A Level Further Mathematics (Edexcel)
In A Level Further Mathematics, we study the Edexcel specification (recently changed from AQA for first teaching in 2021) with any two of the following optional modules: Statistics, Mechanics, Discrete.
Calculator
It is recommended that every A Level student purchases a Casio ClassWiz fx-991EX calculator for use throughout the course. This has the functions to solve quadratics, simultaneous equations, polynomials, integrate and so much more! The price is approximately £20. A guide to all of it's functions can be found here.
Topic List
Year 1 Pure Content
Chapter 1: Matrices & Transformations
Chapter 2: Introduction to Complex Numbers
Chapter 3: Roots of Polynomials
Chapter 4: Conics
Chapter 5: Hyperbolic Functions
Chapter 6: Sequences & Series
Chapter 7: Further Calculus
Chapter 8: Complex Numbers & Geometry
Chapter 9: Polar Co-ordinates
Chapter 10: Rational Functions & Further Algebra
Chapter 11: The Determinant of a Matrix
Chapter 12: Vectors & 3D Space
Mechanics Content
Chapter 1: Kinematics
Chapter 2: Motion in more than one Dimension
Chapter 3: Forces & Motion
Chapter 4: A Model for Friction
Chapter 5: Work, Energy & Power
Chapter 6: Impulse & Momentum
Chapter 7: Circular Motion 1
Chapter 8: Hooke's Law
Chapter 9: Dimensional Analysis
Chapter 10: Moments of Force
Chapter 11: Centre of Mass
Chapter 12: Circular Motion 2
Year 2 Pure Content
Chapter 1: Vectors - Scalar Product
Chapter 2: Matrices - Determinants
Chapter 3: Conics - Transformations
Chapter 4: Series & Induction
Chapter 5: Graphs & Oblique Asymptotes
Chapter 6: Further Calculus
Chapter 7: Polar Co-ordinates
Chapter 8: MacLaurin's
Chapter 9: Matrices - Invariance
Chapter 10: Hyperbolic Functions
Chapter 11: Application of Integrals
Chapter 12: 1st Order Diff Equations
Chapter 13: Numerical Methods
Chapter 14: DeMoivre's Theorem
Chapter 15: Vector Cross Product
Chapter 16: 2nd Diff Equations
Discrete Content
Chapter 1: Graphs
Chapter 2: Networks
Chapter 3: Linear Programming
Chapter 4: Critical Path Analysis
Chapter 5: Network Flows
Chapter 6: Game Theory
Chapter 7: Binary Operations