## Edexcel AS and A Level Modular Mathematics Core Mathematics 2 C2

(2016)

### 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.

Section Title Page Action Price
Cover Cover
Contents ii
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