Paper 1

Number
3.1 Number Systems
  • Irrational Numbers
  • Complex Numbers (also 4.4)
  • Induction
  • Limits
  • Patterns, Sequence and Series
3.2 Indices (and Logs)
3.3 Arithmetic (Financial Maths)

Algebra
4.1 Expressions
  • Add, Subtract, Multiply, Divide
  • Factorising Expressions
  • Simplify Rational Algebraic Expressions
  • Binomial Theorem
4.2 Solving Equations
  • Linear Equations
  • Quadratic Equations
  • Simultaneous Equations 
  • Cubic Equations
  • Index Equations
  • Exponential Equations
4.3 Inequalities
  • Linear Inequalities
  • Quadratic Inequalities
  • Rational Inequalities
  • Modulus Inequalities
4.4 Complex Numbers (also in 3.1)
  • Add, Subtract, Multiply, Divide
  • Conjugate Roots
  • Argand Diagram
  • Polar Form
  • De Moivre's Theorem for Expansions, Roots, Trigonometric Proofs
  • Prove DeMoivre's Theorem

Functions
5.1 Functions
  • Graph Cubic, Exponential, Logarithmic & Trigonometric Functions
  • Injective, Surjective and Bijective
  • Inverse of Function
  • Quadratics in Complete Square Form
  • Limits and Continuity of Functions
5.2 Calculus
Differentiation
  • First Principles
  • Differentiation by Rule
  • Rates of Change
  • Max & Min
Integration
  • Anti-differentiation
  • Average Value
  • Area Bounded by Curves