Year 12 HSC Mathematics Extension

Learn.

  • Arithmetic
  • Geometric
  • Sum of Series
  • Divisibility
  • Exponential Functions
  • Differentiating Trigonometric Functions
  • Geometry of the First Derivative
  • The Second Derivative & Curve Sketching
  • Applications of Max & Min Values
  • Geometric Vectors
  • Position Vector
  • The Scalar Product
  • Vector Projection
  • Using Vectors in Geometry
  • Fundamental Theorems of Calculus
  • Integration of Exp
  • Reciprocal & Trig 
  • Functions
  • Even & Odd Functions
  • Area Bounded by Curves
  • Area Between Two Graphs
  • Calculating Definite Integrals
  • Physical Applications of Calculus
  • 2-dimensional motion
  • Using Compound and Double Angle Formulas
  • Derivatives & Integrals of Inverse Trig Functions
  • Further Trigonometric 
  • Integrals
  • Volumes of Solids of Revolution
  • Differential Equations
  • Financial Applications of Series
  • Continuous Random Variables Part I
  • Continuous Random Variables Part II
  • The Normal Distribution
  • The Binomial Distribution

Master.

Sample Module Exams

  • Vector Calculus

Sample HSC a & trial exams

  • Past HSC Exam Paper 2019
  • Sample HSC Exam Paper

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