AQA A Level Further Maths: Year 1 / AS Level
$36.75

AQA A Level Further Maths: Year 1 / AS Level

By Katie Wood, Brian Jefferson, David Bowles, Eddie Mullan, Garry Wiseman, John Rayneau, Mike Heylings, Rob Wagner, Steve Cavill, Paul Williams, Neil Tully, Shaun Procter-Green, L Bostock, Tony Beadsworth, C P Rourke, Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler
US$ 36.75
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Book Description

This Student Book provides full support for both AQA's new linear AS Level Further Maths specification, and for the first year of the full A Level course. It covers both the compulsory content (further pure) and all the optional content (mechanics, statistics and discrete maths).

Table of Contents
  • Front Cover
  • Title Page
  • Contents
  • Chapter 1: Complex numbers
    • Introduction
    • 1.1 Properties and arithmetic
    • 1.2 Solving polynomial equations
    • 1.3 Argand diagrams
    • 1.4 Modulus-argument form and loci
    • Summary and review
    • Exploration
    • Assessment
  • Chapter 2: Algebra and series
    • Introduction
    • 2.1 Roots of polynomials
    • 2.2 Inequalities
    • 2.3 Summing series and the method of differences
    • 2.4 Proof by induction
    • 2.5 Maclaurin series 1
    • Summary and review
    • Exploration
    • Assessment
  • Chapter 3: Curve sketching 1
    • Introduction
    • 3.1 Linear rational functions
    • 3.2 Quadratic rational functions
    • 3.3 Polar coordinates
    • 3.4 Parabolas, ellipses and hyperbolas
    • 3.5 Hyperbolic functions 1
    • Summary and review
    • Exploration
    • Assessment
  • Chapter 4: Integration 1
    • Introduction
    • 4.1 Mean values
    • 4.2 Volumes of revolution
    • Summary and review
    • Exploration
    • Assessment
  • Chapter 5: Matrices 1
    • Introduction
    • 5.1 Properties and arithmetic
    • 5.2 Transformations
    • 5.3 Systems of linear equations
    • Summary and review
    • Exploration
    • Assessment
  • Chapter 6: Vectors 1
    • Introduction
    • 6.1 The vector equation of a line
    • 6.2 The scalar product
    • 6.3 Finding distances 1
    • Summary and review
    • Exploration
    • Assessment
  • Chapter 7: Forces and energy
    • Introduction
    • 7.1 Work, energy and power
    • 7.2 Hooke’s law
    • 7.3 Dimensional analysis
    • Summary and review
    • Exploration
    • Assessment
  • Chapter 8: Momentum
    • Introduction
    • 8.1 Conservation of momentum
    • 8.2 Collisions
    • 8.3 Impulses
    • Summary and review
    • Exploration
    • Assessment
  • Chapter 9: Circular motion 1
    • Introduction
    • 9.1 Kinematics of circular motion
    • 9.2 Horizontal circular motion
    • Summary and review
    • Exploration
    • Assessment
  • Chapter 10: Discrete and continuous random variables
    • Introduction
    • 10.1 Discrete distributions and expectation
    • 10.2 The Poisson distribution
    • 10.3 Continuous distributions 1
    • Summary and review
    • Exploration
    • Assessment
  • Chapter 11: Hypothesis testing and contingency tables
    • Introduction
    • 11.1 Hypothesis testing and errors
    • 11.2 Contingency tables
    • 11.3 Confidence intervals
    • Summary and review
    • Exploration
    • Assessment
  • Chapter 12: Graphs and networks 1
    • Introduction
    • 12.1 Graphs and networks
    • 12.2 Traversing a graph
    • 12.3 Minimum spanning trees and Kruskal’s algorithm
    • 12.4 Minimum spanning trees and Prim’s algorithm
    • 12.5 The route inspection problem
    • 12.6 The travelling salesman problem
    • 12.7 Network flows 1
    • Summary and review
    • Exploration
    • Assessment
  • Chapter 13: Critical path analysis 1
    • Introduction
    • 13.1 Activity networks
    • 13.2 Critical paths
    • Summary and review
    • Exploration
    • Assessment
  • Chapter 14: Linear programming and game theory 1
    • Introduction
    • 14.1 Constrained optimisation
    • 14.2 Zero-sum games
    • 14.3 Mixed-strategy games
    • Summary and review
    • Exploration
    • Assessment
  • Chapter 15: Abstract algebra
    • Introduction
    • 15.1 Binary operations
    • 15.2 Modular arithmetic
    • Summary and review
    • Exploration
    • Assessment
  • Mathematical formulae
  • Mathematical notation
  • Answers
  • Index
  • Back Cover
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