1
Sequences and series
Arthmetic sequences
Geometric sequence
Series
Finite arithmetric series
Finite geometric series
Infinite series
Summary
2
Functions
Revision
Functions and relations
Inverse functions
Linear functions
Quadratic functions
Exponential functions
Summary
3
Finance
Calculating the period of an investment
Annuitiea
Future value annuities
Present value annuities
Analysing investment and loan options
Summary
4
Trigonometriy
Revision
Compound angel identities
Double angle identities
Solving equations
Applications of trigonometric functions
Summary
5
Polynomials
Revision
Cubic polynomials
Remiander theorem
Factor theorem
Solving cubic equations
6
Differential calculus
Limits
Differentiation from first principles
Rules for differentiation
Equation of a tangent to a curve
Second derivative
Sketching graphs
Applications of differential calculus
Summary
7
Analytical geometric
Revision
Equation of a circle
Equation of a tangent to a circle
Summary
8
Euclidean geometry
Revision
Ratio and proportion
Polygons
Triangles
Similarity
Pythagorean theorem
Summary
9
Statistics
Revision
Curve fitting
Correlation
Summary
10
Probability
Revision
Identities
Tools and Techniques
The fundamental counting principle
Factorial notation
Application to counting problems
Application to probability problems
Summary