computer files ready to use
Click on any of the following links to download the file you are interested in using.
Choose “Save file to disk” if you want to put it on your desktop for temporary
use or keep it on your hard drive for future reference. You can also rightclick
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Mathematica
Basics,
Graphing, Algebra and Trig., 3D Graphics, Advanced
Math Topics
How can I get a copy of Mathematica?
Learning the Basics
 Quick Reference
 An HTML file to help you get started working with the
basics of Mathematica. You can copyandpaste sample code from this web page
directly into Mathematica. It's all ready to go! (PDF
version)
 Introduction
to Mathematica for Algebra I
 This PDF file introduces basic calculations and graphing. It includes
graphing lines, parabolas, and systems of equations. The commands
"Factor" and "Solve" are also introduced.
Graphing
 Basic Graphing Palette
 This Mathematica notebook is a palette you can
use to quickly graph a function. You can choose which options you want to include in your
code. It also has options for graphing multiple functions. Very easy to use!
 Graph Template 1,
Graph Template 2,
and
2D Graph Generator More options!
 The first is a short, simple program for creating
graphs with instructions
included. The second has a few programs for creating graphs of multiple functions and
graphs with legends and/or grid lines. I recommend playing with Graph Template 1
first. The third file allows you to adjust the
fonts of the labels and the colors of the grid lines too (including nice
values for trigonometry).
 Grid Maker
(If you like this one, try
2D
Graph Generator)
 This Mathematica notebook lets you create graphs with more control
over tick marks and gridlines. It is also useful for generating blank
graphs for tests, quizzes, and worksheets.

Graph
Inequalities
New!
 Graph one or two inequalities with shading. This Mathematica notebook
give you control over shading colors, solid and dashed lines, grid lines,
tick marks, axis labels, and graph title including fonts and colors. You can
also copyandpaste graphs into other computer programs to make tests,
worksheets, or notes.

Creating
Conics
Have you seen this one yet?
 This Mathematica notebook lets you create graphs of ellipses,
circles, hyperbolas, and parabolas by typing in values for a, b,
h, k, and p in all standard forms.

