32B (Lect. 2), Calculus of Several Variables

Lectures: MWF 11:00-11:50 in Franz 1178.

Instructor: Rowan Killip, 6935 Math Sciences Building.

Office Hours: Mon 1:30--2:30pm and Wed 2:30--3:30pm in 6935 Math Sciences Building.

TAs: Silas Richelson, Jacob Rooney, and Jason Murphy

Exams: Two in-class midterms: Wednesday, April 24th and Wednesday, May 15th. Three-hour final: Monday, June 7, 2010, 3:00pm-6:00pm.
Bring student ID to both midterms and the final. There will be no make-up exams.
No calculators, notes, or books will be permitted in any exam.

Homework: There will be weekly homework. It is due in class. Further information is given below.

• No late homework will be accepted.
• The reader will grade three problems each out of five points.
• Up to five further points will be awarded based on the proportion of the remaining problems that are completed.
• Write your name, ID number, and TA section at the top of the first page.
• Staple your pages!
• Homework will be returned in TA section.
• The weakest homework score will be omitted.

Grading: Homework, 14%; Each midterm 17%; Final 52%. No exceptions.

Syllabus: General Course Outline.

Here is our expected progress; it will be updated during the quarter:

Lecture	Sections	Topics
Apr 1	16.1	Integrals in two variables and iterated integrals
Apr 3	16.2	Integrals over general regions
Apr 5	16.2, 16.3	Reversing order of integrals, triple integrals
	16.3, 12.3	Triple integrals (cont.), polar coordinates
	16.4	Double Integrals in Polar Coordinates
	16.4	Double Integrals in Polar Coordinates
	16.5	Applications of Double Integrals
	16.6	Change of Variables in Multiple Integrals
	16.6	Change of Variables in Multiple Integrals
		Midterm 1
	17.1	Vector Fields
	17.1	Vector Fields
	17.2	Line Integrals
	17.2	Line Integrals
	17.3	Conservative Vector Fields
	17.3	Conservative Vector Fields
	17.4	Parametric Surfaces
	17.4	Parametric Surfaces
		Midterm 2
	17.5	Surface Integrals
	17.5	Surface Integrals
	18.1	Green's Theorem
	18.1	Green's Theorem
	18.3	The Divergence Theorem
	18.2	Stokes' Theorem
		Review
		Final

Homework Problems:
Homework 1. Due Friday April 5.
Homework 2. Due Friday April 12.