The Essentials of Vector Calculus

Vectors (chapter 12)

Here you'll find an introduction to the concept of a vector, as well as notation for vectors, and vector algebra.

A Review of Functions of One Variable

This is a very brief reminder of some of the important topics in the study of one variable functions, such as domain, range, graphs, and shifting.

Functions of Several Variables (11.1-11.4, 11.6)

This is the basic meat of the course. This will show you how to represent functions of two variables in a variety of ways and switch between them. Minor mention is made of more than two variable functions.

Linear and Quadratic Functions of Several Variables (11.5)

This section discusses details of finding the equations of planes as well as most common quadratic functions like spheres and hyperboloids. There is also a catalog of some of the more common surfaces.

Sample Tests on this material.
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