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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