Pearson Edexcel · International A-Level · Further Mathematics

1 Complex arithmetic and quadratic roots 2 Parabolas and rectangular hyperbolas 3 Matrix operations, inverses and plane transformations 4 Bisection and Newton root finding 5 Finite sums and induction 6 Deduction, contradiction and induction

1 Quadratics and inequalities 2 Series, finite differences and Taylor expansions 3 Complex numbers and roots 4 Differential equations and numerical solutions 5 Second-order linear differential equations 6 Polar curves and area

1 Hyperbolic functions and inverse relations 2 Conics, parametric curves and tangent reasoning 3 Chain, product, quotient and implicit differentiation 4 Substitution, parts and partial fractions 5 Spatial vectors, lines and angles 6 Matrix transformations, inverses and eigenvalues

1 Kinematics and Newton's laws 2 Vectors and transformation geometry 3 Moments, equilibrium and centres of mass 4 Inclined planes, friction and connected particles

1 Kinematics and Newton's laws 2 Moments, equilibrium and centres of mass 3 Work, energy, power and collisions 4 Projectile motion and variable acceleration

1 Elasticity, circular motion and variable dynamics 2 Differential equations and numerical solutions 3 Moments, equilibrium and centres of mass

1 Data summaries, histograms and interpretation 2 Probability, trees and conditional reasoning 3 Regression, financial models and residuals 4 Binomial, normal and Poisson models

1 Binomial, normal and Poisson models 2 Sampling and a large data set 3 Hypothesis testing and contextual conclusions 4 Continuous distributions and density functions

1 Confidence intervals, chi-square and regression 2 Sampling and a large data set 3 Regression, financial models and residuals

1 Algorithms, networks and linear programming 2 Critical paths and scheduling 3 Sorting, packing and network algorithms