BOOK
Edexcel AS and A level Further Mathematics Further Pure Mathematics 1
Greg Attwood | Ian Bettison | Jack Barraclough | Tom Begley | Lee Cope | Author
(2018)
Additional Information
Book Details
Abstract
Exam Board: Edexcel
Level: AS and A level
Subject: Further Mathematics
First teaching: September 2017
First exams: Summer 2018
With over 1.3 million copies sold of the previous edition, Pearson’s textbooks are the market-leading and most trusted resources for AS and A level Further Mathematics.
This book covers all the content needed for the optional Edexcel AS and A level Further Pure Mathematics 1 exams.
- Fully updated to match the 2017 specifications, with more of a focus on problem-solving and modelling.
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FREE additional online content to support your independent learning, including full worked solutions for every question in the book (SolutionBank) and GeoGebra interactives.
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Includes access to an online digital edition (valid for 3 years once activated).
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Includes worked examples with guidance, lots of exam-style questions, practice papers, and plenty of mixed and review exercises.
Table of Contents
| Section Title | Page | Action | Price |
|---|---|---|---|
| Front Cover | Front Cover | ||
| Contents | iii | ||
| Overarching themes | iv | ||
| Extra online content | vi | ||
| Chapter 1: Vectors | 1 | ||
| 1.1: Vector product | 2 | ||
| 1.2: Finding areas | 7 | ||
| 1.3: Scalar triple product | 11 | ||
| 1.4: Straight lines | 16 | ||
| 1.5: Solving geometrical problems | 20 | ||
| Mixed exercise: 1 | 25 | ||
| Chapter 2: Conic sections 1 | 32 | ||
| 2.1: Parametric equations | 33 | ||
| 2.2: Parabolas | 35 | ||
| 2.3: Rectangular hyperbolas | 42 | ||
| 2.4: Tangents and normals | 45 | ||
| 2.5: Loci | 54 | ||
| Mixed exercise: 2 | 57 | ||
| Chapter 3: Conic sections 2 | 62 | ||
| 3.1: Ellipses | 63 | ||
| 3.2: Hyperbolas | 65 | ||
| 3.3: Eccentricity | 67 | ||
| 3.4: Tangents and normals to an ellipse | 74 | ||
| 3.5: Tangents and normals to a hyperbola | 79 | ||
| 3.6: Loci | 83 | ||
| Mixed exercise: 3 | 87 | ||
| Chapter 4: Inequalities | 92 | ||
| 4.1: Algebraic methods | 93 | ||
| 4.2: Using graphs to solve inequalities | 96 | ||
| 4.3: Modulus inequalities | 99 | ||
| Mixed exercise: 4 | 102 | ||
| Review exercise: 1 | 105 | ||
| Chapter 5: The t-formulae | 116 | ||
| 5.1: The t-formulae | 117 | ||
| 5.2: Applying the t-formulae to trigonometric identities | 120 | ||
| 5.3: Solving trigonometric equations | 122 | ||
| 5.4: Modelling with trigonometry | 124 | ||
| Mixed exercise: 5 | 127 | ||
| Chapter 6: Taylor series | 131 | ||
| 6.1: Taylor series | 132 | ||
| 6.2: Finding limits | 135 | ||
| 6.3: Series solutions of differential equations | 139 | ||
| Mixed exercise: 6 | 143 | ||
| Chapter 7: Methods in calculus | 149 | ||
| 7.1: Leibnitz’s theorem and nth derivatives | 150 | ||
| 7.2: L’Hospital’s rule | 152 | ||
| 7.3: The Weierstrass substitution | 156 | ||
| Mixed exercise: 7 | 158 | ||
| Chapter 8: Numerical methods | 161 | ||
| 8.1: Solving first-order differential equations | 162 | ||
| 8.2: Solving second-order differential equations | 169 | ||
| 8.3: Simpson’s rule | 173 | ||
| Mixed exercise: 8 | 175 | ||
| Chapter 9: Reducible differential equations | 179 | ||
| 9.1: First-order differential equations | 180 | ||
| 9.2: Second-order differential equations | 183 | ||
| 9.3: Modelling with differential equations | 185 | ||
| Mixed exercise: 9 | 187 | ||
| Review exercise: 2 | 191 | ||
| Exam-style practice: AS | 198 | ||
| Exam-style practice: A level | 200 | ||
| Answers | 202 | ||
| Index | 241 | ||
| Back Cover | Back Cover |