Algebra
- Linear Equations
- Algebraic Fractions
- Polynomials
- Quadratic Equations
- Indices & Powers
- Surds & Irrational Equations
- Logarithms
- Inequalities
- Modulus Equations
Complex Numbers
- Basics of Complex Numbers
- Polar Form of Complex Numbers *
- DeMoivres Theorem *
- Roots of a Complex Number *
- Cubed Roots of Unity *
* (Higher Level Only)
Matrices
- Properties of Matrices
- Matrix Equations
Sequences and Series
- Sequences and Limits
- Finite/Infinites Series
- Arithmetic Sequences and Series
- Geometric Sequences and Series
Binomial Theory (*)
- Factorials and Binomial Coefficients
- Bionomial Therorem
- General Term
Differentation
- Proofs – First Principles
- Proofs – Various Rules
- Differentiation Methods and by Rule
- Applications of Differentiation – Rates of Change
- Applications of Differentiation – Curves
- Cubic Equations and Roots *
- Newton-Raphson Method *
(* Higher Level Only)
Proof by Induction (*)
- Sum of a Series
- Divisibility Statements
- Inequalities
Integration (*)
- Basic Integration
- Applications of Integration
- Area & Volume
- Integration Curves
- Trigonometric Integrals
Geometry
- Proofs & Constructions
- Applications of Geometry
- 2 D Shapes
- 3 D Objects *
(*Higher Level Only)
Trigonometry
- Trig Graphs
- Proofs
- Trigonometry Identities *
- Trigonometry Rules
- Applications of Trig
- 2D Shapes
- 3D Objects *
*(Higher Level Only)
Co-ordinate Geometry
- The Line
- The Circle
Statistics
- Statistics Theory
- Graphs & Representation
- Measures of Central Tendency
- Correlation
Probability
- Counting
- Concepts of Probability
- Outcomes of Random Processes
Arithmetic (Ordinary Level Only)
- Money
- Numbers
- Distance, Speed and Time
