 \$56.25

# Edexcel 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

Endorsed for Edexcel, this Student Book offers full support for A Level Maths (2017 specification), across pure, mechanics and statistics. Bridging units at the start of Year 1 chapters provide the ideal springboard from GCSE, with extensive examples and exercises. Practice assessments are written in the new exam style.

• Front Cover
• Title Page
• Contents Page
• Chapter 1: Algebra 1
• Introduction
• Bridging Unit
• 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
• 1.5 Simultaneous equations
• 1.6 Lines and circles
• 1.7 Inequalities
• Summary and review
• Exploration
• Assessment
• Chapter 2: Polynomials and the binomial theorem
• Introduction
• Bridging Unit
• 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
• Assessment, chapters 1–5: Pure
• Chapter 6: Vectors
• Introduction
• 6.1 Definitions and properties
• 6.2 Components of a vector
• Summary and review
• Exploration
• Assessment
• 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
• 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 6–8: Mechanics
• 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
• Assessment
• Assessment, chapters 9–11: Statistics
• 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
• 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
• 14.2 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 functions
• 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 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 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 Vectors in 3D
• 19.2 Statics
• 19.3 Dynamics
• 19.4 Moments
• Summary and review
• Exploration
• Assessment
• Assessment, chapters 18–19: Mechanics
• 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
• Assessment, chapters 20–21: Statistics
• Mathematical formulae
• Statistical tables
• Mathematical formulae – to learn
• Mathematical notation
• Index
• Back Cover
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