Example of simplifying a Boolean expression by using a 3-variable Karnaugh map.

An example of using the laws of Boolean Algebra to simplify a Boolean expression, including use of De Morgan's laws.

Example of solving a second-order linear ordinary differential equation with constant coefficients in the case where the auxiliary equation has complex conjugate roots and the right hand side of the equation is an exponential function

Example of solving a second-order linear ordinary differential equation with constant coefficients in the case where the auxiliary equation has two distinct real roots and the right hand side of the equation is an exponential function

Example of simplifying a Boolean expression by using a 4-variable Karnaugh map.

Worked example explains how to multiply numbers and letters. Also explains the concepts of expressions, constants and coefficients.

This screencast shows a medium-level example of the solution of a first order differential equation using the integration factors method.

Worked example explains how to solve an algebraic equation. Also explains the concepts of variable and operation.

This screencast first derives the auxilary equation corresponding to a second order d.e. with constant coefficients. It then shows how to find the solution of this d.e. The auxiliary equation has complex roots, and the derivation into the form e^ax(Acos(beta x)+Bsin(beta x)).

This screencast gives an example of sketching vertical and horizontal cross-sections of a surface and hence producing a final sketch of the resulting 3D surface (which is an elliptical hyperboloid of two sheets)