Mathematics (Pure)

• Proof
• Algebra and functions
• Coordinate geometry
• Sequences and series
• Trigonometry
• Exponentials and logarithms
• Differentiation
• Integration
• Numerical methods
• Vectors
• Statistics: sampling, data presentation, probability, distributions, hypothesis testing
• Mechanics: kinematics, forces, Newton’s laws, moments, energy, power, momentum

Further Mathematics (Core)

• Complex numbers
• Matrices
• Roots of polynomials
• Series and summation
• Hyperbolic functions
• Further calculus
• Polar coordinates
• Vectors and 3D geometry
• Differential equations
• Proof (incl. induction)

Options (vary by board): Further Pure, Mechanics, Statistics, Decision/Discrete Maths

Physics

• Measurements and errors / Working as a physicist
• Particles and radiation / Atomic/nuclear physics
• Waves
• Mechanics and materials
• Electricity and electric circuits
• Further mechanics and thermal physics
• Fields (gravitational, electric, magnetic) and their consequences
• Nuclear physics
• Optional modules: astrophysics, medical, engineering, turning points, electronics (depending on board)