BOOK

## Edexcel AS and A Level Modular Mathematics Core Mathematics 1 C1

(2016)

### Additional Information

#### Book Details

### Abstract

**Edexcel** **and A Level Modular Mathematics C1** 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: Simplifying expressions by collecting like terms | 2 | ||

1.2: The rules of indices | 3 | ||

1.3: Expanding an expression | 4 | ||

1.4: Factorising expressions | 5 | ||

1.5: Factorising quadratic expressions | 6 | ||

1.6: The rules of indices for all rational exponents | 8 | ||

1.7: The use and manipulation of surds | 10 | ||

1.8: Rationalising the denominator of a fraction when it is a surd | 11 | ||

Summary of key points | 14 | ||

Chapter 2: Quadratic functions | 15 | ||

2.1: Plotting the graphs of quadratic functions | 16 | ||

2.2: Solving quadratic equations by factorisation | 17 | ||

2.3: Completing the square | 19 | ||

2.4: Solving quadratic equations by completing the square | 20 | ||

2.5: Solving quadratic equations by using the formula | 22 | ||

2.6: Sketching graphs of quadratic equations | 23 | ||

Summary of key points | 26 | ||

Chapter 3: Equations and inequalities | 27 | ||

3.1: Solving simultaneous linear equations by elimination | 28 | ||

3.2: Solving simultaneous linear equations by substitution | 29 | ||

3.3: Using substitution when one equation is linear and the other is quadratic | 30 | ||

3.4: Solving linear inequalities | 31 | ||

3.5: Solving quadratic inequalities | 35 | ||

Summary of key points | 40 | ||

Chapter 4: Sketching curves | 41 | ||

4.1: Sketching the graphs of cubic functions | 42 | ||

4.2: Interpreting graphs of cubic functions | 47 | ||

4.3: Sketching the reciprocal function | 49 | ||

4.4: Using the intersection points of graphs of functions to solve equations | 52 | ||

4.5: The effect of the transformations f(x+a), f(x-a), and f(x)+a | 55 | ||

4.6: The effect of the transformations f(ax) and af(x) | 60 | ||

4.7: Performing transformations on the sketches of curves | 64 | ||

Summary of key points | 68 | ||

Review Exercise 1 | 69 | ||

Chapter 5: Coordinate geometry in the (x , y) plane | 73 | ||

5.1: The equation of a straight line in the form y=mx+c or ax+by+c=0 | 74 | ||

5.2: The gradient of a straight line | 77 | ||

5.3: The equation of a straight line of the form y-y1=m(x-x1) | 79 | ||

5.4: The formula for finding the equation of a straight line | 81 | ||

5.5: The conditions for two straight lines to be parallel or perpendicular | 84 | ||

Summary of key points | 90 | ||

Chapter 6: Sequences and series | 91 | ||

6.1: Introduction to sequences | 92 | ||

6.2: The nth term of a sequence | 93 | ||

6.3: Sequences generated by a recurrence relationship | 95 | ||

6.4: Arithmetic sequences | 98 | ||

6.5: Arithmetic series | 100 | ||

6.6: The sum to n of an arithmetic series | 103 | ||

6.7: Using ∑ notation | 107 | ||

Summary of key points | 111 | ||

Chapter 7: Differentiation | 112 | ||

7.1: The derivative of f(x) as the gradient of the tangent to the graph y=f(x) | 113 | ||

7.2: Finding the formula for the gradient of xn | 116 | ||

7.3: Finding the gradient formula of simple functions | 120 | ||

7.4: The gradient formula for a function where the powers of x are real numbers | 124 | ||

7.5: Expanding or simplifying functions to make them easier to differentiate | 125 | ||

7.6: Finding second order derivatives | 126 | ||

7.7: Finding the rate of change of a function at a particular point | 127 | ||

7.8: Finding the equation of the tangent and normal to a curve at a point | 128 | ||

Summary of key points | 132 | ||

Chapter 8: Integration | 133 | ||

8.1: Integrating xn | 134 | ||

8.2: Integrating simple expressions | 136 | ||

8.3: Using the integral sign | 137 | ||

8.4: Simplifying expressions before integrating | 138 | ||

8.5: Finding the constant of integration | 140 | ||

Summary of key points | 142 | ||

Review Exercise 2 | 143 | ||

Practice paper | 147 | ||

Examination style paper | 149 | ||

Formulae you need to remember | 152 | ||

List of symbols and notation | 153 | ||

Answers | 156 | ||

Index | 184 |