32A (Lect. 1), Calculus of Several Variables

Lectures: MWF 9:00-9:50 in Humanities A51.

Instructor: Rowan Killip, 6935 Math Sciences Building.

Office Hours: Mon 10:00--11am and Wed 11--12 in 6935 Math Sciences Building.

TAs: Derek Levinson (OH: T2-3 in MS 3975), Allen Boozer (OH: Th 11-12 in MS 2344), and Alan Zhou (OH: T3-4 PM in MS 2350).

Exams: Two in-class midterms: Wednesday, October 25th and Wednesday, November 15th. Three-hour final: Monday, December 11, 11:30am-2:30pm.
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, 15%; Each midterm 15%; Final 55%.

Syllabus: General Course Outline.

Here is our expected progress:

Lecture	Sections	Topics
1	13.1	Vectors in the Plane
2	13.2	Vectors in Three Dimensions
3	13.3	Dot Product
4	13.4	Cross Product
5	13.5	Planes in Three-Space
6	12.1	Parametric equations
7	14.1	Vector-Valued Functions
8	14.2	Calculus of Vector-Valued Functions
9	14.3,4	Arc-Length and Speed; Curvature
10	14.5,6	Motion in Three-Space; Planetary Motion
		Midterm #1
11	15.1	Functions of Two or More Variables
12	13.6	A Survey of Quadric Surfaces
13	15.2	Limits and Continuity
14	15.2	Limits and Continuity
15	15.3	Partial Derivatives
16	15.3	Partial Derivatives
17	15.4	Differentiability and Tangent Planes
18	15.4	Differentiability and Tangent Planes
19	15.5	Gradient and Directional Derivatives
		Midterm #2
20	15.5	Gradient and Directional Derivatives.
21	15.6	Chain Rule
22	15.6	Chain Rule
23	15.7	Optimization
24	15.7	Optimization
25	15.8	Lagrange Multipliers
26	15.8	Lagrange Multipliers
		Final

Homework Problems:
Homework 1, due Friday Oct. 6.
Homework 2, due Friday Oct. 13.
Homework 3, due Friday Oct. 20.
Homework 4, due Friday Oct. 27.
Homework 5, due Friday Nov. 3.
Homework 6, due Friday Nov. 17.
Homework 7, due Friday Dec. 1.
Homework 8, due Friday Dec. 8.