\$38.99

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

By Sue Chandler, Janet Crawshaw, Joan Chambers
US\$ 38.99
The publisher has enabled DRM protection, which means that you need to use the BookFusion iOS, Android or Web app to read this eBook. This eBook cannot be used outside of the BookFusion platform.
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.

• 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
• 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