Math 53

Math 53 - Multivariable Calculus -- [4 units]

Course Format:

Three hours of lecture and two hours of discussion/workshop per week; at the discretion of the instructor, an additional hour of discussion/workshop per week.

Prerequisites: 1A-1B or equivalent

Description: Parametric equations and polar coordinates. Vectors in 2- and 3-dimensional Euclidean spaces. Partial derivatives. Multiple integrals. Vector calculus. Theorems of Green, Gauss, and Stokes. (F,SP)

Textbook: Stewart, Multiple Variable Calculus. A specially priced UC Berkeley paperback edition is available.

Outline of the Course:

Chapter 10: Parametric Equations and Polar Coordinates
4.5 hours
Chapter 12: Vectors and the Geometry of Space
4.5 hours
Chapter 13: Vector Functions
1 hour
Chapter 14: Partial Derivatives
8 hours
Chapter 15: Multiple Integrals
9 hours
Chapter 16: Vector Calculus
11 hours
Total
38 hours
Midterms & Holidays
4 hours

Reviews are appropriate during the RRR week; be sure to reserve the room.


42 hours
The total number of class hours may vary during the Fall and Spring semesters