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 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.

Part 1: Explains how to solve simple equalities/inequalities of the type abs(x)=constant, abs(x) < constant, abs(c) > constant.

Explains how to rewrite a cubic polynomial as the product of a linear term and a quadratic, by dividing the cubic by the linear term.

Explains the integrating factor method and gives a quick proof.

This screencast explains how differentiation requiring combinations (or multiple uses) of the product, chain and quotient rules can be made simpler by using logarithmic differentiation. This method relies on log rules to ...

Explains briefly the concept behind vector components - that one vector is written as the sum of a component into a direction of another, plus the perpendicular vector. Then an example is worked through.

This recording first explains what a transition curves is and gives formulae to calculate the angle theta as well as any point on the curve (x,y). It then works through an example.

Shows two incorrect solutions to finding the derivative of (3x+5)^2x and discusses why they are incorrect. The correct approach is then explained.