The following web pages may be helpful and entertaining
for students who are in the process of learning calculus. On these
pages, you will find tutorials, exercises, and tips for using your graphing
calculators. I hope you find some of these sites useful. Please
send me feedback on what find. If I think your comments will be useful
for other students, I will include them here. Send your comments
to: Dr. Nancy Eaton
Special
thanks to my students from the Workshop In Calculus: Problem solving
techniques, MTH930P, summer 2001, for their contributions to this page.
Fourier Series Applets: applet
applet
Here are two links to Fourier series Java applets.
There's not much you can really do with them, but they give a good visual
representation of what happens to the approximations as you add successive
terms.
Ask Dr. Math: web site
Karl's Calculus Tutor: web site
The Calculus Hater's home page: web site
College Calculus Web Directory: web
site
This site gives another cool view of calculus
concepts visually with examples that are worked out step by step using
multimedia elements. It also gives "problem solving aids" (like a web based
interface to Mathematica), "technological aids" (like graphic calculators
or list of programs ordered in different categories), and "math software".
Finally, This web site ends by pointing the student to places with more
extensive information in a comprehensive resource listing.
Visual Calculus: web
site
This site gives step by step instructions
for every lesson in a clear, easy to understand format. Examples are given.
The tutorial section has an interesting display of many calculus problems.
To utilize everything in this site, YOU MUST download the "Micro Media
Flash Player ." It is a free download, and it will take minutes to access.
Also, " Live Math Plug-ins are needed for the " Live Math Notebook ". It
can also be downloaded for free.
Calculus@internet: web
site
This is a web site of Calculus and related topics.
The home page has different topics you can go to. Such as: Pre Calculus
topics, Calculus topics, student and instructor assistance, curriculum
material, technology, assessment material, reference material, applications
of derivatives, integrals, differential equations, pedagogy, advanced mathematics,
and recreation topics. Once a topic is selected, you will be taken to another
site that lists subcategorizes and many web page links.
Live Math Calculator Notebooks: web
site
This is an excellent site for graphing functions.
The graphs are printable.
Mathematics Archives WWW server:web
site
This site has a ton of information and math resources
and tutorials
Pass Calculus: web site
Math Archives - Calculus Resources On-line:web site
Study Resources for Calculus Students, University of Oklahoma Math Department: web site
Calculus on the Web Library: web site
Calculus-help.com: web
site
This site appears to belong to a high school
AP Calculus teacher with a great sense of humor. He posts a problem of
the week to prepare students for the AP Calculus Exam. The problems of
the week are archived for the past 3 years. They are conveniently listed
by topic and rated according to difficulty. Solutions are included. In
addition to the problems of the week, he includes links to other useful
web sites, downloadable calculus music (who knew?), and pictures, video,
and awards for his own students. Mr. Kelley seems to be a teacher that
any student would be lucky to have, but since they can't all be in his
class, they should visit his web site. It's the Kelley AP Calculus
home page.
Note: 1/11/02: Mr. Kelly has
done some major modifications to it. Some of the items remain, but some
have
changed. It still offers all of the
archived problems, but most of the things specific to his classes is gone
(he no longer teaches). However, there are more and cooler features, and
even a store selling silly math merchandise.
Step-by-Step Derivatives and Integrals: web
site
This site allows you to type in any polynomial
multiplication, long division, derivative, or integration problem, and
it returns the solution, showing the work, instantly. (They are all free,
except the integration, which costs about $.05 per problem.) There is also
a list of "dead" problems, sorted by topic. When you select a problem,
it will tell you how to correctly input the problem (using your keyboard)
and give you the worked out solution. This site would be be helpful
for a student who wants to do extra practice problems to study for a test,
but doesn't have the solutions available.
CalcZone / FiniteZone: web
site
This site contains application problems based
on news and real data. It also contains, which I believe is very good for
a student, TI Graphing Programs. I looked at some of the problems particularly
the "World's First Trillionaire" and "Abandoned Cars" and I thought they
were excellent. The is based on a particular text book called "Calculus
with Applications", sixth edition by Lial/Greenwell/Miller.
SimCalc at UMass-Dartmouth: web
site
This page is dedicated to developing software
simulations and curriculum materials designed to support the learning of
the underlying ideas of calculus by mainstream students in grades 3 to
12.
Two TI Calculator sites: ticalc.org:web site Texas Instruments: web site
University of Akron Mathematics and Computer Science Home page of e-Calculus: web site
Cool Math: web
site
This web site is designed for anybody in the
age range of five year olds to even the elderly. This web site is directed
to students, parents, and teachers. The home page of the web site is very
colorful, and animated. When clicking on the button stating, "Age 13-100"
it lead us to another part of the web site that taught many math lessons
to people that are in the age range of thirteen to a hundred. These lessons
ranged from teaching them geometry to algebra I to calculus. The lesson
they taught in calculus was, "What is a limit?" In that lesson you learn
the limit of n-gon to circle. The lesson provided many pictures, and also
the math equations in order to get the correct answer. The lesson was in
color, and also had very detailed pictures to go with the lesson. This
web site is not only fun and interesting, it is also net mom approved,
which is a good plus!
Wiley Higher Education: web
site
This web site is run by the editors of our text,
Calculus,
by
Hugues-Hallett, et al. There is information given here regarding
an on-line assessment system called eGrade which URI does not subscribe
to. A sample quiz can be taken.
History of Calculus: web site
Professor Frederick Rickey's web pages: Conic Sections
web
site Riemann and the Integral web
site
Spark Notes: web
site
Some applets: web site