Calculus 1 Fact Sheet
Calculus Early Transcendental Single Variable, 9th
At Interactive Mathematics Server
For The Calculus Student:
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.
LINKS TO OTHER
courses in calculus:
Online math courses from MIT. The
OpenCourseWare project at MIT puts many
valuable resources online. Calculus and many
other math courses are represented.
demonstrations of calculus:
Aid for Calculus: About 300
sample problems from John A. Taylor, with
solutions. Nicely indexed.
exampleproblems.com: This wiki
site has lots of user generated sample
problems with solutions in calculus and
Dr. Math: Great list of problems.
Also has something to say on calculus and
S.O.S. Math - Calculus: Good list
of problems with solutions. Through Fourier
The Math Shop: Some solved
problems, java applets for calculus, and
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
WYKAmath: Integral and derivative
problems with nicely explained answers. Also
some videos that may appeal to youtube fans.
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.
Interactive Learning in Calculus and
Differential Equations with Applications:
A collection of Mathematica notebooks
explaining topics in these areas, from the
Mathematics Department at Indiana University
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.
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
explanations of calculus topics:
Online calculus notes: From the
University of British Columbia. Has some
nice explanations and some interactive
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.
Karl's Calculus Tutor: Lots of
nice explanations of calculus concepts.
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.
Graphics for the calculus classroom:
A collection of graphics and animations that
illustrate calculus concepts.
Survival Guide: One person's
calculus survival guide.
AP Calculus: College Board's
guide to AP Calculus.
Dave's math Tables: Tables of
integrals, derivatives, and series
Learning Calculus: Some calculus
Animated examples by Louis A.
Talman of the Metropolitan State College of
Denver. A nice collection of very
Dr. Vogel's Gallery of Calculus
Pathologies A collection of strange
functions that illustrate points about
continuity and differentiablility.
World Web Math Linked collection
of calculus explanations from MIT.
Wikipedia Entry on calculus in
the online encyclopedia. Many links to
Calculus Tutorials and Problems
Free interactive tutorials on clauclus
topics, including Mean Value Theorem, Runge
Kutta, Fourier Series. Many links to
Wyzant has a collection of
calculus explanations on selected topics
from precalc through vectors.
calculus site links:
calculus and multivariable calculus sites:
for derivatives, integrals etc.:
WolframAlpha.com: As well as
integrals and derivatives, it does limits,
series expansions, vector analysis, integral
transforms etc. A powerful tool.
integral.com: An online
integrator. Be careful or you will be
replaced by a $12 calculator. Based on
mathen.com: An online cacluator
for derivatives, integrals. Also does plots
and formula simplification.
Encalc: A free online cacluator
that includes numerical integration and
numerous physical formulas
Graphing calculator: Graphs
several equations at once.
applets and software:
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
calculusapplets.com: An extensive
collection of applets to illustrate
interactively the ideas of single variable
MathServ Calculus Toolkit: An
online toolkit for graphing, limits,
derivatives, inverses etc.
FADBAD: A C++ program for
automatic differentiation. You can download
it if you like.
Some Java applets: A collection
of Java applets illustrating concepts of
calculator.org: A scientific
Center of Math: has video
lectures on differential and integral
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.
Calculus videos: The Khan academy
has many free videos with calculus
Brightstorm: has a variety of
free videos offering calculus explanations.
Society, History etc:
Help With Math: Offers MathXpert
software to help learn precalculus and
Topics: Precalculus, Differential Equations,
Linear Algebra etc.:
Precalculus Notes : Extensive
collection of nice explanations of
precalculus topics by Ken Kuniyuki of San
Diego Mesa College.