# Vector Calculus Independent Study Path

## Unit 1: Vectors and Three Dimensional Geometry

As you probably know from high school, or from physics, vectors are
mathematical objects we assign to things that have *direction* in
addition to having *magnitude.* In this unit, we introduce the
little pointy guys, and show most of the fun ways of combining them.
In this unit you should/will learn about:

- Points and Vectors in 3 space.
- Lines in 3 space.
- Planes in 3 space.
- Dot Products.
- Cross Products.
- Cylindrical and Spherical Coordinate Systems

For more detailed instructions, see the Xdvi
or PDF pages.
## Suggested Procedure

- Read and do some problems from
- Rogers Chapters 1, 2, 3, 4, and sections 7.1, 7.2, and 17.1.
- Marsden and Tromba, chapter 1. [Section 1.5 is optional.]
- Thomas & Finney chapter 13,
- Simmons section 17.3, and chapter 18, or
- World Web Math pages (current being revised) regarding
- Vectors,
- Vector Artithmetic,
- Dot Product,
- Cross Product,
- Lines,
- Planes,
- Cylindrical Coordinates, and
- Spherical Coordinates.

- Take the
**Sample
Test**, Xdvi or PDF.
- Take a unit test.

Vector Calculus Independent Study Path |
Vector Calculus Index |
World Web Math Categories Page

watko@athena.mit.edu
Last modified November 5, 1998