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.

- An exact match to the new MSSL Guide for 2012
- Covers the applications of maths, provides project ideas and has TOK links
- Interactive step-by-step audio-visual explanations (Personal Tutors) for all topics
- Over 1000 practice questions, including past IB examination questions
- Guidance on using the Graphics Display Calculator integrated into the text

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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