##### Term 1 Week 1-3: Patterns, sequences, series

Sigma Notation

Derivation and application of the formulae for the sum of arithmetic and geometric series

Geometric infinite series

##### Term 1 Week 4-6: Functions

Definition of a function

Inverse of a function

Graphs of the inverses of the functions

Inverse of a parabola: y = ax^2

##### Term 1 Week 7: Functions: Exponential and Logarithm

Functions: Exponential and Logarithm

##### Term 1 Week 8-9: Finance, Growth and Decay

Calculating the period of an investment

Annuities

Future value annuities

Annuity

Present value annuitie

Analysing investment and loan options

##### Term 1 Week 10-11: Trigonometry

Compound angles

Double angles

Solving trig equations

##### Term 2 Week 1-2: Trigonometry: Solve 3-d problems

Trigonometry: Solve 3D problems

- Textbook

##### Term 2 Week 3: Functions: Polynomials

Cubic Polynomials

Remainder theorem

Factor theorem

Solving cubic equations

##### Term 2 Week 4-6: 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

##### Term 2 Week 7-8: Analytical Geometry

Equation of a circle

Equation of a tangent to a circle

##### Term 3 Week 1-2: Euclidean Geometry

Ratio and proportion

Proportionality in polygons

Proportionality of triangles

Similarity

Curve fitting

Correlation

##### Term 3 Week 4-5: Counting and Probability

Identities

Tools and techniques

The fundamental counting principle

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