A Level Further Maths

Entry Requirements: Grade 9 in GCSE Maths

Exam Board: Edexcel

Course content:

Year 1 Pure Proof · Proof by induction

Complex numbers · Solving quadratics · Complex conjugate · Argand diagrams · Modulus form calculations

Matrices · Operations with matrices · Linear transformations · Inverse matrices · Simultaneous equations

Algebra and functions · Quartic equations · Sum formulas · Linear transformations of roots

Further calculus · Volumes of revolution

Further vectors · Equation of a straight line · Equation of a plane · Scalar product · Intersecting lines and planes

Year 1 Option: Decision Maths · Algorithms · Graphs & networks · Route inspection · Linear programming · Critical path analysis · Simplex algorithm

Assessment at the end of Year 2

Paper 1: Pure 90 mins

Paper 2: Pure 90 mins

Paper 3: Option 1 90 mins

Paper 4: Option 2 90 mins

Year 2

Pure Proof · Sum of series · Matrices

Complex numbers · e Iɵ = cosƟ + sinƟ · Distinct nth terms · Geometric problems

Algebra and functions · Method of differences · Maclaurin series · Compound functions

Further calculus · Improper integrals · Mean of a function · Integrate with partial fractions · Differentiate inverse trig functions · Trigonometric substitutions

Polar co-ordinates · Convert from Cartesian co-ordinates · Curve sketching · Area under a curve

Hyperbolic functions · Definitions of hyperbolic functions · Differentiation and integration · Inverse functions

Differential equations · Solving differential equations · Modelling · Simple harmonic motion · Analyse and interpret models

Year 2 Option: Further Pure, Statistics or Mechanics