Mathematical Studies for the IB Diploma, 2nd edition


By Ric Pimentel & Terry Wall
September 2012
Hodder Education
Distributed by Trans-Atlantic Publications
ISBN: 9781444180176
476 pages, Illustrated
$87.50 Paper original

This brand new edition has been fully updated so that it provides a perfect match to the new Mathematical Studies SL Guide (2012).

New features (such as the inclusion of past IB examination questions) have been added, whilst retaining the clear explanations and worked examples which were so popular in the first edition.

The text also places a greater emphasis on the applications of maths, and there are project ideas and TOK links in every topic.

Online resources include Personal Tutors (step-by-step audio-visual explanations), as well as Powerpoints, Autograph and Geogebra files.



Table of Contents: 
Introduction
Presumed knowledge assessments
Introduction to the graphic display calculator
Using a graphic display calculator
Topic 1 Number and algebra
1.1 Sets of numbers
1.2 Approximation
1.3 Standard form
1.4 SI units of measurement
1.5 Currency conversions
1.6 Graphical solution of equations
1.7 Arithmetic sequences and series
1.8 Geometric sequences and series
1.9 Simple interest and compound interest
Topic 2 Descriptive statistics
2.1 Discrete and continuous data
2.2 Displaying simple discrete data
2.3 Grouped discrete or continuous data
2.4 Cumulative frequency
2.5 Measures of central tendency
2.6 Measures of dispersion
Topic 3 Logic, sets and probability
3.1 Logic
3.2 Sets and logical reasoning
3.3 Truth tables
3.4 Implication; converse; inverse; contrapositive and logical equivalence
3.5 Set theory
3.6 Probability
3.7 Combined events
Topic 4 Statistics
4.1 The normal distribution
4.2 Scatter diagrams, bivariate data and linear correlation
4.3 The regression line for y on x
4.4 The ?² test for independence
Topic 5 Geometry and trigonometry
Revision of coordinates
5.1 Straight lines
5.2 Right-angled trigonometry
5.3 Trigonometry and non-right-angled triangles
5.4 Geometry of three-dimensional solids
5.5 Volumes and surface areas of three-dimensional solids
Topic 6 Functions
6.1 A function as a mapping
6.2 Linear functions and their graphs
6.3 Quadratic functions and their graphs
6.4 Exponential functions and their graphs
6.5 The reciprocal function and higher order polynomials
6.7 Solving unfamiliar equations graphically
Topic 7 Introductory differential calculus
7.1 Gradient
7.2 Differentiation
7.3 The gradient of a curve at a given point
7.4 Increasing and decreasing functions
7.5 Stationary points
Revision exercises
Answers to exercises and student assessments
Index

 

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