Polar Point from Rectangular Point
 Use this Mathematica notebook to
illustrate converting a point in rectangular coordinates to polar
coordinates. Copyandpaste your diagrams into worksheets or tests.
(Note: There are some extra frills
with this one since I was using it to learn some new things.)
 Animating the Area Under a Curve
 Two Mathematica files to illustrate how the area is swept out
under a curve when doing integration. Use your own curves in Rectangular
Coordinates or Polar
Coordinates (1.2 Mb).
 Polygons
 This Mathematica file helps you create regular polygons in a
snap! You can choose as many sides you want and rotate it too.
 Hue
 Use this to choose the colors for your graphs.
 Mathematica
by Students  A few projects created by calculus students.
Intermediate Algebra
and Trigonometry
 Graphing Trigonometric Functions
 Ready to use for classroom demonstration. Two programs
for graphing “y = a cos[b(x  c)] + d.” All
you need to do is decide which a, b, c, and d values
you want to see. It is easy to switch “cos” to “sin” or any other trig
function, if desired. The second program lets you animate the graph as any of the
parameters change between the values you set. Includes xaxis labels with p !
 Systems of Two
Equations
 This Mathematica notebook is designed more for teachers than for
students. Generate problems quickly for students to solve systems of
equations problems by graphing, substitution, or linear combination. You
control the solution and the yintercepts.
 Exponentials vs. Factorials
 This lesson demonstrates the difference between
exponential and factorial growth. The lesson uses tables, graphs, and scientific notation.
It also includes directions for using Microsoft Word to answer the guide
questions throughout the lesson. This works for a classroom demonstration, computer lab
activity, or independent study. (Mathematica notebook file)
 Conic Sections
 How do a cone and a plane really make an ellipse? What about
hyperbolas and parabolas? This Mathematica notebook allows you
to adjust the angle of a plane as it intersects a cone to see the curves
that can be generated. Also, see the Conic Sections Gallery below and the Blank
Conic Sections Diagrams.
ThreeDimensional Graphics
 ThreeDimensional
Graphing
 This PDF file included the basics and a little with cylindrical and
spherical coordinates. Learn how to move graphs with interactive
features!
 Solids of Revolution
 Create figures generated by rotating a region about a
horizontal line. You can specify the region using two functions and you can also pick the
axis of rotation. This is great for illustrating disk and washermethod problems. It's
very easy to use.
 Solids of Cylindrical Shells
 Choose your own region to rotate about the yaxis
and see it formed by a series of cylinders. This program nicely illustrates the shell
method for finding volumes. Instructions are also included for a simple animation.
Advanced Math Topics
 Infinite Series and Mathematica
(RightClick and choose "Save
Target As...")
 This PDF file is a lesson designed to show you how to work with series in
Mathematica and to improve your understanding of infinite series. To
download the example code for the third part, click here.
To easily compare the graph of a sequence and the corresponding series, use SequenceSeriesPlot.
 Contours
and Vector Fields
 This PDF file contains Mathematica code for drawing vector fields
in two and three dimensions. It also guides the user through graphing a
surface and its level curves with its gradient field. The fourdimensional
equivalent is also included.
 Osculating
Circles (3.2 Mb)
 Curvature is a measure of how tightly a curve is turning. This Mathematica
notebook allows you to type your own 2dimensional function and select
the point where you want to see the circle whose curvature matches the
curve at that point. Thanks to Whitney Buchanan (TP '03) for
inspiring and helping with this one!
 Linear Algebra Palette
 This Mathematica notebook is a palette to help
you with entering some of the basic computations used when working with vectors and
matrices.
 Geometric Matrix Transformations (Linear Algebra)
 This PDF file describes an activity to practice creating
matrix operators that rotate, reflect, and dilate vectors. The lesson guides you through
2D and 3D examples. (If
you have trouble opening it, try rightclicking, "Save Target
As...," saving to your desktop, and opening it directly.)
Other
Files
 SemesterAtAGlance OddEven Calendars 201314 (PDF
file or
Word
Version: RightClick and
choose Save Target As...)
 Here is a
calendar just for TPHS
teachers and students. You can
see the entire semester for a class on one page. White means you meet that day, gray means
you don’t. Great for planning, notes, and reference.
(Updated:
August 14, 2013)
 Character Codes Para Espaņol
 This HTML file lists the codes you need
to quickly type accents, tildes, and punctuation for Spanish language
characters. To download the PDF version, click here.
 Weekly
Organizer for Teachers (Word
file)
 It’s not a “To Do List,” it’s
a “To Do Matrix”! This one page has helped keep me organized
for years. Slightly altered versions also work well for organizing
activities in class and appointments with students. To download the PDF version, click
here.
 Blank Graph Paper
 Six blank graphs per page ready to use for class activities and
homework.
Polar
Graphs (Now with 4 different styles!) or Rectangular
Graphs (PDF files)
 3D Graph Paper
 Blank axes for 3D
graphing created by a student. (Thanks, Austin Landow!)
(If the Word
version doesn’t open, try rightclick and “Save Target
As...”)

Blank Graphs for Worksheets
 Are you frustrated with scissors and tape to
cutandpaste graphs into your tests, quizzes, and worksheets? Download this file and you
can electronically resize, cut, copy, and paste blank and numbered graphs into any
document you’re working on. Very handy!
 Blank Graphs for Trigonometry: Word or Mathematica
 More blank graphs specifically designed
for graphing trigonometric functions. Great for worksheets, tests,
quizzes, or overhead demos (print or copy it onto a transparency).
 Blank Diagrams for Conic
Sections: PDF
or Word
 One page with a blank parabola, ellipse, and
hyperbola. Each one shows the directrix, center, foci, and vertices
without any numerical values or labels. Have students fill it in a study
guide, insert the diagrams into
tests and worksheets, or print
a copy on a transparency to use during classroom demonstrations.
(Note: It works well for labels, but the scale is slightly off for
comparing focus, curve, and directrix measurements. Look for updates
soon.)
Return to Teaching and
Learning
Abby Brown  Torrey Pines High School