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: Multivariable Calculus - Early Transcendentals for UC Berkeley

Outline of the Course:

Chapter 10: Parametric Equations and Polar Coordinates
  4.5 hours
Omit Section 10.6. Discuss only the highlights of Section 10.5.

Chapter 12: Vectors and the Geometry of Space
  4.5 hours
Chapter 13: Vector Functions
  1 hour
Cover only Sections 13.1 and 13.2.

Chapter 14: Partial Derivatives
  8 hours
Chapter 15: Multiple Integrals
10 hours
Some students have difficulty with Sections 15.3 and 15.7 because of the 3-D geometry involved.

Chapter 16: Vector Calculus
12 hours
Total
40 hours
Midterms
  2 hours
Holidays & Reviews
  3 hours

45 hours

Comments: The final chapter, Vector Calculus, is the heart of the course. Try not to rush through this material. Several topics in earlier chapters have been omitted so as to leave more time for Chapter 16.

Lectures may, of course, deviate at their discretion from the suggested lecture hours. The Calculus Committee welcomes recommendations from the faculty and GSIs for modifications in the course outline.