Topics

Algebra and Quadratics

Binomial Expansione

Binomial Expansion Exercise

Functions

Domain and Range

Domain and Range Revisited.

       Transformations of functions

Coordinate Geometry

Circular Measure

Arcs and Sectors with Radians

Radians and Degrees

Trigonometry

Sine Rule

Cosine Rule

Trigonometry of large angles

Inverse Trig Functions

More on inverse trig functions

Trigonometry and Surds 

Useful Trig Identities

Solving Trig Equations

Trigonometry of Compound Angles

Trigonometry of Double Angles

Series

Introduction to Series

Arithmetic Progressions

Arithmetic Progressions Exercise

Sum of Arithmetic Progressions

 Arithmetic Progression Exercise

Geometric Progressions

Geometric Progressions Exercise

Geometric Progressios Sum to Infinity

G.P. Sum to Infinity Exercise

Calculus: Differentiation

 Introduction to Differentiation

 Leibniz Notation

 Standard Differentials

 Differentiation Exercise

 Maxima and Minima

 Maxima and Minima Exercise

Chain Rule

Calculus: Integration

 Introduction to Integrationtegration

 Integration Area under curves

 Negative areas

 Areas between curves

 Integration by substitution

         Volumes of Revolution