
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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