This module corresponds to the upper level High School math curriculum. It is comprised of Pre-Calculus, Calculus, Probability and Statistics. It includes Limits, The Derivative, Applications of the Derivative, Antiderivatives/Integrals, Applications of Integrals, Logarithmic, Exponential and Other Transcendental Functions, Differential Equations, Sequences, Serials and Polynomial Approximations and Parametric and Polar Equations.

Pre-Calculus and Calculus

For example: Graphing and the first derivative - The first derivative aids us in drawing the graph of a function. If the first derivative is positive, then the function is increasing. Iif the first derivative is negative, the function is decreasing. Relative maximums and relative minimums occur at critical points where the first derivative is either equal to 0 or doesn’t exist.

Finding Area - To find the area bounded by the graph of a continuous function f on a closed interval [a,b] and the x-axis is given by .

Statistics

For example: Standard Error of Estimate - is the standard deviation of the observed y values about the predicted y-value for a given x-value .

Probability

For example: Combination - A combination is a selection of objects from a group without regard to their order. In general if we select r objects from a group of n objects, the total number of ways this can be accomplished is .