I've tried to compile some of the best online resources for you. Here are my big 3.
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Lamar
University Paul Dawkins, who teaches at Lamar University, not only has a great collection of Cheat Sheets, but also an excellent set of Downloadable Lecture Notes which are very complete (substitution, parts, partial fractions, etc.). The 1.77 meg PDF file is over 300 pages long! |
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Visual
Calculus This site has step-by-step tutorials and several drill problems on the basics of Integration. Areas, Volumes and Arc Length are found under Applications of Integration. |
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Harvey
Mudd College Their mini tutorials are very helpful. They are available in HTML and in PDF. |
Other Links
Here are a few applets to help you visualize different Riemann sums.
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From Saint Louis University Applet 2 From Cut the Knot Applet 3 From the University of UtahApplet 4 From Pacific Lutheran University |
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The Integrator This site will compute just about any anti-derivative using Wolfram's Mathematica. It does NOT do definite integrals. Make sure to read the How To Enter Input tutorial. |
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QuickMath Quickmath is a FREE site which will automatically answer most common problems in algebra, equations and calculus. Essentially, it allows you to access the power of Mathematica without having to purchase Mathematica. |
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Calc101.com This is another site which uses Mathematica to solve calculus and linear algebra problems. You can access all answers and some steps for FREE. You can also purchase a password to see complete solutions. |
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Calculus on the
Web Affectionately known as COW, this site allows you to learn and practice calculus online. When practicing you get to know whether your answer is correct almost immediately. |
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Duke's
Combined Curriculum Project This site has interactive learning materials for mathematics and its applications. There are resources for both student and instructor. |
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Graph This is a very intuitive a graphing program that I use almost every day. Click here to download the current version (about 2.5 meg) from Ivan Johansen's site. Graph is shareware and is developed by Ivan Johansen. |
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Mathworld This is THE site for specifics information on any mathematical term or concept. Run by makers of Mathematica, it has a huge searchable glossary of terms with examples and thorough explanations. The material ranges from undergraduate to current research. |
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MacTutor
History of Mathematics Biographical information on just about every mathematician who ever lived. |
Direction Fields
http://www.ies.co.jp/math/java/calc/DiffEqu/DiffEqu.html
http://math.hws.edu/javamath/config_applets/IntegralCurves.html
http://math.hws.edu/eck/math131/s05/applets.html
http://www.dartmouth.edu/~rewn/dfDemo.html
Visualizations for Volumes
http://www.fi.uu.nl/toepassingen/00182/toepassing_wisweb.en.html
http://www.mathlearning.net/learningtools/Volumes/unroller.html
http://mathdemos.gcsu.edu/shellmethod/
http://mathdemos.gcsu.edu/shellmethod/gallery/gallery.html