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

In this screencast we look at how to set up a 2-variable Karnaugh map, followed by an example of simplifying a particular Boolean expression and simplifying its negation, using a 2-variable Karnaugh map.

This screencast illustrates the method of separation of variables for a medium-level first order differential equation: dy/dx=(2-y)/(1+x). Different ways of displaying the solution are discussed.

This screen casts contains an introduction to linear inequalities, including definitions and simple examples.

Explains the integrating factor method and gives a quick proof.

Given a diagram of a particular switching circuit, we start by identifying a Boolean function to represent it. We then find the negation of the switching circuit and finally, the simplest possible expression for it using ...

Worked example showing how to remove brackets of the form a(b+c)

Example of simplifying a Boolean expression using Boolean Algebra, with particular emphasis on using the rule (p+q)(p+r)=p+qr to help simplify an expression that otherwise would have involved extensive and time-consuming ...

Demonstration of the principle of solving a system of linear equations using Gaussian Elimination, with reference to a specific example with 3 equations and 3 unknowns where there is a unique solution.

This screen casts demonstrates worked examples of where the algebra skills already learned can be used in real life.