Calculator Graphing

by Barrie Galpin and Alan Graham

ISBN 0-9541020-4-5

 

 

 

 

 

This book in our 16+ series, published in March 2004, explains the mysteries of Polar, Parametric and Sequence graphing.

The calculator has four different graphing modes. Not only can you draw graphs of functions of the form 'Y is some function of X', but also functions of the form 'R is some function of theta".

You can also draw graphs that are defined using pairs of parametric equations, a technique that has applications both in pure mathematics and in the study of dynamics.

Sequence graphing mode provides three different types of graph that allow you to study the behaviour of sequences in a variety of different ways.

The four graphing modes provide a structure of the four sections of the book:

Using function graphing

You may well be familiar with the basics of this type of graph drawing but, unless you have spent many hours using your calculator in conjunction with its operating manual, you will undoubtedly find that there are graphing techniques in this section that are new to you and that are interesting and fun.

Using polar graphing

Units 4 and 5 form a short section involving the use of polar graphing. Polar coordinates are explained and you are shown how to produce spirals and other interesting shapes like the heart-shaped one shown here. This section could be studied independently of the rest of the book.

Using parametric graphing

After an introduction to this graphing mode in Unit 6, the next two units deal with applications in mechanics, and Units 9 and 10 with applications in pure mathematics. Each pair of units could be studied independently.

Using sequence graphing Unit 11 provides an introduction to iterative methods of defining sequences in general and the next four units cover time-sequence graphs, staircase and cobweb diagrams and phase plots. Units 11 to 16 are best worked through in order. 

What are the contents of the book?

Using function graphing:
Unit 1 What is a function?

Unit 2 Moving graphs

Unit 3 Regression

Using polar graphing:

Unit 4 Polar explorations

Unit 5 Stars and hearts

Using parametric graphing:

Unit 6 Introducing parametric graphing

Unit 7 Time as a third parameter

Unit 8 Projectiles and pendulums

Unit 9 Ellipses and epicycloids

Unit 10 Parabolas

Using sequence graphing:

Unit 11 Prelude to sequence graphing

Unit 12 Graphing the Fibonacci sequence

Unit 13 Sequences, series and calculator buttons

Unit 14 Investigating convergence

Unit 15 Steps into chaos

Unit 16 A predator/prey model

What calculator skills are needed?

If you are new to the TI-83 or TI-83 Plus calculator, we recommend that you first work through Calculator Maths: Foundations Plus, which provides all the basic calculator skills you will need for Calculator Graphing

How much does it cost?

Copies cost £11.95.

What size is the book?

The book is A4 size and contains 128 pages.

How can I obtain a copy?

You can order by phone, email or post. Click here for details.

 

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