AQA A Level Maths: Year 1 / AS Level: Bridging Edition
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Description
Contents
Reviews
Language
English
ISBN
9781382017961
Front Cover
IFC
Title Page
Imprint
Contents
About this book
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 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 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 rule
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 8
Topic A: Forces and Newton’s laws
8.1 Forces 1
8.2 Dynamics
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
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
Mathematical formulae
Mathematical notation
Answers
Index
IBC
Back Cover
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