Complete International Mathematics for Cambridge IGCSE® Extended

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Description

Contents

Reviews

Language

English

ISBN

9780198307778

Front Cover

Title Page

Contents

Introduction

What’s on the website?

1 Using your graphic display calculator

1 Using templates in basic calculations

1.1 Fractions

1.2 Square roots

1.3 n th roots

1.4 Exponents

1.5 Absolute value

1.6 Logarithms

2 Working with graphs

2.1 Entering a function and choosing a window

2.2 Producing a table of values for a function

2.3 Finding zeros (roots)

2.4 Finding a local minimum

2.5 Finding a local maximum

2.6 Finding the intersection point of two graphs

3 Working with data

3.1 Calculation of basic statistics from a list

3.2 Calculation of basic statistics from a frequency table

3.3 Finding a linear regression equation

3.4 Drawing a scatter graph and the graph of the equation of linear regression

2 Number

2.1 Vocabulary and notation for sets of numbers

2.2 Arithmetic

2.3 Number facts and sequences

2.4 Approximations and estimation

2.5 Standard form

2.6 Ratio and proportion

2.7 Percentages

2.8 Speed, distance and time

3 Algebra 1

3.1 Negative numbers

3.2 Directed numbers

3.3 Formulae and expressions

3.4 Brackets and simplifying

3.5 Linear equations

3.6 Problems solved by linear equations

3.7 Simultaneous equations

3.8 Problems solved by simultaneous equations

3.9 Factorising

3.10 Quadratic equations

3.11 Problems solved by quadratic equations

4 Mensuration

4.1 Area

4.2 The circle

4.3 Arc length and sector area

4.4 Chord of a circle

4.5 Volume

4.6 Surface area

5 Functions 1

5.1 Function notation

5.2 Inverse function

5.4 Sketch graphs

5.5 Interpreting graphs

5.6 The quadratic function

6 Investigations and mathematical modelling

6.1 Investigations

6.2 Mathematical modelling

7 Geometry

7.1 Fundamental results

7.2 Pythagoras’ theorem

7.3 Symmetry

7.4 Similarity

7.5 Circle properties

8 Algebra 2

8.1 Inequalities

8.2 Indices

8.3 Rearrangement and evaluation of formulae

8.4 Algebraic fractions

8.5 Difference method, n th term of a sequence

8.6 Geometric series

8.7 Variation, direct and inverse

9 Functions 2

9.1 Drawing and using graphs

9.2 Gradient of a line

9.3 The forms y = mx + c and ax + by = d

9.4 Curved graphs

9.5 Graphical solution of equations

9.6 Transformations of the graph of y = f(x)

9.7 Logarithm function

10 Trigonometry

10.1 Right-angled triangles

10.2 Sine, cosine and tangent for 0°, 30°, 45°, 60°, 90°

10.3 Three-dimensional problems

10.4 Sine, cosine, tangent for any angle

10.5 The sine rule

10.6 The cosine rule

11 Vectors and transformations

11.1 Vectors

11.2 Column vectors

11.3 Simple transformations

11.4 Combined transformations

12 Sets

12.1 Set notation

12.2 Logical problems

13 Probability

13.1 Probability

13.2 Mutually exclusive and independent events

13.3 Tree diagrams

14 Statistics

14.1 Reading and interpretation of data or graphs

14.2 Averages, range and quartiles

14.3 Histograms

14.4 Cumulative frequency

14.5 Scatter diagrams

15 Investigations and mathematical modelling 2

15.1 Investigations

15.2 Mathematical modelling

Answers

2 Number

3 Algebra 1

4 Mensuration

5 Functions 1

6 Investigations and mathematical modelling

7 Geometry

8 Algebra 2

9 Functions 2

10 Trigonometry

11 Vectors and transformations

12 Sets

13 Probability

14. Statistics

15 Investigations and mathematical modelling 2

Index

Back Cover

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