$56.25

# AQA A Level Maths: Year 1 and 2: Bridging Edition

By Katie Wood, Mark Rowlands, Brian Jefferson, David Bowles, Eddie Mullan, Garry Wiseman, John Rayneau, Mike Heylings, Rob Wagner, Paul Williams, Tony Beadsworth, C P Rourke, Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler

US$ 56.25

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Book Description

Approved by AQA, this Student Book offers full support for A Level Maths (2017 specification), across pure, mechanics and statistics. Bridging units at the start of each Year 1 chapter provide the ideal springboard from GCSE, with extensive examples and exercises throughout. Supports AQA's new 2018 Large data set (car data).

Table of Contents

- Front Cover
- IFC
- Title Page
- Imprint
- Contents
- About this book
- Year 1/AS Level
- PURE
- Chapter 1: Algebra 1
- Introduction
- Bridging Unit 1
- Topic A: Indices and surds
- Topic B: Solving linear equations and rearranging formulae
- Topic C: Factorising quadratics and simple cubics
- Topic D: Completing the square
- Topic E: The quadratic formula
- Topic F: Line graphs
- Topic G: Circles

- 1.1 Argument and proof
- 1.2 Index laws
- 1.3 Surds
- 1.4 Quadratic functions
- 1.5 Lines and circles
- 1.6 Simultaneous equations
- 1.7 Inequalities
- Summary and review
- Exploration
- Assessment

- Chapter 2: Polynomials and the binomial theorem
- Introduction
- Bridging Unit 2
- Topic A: Expanding brackets
- Topic B: Algebraic division
- Topic C: Cubic, quartic and reciprocal graphs

- 2.1 Expanding and factorising
- 2.2 The binomial theorem
- 2.3 Algebraic division
- 2.4 Curve sketching
- Summary and review
- Exploration
- Assessment

- Chapter 3: Trigonometry
- Introduction
- Bridging Unit 3
- Topic A: Trigonometry 1
- Topic B: Trigonometry 2

- 3.1 Sine, cosine and tangent
- 3.2 The sine and cosine rules
- Summary and review
- Exploration
- Assessment

- Chapter 4: Differentiation and integration
- Introduction
- Bridging Unit 4
- Topic A: Coordinate geometry

- 4.1 Differentiation from first principles
- 4.2 Differentiating axn and Leibniz notation
- 4.3 Rates of change
- 4.4 Tangents and normals
- 4.5 Turning points
- 4.6 Integration
- 4.7 Area under a curve
- Summary and review
- Exploration
- Assessment

- Chapter 5: Exponentials and logarithms
- Introduction
- Bridging Unit 5
- Topic A: Exponentials and logarithms

- 5.1 The laws of logarithms
- 5.2 Exponential functions
- 5.3 Exponential processes
- 5.4 Curve fitting
- Summary and review
- Exploration
- Assessment

- Chapter 6: Vectors
- Introduction
- 6.1 Definitions and properties
- 6.2 Components of a vector
- Summary and review
- Exploration
- Assessment
- Assessment, chapters 1–6: Pure

- Chapter 1: Algebra 1
- MECHANICS
- Chapter 7: Units and kinematics
- Introduction
- Bridging Unit 7
- Topic A: Kinematics

- 7.1 Standard units and basic dimensions
- 7.2 Motion in a straight line – definitions and graphs
- 7.3 Equations of motion for constant acceleration
- 7.4 Motion with variable acceleration
- Summary and review
- Exploration
- Assessment

- Chapter 8: Forces and Newton’s laws
- Introduction
- Bridging Unit 8
- Topic A: Forces and Newton's laws

- 8.1 Forces 1
- 8.2 Dynamics 1
- 8.3 Motion under gravity
- 8.4 Systems of forces
- Summary and review
- Exploration
- Assessment
- Assessment, chapters 7–8: Mechanics

- Chapter 7: Units and kinematics
- STATISTICS
- Chapter 9: Collecting, representing and interpreting data
- Introduction
- Bridging Unit 9
- Topic A: Averages
- Topic B: Measures of spread
- Topic C: Histograms

