College Courses

Basics of functions, domain & range, graphing, combining functions (composition), altering functions and inverse functions.  Covers numerous types of functions, such as linear, polynomial (including quadratic equations) & rational, logarithmic and exponential types.

Definitions of trigonometric functions, graphing and trigonometric identities.  Extensive problem solving involving trigonometric functions, such as simple harmonic motion, right triangles, etc. Can also include conic sections upon request.

Covers slopes of lines along with formal definitions of limit and derivative. Detailed us of chain rule, product rule and quotient rule.  Extensive applications to maxima, minima, related rates of change, graphing, etc.  Can also include topic of continuity.

Material includes calculating the area under a curve, indefinite integrals, lengths of curves and the Fundamental Theorem of Calculus.  Methods of integration include substitution, partial fractions, and integration by parts.  Numerous applications!   

Definitions for sequences and series, calculating bounds and methods to determine whether an infinite series converges or diverges.  May also include discussion of polar coordinates and parametric equations upon request.

Introductory coverage of combinations, permutations, along with discrete and continuous probability distributions.  Covers statistical methods and data analysis techniques.  Numerous examples!  (See below for more advanced subject matter.)