$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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