An example of solving a degree four polynomial where all powers are even. The substitution w = z^2 is used to rewrite as quadratic, the quadratic formula is applied to find the two solutions and then the complex square roots of both values of w are found.

Further example of how to apply the product rule. Recapped on the steps involved also. Practice questions at the end with solutions for students to try themselves.

Introduction to the product rule - when and how to use it with steps and one example.

Shows how to sketch a 3D curves which is given in vector form on 2D paper. The curve is rewritten in scalar parametric form, values for the parameter t are selected, and points on the curve calculated. These are then plotted and the curve is sketched.

Introduces the concept of a limit with graphed examples. Also, simple limit examples are completed.

Finds domain and range of a quadratic function, a hyperbola, and the two composite functions. Shows how to exclude values from the domain and range.

This screencast compares the graph of a rational function four possible functions and discusses which rational function has produced the graph.

This screencast compares the graph of a rational function four possible functions and discusses which rational function has produced the graph.

The general formulae for multiplication and division of complex numbers in polar form are given and their use is then demonstrated in relation to a particular example

This recording shows that it is possible to multiply by an expression containing a variable in an inequality - as long as one keeps track of when the expression is positive or negative.