AUMELBAS282

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