3	Triple integrals	15.3: 3, 7, 9, 13.
	4/05	Ch 15.3	Triple integrals	15.3: 17, 23, 27, 31, 33, 35, 39.
	4/07	Ch 15.4	Polar and cylindrical coordinates	15.4: 1, 3, 7, 19, 23, 31, 35, 39.
				Problem set #2 and solution.
3	4/10	Ch 15.4	Spherical coordinates	15.4: 37, 43, 45, 49, 53.
	4/12	Ch 15.5	Applications of triple integrals	15.5: 1, 7, 13, 17, 27.
	4/14	Ch 15.5	Applications of triple integrals
				Problem set #3 and solution.
4	4/17		Review session
	4/18		Midterm 1 and solution
	4/19	Ch 15.6	Change of variables	15.6: 1, 5, 7, 11, 13, 17, 21.
	4/21	Ch 15.6	Change of variables	15.6: 25, 31, 33, 35 (use x=2u, y=3v), 37.
				No homework this week.
5	4/24	Ch 15.6	Change of variables
	4/26	Ch 16.1	Vector fields	16.1: 1, 5, 11, 13, 15, 23, 25, 29.
	4/28	Ch 16.1	Vector fields	16.1: 41, 43, 47, 51.
				Problem set #4 and solution.
6	5/01	Ch 16.2	Scalar line integrals	16.2: 1, 5, 9, 11, 15, 17, 43, 45.
	5/03	Ch 16.2	Vector line integrals	16.2: 7, 19, 21, 23, 27, 29, 41, 53, 55.
	5/05	Ch 16.3	Conservative vector fields	16.3: 3, 5, 9, 11, 17, 19, 23.
				Problem set #5 and solution.
7	5/08		Review session
	5/09		Midterm 2 and solution
	5/10	Ch 16.4	Surfaces	16.4: 1, 7, 9.
	5/12	Ch 16.4	Surface integrals	16.4: 13, 17, 19, 21, 25, 29, 35.
				No homework this week.
8	5/15	Ch 16.5	Vector surface integrals	16.5: 1ac, 5, 7, 9, 13, 17, 25.
	5/17	Ch 17.1	Green's theorem	17.1: 1, 3, 7, 13, 15, 16 (sol.: 3π).
	5/19	Ch 17.1	Green's theorem for general regions	17.1: 23, 25, 31.
				Problem set #6 and solution.
9	5/22	Ch 17.2	Stokes’ Theorem	17.2: 1, 3, 5, 9, 11, 15.
	5/24	Ch 17.2	Surface Independence (Stokes’ Theorem)	17.2: 17, 25, 27.
				Problem set #7 and solution.
	5/26	Ch 17.3	Divergence Theorem	17.3: 3, 7, 9, 13, 15.
10	5/29			Problem set #8 and solution.
	5/09		Final exam and solution

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