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.

contains fully worked solutions with hints and tips for every question in the Student Books.**Solutionbank**includes a revision planner and checklist as well as a fully worked examination-style paper with examiner commentary.**Exam Café**

### 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 |