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.

Grading: Homework, 15%; Each midterm 15%; Final 55%.

Syllabus: General Course Outline.

Here is our expected progress:

Lecture Sections Topics
113.1Vectors in the Plane
213.2Vectors in Three Dimensions
313.3Dot Product
413.4Cross Product
513.5Planes in Three-Space
612.1Parametric equations
714.1Vector-Valued Functions
814.2Calculus of Vector-Valued Functions
914.3,4Arc-Length and Speed; Curvature
1014.5,6Motion in Three-Space; Planetary Motion
Midterm #1
1115.1Functions of Two or More Variables
1213.6A Survey of Quadric Surfaces
1315.2Limits and Continuity
1415.2Limits and Continuity
1515.3Partial Derivatives
1615.3Partial Derivatives
1715.4Differentiability and Tangent Planes
1815.4Differentiability and Tangent Planes
1915.5Gradient and Directional Derivatives
Midterm #2
2015.5Gradient and Directional Derivatives.
2115.6Chain Rule
2215.6Chain Rule
2515.8Lagrange Multipliers
2615.8Lagrange Multipliers
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.