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

Final: Tuesday, June 11th, 3:00pm-6:00pm

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.