BOOK
Edexcel AS and A Level Modular Mathematics Core Mathematics 2 C2
(2016)
Additional Information
Book Details
Abstract
Edexcel and A Level Modular Mathematics C2 features:
- Student-friendly worked examples and solutions, leading up to a wealth of practice questions.
- Sample exam papers for thorough exam preparation.
- Regular review sections consolidate learning.
- Opportunities for stretch and challenge presented throughout the course.
- ‘Escalator section’ to step up from GCSE.
PLUS Free LiveText CD-ROM, containing Solutionbank and Exam Café to support, motivate and inspire students to reach their potential for exam success.
- Solutionbank contains fully worked solutions with hints and tips for every question in the Student Books.
- Exam Café includes a revision planner and checklist as well as a fully worked examination-style paper with examiner commentary.
Table of Contents
| Section Title | Page | Action | Price |
|---|---|---|---|
| Cover | Cover | ||
| Contents | ii | ||
| About this book | iv | ||
| Chapter 1: Algebra and functions | 1 | ||
| 1.1: You can simplify algebraic fractions by division | 2 | ||
| 1.2: Dividing a polynomial by (x ± p) | 6 | ||
| 1.3: Factorising a polynomial using the factor theorem | 11 | ||
| 1.4: Using the remainder theorem | 14 | ||
| Summary of key points | 17 | ||
| Chapter 2: The sine and cosine rule | 18 | ||
| 2.1: Using the sine rule to find missing sides | 19 | ||
| 2.2: Using the sine rule to find unknown angles | 22 | ||
| 2.3: The rule and finding two solutions for a missing angle | 24 | ||
| 2.4: Using the cosine rule to find an unknown side | 25 | ||
| 2.5: Using the cosine rule to find a missing angle | 28 | ||
| 2.6: Using the sine rule, the cosine rule and Pythagoras’ Theorem | 31 | ||
| 2.7: Calculating the area of a triangle using sine | 33 | ||
| Summary of key points | 37 | ||
| Chapter 3: Exponentials and logarithms | 38 | ||
| 3.1: The function y=ax | 39 | ||
| 3.2: Writing expressions as a logarithm | 41 | ||
| 3.3: Calculating using logarithms to base 10 | 42 | ||
| 3.4: Laws of logarithms | 43 | ||
| 3.5: Solving equations of the form ax=b | 45 | ||
| 3.6: Changing the base of logarithms | 47 | ||
| Summary of key points | 50 | ||
| Chapter 4: Coordinate geometry in the (x , y) plane | 51 | ||
| 4.1: The mid-point of a line | 52 | ||
| 4.2: The distance between two points on a line | 60 | ||
| 4.3: The equation of a circle | 63 | ||
| Summary of key points | 71 | ||
| Review Exercise 1 | 73 | ||
| Chapter 5: The binomial expansion | 76 | ||
| 5.1: Pascal’s triangle | 77 | ||
| 5.2: Combinations and factorial notation | 79 | ||
| 5.3: Using (n/r) in the binomial expansion | 80 | ||
| 5.4: Expanding (a+bx)n using the binomial expansion | 82 | ||
| Summary of key points | 86 | ||
| Chapter 6: Radian measure and its applications | 87 | ||
| 6.1: Using radians to measure angles | 88 | ||
| 6.2: The length of the arc of a circle | 90 | ||
| 6.3: The area of a sector of a circle | 93 | ||
| 6.4: The area of a segment of a circle | 94 | ||
| Summary of key points | 101 | ||
| Chapter 7: Geometric sequences and series | 102 | ||
| 7.1: Geometric sequences | 103 | ||
| 7.2: Geometric progressions and the nth term | 104 | ||
| 7.3: Using geometric sequences to solve problems | 107 | ||
| 7.4: The sum of a geometric series | 109 | ||
| 7.5: The sum to infinity of a geometric series | 112 | ||
| Summary of key points | 118 | ||
| Chapter 8: Graphs of trigonometric functions | 119 | ||
| 8.1: Sine, cosine and tangent functions | 120 | ||
| 8.2: The values of trigonometric functions in the four quadrants | 124 | ||
| 8.3: Exact values and surds for trigonometrical functions | 127 | ||
| 8.4: Graphs of sine ϴ, cos ϴ and tan ϴ | 128 | ||
| 8.5: Simple transformations of sine ϴ, cos ϴ and tan ϴ | 131 | ||
| Summary of key points | 136 | ||
| Review Exercise 2 | 138 | ||
| Chapter 9: Differentiation | 141 | ||
| 9.1: Increasing and decreasing functions | 142 | ||
| 9.2: Stationary points, maximum, minimum and points of inflexion | 144 | ||
| 9.3: Using turning points to solve problems | 148 | ||
| Summary of key points | 153 | ||
| Chapter 10: Trigonometrical identities and simple equations | 154 | ||
| 10.1: Simple trigonometrical identities | 155 | ||
| 10.2: Solving simple trigonometrical equations | 160 | ||
| 10.3: Solving equations of the form sin(nϴ+a ), cos(nϴ+a ) and tan(nϴ+a ) = k | 163 | ||
| 10.4: Solving quadratic trigonometrical equations | 165 | ||
| Summary of key points | 170 | ||
| Chapter 11: Integration | 171 | ||
| 11.1: Simple definite integration | 172 | ||
| 11.2: Area under a curve | 174 | ||
| 11.3: Area under a curve that gives negative values | 176 | ||
| 11.4: Area between a straight line and a curve | 179 | ||
| 11.5: The trapezium rule | 184 | ||
| Summary of key points | 192 | ||
| Review Exercise 3 | 193 | ||
| Practice paper | 196 | ||
| Examination style paper | 198 | ||
| Formulae you need to remember | 200 | ||
| List of symbols and notation | 201 | ||
| Answers | 204 | ||
| Index | 226 |