KS5 Further Mathematics

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

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