\$38.90

# 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\$ 38.90
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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).

• 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
• 3.3 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
• Index
• Back Cover
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