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.