In this recording we look at how to rearrange a formula where the letter that we want to make the subject is in the denominator. That is, we look how to make f the subject when presented with an expression of the form a/b ...

This recording demonstrates how to integrate rational functions where the numerator is a constant and the denominator is an irreducible quadratic function. We complete the square on the denominator, then we integrate by ...

We choose a simple scalar function f(x,y,z) and calculate its gradient.

Worked examples of adding and subtracting vectors algebraically in terms of i and j and also using the result of the proof of vector ab = vector b - vector a.

This recording demonstrates use of the quadratic formula in relation to three examples: one with 2 distinct solutions, one with a repeated solution and one with no real solutions. The discriminant function is introduced ...

Three basic laws of logarithms are introduced and two examples then demonstrate how these laws can be used to simply logarithmic expressions.

Worked example for solving limits where x is approaching infinity. Includes graph of the function, explanation of the steps involved and why these steps are taken.

The following topics are the focus of this course Laws of Logic, Sets, Relations and Functions, Sequences, Series, Matrices, Introduction to Statistics, Data Representation, The Central Tendency of a data-set, Measures of ...

Modules/Lectures: Spaces ; Operators ; Some Important Theorems ; Spectral Results ;

This module consists of three units which are as follows: Unit 1: (i) Sets and Functions (ii) Composite Functions This unit starts with the concept of a set. It then intoroduces logic which gives the learner techniques ...