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 right-click
and choose Save Target As...
Graphing, Algebra and Trig., 3D Graphics, Advanced
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 copy-and-paste sample code from this web page
directly into Mathematica. It's all ready to go! (PDF
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.
- 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,
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
- 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 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 copy-and-paste graphs into other computer programs to make tests,
worksheets, or notes.
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. Copy-and-paste 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).
- This Mathematica file helps you create regular polygons in a
snap! You can choose as many sides you want and rotate it too.
- Use this to choose the colors for your graphs.
by Students - A few projects created by calculus students.
- 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 x-axis labels with p !
- Systems of Two
- 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 y-intercepts.
- 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.
- This PDF file included the basics and a little with cylindrical and
spherical coordinates. Learn how to move graphs with interactive
- 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 washer-method problems. It's
very easy to use.
- Solids of Cylindrical Shells
- Choose your own region to rotate about the y-axis
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
(Right-Click and choose "Save
- 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.
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 four-dimensional
equivalent is also included.
Circles (3.2 Mb)
- Curvature is a measure of how tightly a curve is turning. This Mathematica
notebook allows you to type your own 2-dimensional 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
- 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 right-clicking, "Save Target
As...," saving to your desktop, and opening it directly.)
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 dont. Great for planning, notes, and reference.
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.
Organizer for Teachers (Word
- Its not a To Do List, its
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
- Blank Graph Paper
- Six blank graphs per page ready to use for class activities and
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 doesnt open, try right-click and Save Target
Blank Graphs for Worksheets
- Are you frustrated with scissors and tape to
cut-and-paste 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 youre 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
- 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
Return to Teaching and
Abby Brown - Torrey Pines High School