$35.63

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

By Sue Chandler, Janet Crawshaw, Joan Chambers

US$ 35.63

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Book Description

Theonly textbook that offers complete coverage of the Oxford AQA International A Level Mathematics specification, for first teaching in September 2016.

Written by experienced authors, the clear, international approach ensures strong mathematical understanding and provides exam-focused practice to build Oxford AQA International A Level Mathematics assessment confidence. This textbook helps students to develop the key mathematical, reasoning and problem solving skills needed for A Level 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
- 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 Mathematical Modelling and Kinematics
- 10.1 Mathematical modelling
- 10.2 Vectors and kinematics
- Summary
- Review
- Assessment

- 11 Forces in Equilibrium, Friction and Moments
- 11.1 Types of force and drawing diagrams
- 11.2 The resultant of coplanar forces
- 11.3 Concurrent forces in equilibrium
- 11.4 Moments and rigid objects in equilibrium
- Summary
- Review
- Assessment

- 12 Centres of Mass
- 12.1 Definition of centre of mass
- 12.2 The centre of mass of a system of particles
- 12.3 The centre of mass of a composite lamina
- 12.4 Suspended bodies
- Summary
- Review
- Assessment

- 13 Motion in One, Two and Three Dimensions
- 13.1 Linear motion with constant acceleration
- 13.2 Newton’s Law applied to motionwith variable acceleration in two or three dimensions
- 13.3 Projectiles
- Summary
- Review
- Assessment

- 14 Work, Power and Energy
- 14.1 Work
- 14.2 Power
- 14.3 Energy
- Summary
- Review
- Assessment

- 15 Uniform Circular Motion
- 15.1 Angular velocity and acceleration
- 15.2 Motion in a horizontal circle
- 15.3 The conical pendulum
- Summary
- Review
- Assessment

- Glossary
- Answers
- Index
- Index

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