Problems are from the assigned textbook: James Stewart, Multivariable Calculus, 8th Edition, Cengage Learning, 2016.

The following is a minimal set of problems you should be able to solve by the end of the course. Additional practice (e.g. review after each chapter) is up to your discretion.

Date Assigned	Topic	Problems

Sept 14	graphing	§14.1; #23, 24, 27, 32, 36, 45, 47, 49
	partial derivatives	§14.3; #15, 23, 27, 37, 53

Sept 16	quiz #1

Sept 16	tangent planes & linear approximation	§14.4; #1, 4, 5, 15, 17, 19
	chain rules	§14.5; #3, 5, 7, 17, 21, 39
	gradient vector	§14.6; #7, 9, 19, 21

Sept 26	quiz #2

Sept 26	gradient and directional derivative	§14.6; #13, 15, 31, 33, 43a, 45a, 49
	max and min values	§14.7; #3, 5, 7, 9, 11

Oct 4	quiz #3

Oct 4	Lagrange multipliers	§14.8; #3, 5, 9, 13, 17, 19, 33, 34

Oct 11	quiz #4

Oct 17	midterm exam #1

Oct 22	vector functions	§13.1; #21-26, 31
	calculus of vector functions	§13.2; #3, 5, 17, 19, 27
	arc length & curvature	§13.3; #1, 3, 11, 17, 19

Oct 29	quiz #5

Nov 1	double integrals over rectangles	§15.1; #15, 17, 23, 31, 33
	double integrals	§15.2; #3, 7, 9, 13, 19, 21, 51, 53

Nov 8	quiz #6

Nov 12	polar coordinates	§15.3; #5, 7, 9, 11, 13, 19, 21, 29, 31, 37

Nov 21	midterm exam #2

Nov 22	cross product	§12.4; #1, 3, 9, 11, 19, 22
	triple integrals	§15.6; #9, 11, 15, 19, 21, 33


??	FINAL EXAM