Mathematics for the IB Diploma Standard Level

by
Edition: 1st
Format: Paperback
Pub. Date: 2007-08-13
Publisher(s): Cambridge University Press
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Summary

This book has been specifically written to cover the new IB Standard Level Mathematics syllabus. The book has been carefully reviewed by an experienced IB teacher and includes: full coverage of the IB syllabus; past examination questions; revision sections at regular intervals; and a full answer key. The books also describe graphical calculator methods as required by the IB syllabus.

Table of Contents

Introduction
Numbers
Sequences
The binomial theorem;Review exercise 1
Representation of statistical data
Measures of location
Measures of spread;Review exercise 2
Coordinates, points and lines
Functions and graphs
Linear and quadratic functions
Equations and graphs;Review exercise 3
Differentiation
Tangents and normals
Index notation
Graphs of nth power functions;Review exercise 4
Trigonometry
The sine and cosine rules
Solving triangles
Radians;Review exercise 5
Investigating shapes of graphs
Second derivatives
Applications of differentiation;Review exercise 6
Probability
Conditional probability;Review exercise 7
Integration
Geometric sequences
Exponentials and logarithms
Exponential growth and decay;Review exercise 8
Circular functions
Composite and inverse functions
Transforming graphs;Review exercise 9
Extending differentiation and integration
Differentiating exponentials and logarithms;Review exercise 10
Probability distributions
The binomial distribution
The normal distribution;Review exercise 11
Relations between trigonometric functions
Trigonometric equations;Review exercise 12
The chain rule
Differentiating products and quotients
Differentiating circular functions
Volumes of revolution;Review exercise 13
Vectors
Scalar products of vectors
Vector equations of lines;Review exercise 14
Matrices
Inverse matrices
Determinants
Review exercise 15
Answers
Index
Table of Contents provided by Publisher. All Rights Reserved.

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