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 ...

In this recording, we look at how to identify '8-squares', '4-squares', '2-squares' and '1-squares' in a 4-variable Karnaugh map, with reference to the different ways each of these type of groupings can appear and how to ...

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.

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

An example where the gradient of a surface is found depending on the angle alpha, and then the maximum gradient is calculated.

We look at how to simplify algebraic fractions when there is a number and/ or power of a letter that is common to all terms on the numerator and denominator, thus allowing us to simplify the original fraction by cancelling ...

Introduction to "head to tail" vector addition in the geometric sense. This is then applied to an example of working out a boat's velocity relative to land given the velocity of the current and the velocity of the boat ...

Introduction to 'head to tail' vector subtraction in the geometric sense. This is then applied to an example of working out a boat's velocity relative to water given the velocity of the current and the velocity of the boat ...

Gives the definition and conditions for the inverse of a function to exist, and then applies this to an example where the original function is not one-to-one and where the domain of f(x) hence needs to be restricted in ...