Oxford University Press
AQA A Level Further Maths: Year 1 / AS Level
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
AQA A Level Further Maths: Year 1 / AS Level
US$ 44.25
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Description
Contents
Reviews

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).

Language
English
ISBN
9781382017909
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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