$38.99

# Oxford International AQA Examinations: International A2 Level Mathematics Pure and Statistics

By Sue Chandler, Janet Crawshaw, Joan Chambers

US$ 38.99

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Book Description

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.

Table of Contents

- Front Cover
- Title Page
- Contents
- About this book
- 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
- Summary
- Review
- Assessment

- 2 Binomial Series
- 2.1 The binomial series for any value of n
- 2.2 Approximations
- Summary
- Review
- 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
- Summary
- Review
- 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
- Review
- 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
- Summary
- Review
- Assessment

- 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
- Summary
- Review
- Assessment

- 7 Differential Equations
- 7.1 First order differential equations with separable variables
- 7.2 Natural occurrence of differential equations
- Summary
- Review
- 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
- Summary
- Review
- Assessment

- 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
- Summary
- Review
- 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
- Summary
- Review
- Assessment

- 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
- Summary
- Review
- Assessment

- 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
- Summary
- Review
- Assessment

- 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
- Summary
- Review
- Assessment

- 14 Estimation
- 14.1 Sampling
- 14.2 The sample mean X
- 14.3 Distribution of the sample mean
- 14.4 Further applications
- Summary
- Review
- Assessment

- 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
- Summary
- Review
- Assessment

- Glossary
- Answers
- Index
- Index

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