Homepage for Math 53

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 or computer laboratory per week.

Prerequisites: 1A-1B or equivalent

Credit Option: Students will receive 1 unit of credit for 53 after taking 50B and 3 units of credit after taking 50A.

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, Calculus: Early Transcendentals, 4th Edition, Brooks/Cole

Outline of the Course:

The most important part of this course in the pair of theorems: Stokes' and Gauss' (alias divergence theorem). Unfortunately they come at the very end of the course, and by then usually everybody is tired. The suggested number of hours for each topic, as well as some of the more glaring omissions, reflect an attempt to compensate for this fact: more hours are allotted to Chapters 15 and 16 than otherwise seem necessary or desirable. One such unfortunate omission is the discussion of Kepler's laws (Section 13.4); there just isn't enough time.