Arthmetic sequences Geometric sequence Series Finite arithmetric series Finite geometric series Infinite series Summary Revision Functions and relations Inverse functions Linear functions Quadratic functions Exponential functions Summary Calculating the period of an investment Annuitiea Future value annuities Present value annuities Analysing investment and loan options Summary Revision Compound angel identities Double angle identities Solving equations Applications of trigonometric functions Summary Revision Cubic polynomials Remiander theorem Factor theorem Solving cubic equations Limits Differentiation from first principles Rules for differentiation Equation of a tangent to a curve Second derivative Sketching graphs Applications of differential calculus Summary Revision Equation of a circle Equation of a tangent to a circle Summary Revision Ratio and proportion Polygons Triangles Similarity Pythagorean theorem Summary Revision Curve fitting Correlation Summary Revision Identities Tools and Techniques The fundamental counting principle Factorial notation Application to counting problems Application to probability problems Summary