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The lesson begins with a situation where the height of a pop fly in baseball is modeled using a quadratic equation.

The lesson begins with an exploration of the family of graphs of $$y = ax^2$$, with an emphasis on tracking the changes in the $$y$$-values for differing values of the parameter $$a$$.

This lesson introduces completing the square as a means of expanding the set of quadratic equations that may be solved beyond the extraction of roots and factoring.

Completing the square is applied to the general quadratic to derive the quadratic formula.

This lesson begins with a review of the vertex formula for a quadratic and looks at two quadratics- one a vertical shift of the other- to verify that correct vertex is obtained for any quadrati

The four arithmetic operations on fractions are given here, but in each case examples of using the operation on ordinary fractions is first reviewed, helping to ground the new material in the unde

Collection of worksheets for use with Sage, covering differentiation, graphing functions, line integrals, and optimization.

An interactive maplet that gives a differential equation and then steps the user through the process of solving the first order linear equation, allowing them to check their solutions at each step
An interactive maplet that gives a differential equation and then steps the user through the process of solving the separable equation, allowing them to check their solutions at each step.
Many many examples of real-world bifurcation problems. Includes an index of examples. Smaller collection of demos and software (mostly 10 year old Fortran programs)