This webpage makes available mathwright books I have developed. To use these activities, you must have Mathwright Player software. A free version, called the Mathwright Library Player, is available both here and at the New Mathwright Library and Cafe website. The software, and the exe files below, only work on computers using Microsoft Windows.

Each book available here is in its own self-extracting exe file, along with any supporting files needed with the book. If you click one of the book titles below, the corresponding exe file should be transferred to your machine. Save the file on your hard disk, and note the location because you will have to go to that folder to expand the file.

To expand one of these files, visit it in the file explorer and open
it as you would any other file. The extraction process permits you to specify
where to save the extracted files. If you simply click on *unzip*,
a new folder will be created in the same location as the downloaded zip
file.

To run the activity, simply open the new folder, and then open the IMT file. The icon for an IMT file is shown at left.

Here is the list of mathwright books, with a brief description for each.

**Mapping
Geometry** - (54 KB) Students enter a 2 by 2 matrix,
and explore its behavior as a mapping from R2 to R2. There are several
ways that they can enter subsets of the domain, and observe the images
of these subsets.

**Row
Reduce** - (52 KB) Students specify row operations
by completing verbal descriptions, and see the operations carried out on
a matrix. Any initial matrix from 2x2 up to 9x7 can be entered.

**Marden's
Theorem** - (113 KB) This is an exploration of a theorem
about the geometry of roots of complex polynomials and their derivatives.
One version of the theorem says this: if the roots of a cubic polynomial
are the vertices of a triangle in the complex plane, then the roots of
the derivative are the foci of an ellipse inscribed in that triangle, and
touching the sides at their midpoints. This file is a self extracting zip
archive. So you should save it on your machine and then run it. It will
create a directory with all the included files.

**Areas
and Riemann Sums** - (73 KB) This activity gives students
prolonged hands-on experience with the fundamental ideas of Riemann sums.
The main activity is to construct a Riemann sum to estimate the area under
a given curve. The student uses the mouse to select the endpoints of the
interval, as well as the partition points. As each sub-interval is defined,
a choice must be made by the student to establish a rectangular area: will
the height of the rectangle be the function value at the left endpoint?
The right endpoint? The midpoint? Or some other point selected by mouse
click? Whatever choice is made, an animated display depicts the construction
of the corresponding rectangle, and the area is automatically computed
and added to a running total for the Riemann sum.

**Epsilon
and Delta** - (79 KB) This activity concerns the epsilon-delta
definition of limit, using a geometric formulation of the usual inequalities.
For a specified epsilon, delta, *a*, and *L*, the graph of *f
*stays in the box (centered at point (*a,L*) with width 2 delta
and height 2 epsilon) if it extends from one side of the box to the other
without going off the top or bottom. This formulation of 0 < | *x
- a* | < delta => | *f*(*x*) - *L*| < epsilon is
used by students to explore several examples.

**Magnify**
- (97 KB) Two fundamental ideas of calculus, the limit and the derivative,
are explored visually in an activity of successively zooming in on one
point of a graph. If the graph eventually becomes a straight line, the
derivative is the slope of that line. Students control the zooming in process
and measure the slope geometrically. If the graph never becomes a straight
line at any scale, the function is not differentiable (at the specified
point). Similarly, the idea of the limit is explored by zooming in on the
graph of a function over a punctured interval. The limit, if it exists,
must be the unique point that can "fill in the gap" caused by the puncture
in the domain.

**Newton's
Method** - (42 KB) An animated illustration of the
conventional picture of Newton's method. At each iteration, the student
sees a ray trace the tangent line to the x axis, and determine a new value
of x. The student defines the function and starting point for the iteration.
In addition, a built-in example illustrates how sensitive an orbit can
be to the initial value.

**Polar
Coordinate Grapher** - (43 KB) A general purpose polar
coordinates graphing environment featuring a variety of static and dynamic
representations.

**Parametric
Equations** - (128 KB) Mike Pepe's Parametric Equations
Tutorial

**Conics**
- (61 KB) Exploration of standard forms of equations for ellipses and hyperbolas

**Star**
- (90 KB) An exploration of the geometry of stars. This is accessible to
students at about any grade level, although there are some features that
will not make sense to the early elementary grades. However, anyone who
is familiar with measuring angles in degrees can use the activity to create
beautiful stars. There is an included MS Word document (Star.doc) that
serves as a user guide.

**Elementary
Models Collection** - (390 KB) A suite of activities
that can be used with the Elementary Mathematical Models course. Once you
have expanded this archive, open the CONTENTS mathwright book for further
information about each activity.