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Mathematics Standard Level

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ISBN-10: 0198390114

ISBN-13: 9780198390114

Edition: 2012

Authors: Paula La Rondie, Ed Kemp, Laurie Buchanan, Jim Fensom, Jill Stevens

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Book details

Copyright year: 2012
Publisher: Oxford University Press
Publication date: 7/12/2012
Binding: Mixed Media
Pages: 800
Size: 8.00" wide x 10.00" long x 1.25" tall
Weight: 3.740

Functions
Introducing functions
The domain and range of a relation on a Cartesian plane
Function notation
Composite functions
Inverse functions
Transforming functions
Quadratic functions and equations
Solving quadratic equations
The quadratic formula
Roots of quadratic equations
Graphs of quadratic functions
Applications of quadratics
Probability
Definitions
Venn diagrams
Sample space diagrams and the product rule
Conditional probability
Probability tree diagrams
Exponential and logarithmic functions
Exponents
Solving exponential equations
Exponential functions
Properties of logarithms
Logarithmic functions
Laws of logarithms
Exponential and logarithmic equations
Applications of exponential and logarithmic functions
Rational functions
Reciprocals
The reciprocal function
Rational functions
Patterns, sequences and series
Patterns and sequences
Arithmetic sequences
Geometric sequences
Sigma (∑) notation and series
Arithmetic series
Geometric series
Convergent series and sums to infinity
Applications of geometric and arithmetic patterns
Pascal's triangle and the binomial expansion
Limits and derivatives
Limits and convergence
The tangent line and derivative of x<sup>n</sup>
More rules for derivatives
The chain rule and higher order derivatives
Rates of change and motion in a line
The derivative and graphing
More on extrema and optimization problems
Descriptive statistics
Univariate analysis
Presenting data
Measures of central tendency
Measures of dispersion
Cumulative frequency
Variance and standard deviation
Integration
Antiderivatives and the indefinite integral
More on indefinite integrals
Area and definite integrals
Fundamental Theorem of Calculus
Area between two curves
Volume of revolution
Definite integrals with linear motion and other problems
Bivariate analysis
Scatter diagrams
The line of best fit
Least squares regression
Measuring correlation
Trigonometry
Right-angled triangle trigonometry
Applications of right-angled triangle trigonometry
Using the coordinate axes in trigonometry
The sine rule
The cosine rule
Area of a triangle
Radians, arcs and sectors
Vectors
Vectors: basic concepts
Addition and subtraction of vectors
Scalar product
Vector equation of a line
Application of vectors
Circular functions
Using the unit circle
Solving equations using the unit circle
Trigonometric identities
Graphing circular functions
Translations and stretches of trigonometric functions
Combined transformations with sine and cosine functions
Modeling with sine and cosine functions
Calculus with trigonometric functions
Derivatives of trigonometric functions
More practice withderivatives
Integral of sine and cosine
Revisiting linear motion
Probability distributions
Random variables
The binomial distribution
The normal distribution
The Exploration
About the exploration
Internal assessment criteria
How the exploration is marked
Academic Honesty
Recordkeeping
Choosing a topic
Getting started
Using a graphic display calculator
Functions
Differential calculus
Integral calculus
Vectors
Statistics and probability
Prior learning
Number
Algebra
Geometry
Statistics
Practice papers
Practice paper 1
Practice paper 2
Answers
Index