This course provides an introduction to vector algebra and to the three most common coordinate systems. The four basic functions of vector algebra — addition, subtraction, dot products and cross products — are discussed both graphically and symbolically in each of the three coordinate systems, and the equations for coordinate system transformations are presented. This course was developed by Kathryn Leigh Smith, Asst. Prof. in the Department of Electrical and Computer Engineering at the University of North Carolina-Charlotte in partnership with Ansys.