Oxford University Press
Sue Chandler, Janet Crawshaw, Joan Chambers
Oxford International AQA Examinations: International AS Level Mathematics
US\$ 41.99
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Description
Contents
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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.

Language
English
ISBN
9780198411260
Contents
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
2.3 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
5.3 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
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Assessment
7 Integration
7.1 Indefinite integration
7.2 Using integration to find an area
7.3 The trapezium rule
Summary
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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
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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
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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
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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
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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
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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
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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
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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
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16 Displacement, Speed, Velocity and Acceleration
16.1 Displacement, speed, velocity and acceleration
16.2 Displacement-time and velocity-time graphs
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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
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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
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Assessment
19 Momentum and Impulse
19.1 Momentum and impulse
19.2 Conservation of linear momentum
Summary
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Assessment
Glossary