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

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