Year 11 By Topics:
Topic 01 — Basic Arithmetic
Topic 02 — Basic Algebra
Topic 03 — Numbers and Functions
Topic 04 — Graphs and Inequations
Topic 05 — Sequences and Series
Topic 06 — Coordinate Geometry
Topic 07 — Trigonometry
Topic 08 — The Derivative
Topic 09 — Integration
Topic 10 — The Quadratic Function
Topic 11 — The Geometry of the Parabola
Topic 12 — The Geometry of the Derivative
Topic 13 — Logarithmic Function
Topic 14 — Exponential Function
Topic 15 — The Trigonometric Functions
Topic 16 — Polynomials
Year 12 (2/3 unit):
Topic 01 — Differentiations:
Part 1 — Tangent and the Derivative
Part 2 — Applications of Differentiation
Topic 02 — Integrations:
Part 1 — Indefinite integral
Part 2 — Definite integral
Part 3 — Area and Volume
Part 4 — Approximations of Definite Integrals
Topic 03 — Rates and Finance:
Topic 04 — Plane Geometry:
Topic 05 — Trigonometry:
Part 1 — The Fundamental Identity,
Part 2 — The Derivative of Trigonometric Functions,
Part 3 — Integrals Involving Trigonometric Functions.
Topic 06 — Exponential and Logarithmic Functions:
Topic 07 — Trigonometry Functions:
Topic 08 — Numerical Estimation
Part 1 — Numerical Estimation of the Roots of An Equation
Topic 09 — Motion:
Part 1 — Displacement, Velocity and Acceleration
Part 2 — Simple Harmonic Motions – The Time Equations and Differential Equation
Part 3 — Projectile Motion – The Time Equations, The Equation of Path
Topic 10 — The Binomial Theorem:
Part 1 — The Pascal Triangle and Factorial Notation
Part 2 — Greatest Coefficient and Identities on the Binomial Coefficients
Year 12 (4 unit):
Topic 01 — Complex Number:
Part 1 — The Arithmetic of Complex Numbers
Part 2 — Geometrical Representation of a Complex Number 1 (Argand Diagram)
Part 3 — Geometrical Representation of a Complex Number 2 (Vector)
Part 4 — Curves and regions in the Argand Diagram
Topic 02 — Conics:
Part 1 — Cartesian Equations and Parametric Equation for the Ellipse and Hyperbola
Part 2 — Equation of a Chord on an Ellipse or Hyperbola
Part 3 — Tangent and normal to the ellipse and hyperbola
Part 4 — The Rectangular Hyperbola
Topic 03 — Polynomials:
Part 1 — Factors and zeros of polynomials
Part 2 — The relationship between the roots and coefficients of a polynomial equation
Part 3 — Solution of polynomial equations and partial fractions
Topic 04 — Integration:
Part 1 — Standard Integrals
Part 2 — Using substitution
Part 3 — Trigonometric Functions
Part 4 — Recurrence Formulae
Topic 05 — Volumes:
Part 1 — Volumes of solid of revolution by slicing
Part 2 — Volumes of solid of revolution by cylindrical shells
Part 3 — Volumes of solid with parallel cross-sections of similar shapes
Topic 06 — Graphs:
Part 1 — Critical points on curves & Translation of Graphs
Part 2 — Reciprocal Function and Division of ordinates
Part 3 — Graphs of Composite functions
Topic 07 — Mechanics:
Part 1 — Motion of a particle in one dimension
Part 2 — Motion of a particle in two dimensions
Part 3 — The conical pendulum and Motion around a circular banked track
Topic 08 — Harder 3 Unit Topics:
Part 1 — Geometry of Circle
Part 2 — Mathematical Induction
Part 3 — Inequalities between real numbers
