Review of set notation
Properties of Surds
Multiplication and division of complex
numbers Factorising quadratic expressions and
solving quadratic equations over the complex number field 
Subsets of the set of real numbers
The set of complex numbers
Representing complex numbers on an
Argand diagram 
Describing Sequences
Arithmetic Series
Geometric Series

Arithmetic Sequences
Geometric Sequence
Applications of Sequence and Series

Direct Variation
Inverse Variation
Joint Variation
Transformation of Data

More Direct Variation
More Inverse Variation
Part Variation

Index Laws
Solving linear equations and simultaneous
linear equations Algebraic Fractions
Polynomial Identities
Simultaneous Equations

Transposition
Applications
Linear Literal Equations
Partial Fractions

The Circle
The Parabola
Polar Coordinates
Polar Graphs
Addition of ordinates, reciprocals and
squares of graphs 
The Ellipse
The Hyperbola
Polar Equations
Complex numbers and polar form
of complex numbers 
Graphs of linear Inequations
Graphs of systems of linear inequations
Solving linear programming problems

Graphs of simultaneous linear inequations
Maximising and minimising linear functions
Further applications of linear programming

The Sine Rule
Trigonometric Identities
Proving Trigonometric Identities
Double Angle Formulae

The Cosine Rule
Simplifying Trigonometric Expressions
Sum & Difference Formulae

Introduction to Vectors
Magnitude, direction and components of vectors
Applications of Vectors
Newton’s first law of motion
Connected bodies in equilibrium

Vector Operations
i, j notation
Force and tension
Equilibrium — forces at an angle

Introduction to kinematics
Constant acceleration formulas
Dynamics: forces and acceleration

Velocity–time graphs and acceleration–time
graphs Instantaneous rates of change
Resolving forces and describing
motion 