BOOK
Edexcel A level Mathematics Pure Mathematics Year 2 Textbook + e-book
Greg Attwood | Jack Barraclough | Ian Bettison | David Goldberg | Alistair Macpherson | Mr Author
(2017)
Additional Information
Book Details
Abstract
Exam Board: Edexcel
Level: A level
Subject: 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 Mathematics.
This book can be used alongside the Year 1 book to cover all the content needed for the Edexcel A level Pure Mathematics exams.
- Fully updated to match the 2017 specifications, with more of a focus on problem-solving and modelling as well as supporting the new calculators.
-
FREE additional online content to support your independent learning, including full worked solutions for every question in the book (SolutionBank), GeoGebra interactives and Casio calculator tutorials.
-
Includes access to an online digital edition (valid for 3 years once activated).
-
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 | ii | ||
| Overarching themes | iv | ||
| Extra online content | vi | ||
| Chapter 1: Algebraic methods | 1 | ||
| 1.1: Proof by contradiction | 2 | ||
| 1.2: Algebraic fractions | 5 | ||
| 1.3: Partial fractions | 9 | ||
| 1.4: Repeated factors | 12 | ||
| 1.5: Algebraic division | 14 | ||
| Mixed exercise: 1 | 19 | ||
| Chapter 2: Functions and graphs | 22 | ||
| 2.1: The modulus function | 23 | ||
| 2.2: Functions and mappings | 27 | ||
| 2.3: Composite functions | 32 | ||
| 2.4: Inverse functions | 36 | ||
| 2.5: y = |f(x)| and y = f(|x|) | 40 | ||
| 2.6: Combining transformations | 44 | ||
| 2.7: Solving modulus problems | 48 | ||
| Mixed exercise: 2 | 53 | ||
| Chapter 3: Sequences and series | 59 | ||
| 3.1: Arithmetic sequences | 60 | ||
| 3.2: Arithmetic series | 63 | ||
| 3.3: Geometric sequences | 66 | ||
| 3.4: Geometric series | 70 | ||
| 3.5: Sum to infinity | 73 | ||
| 3.6: Sigma notation | 76 | ||
| 3.7: Recurrence relations | 79 | ||
| 3.8: Modelling with series | 83 | ||
| Mixed exercise: 3 | 86 | ||
| Chapter 4: Binomial expansion | 91 | ||
| 4.1: Expanding (1 + x)n | 92 | ||
| 4.2: Expanding (α + bx)n | 97 | ||
| 4.3: Using partial fractions | 101 | ||
| Mixed exercise: 4 | 104 | ||
| Review exercise: 1 | 107 | ||
| Chapter 5: Radians | 113 | ||
| 5.1: Radian measure | 114 | ||
| 5.2: Arc length | 118 | ||
| 5.3: Areas of sectors and segments | 122 | ||
| 5.4: Solving trigonometric equations | 128 | ||
| 5.5: Small angle approximations | 133 | ||
| Mixed exercise: 5 | 135 | ||
| Chapter 6: Trigonometric functions | 142 | ||
| 6.1: Secant, cosecant and cotangent | 143 | ||
| 6.2: Graphs of sec x, cosec x and cot x | 145 | ||
| 6.3: Using sec x, cosec x and cot x | 149 | ||
| 6.4: Trigonometric identities | 153 | ||
| 6.5: Inverse trigonometric functions | 158 | ||
| Mixed exercise: 6 | 162 | ||
| Chapter 7: Trigonometry and modelling | 166 | ||
| 7.1: Addition formulae | 167 | ||
| 7.2: Using the angle addition formulae | 171 | ||
| 7.3: Double-angle formulae | 174 | ||
| 7.4: Solving trigonometric equations | 177 | ||
| 7.5: Simplifying α cos x ± b sin x | 181 | ||
| 7.6: Proving trigonometric identities | 186 | ||
| 7.7: Modelling with trigonometric functions | 189 | ||
| Mixed exercise: 7 | 192 | ||
| Chapter 8: Parametric equations | 197 | ||
| 8.1: Parametric equations | 198 | ||
| 8.2: Using trigonometric identities | 202 | ||
| 8.3: Curve sketching | 206 | ||
| 8.4: Points of intersection | 209 | ||
| 8.5: Modelling with parametric equations | 213 | ||
| Mixed exercise: 8 | 220 | ||
| Review exercise: 2 | 225 | ||
| Chapter 9: Differentiation | 231 | ||
| 9.1: Differentiating sin x and cos x | 232 | ||
| 9.2: Differentiating exponentials and logarithms | 235 | ||
| 9.3: The chain rule | 237 | ||
| 9.4: The product rule | 241 | ||
| 9.5: The quotient rule | 243 | ||
| 9.6: Differentiating trigonometric functions | 246 | ||
| 9.7: Parametric differentiation | 250 | ||
| 9.8: Implicit differentiation | 253 | ||
| 9.9: Using second derivatives | 257 | ||
| 9.10: Rates of change | 261 | ||
| Mixed exercise: 9 | 265 | ||
| Chapter 10: Numerical methods | 273 | ||
| 10.1: Locating roots | 274 | ||
| 10.2: Iteration | 278 | ||
| 10.3: The Newton–Raphson method | 282 | ||
| 10.4: Applications to modelling | 286 | ||
| Mixed exercise: 10 | 289 | ||
| Chapter 11: Integration | 293 | ||
| 11.1: Integrating standard functions | 294 | ||
| 11.2: Integrating f(αx + b) | 296 | ||
| 11.3: Using trigonometric identities | 298 | ||
| 11.4: Reverse chain rule | 300 | ||
| 11.5: Integration by substitution | 303 | ||
| 11.6: Integration by parts | 307 | ||
| 11.7: Partial fractions | 310 | ||
| 11.8: Finding areas | 313 | ||
| 11.9: The trapezium rule | 318 | ||
| 11.10: Solving differential equations | 322 | ||
| 11.11: Modelling with differential equations | 326 | ||
| Mixed exercise: 11 | 329 | ||
| Chapter 12: Vectors | 336 | ||
| 12.1: 3D coordinates | 337 | ||
| 12.2: Vectors in 3D | 339 | ||
| 12.3: Solving geometric problems | 344 | ||
| 12.4: Application to mechanics | 347 | ||
| Mixed exercise: 12 | 349 | ||
| Review exercise: 3 | 352 | ||
| Exam-style practice: Paper 1 | 358 | ||
| Exam-style practice: Paper 2 | 361 | ||
| Answers | 365 | ||
| Index | 423 | ||
| Back Cover | Back Cover |