Calculus problems with step-by-step solutions
Calculus problems with detailed,
solutions. It's calculus done the old-fashioned way - one
problem at a time, one easy-to-follow step at a time, with problems ranging in difficulty from easy to challenging.
Also available are scanned solutions to problems in
differential,
integral and
multi-variable calculus and series.
Excerpts from "How To Ace Calculus"
Excerpts from "How to Ace Calculus: The Streetwise Guide" a recently published
book with an unorthodox humorous approach to learning calculus. For those with
a sense of humor only.
Calculus animations in Maple and
Calculus animations in Mathematica
A series of Quicktime movies, contributed by Deej Heath of Pacific Lutheran University. These illustrate many ideas of calculus, and also include instructions on how to make similar animations yourself using Maple or Mathematica.
Calculus Applets
A collection of Java applets illustrating calculus concepts by Deej Heath at Pacific Lutheran University.
Calculus.org Resources For The Calculus Instructor:
Sample exam problems
Here are sample exams problems from first year calculus, in tex format,
sorted by problem area. Feel free to modify these and use them for your
own exams.
Calculus classroom demonstrations
Calculus demonstrations that you can use in the classroom to spice up your
lectures and prevent those nodding heads.
Online math courses from MIT. The OpenCourseWare project at MIT puts many valuable
resources online.
Calculus and many other math courses are represented.
Animated demonstrations of calculus:
Gallery of animated and graphical demonstrations of calculus and
related topics, from the University of Vienna.
The Math Shop:
Some solved problems, java applets for calculus, and review material.
Hotmath:
Follow the students button to get a list of solutions to the odd problems in
the calculus texts of Stewart; Larson, Hostetler, Edwards; and Tan
Find The Error:
Douglas Shaw challenges you to find the error in some calculus proofs.
WYKAmath:
Integral and derivative problems with nicely explained answers.
Also some videos that may appeal to youtube fans.
Sites with Sage, Mathematica, Maple, etc. based calculus notebooks and problems.
Sage Calculus Totorial:
A calculus totorial based on the free and open-source Sage Computer Algebra System.
Mathematica notebooks:
A large collection of Mathematica notebooks, from
the Mathematics Department at Wright State University. In both
Windows and Mac formats.
WebCalc:
A completely on-line calculus course at Texas A&M. Needs Scientific Notebook,
but a free viewer version is available.
Calculus & Mathematica:
An online introductory calculus course at the University of
Illinois at Urbana-Champaign and Ohio State University.
Online texts:
Calculus Made Easy A classic calculus supplement by Sylvanius P. Thompson. Published in 1914,
it was very popular. The treatment is intuitive. Available via a digital library.
Free Online Textbooks
Links to free online texts in a variety of mathematical areas, including calculus.
Online math textbooks from a list maintained by George Cain,
at the Georgia Institute of Technology.
Calculus textbook by Gilbert Strang. Full textbook available in pdf format.
Tutorials and explanations of calculus topics:
Online calculus notes:
From the University of British Columbia.
Has some nice explanations and some interactive features.
Calculating the Volume of a Vase: A very nicely presented project in which the
volume of a real vase is computed. From the Duke University Mathematics Department.
Mudd Math Fun Facts:
Nice explanations of many calculus (and other mathematical) concepts. Also has
geometry, algebra, probability etc. sections. Organized by level
of difficulty.
Common Errors:
Common errors in undergraduate mathematics, compiled by Eric Schechter at
Vanderbilt University.
World Web Math
Linked collection of calculus explanations from MIT.
Wikipedia
Entry on calculus in the online encyclopedia.
Many links to specialized topics.
Calculus Tutorials and Problems
Free interactive tutorials on clauclus topics, including Mean Value Theorem,
Runge Kutta, Fourier Series.
Many links to specialized topics.
Wyzant
has a collection of calculus explanations on selected topics from precalc through vectors.
Calculus videos:
IntegralCalc:
has numerous short videos on calculus topics. Brought to you by Krista King.
Center of Math:
has video lectures on differential and integral calculus topics.
Just Math Tutorials:
has a large collection of youtube videos on calculus and other math topics.
Midnight Tutor:
This site has a large collection of videos that both explain concepts and work through problems.
Khan Academy:
The Khan academy has many free videos with calculus explanations.
Brightstorm:
has a variety of free videos offering calculus explanations.
Video Calculus:
Calculus 1 and 2 videos from Selwyn Hollis at the University of Houston.
Multivariate Calculus With Maple::
Mulitvariable calculus explanations, with many problems implemented and solved using
Maple. Nice explanations of some topics.
Math Applets for Calculus at SLU:
Mike May at St. Louis University has a selection of applets to illustrate important
concepts of single and multivariable calculus.
calculusapplets.com:
An extensive collection of applets to illustrate interactively the ideas of single variable calculus.
Results of the
National High School Student Calculus Competitions`
can be found at:
Calculus Competition
Awards.
There are currently no plans for future competitions.