Algebra. Quadratic equations. Non-linear inequalities. Simultaneous equations and problems leading to quadratic equations. The nature of the roots. Graphs and functions. Absolute values. Linear programming. The Remainder Theorem. Indices and Surds. Logarithms. Sequences and series. Differential Calculus. Trigonometry. Definitions and simple relationships grade 11. Trigonometrical identities and equations grade 11. Additional trigonometry grade 12. Formulae and the solution of triangles. Trigonometric graphs. Analytical geometry. Euclidean geometry. Circle geometry grade 11. Proportion and similarity. Examination papers and theorems. Theorems and Corollaries.