Mathematics Advanced Year 11 & 12 Student Book

Year 11

• 1 Algebraic techniques
• 2 Trigonometry
• 3 Further algebraic techniques
• 4 Functions
• 5 Equations and functions
• 6 Further trigonometry
• 7 Introduction to differentiation
• 8 Exponential and logarithmic functions
• 9 Probability
• 10 Discrete probability distributions

Year 12

• 11 Descriptive statistics
• 12 Trigonometric functions and graphs
• 13 Differential calculus
• 14 The first and second derivative
• 15 Graphing techniques
• 16 The anti-derivative
• 17 Integral calculus
• 18 Financial mathematics
• 19 Bivariate data analysis
• 20 Random variables

Mathematics Extension 1 Year 11 & 12 Student Book

Year 11

• 1 Further work with functions
• 2 Polynomials
• 3 Graphing functions
• 4 Further trigonometric identities
• 5 Inverse functions
• 6 Permutations and combinations
• 7 Rates of change and their application

Year 12

• 8 Trigonometric equations
• 9 Proof by mathematical induction
• 10 Vectors in two dimensions
• 11 Applications of calculus
• 12 Differential equations
• 13 Motion, forces and projectiles
• 14 The binomial distribution

Mathematics Extension 2 Year 12 Student Book

Year 12

• 1 Complex numbers
• 2 The nature of proof
• 3 Further work on vectors
• 4 Further integration
• 5 Mechanics