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
|
|
