Cambridge International AS & A Level Mathematics Pure Mathematics 1 second edition
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Description
Contents
Reviews
Language
English
ISBN
9781510420755
Cover
Half Title
Title Page
Copyright
Contents
Introduction
How to use this book
The Cambridge International AS & A Level Mathematics 9709 syllabus
1 Problem solving
1.1 Solving problems
1.2 Writing mathematics
1.3 Proof
2 Algebra
2.1 Using and manipulating surds
2.2 Quadratic equations
2.3 Solving quadratic equations
2.4 Equations that cannot be factorised
2.5 The graphs of quadratic functions
2.6 The quadratic formula
2.7 Simultaneous equations
2.8 Inequalities
3 Coordinate geometry
3.1 Coordinates
3.2 Plotting, sketching and drawing
3.3 The gradient of a line
3.4 The distance between two points
3.5 The midpoint of a line joining two points
3.6 The equation of a straight line
3.7 Finding the equation of a line
3.8 The intersection of two lines
3.9 Drawing curves
3.10 The circle
3.11 The intersection of a line and a curve
4 Sequences and series
4.1 Definitions and notation
4.2 Arithmetic progressions
4.3 Geometric progressions
4.4 Binomial expansions
5 Functions and transformations
5.1 The language of functions
5.2 Composite functions
5.3 Inverse functions
5.4 Using transformations to sketch curves
5.5 The equation of a transformation of a curve
5.6 Combining transformations
6 Differentiation
6.1 The gradient of a curve
6.2 Finding the gradient of a curve
6.3 Finding the gradient from first principles
6.4 Differentiating by using standard results
6.5 Using differentiation
6.6 Tangents and normals
6.7 Maximum and minimum points
6.8 Increasing and decreasing functions
6.9 Points of inflexion
6.10 The second derivative
6.11 Applications
6.12 The chain rule
7 Integration
7.1 Reversing differentiation
7.2 Finding the area under a curve
7.3 Area as the limit of a sum
7.4 Areas below the x-axis
7.5 The area between two curves
7.6 The area between a curve and the y-axis
7.7 The reverse chain rule
7.8 Improper integrals
7.9 Finding volumes by integration
8 Trigonometry
8.1 Trigonometry background
8.2 Trigonometrical functions
8.3 Trigonometrical functions for angles of any size
8.4 The sine and cosine graphs
8.5 The tangent graph
8.6 Solving equations using graphs of trigonometrical functions
8.7 Circular measure
8.8 The length of an arc of a circle
8.9 The area of a sector of a circle
8.10 Transformations and graphs of trigonometrical functions
Answers
Index
Back Cover
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