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:
For more detailed instructions, see the Xdvi
or PDF pages.
- Points and Vectors in 3 space.
- Lines in 3 space.
- Planes in 3 space.
- Dot Products.
- Cross Products.
- Cylindrical and Spherical Coordinate Systems
- 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
- Vector Artithmetic,
- Dot Product,
- Cross Product,
- Cylindrical Coordinates, and
- Spherical Coordinates.
- Take the Sample
Test, Xdvi or PDF.
- Take a unit test.
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Last modified November 5, 1998