This course covers topics that traditionally follow an advanced algebra course and are arranged in two broad components: Component 1 covers elementary functions. These include polynomial, exponential, logarithmic, and trigonometric (circular) functions and their combinations. A section covers sequences, series and combinatorial problems, and eventually moves into differential. Component 2 contains a treatment of plane geometry including vectors. The usual work with lines and planes is presented along with concepts dealing with conic sections, other coordinate systems, and parametric representation of curves and surfaces. Prerequisites: Algebra and trigonometry (either completed or taken simultaneously); student must be extremely motivated and a team worker.