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