The purpose of this course is to give a explanation of various coordinate systems used to describe points in space, and how to perform what are called coordinate transformations that allows one to describe a point in space from different coordinate systems. The basic mathematics involved in such transformations is also introduced. The course outline is as follows:

- 1-Dimensional coordinates
- Definition of a 1 dimensional coordinate system
- 1-D Unit vectors
- 1-D Coordinate Transformations
- 2-Dimensional coordinates
- Cartesian Coordinates
- Polar Coordinates
- Other Orthogonal Coordinate Systems
- 2-D Matrix Algebra Review
- 2-D Coordinate Transformations
- 3-Dimensional Coordinates
- Cartesian Coordinates
- Spherical Coordinates
- Cylindrical Coordinates
- Other Orthogonal Coordinate Systems
- 3-D Matrix Algebra Review
- 3-D Coordinate Transformations

It is assumed that the student understands basic algebra, and has been exposed to matrix algebra in the past. A lot of matrix algebra is used, there is a review of the subject, but it is assumed that the basic material has been covered before.

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