Oxford University Press
Sue Chandler, Janet Crawshaw, Joan Chambers
Oxford International AQA Examinations: International A2 Level Mathematics Pure and Statistics
US\$ 41.99
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Description
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The only textbook that completely covers the Oxford AQA International A Level Mathematics specification (9660), for first teaching in September 2017.

Written by experienced authors, the clear, international approach ensures strong mathematical understanding and provides exam-focused practice to build assessment confidence. This textbook helps students to develop the key mathematical, reasoning and problem solving skills needed for the exam success and provides an excellent grounding for university study.

Language
English
ISBN
9780198411215
Front Cover
Title Page
Contents
1 Functions
1.1 Functions
1.2 Composite functions
1.3 Inverse functions
1.4 Modulus functions
1.5 Combinations of transformations
1.6 Simplification of rational functions
1.7 Algebraic division
1.8 Partial fractions
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Assessment
2 Binomial Series
2.1 The binomial series for any value of n
2.2 Approximations
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Assessment
3 Trigonometric Functions and Formulae
3.1 The inverse trigonometric functions
3.2 The reciprocal trigonometric functions
3.3 Trigonometric formulae
3.4 Compound angle formulae
3.5 Expressions of the formf(θ) = a cos θ + b sin θ
3.6 Double angle formulae
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Assessment
4 Exponential and Logarithmic Functions
4.1 Exponential growth and decay
4.2 The exponential function
4.3 Natural logarithms
4.4 The logarithmic function
Summary
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Assessment
5 Differentiation
5.1 The derivative of ex
5.2 The derivative of ln x
5.3 The derivatives of sin x and cos x
5.4 Differentiating products, quotients and composite functions
5.5 Implicit functions
5.6 Parametric equations
5.7 Finding dy/dx using parametric equations
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6 Integration
6.1 Standard integrals
6.2 Integrating products by substitution
6.3 Integration by parts
6.4 Integrating fractions
6.5 Special techniques for integrating some trigonometric functions
6.6 Volume of revolution
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Assessment
7 Differential Equations
7.1 First order differential equations with separable variables
7.2 Natural occurrence of differential equations
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Assessment
8 Numerical Methods
8.1 Approximately locating the roots of an equation
8.2 Using the iteration xn + 1 = g(xn)
8.3 Rules to find the approximate value of an area under a curve
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9 Vectors
9.1 Properties of vectors
9.2 Position vectors
9.3 The location of a point in space
9.4 Operations on cartesian vectors
9.5 Properties of a line joining two points
9.6 The equation of a straight line
9.7 Pairs of lines
9.8 The scalar product
9.9 The coordinates of the foot of the perpendicular from a point to a line
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Assessment
10 The Poisson Distribution
10.1 The Poisson distribution
10.2 Cumulative Poisson probability tables
10.3 The Poisson distribution as a limiting case of the binomial distribution
10.4 The sum of independent Poisson variables
10.5 Further applications
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11 Continuous Random Variables
11.1 Continuous random variables
11.2 Cumulative distribution function
11.3 Expectation of X
11.4 Variance of X
11.5 Independent continuous random variables
11.6 Further applications
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12 The Exponential Distribution
12.1 The exponential distribution
12.2 Link between Poisson and exponential distributions
12.3 ‘No memory’ property
12.4 Further applications
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13 The Normal Distribution
13.1 The normal distribution
13.2 The standard normal variable, Z
13.3 Standardising any normal variable
13.4 Finding the z-value that gives a known probability
13.5 Finding x for any normal variable
13.6 Finding an unknown mean or standard deviation or both
13.7 Sum of independent normal random variables
13.8 Further applications
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14 Estimation
14.1 Sampling
14.2 The sample mean X
14.3 Distribution of the sample mean
14.4 Further applications
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15 Hypothesis Tests
15.1 Testing a population proportion, p
15.2 Testing a Poisson mean, λ
15.3 Type I and Type II errors
15.4 Introduction to testing a population mean μ
15.6 Case 1: Testing the mean of a normal distribution with known variance
15.7 Case 2: Test for the mean of adistribution using a normal approximation
15.8 The t-distribution
15.9 Case 3: Test for the mean of anormal distribution with unknown variance and small sample size
15.10 Further applications
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Assessment
Glossary