Differential calculus

1.  Remainder and factor theorem

2. Factorising cubic polynomials

3.  Solving cubic equations

4.  Gradient of the tangent at a point using first principles

5.  More first principles

6.  Rules of differentiation

7.  More rules of differentiation

8.  Equation of a tangent

9.  Graphical interpretation of the derivative

10.  Graphical interpretation of second derivative

11.  Sketching cubic functions

12.  Determining the equation of a cubic graph

13.  Interpreting graphs

14.  Graph of the derivative of a function

15.  Rates of change and motion

16.  Minimum and maximum problems