Calculus.org Resources For The Calculus Student:
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
Calculus classroom demonstrations
Calculus demonstrations that you can use in the classroom to spice up your
lectures and prevent those nodding heads.
LINKS TO OTHER CALCULUS SITES:
Sites with Calculus Exams.
Tutorials and courses in calculus:
from MIT. The OpenCourseWare project at MIT puts many valuable
Calculus and many other math courses are represented.
Online math courses
Animated demonstrations of calculus:
Sites with Calculus problems.
: About 300 sample problems from John A. Taylor, with solutions. Nicely indexed. Aid for Calculus
: This wiki site has lots of user generated
sample problems with solutions in calculus and other areas. exampleproblems.com
: Great list of problems. Also has something to say on
calculus and other topics. Dr. Math
: Good list of problems with solutions.
Through Fourier Series.
S.O.S. Math - Calculus :
Some solved problems, java applets for calculus, and review material. The Math Shop
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
Douglas Shaw challenges you to find the error in some calculus proofs.
Find The Error
Integral and derivative problems with nicely explained answers.
Also some videos that may appeal to youtube fans.
WYKAmath Sites with Sage, Mathematica, Maple, etc. based calculus notebooks and problems.
A calculus totorial based on the free and open-source Sage Computer Algebra System.
Sage Calculus Totorial
A large collection of Mathematica notebooks, from
the Mathematics Department at Wright State University. In both
Windows and Mac formats. Mathematica notebooks
A collection of Mathematica notebooks explaining topics in these areas, from
the Mathematics Department at Indiana University of Pennsylvania. Interactive Learning in Calculus and Differential Equations with Applications
A completely on-line calculus course at Texas A&M. Needs Scientific Notebook,
but a free viewer version is available. WebCalc:
Calculus & Mathematica:
An online introductory calculus course at the University of
Illinois at Urbana-Champaign and Ohio State University.
A classic calculus supplement by Sylvanius P. Thompson. Published in 1914,
it was very popular. The treatment is intuitive. Available via a digital library.
Calculus Made Easy
Links to free online texts in a variety of mathematical areas, including calculus.
Free Online Textbooks
from a list maintained by George Cain,
at the Georgia Institute of Technology.
Online math textbooks
by Gilbert Strang. Full textbook available in pdf format.
Tutorials and explanations of calculus topics:
From the University of British Columbia.
Has some nice explanations and some interactive features.
Online calculus notes
: A very nicely presented project in which the
volume of a real vase is computed. From the Duke University Mathematics Department.
Calculating the Volume of a Vase
: Lots of nice explanations of calculus concepts.
Karl's Calculus Tutor
Nice explanations of many calculus (and other mathematical) concepts. Also has
geometry, algebra, probability etc. sections. Organized by level
Mudd Math Fun Facts
Common errors in undergraduate mathematics, compiled by Eric Schechter at
: A collection of graphics and animations
that illustrate calculus concepts.
Graphics for the calculus classroom
: One person's calculus survival guide.
Survival Guide :
College Board's guide to AP Calculus.
AP Calculus :
Tables of integrals, derivatives, and series expansions.
Dave's math Tables : Some calculus motivational propaganda.
Learning Calculus by Louis A. Talman of the Metropolitan State College of Denver.
A nice collection of very informative animations.
A collection of strange functions that illustrate points about continuity
Dr. Vogel's Gallery of Calculus Pathologies
Linked collection of calculus explanations from MIT.
World Web Math
Entry on calculus in the online encyclopedia.
Many links to specialized topics.
Free interactive tutorials on clauclus topics, including Mean Value Theorem,
Runge Kutta, Fourier Series.
Many links to specialized topics.
Calculus Tutorials and Problems
has a collection of calculus explanations on selected topics from precalc through vectors.
Wyzant Calculus videos:
has numerous short videos on calculus topics. Brought to you by Krista King. IntegralCalc
has video lectures on differential and integral calculus topics. Center of Math
has a large collection of youtube videos on calculus and other math topics. Just Math Tutorials
This site has a large collection of videos that both explain concepts and work through problems.
Midnight Tutor :
The Khan academy has many free videos with calculus explanations.
Khan Academy :
has a variety of free videos offering calculus explanations.
Calculus 1 and 2 videos from Selwyn Hollis at the University of Houston.
Video Calculus Collections of calculus site links:
Vector calculus and multivariable calculus sites:
Calculators that compute derivatives, integrals etc.:
: As well as integrals and derivatives, it does limits, series expansions, vector analysis, integral transforms etc. A powerful tool.
WolframAlpha.com : An online integrator. Be careful or you will be replaced by a $12 calculator. Based on Mathematica.
integral.com : An online cacluator for
derivatives, integrals. Also does plots and formula simplification.
mathen.com : A free online cacluator that includes
numerical integration and numerous physical formulas
Encalc : Graphs several equations at once.
Graphing calculator : Calculates derivatives and partial derivatives,
Derivative-calculator.net : Calculates antiderivatives for you.
Integral-calculator.net Calculus applets and software:
Mike May at St. Louis University has a selection of applets to illustrate important
concepts of single and multivariable calculus.
Math Applets for Calculus at SLU :
An extensive collection of applets to illustrate interactively the ideas of single variable calculus.
An online toolkit for graphing, limits, derivatives, inverses etc.
MathServ Calculus Toolkit : A C++ program for automatic differentiation. You
can download it if you like.
A collection of Java applets illustrating concepts of calculus.
Some Java applets :
A scientific calculator.
calculator.org Applications of Calculus:
Calculus and Society, History etc:
Commercial Calculus Products:
Offers MathXpert software to help learn precalculus and calculus.
Help With Math Related Topics: Precalculus, Differential Equations, Linear Algebra etc.:
Extensive collection of nice explanations of
precalculus topics by Ken Kuniyuki of San Diego Mesa College.
Precalculus Notes Fun math links:
: Mathematicians who have birthdays today.
The history of PI.
Prizes and competitions:
Results of the
National High School Student Calculus Competitions`
can be found at:
There are currently no plans for future competitions.
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