$35.99

# Oxford International AQA Examinations: International AS Level Mathematics

By Sue Chandler, Janet Crawshaw, Joan Chambers

US$ 35.99

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Book Description

The only textbook that completely covers the Oxford AQA International AS Level Mathematics specification, 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 Oxford AQA International AS Level Mathematics assessment confidence. This textbook helps students to develop the key mathematical, reasoning and problem solving skills needed for exam success and provides an excellent grounding for further study at university level.

Table of Contents

- Contents
- About this book
- 1 Expanding Brackets, Surds and Indices
- 1.1 Algebraic expressions
- 1.2 Expansion of Two Brackets
- 1.3 Square roots and other roots
- 1.4 Surds
- 1.5 Indices
- Summary
- Review
- Assessment

- 2 Quadratic Polynomials and Equations
- 2.1 Quadratic polynomials
- 2.2 Quadratic equations
- 2.3 Solution by completing the square
- 2.4 The formula for solving a quadratic equation
- 2.5 Properties of the roots of a quadratic equation
- 2.6 Simultaneous equations
- Summary
- Review
- Assessment

- 3 Algebraic Division
- 3.1 Division of a polynomial by x − a
- 3.2 The remainder theorem and thefactor theorem
- 3.3 The factors of a3 − b3 and a3 + b3
- Review
- Assessment

- 4 Functions and Graphs
- 4.1 Functions
- 4.2 Graphical interpretation of equations
- 4.3 Inequalities
- 4.4 Transformations of graphs
- Summary
- Review
- Assessment

- 5 Coordinate Geometry
- 5.1 Lines joining two points
- 5.2 Gradient
- 5.3 The equation of a straight line
- 5.4 Intersection
- Summary
- Review
- Assessment

- 6 Differentiation
- 6.1 Chords, tangents, normals and gradients
- 6.2 Differentiation
- 6.3 Gradients of tangents and normals
- 6.4 Increasing and decreasing functions
- 6.5 Stationary points
- 6.6 Maximum and minimum points
- Summary
- Review
- Assessment

- 7 Integration
- 7.1 Indefinite integration
- 7.2 Using integration to find an area
- 7.3 The trapezium rule
- Summary
- Review
- Assessment

- 8 Sequences and Series
- 8.1 Defining a sequence
- 8.2 Series
- 8.3 Arithmetic series
- 8.4 Geometric series
- 8.5 The Binomial theorem
- Summary
- Review
- Assessment

- 9 Coordinate Geometry and Circles
- 9.1 The equation of a circle
- 9.2 Geometric properties of circles
- 9.3 Tangents to circles
- Summary
- Review
- Assessment

- 10 Trigonometry
- 10.1 Trigonometric ratios of acute angles
- 10.2 The sine rule and cosine rule
- 10.3 The area of a triangle
- Summary
- Review
- Assessment

- 11 Trigonometric Functions and Equations
- 11.1 Angle units
- 11.2 The length of an arc
- 11.3 The area of a sector
- 11.4 The trigonometric functions
- Summary
- Review
- Assessment

- 12 Exponentials and Logarithms
- 12.1 Exponential functions
- 12.2 Logarithms
- 12.3 The laws of logarithms
- 12.4 Equations containing logarithmsor x as a power
- Summary
- Review
- Assessment

- 13 Probability
- 13.1 Introduction to probability
- 13.2 Combined events
- 13.3 Conditional events
- 13.4 Tree diagrams
- 13.5 Further applications
- Summary
- Review
- Assessment

- 14 Discrete Random Variables
- 14.1 Discrete variables
- 14.2 Discrete random variables
- 14.3 E(X), the expectation of X
- 14.4 The variance and standard deviation of X
- 14.5 Sum or difference of two independent random variables
- 14.6 Further applications
- Summary
- Review
- Assessment

- 15 Bernoulli and Binomial Distributions
- 15.1 The Bernoulli distribution
- 15.2 The binomial distribution
- 15.3 The cumulative binomial distribution function
- 15.4 Mean, variance and standard deviation of a binomial distribution
- 15.5 Further applications
- Summary
- Review
- Assessment

- 16 Displacement, Speed, Velocity and Acceleration
- 16.1 Displacement, speed, velocity and acceleration
- 16.2 Displacement-time and velocity-time graphs
- Summary
- Review
- Assessment

- 17 Motion in a Straight Line
- 17.1 Equations of motion with constant acceleration
- 17.2 Free fall motion under gravity
- 17.3 Motion in a straight line with variable acceleration
- Summary
- Review
- Assessment

- 18 Forces and Newton’s Laws
- 18.1 Types of force
- 18.2 Newton’s first law of motion
- 18.3 Connected particles
- 18.4 Dynamic friction
- Summary
- Review
- Assessment

- 19 Momentum and Impulse
- 19.1 Momentum and impulse
- 19.2 Conservation of linear momentum
- Summary
- Review
- Assessment

- Glossary
- Answers
- Index

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