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A-Level Mathematics

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Pure Mathematics I

  • Quadratics

  • Functions

  • Coordinate geometry

  • Circular measure

  • Trigonometry

  • Series

  • Differentiation

  • Further differentiation

  • Integration

  • Full-length Paper 1

Pure Mathematics II and III

  • Algebra

  • Logarithmic and exponential functions

  • Trigonometry

  • Differentiation

  • Integration

  • Numerical solutions of equations

  • Further algebra

  • Further calculus

  • Vectors

  • Differential equations

  • Complex numbers

  • Full-length Paper 2

  • Full-length Paper 3

Statistics and Probability I

  • Representation of data

  • Measures of central tendency

  • Measures of variation

  • Probability

  • Permutations and combinations

  • Probability distributions

  • The binomial and geometric distributions

  • The normal distributions

  • Full-length paper 5

Statistics and Probability II

  • Hypothesis testing

  • The Poisson distribution

  • Linear combinations of random variables

  • Continuous random variables

  • Sampling

  • Estimation

  • Full-length Paper 6

Mechanics

  • Velocity and acceleration

  • Force and motion in one dimension

  • Forces in two dimensions

  • Friction

  • Connected particles

  • General motion in a straight line

  • Momentum

  • Work and energy

  • The work-energy principle and power

  • Full-length Paper 4