Higher School Certificate
Year 12 Mathematics Advanced

Topic 1 – Functions

1.1 Transformations
1.2 Graphs of Functions

Higher School Certificate
Year 12 Mathematics Advanced

Topic 2 – Trigonometric Functions

2.1 Transformations
2.2 Trigonometric Equations
2.3 Periodic Phenomena

Higher School Certificate
Year 12 Mathematics Advanced

Topic 3 – Calculus

3.1 Differentiation of Non-Power Functions
3.2 Rules of Differentiation
3.3 Second Derivative
3.4 Anti-Derivative
3.5 Approximate Areas
3.6 Definite Integrals

Higher School Certificate
Year 12 Mathematics Advanced

Topic 4 – Financial Mathematics

4.1 Modelling Investments and Loans
4.2 Arithmetic Sequences and Series
4.3 Geometric Sequences and Series
4.4 Financial Applications of Sequences and Series

Higher School Certificate
Year 12 Mathematics Advanced

Topic 5 – Staistical Analysis

5.1 Bivariate Data Analysis
5.2 Continuous Random Variables
5.3 Normal Distribution

Higher School Certificate
Year 11 Mathematics Advanced

Topic 1 – Functions

1.1 Linear Equations
1.2 Quadratic Equations
1.3 Surds
1.4 Linear Inequalities
1.5 Algebraic Techniques
1.6 Introduciton to Functions
1.7 Coordinate Geometry
1.8 Quadratic Graphs
1.9 Simultaneous Equations
1.10 Cubic Polynomials and Other Functions

Higher School Certificate
Year 11 Mathematics Advanced

Topic 2 – Trigonometric Functions

2.1 Definition of Trigonometry
2.2 Application of Trigonometry
2.3 Non-Right Angled Triangles
2.4 Radian Measure
2.5 Trigonometric Graphs
2.6 Trigonometric Functions
2.7 Trigonometric Equations

Higher School Certificate
Year 11 Mathematics Advanced

Topic 3 – Calculus

3.1 Gradients of Lines
3.2 Gradients of Tangents and Continuity
3.3 Average Rates of Change
3.4 Derivative Functions and its GraphS
3.5 Calculating with Derivatives

Higher School Certificate
Year 11 Mathematics Advanced

Topic 4 – Exponential and Logarithmic Functions

4.1 Exponential Laws
4.2 Exponential Graphs
4.3 Natural Exponential Functions
4.4 Logarithmic Laws
4.5 Logarithmic Graphs
4.6 Natural Logarithmic Functions

Higher School Certificate
Year 11 Mathematics Advanced

Topic 5 – Statistical Analysis

5.1 Classifying and Representing Data
5.2 Exploring and Describing Arising from a Single Continuous Variable
5.3 Probability
5.4 Discrete Probability Distributions