Tutorials and Lecture Notes
- Abstract Algebra On Line
- This site contains many of the definitions and theorems from the area of
mathematics generally called abstract algebra.
- Algorithms and Complexity
- The links to this book by Herbert Wilf are on his
Course Materials on the Net
- A large collection of links.
- Analysis WebNotes
by John Lindsay Orr, University of Nebraska, Lincoln
University of Illinois, Urbana-Champaign
- CALM - Computer Aided Learning in
- Initially, the CALM Project built a computerised tutorial system to enhance
the teaching of calculus to students of the Heriot-Watt University.
- Classical and Quantum Chaos (lecture
notes, P. Cvitanovic et al.)
- Dynamical Systems
and Fractals Lecture Notes, David J. Wright.
- Dynamical Systems and Technology
- This project is a National Science Foundation sponsored project designed
to help secondary school and college teachers of mathematics bring contemporary
topics in mathematics (chaos, fractals, dynamics) into the classroom, and
to show them how to use technology effectively in this process. At this point,
there are several interactive papers available. These are designed to help
teachers understand the mathematics behind such topics as iterated function
systems (the chaos game) and the Mandelbrot and Julia sets.
Electronic Primer on Geometric Constraint Solving
- Geometric constraint solving has applications in many different fields,
such as molecular modeling, Computer-Aided Design, tolerance analysis, and
geometric theorem proving. In this primer, a solution to the problem of finding
a configuration for a set of geometric objects which satisfies a given set
of constraints between the geometric elements is detailed. We have provided
four different "tours" through the material in order to allow different types
of users easy access to the information appropriate to their needs.
of Compact Group Automorphisms
- Finite Rank Torsion Free
Modules Over Dedekind Domains
- Forum Web-based
Units and Lessons
- This page from the Math Forum
present some examples from their experiment of the use of the WWW for instruction.
- Fract-Ed is an course on fractals for high school or college students.
and the Imagination
- Notes and handouts for an innovative geometry course developed at Princeton
and the Geometry Center by John Conway, Peter Doyle, Jane Gilman and Bill
- Graduate Algebra Course,
E. L. Lady, University of Hawaii.
- Graph Theory
- This is the home page for a series of short interactive tutorials by Chris
K. Caldwell introducing the basic concepts of graph theory. They are designed
with the needs of future high school teachers in mind and are currently being
used as a supplement to a Mathematical Modeling course.
HyperStudio, and Tessellations
to Math and Spreadsheets
- Introduction to Quantitative
- A Basic Statistics Course in the College of Education at Arizona State University
written by Gene Glass.
- Introductory notes on Seifert fibered 3-manifolds
- These are notes for a one semester course written by Matt
Brin. They are available in two formats: compressed
DVI file and compressed
Course in Chemistry, Mathematics and Physics
- The original TeX document for this course was written by Dennis DeTurck
and Larry Gladney at the University of Pennsylvania.
- Gene Klotz has created a web-based lesson on vectors using Geometry Sketchpad.
This is an experiment in creating useful online classroom materials.
Limits of Mathematics
- This book features a definitive reformulation of algorithmic information
theory with new more constructive definitions of program-size complexity.
It is a revised version of the course notes given to the participant at the
limits of mathematics short course, University of Maine, Orono, Maine, June
- Maple Examples
from the University of Utah.
- Massachusetts Institute
of Technology - Course Materials
- Mathematics Education
- This is the home page of Jim Wilson at the University of Georgia and contains
links to web pages for courses in Mathematics Education. Included are the
results of many student projects.
- The UK Mathematics Courseware Consortium is a project in the Teaching and
Learning Technology Programme. It is producing Computer Based Learning modules
in Mathematics, especially for Science and Engineering students.
- Mathwright Library
- The Mathwright Library is a collecion of Mathwright Books which have been
produced by the authoring system, Mathwright. This WEBsite makes available
for downloading a Mathwright Library Player which may be used as a viewer
for the WorkBooks in this Mathwright Library. However, it is capable of reading
only the WorkBooks supplied through this WEBsite. There is a commercial version
of Mathwright Library Player which has many additional features. Among the
many topics covered in this library are Area Between the Graphs, Bernoulli
Trials, Chaotic Pendulum, Curves in Art and Nature, Difference Equations,
Dynamical Systems, Eigenvector, Factoring Polynomials, Golden Ratio, Lunar
Lander, Matrix Calculator, Periodic Functions, Pool Game, Polar Graphs, Space
Filling Curve, and Work Problems.
- MATLAB in Education
- Site established by Mathworks, publisher of MATLAB, which contains links
to colleges, universities and high schools which have course materials using
- Matlab Tutorial
from the University of Utah.
- MultiMedia Statistics Page
- The purpose of this page is to illustrate some statistical concepts using
methods for 1 D compressible flows
- In this manual, M. Manzini gives a short presentation of some numerical
methods for the solution of 1D compressible fluid flow problems. This is a
title in the CRS4
- OSU Math Ed
Center: Electronic Library - Bookshelves
- This page contains a collection of various items including:
- Uses of Technology in the Mathematics Curriculum by Benny Evans
and Jerry Johnson
- Fresh Perspectives on Old Topics by Benny Evans and Jerry Johnson
- Penn State University
from the 1994-95 UMTYMP Calculus III Course
- Taught by Frederick J. Wicklin and Davide P. Cervone at the University of
Minnesota. This course was an experimental course that emphasized the geometric
aspects of calculus, and included a strong computer-based laboratory component.
At the end of the course, students generated their own hypertext documents
and labs, of which several are presented here.
- Solving the Quintic with Mathematica
- This page is based on the material which appears in the Solving the Quintic with Mathematica poster,
and allows you to solve fifth-degree polynomial equations using several programs written in Mathematica by Michael Trott and Victor
Adamchik. The notebooks containing the programs are available on MathSource.
- The STEPS Project
- The STEPS project brings together nine departments in seven universities
throughout the UK to develop problem based teaching and learning materials
for statistics. The materials being produced are based around specific problems
arising in Biology, Business, Geography and Psychology. It is intended that
students will discover that statistical issues arise from these problems as
important natural parts of the process of reaching conclusions. The role of
the computer is to assist in the exploration of the problem and to provide
support materials for the statistical ideas encountered. Graphical illustration
plays a major role. A glossary of statistical terms is provided, and, where
appropriate, problem modules can be operated in parallel with standard packages.
of Delaware, Course Materials
- University of Florida,
of Hawaii, Calculus Computer Lab
- The University
of Minnesota Calculus Initiative
of Rochester, Course Materials
- University of South Carolina,
- University of Wisconsin, Marathon Center
for College Algebra and Geometry by M. Maheswaran
Vector Cross Product - A JAVA Interactive Tutorial
- This JAVA applet lets the user explore the cross product of two vectors when one of the vectors is changed.
Acknowledgment: Many of the descriptions were taken from and/or modified
from the documents from the listed site.