MATH104 - Introduction to Coordinate Systems

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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