Edexcel A Level Maths: Year 1 and 2: Bridging Edition
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Description
Contents
Reviews
Language
English
ISBN
9781382018067
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
1.2 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 7: Units and kinematics
Introduction
Bridging Unit 7
Topic A: Kinematics
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 9: Collecting, representing and interpreting data
Introduction
Bridging Unit 9
Topic A: Averages
Topic B: Measures of spread
Topic C: Histograms
9.2 Central tendency and spread
9.3 Single-variable data
9.4 Bivariate data
Summary and review
Exploration
Assessment
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 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 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
1.1 Argument and proof
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
2.2 The binomial theorem
2.3 Algebraic division
2.4 Curve sketching
Summary and review
Exploration
Assessment
2.1 Expanding and factorising
Chapter 3: Trigonometry
Introduction
Bridging Unit 3
Topic A: Trigonometry 1
Topic B: Trigonometry 2
3.2 The sine and cosine rules
Summary and review
Exploration
Assessment
3.1 Sine, cosine and tangent
Chapter 4: Differentiation and integration
Introduction
Bridging Unit 4
Topic A: Coordinate geometry
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
4.1 Differentiation from first principles
Chapter 5: Exponentials and logarithms
Introduction
Bridging Unit 5
Topic A: Exponentials and logarithms
5.2 Exponential functions
5.3 Exponential processes
5.4 Curve fitting
Summary and review
Exploration
Assessment
5.1 The laws of logarithms
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
MECHANICS
7.1 Standard units and basic dimensions
Chapter 8: Forces and Newton’s laws
Introduction
Bridging Unit 8
Topic A: Forces and Newton's laws
8.2 Dynamics 1
8.3 Motion under gravity
8.4 Systems of forces
Summary and review
Exploration
Assessment
Assessment, chapters 7–8: Mechanics
8.1 Forces 1
STATISTICS
9.1 Sampling
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
11.2 The critical region
Summary and review
Exploration
Assesment
11.1 Formulating a test
Assessment, chapters 9–11: Statistics
Year 2
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
MECHANICS
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
STATISTICS
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
Answers
Index
IBC
Back Cover
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