### Additional Information

#### Book Details

### Abstract

**Edexcel** **and A Level Modular Mathematics C3** 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: Algebraic fractions | 1 | ||

1.1: Simplify algebraic fractions by cancelling common factors | 2 | ||

1.2: Multiplying and dividing algebraic fractions | 4 | ||

1.3: Adding and subtracting algebraic fractions | 6 | ||

1.4: Dividing algebraic fractions and the remainder theorem | 8 | ||

Summary of key points | 11 | ||

Chapter 2: Functions | 12 | ||

2.1: Mapping diagrams and graphs of operations | 13 | ||

2.2: Functions and function notation | 14 | ||

2.3: Range, mapping diagrams, graphs and definitions of functions | 17 | ||

2.4: Using composite functions | 20 | ||

2.5: Finding and using inverse functions | 23 | ||

Summary of key points | 30 | ||

Chapter 3: The exponential and log functions | 31 | ||

3.1: Introducing exponential functions of the form y=ax | 32 | ||

3.2: Graphs of exponential functions and modelling using y=ex | 33 | ||

3.3: Using ex and the inverse of the exponential function logex | 36 | ||

Summary of key points | 44 | ||

Chapter 4: Numerical methods | 45 | ||

4.1: Finding approximate roots of f(x)=0 graphically | 46 | ||

4.2: Using iterative and algebraic methods to find approximate roots of f(x)=0 | 50 | ||

Summary of key points | 57 | ||

Review Exercise 1 | 58 | ||

Chapter 5: Transforming graphs of functions | 63 | ||

5.1: Sketching graphs of the modulus function y=|f(x)| | 64 | ||

5.2: Sketching graphs of the function y=f(|x|) | 67 | ||

5.3: Solving equations involving a modulus | 69 | ||

5.4: Applying a combination of transformations to sketch curves | 72 | ||

5.5: Sketching transformations and labelling the coordinates of given point | 77 | ||

Summary of key points | 82 | ||

Chapter 6: Trigonometry | 83 | ||

6.1: The functions secant ϴ, cosecant ϴ, and cotangent ϴ | 84 | ||

6.2: The graphs of secant ϴ, cosecant ϴ, and cotangent ϴ | 87 | ||

6.3: Simplifying expressions, proving identities and solving equations using sec ϴ, cosec ϴ, and cot ϴ | 90 | ||

6.4: Using the identities 1+tan2ϴ=sec2ϴ and 1+cot2ϴ=cosec2ϴ | 93 | ||

6.5: Using inverse trigonometrical functions and their graphs | 98 | ||

Summary of key points | 104 | ||

Chapter 7: Further trigonometric identities and their applications | 106 | ||

7.1: Using addition trigonometrical formulae | 107 | ||

7.2: Using double angle trigonometrical formulae | 113 | ||

7.3: Solving equations and proving identities using double angle formulae | 117 | ||

7.4: Using the form acosϴ+bsinϴ in solving trigonometrical problems | 120 | ||

7.5: The factor formulae | 124 | ||

Summary of key points | 131 | ||

Chapter 8: Differentiation | 132 | ||

8.1: Differentiating using the chain rule | 133 | ||

8.2: Differentiating using the product rule | 135 | ||

8.3: Differentiating using the quotient rule | 137 | ||

8.4: Differentiating the exponential function | 138 | ||

8.5: Finding the differential of the logarithmic function | 140 | ||

8.6: Differentiating sin x | 141 | ||

8.7: Differentiating cos x | 143 | ||

8.8: Differentiating tan x | 144 | ||

8.9: Differentiating further trigonometrical functions | 145 | ||

8.10: Differentiating functions formed by combining trigonometrical, exponential, logarithmic and polynomial functions | 147 | ||

Summary of key points | 151 | ||

Review Exercise 2 | 152 | ||

Practice paper | 157 | ||

Examination style paper | 159 | ||

Formulae you need to remember | 161 | ||

List of symbols and notation | 162 | ||

Answers | 165 | ||

Index | 193 |