- 9.1 Sampling
- 9.2 Central tendency and spread
- 9.3 Single-variable data
- 9.4 Bivariate data
- Summary and review
- Exploration
- Assessment

- Chapter 10: Probability and discrete random variables
- Introduction
- 10.1 Probability
- 10.2 Binomial distribution
- Summary and review
- Exploration
- Assessment

- Chapter 11: Hypothesis testing 1
- Introduction
- Bridging Unit 11
- Topic A: Hypothesis testing

- 11.1 Formulating a test
- 11.2 The critical region
- Summary and review
- Exploration
- Assesment

- Chapter 9: Collecting, representing and interpreting data

- PURE
- Assessment, chapters 9–11: Statistics
- Year 2
- PURE
- Chapter 12: Algebra 2
- Introduction
- 12.1 Further mathematical proof
- 12.2 Functions
- 12.3 Parametric equations
- 12.4 Algebraic fractions
- 12.5 Partial fractions
- 12.6 Vectors in 3D
- Summary and review
- Exploration
- Assessment

- Chapter 13: Sequences
- Introduction
- 13.1 The binomial series
- 13.2 Introduction to sequences
- 13.3 Arithmetic sequences
- 13.4 Geometric sequences
- Summary and review
- Exploration
- Assessment

- Chapter 14: Trigonometric identities
- Introduction
- 14.1 Radians
- 14.2 Reciprocal and inverse trigonometric functions
- 14.3 Compound angles
- 14.4 Equivalent forms for a cos θ + b sin θ
- Summary and review
- Exploration
- Assessment

- Chapter 15: Differentiation 2
- Introduction
- 15.1 The shapes of functions
- 15.2 Trigonometric function
- 15.3 Exponential and logarithmic functions
- 15.4 The product and quotient rules
- 15.5 The chain rule
- 15.6 Inverse functions
- 15.7 Implicit differentiation
- 15.8 Parametric functions
- Summary and review
- Exploration
- Assessment

- Chapter 16: Integration and differential equations
- Introduction
- 16.1 Standard integrals
- 16.2 Integration by substitution
- 16.3 Integration by parts
- 16.4 Integrating rational functions
- 16.5 Integrating parametric functions
- 16.6 Differential equations
- Summary and review
- Exploration
- Assessment

- Chapter 17: Numerical methods
- Introduction
- 17.1 Simple root finding
- 17.2 Iterative root finding
- 17.3 Newton-Raphson root finding
- 17.4 Numerical integration
- Summary and review
- Exploration
- Assessment
- Assessment, chapters 12–17: Pure

- Chapter 12: Algebra 2
- MECHANICS
- Chapter 18: Motion in two dimensions
- Introduction
- 18.1 Two-dimensional motion with constant acceleration
- 18.2 Two-dimensional motion with variable acceleration
- 18.3 Motion under gravity 2
- 18.4 Motion under forces
- Summary and review
- Exploration
- Assessment

- Chapter 19: Forces 2
- Introduction
- 19.1 Statics
- 19.2 Dynamics 2
- 19.3 Moments
- Summary and review
- Exploration
- Assessment
- Assessment, chapters 18–19: Mechanics

- Chapter 18: Motion in two dimensions
- STATISTICS
- Chapter 20 Probability and continuous random variables
- Introduction
- 20.1 Conditional probability
- 20.2 Modelling with probability
- 20.3 The Normal distribution
- 20.4 Using the Normal distribution as an approximation to the binomial
- Summary and review
- Exploration
- Assessment

- Chapter 21: Hypothesis testing 2
- Introduction
- 21.1 Testing correlation
- 21.2 Testing a Normal distribution
- Summary and review
- Exploration
- Assessment

- Chapter 20 Probability and continuous random variables

- PURE
- Assessment, chapters 20–21: Statistics
- Mathematical formulae
- Statistical tables
- Mathematical formulae – to learn
- Mathematical notation
- Answers
- Index
- IBC
- Back Cover

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