
Edexcel AS and A Level Modular Mathematics Core Mathematics 2 C2
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Content
- Cover
- Contents
- About this book
- Chapter 1: Algebra and functions
- 1.1: You can simplify algebraic fractions by division
- 1.2: Dividing a polynomial by (x ± p)
- 1.3: Factorising a polynomial using the factor theorem
- 1.4: Using the remainder theorem
- Summary of key points
- Chapter 2: The sine and cosine rule
- 2.1: Using the sine rule to find missing sides
- 2.2: Using the sine rule to find unknown angles
- 2.3: The rule and finding two solutions for a missing angle
- 2.4: Using the cosine rule to find an unknown side
- 2.5: Using the cosine rule to find a missing angle
- 2.6: Using the sine rule, the cosine rule and Pythagoras' Theorem
- 2.7: Calculating the area of a triangle using sine
- Summary of key points
- Chapter 3: Exponentials and logarithms
- 3.1: The function y=ax
- 3.2: Writing expressions as a logarithm
- 3.3: Calculating using logarithms to base 10
- 3.4: Laws of logarithms
- 3.5: Solving equations of the form ax=b
- 3.6: Changing the base of logarithms
- Summary of key points
- Chapter 4: Coordinate geometry in the (x , y) plane
- 4.1: The mid-point of a line
- 4.2: The distance between two points on a line
- 4.3: The equation of a circle
- Summary of key points
- Review Exercise 1
- Chapter 5: The binomial expansion
- 5.1: Pascal's triangle
- 5.2: Combinations and factorial notation
- 5.3: Using (n/r) in the binomial expansion
- 5.4: Expanding (a+bx)n using the binomial expansion
- Summary of key points
- Chapter 6: Radian measure and its applications
- 6.1: Using radians to measure angles
- 6.2: The length of the arc of a circle
- 6.3: The area of a sector of a circle
- 6.4: The area of a segment of a circle
- Summary of key points
- Chapter 7: Geometric sequences and series
- 7.1: Geometric sequences
- 7.2: Geometric progressions and the nth term
- 7.3: Using geometric sequences to solve problems
- 7.4: The sum of a geometric series
- 7.5: The sum to infinity of a geometric series
- Summary of key points
- Chapter 8: Graphs of trigonometric functions
- 8.1: Sine, cosine and tangent functions
- 8.2: The values of trigonometric functions in the four quadrants
- 8.3: Exact values and surds for trigonometrical functions
- 8.4: Graphs of sine ?, cos ? and tan ?
- 8.5: Simple transformations of sine ?, cos ? and tan ?
- Summary of key points
- Review Exercise 2
- Chapter 9: Differentiation
- 9.1: Increasing and decreasing functions
- 9.2: Stationary points, maximum, minimum and points of inflexion
- 9.3: Using turning points to solve problems
- Summary of key points
- Chapter 10: Trigonometrical identities and simple equations
- 10.1: Simple trigonometrical identities
- 10.2: Solving simple trigonometrical equations
- 10.3: Solving equations of the form sin(n?+a ), cos(n?+a ) and tan(n?+a ) = k
- 10.4: Solving quadratic trigonometrical equations
- Summary of key points
- Chapter 11: Integration
- 11.1: Simple definite integration
- 11.2: Area under a curve
- 11.3: Area under a curve that gives negative values
- 11.4: Area between a straight line and a curve
- 11.5: The trapezium rule
- Summary of key points
- Review Exercise 3
- Practice paper
- Examination style paper
- Formulae you need to remember
- List of symbols and notation
- Answers
- Index
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