Welcome to MATH 237, Vector Calculus

Syllabus: A copy of the syllabus is here.

Course outline:

I. Vector Geometry

II. Vector-valued functions

III. Multivariate functions, differentiation thereof

IV. Multivariate functions, integration thereof

V. Vector Analysis

Daily Assignments

Other useful or interesting links:

Animations:

The dot product (interactive)

The cross product (lets you adjust the vectors being crossed)

Animation for the directional derivative (click on Animation 10)

Animation for line integrals (scroll down and click on the contour map)

the Visual Calculus web site, with nice explanations and some animations for Calculus I-II.

the typo submission site for the textbook

Old drafts of a first exam (note that some arithmetic may be more challenging than the real exam, and that these exams were written for the previous book, so some notation may be different.). Exam I. (This is the same as the practice exam on the assignments page.)

An old practice exam II. (This is the same as the practice exam on the assignments page.)

An old practice exam III. (This is the same as the practice exam on the assignments page.)

A practice final. (Solution sketch)