| Summation of finite series using standard results |
| Summation of series using the method of differences |
| Mathematical induction |
| Introduction to complex numbers |
| The language of complex numbers and the Argand plane |
| Algebra of complex numbers |
| Loci involving complex numbers |
| Transformations of the z and w plane |
| Roots of polynomials of degree 3 - cubics |
| Matrix algebra |
| Properties of matrix multiplication |
| Inverse of a 2 x 2 matrix and determinants |
| Determinants |
| Linear dependence, independence, and singular and non-sinular matrices |
| Linear simulataneous equations, Guassian elimination and reduction to echelon form |
| Inverse of a 3 x 3 matrix |
| Linear Transformations and matrices |
| Mathematical induction in matrix algebra |
| Differentiation from first principles |
| Logarithms and implicit differentiation |
