calculus.org: THE CALCULUS PAGE
Our Resources For The Calculus Student:
- CALCULUS
PROBLEM SETS WITH STEP-BY-STEP SOLUTIONS
Calculus problems with possibly the most detailed, step-by-step solutions
available anywhere on the internet. Here you will find calculus done the old-fashioned
way-- one problem at a time, with problems ranging in difficulty from easy
to challenging.
- Sample Exams
See if you are ready for your exam by taking our collection of sample exams.
- 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
A series of nice animations in Quicktime, contributed by Deej Heath of the
The Minnesota Academy of Mathematics & Science. Illustrates definition
of derivative, Riemann sums, second derivative, etc. Includes instructions
on how to make such animations yourself.
- TIPS ON
PREPARING FOR EXAMS
Tips on how to study and do well on exams
- Mathematics
and the job market
A list of professions which use mathematics
Our 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.
LINKS TO OTHER CALCULUS SITES:
Online tutorials and courses in calculus:
- Calculus
Tutorial: A well done online tutorial centered on calculus, covering
from algebra to integration and Linear Algebra, from Harvey Mudd College.
- Finite
Mathematics and Applied Calculus Resource Page: An extensive
collection of online tutorials on Caluclus, Finite Mathematics, and related
topics. Some nice animated demonstrations.
- Visual
Calculus:
- Topics in
Calculus: If you can't go to the beach, you can still go to this page
in Hawaii which has explanations of calculus concepts.
- Visual
Calculus: A nice online tutorial for basic calculus from the
University of Tennessee, Knoxville. Includes Javascript applets and mathview
modules.
- Calculus
with chemistry and physics as a bonus: An online interdisciplinary
course from the University of Pennsylvania. Maple based.
- ecalculus:
A Calculus I tutorial at the University of Akron. In PDF format.
- thinkwell.com:: This is a
commercial outfit which has the best online calculus course we've seen yet.
Often available for a free trial period. Lectures by Prof. Ed Burger, a
renowned calculus lecturer.
- CALCULUSQUEST:: An online
introductory calculus course at Oregon State University. Pages are available
for public viewing as a guest. Includes sample problems with solutions.
- Calculus
Lecture Notes from the University of Toronto at Scarsborough.
Sites with Calculus Exams.
- Exambot.com: Site with exam
problems in math and physics.
- CALCULUS 2
Problems: Multiple choice Calc II problems at Springfield Technical
Community College.
- Actuarial
Review Problems: Multiple choice problems with solutions, from precalc
to Multivariable caclulus. From Ronald Miech at UCLA. Also has nice Sample exam
problems based on Stewart's calculus book.
- Exam Archive -
UMR: Several years of exams from first semester calculus, collected by
Dr. Martin Bohner. No solutions.
- Online
Practice Exams: The University of Arizona site allows you to take
sample exams at all levels of calculus online.
- Ten
years of Exams from the University of Toronto at Scarsborough.
Sites with Calculus problems.
- Dr.
Math: Great list of problems. Also has something to say on calculus
and other topics.
- S.O.S. Math -
Calculus: Good list of problems with solutions. Through Fourier
Series.
- Calc I Problems:
Nice collection of solved problems in Calc I, on Tripod.
- Ask
Mr. Calculus: Ask Mr. Calculus your questions. Some good problems.
- The Math Shop:
Some solved problems, java applets for calculus, and review material.
- Problem of
the week: Weekly problems from Alvirne High School. Also material on
AP exam.
- www.calculus-help.com:
Nice collection of problems with solutions, aimed at AP calculus exam.
- Calculus on
the Web: An extensive collection of interactive problems from precalc
through multivariable calculus.
Sites with Mathematica, Maple, etc. based calculus notebooks and
problems.
Online help resources in calculus:
Sites with explanations of calculus topics and online texts:
Other lists of calculus site links:
- coolmath.com: A general math
site with lots of nicely done mathematical content, including some calculus
concepts and calculus links.
- Google
Math: Google's list of frequently linked calculus web sites.
- Math
Forum Internet Resource Collection: At Swarthmore - may be the most
comprehensive, up-to-date calculus website anywhere on the internet. See Topic
calculus for links realted to Differentiation, Integration, Sequences
and Series.
- About.com
calculus links: About.com maintains a list of calculus sites.
- edu-links:
Calculus sites from edu-links.
- links2go calculus
links.: A list of calculus sites from edu-links.
- calculus.net: Offers a
directory to calculus and other mathematics resources.
- Libby's Web
Page: Includes mathematics, physics, chemistry, biology, college, and
scholarships links and more.
- Calculus
Resources Online: Lots of good links from the The University of
Tennessee at Knoxville.
- Study Web Math -
Calculus: A large collection of links, rated for difficulty and
content.
- Math
links: Collection of math and calculus links from Southern Maine
Technical College.
Vector calculus and multivariable calculus sites:
Calculus tools and software:
- integral.com: An online
integrator. Be careful or you will be replaced by a $12 calculator.
- calc101.com:
Differentiates and integrates, and explains step. This one may replace your
instructor!
- Calculus
Toolkit: The MathServ Calculus Toolkit allows you to graph, integrate,
factor etc. online through a connection set up to Mathematica.
- FADBAD:
A C++ program for automatic differentiation. You can download it if you like.
- Calculus
Resources: List of calculus software.
- Calculus
Programs: That you can download. Courtesy of the University of Western
Ontario. They do stuff like graph functions, chain rule demonstration,
integration demonstration, demonstration of Newton's Method, explore limits of
functions.
- Some Java
applets: A collection of Java applets illustrating concepts of
calculus.
Resources for calculus instructors:
History of Calculus:
Fun math links:
- Birthdays:
Mathematicians who have birthdays today.
- pi:
The history of pi. Additional "stuff" about pi