CALCULUS PAGE

Resources for WHS AP Calculus Students

Calculus videos:

• Math TV.com: This site has a large collection of short topic by topic videos, many with spanish versions - basic math through Calculus.
• Past students have reccomended patrickJMT at youtube.com: This fellow, Patrick, has 400 or so very good math videos for Pre-Calc, Calculus, and advanced topics in Calculus. Go to Youtube, and type in the key words patrickJMT Calculus.
• 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 explanations.

Animated demonstrations of calculus:

• Animated examples by Louis A. Talman of the Metropolitan State College of Denver. A nice collection of very informative animations.
  
• Gallery of animated and graphical demonstrations of calculus and related topics, from the University of Vienna.
• Tutorials for the Calculus Phobe: A collection of animated calculus tutorials in Flash format.
  
• Calculus Animations, Graphics and Lecture Notes: A collection of animations and notes by Kelly Liakos.
  
• 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.
• Some Java applets: A collection of Java applets from UCLA illustrating concepts of calculus.
• calculator.org: A scientific calculator.
• Online calculus notes: From the University of British Columbia. Has some nice explanations and some interactive features.
  

Tutorials and explanations of calculus topics:

• Online math courses from MIT. The OpenCourseWare project at MIT makes many valuable resources online. Calculus and many other math courses available on the web for free.
  
• 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, many for specific problems in calculus, from Douglas Arnold at UMN that illustrate calculus concepts.
  
• Dave's math Tables: Tables of integrals, derivatives, and series expansions.
• Learning Calculus: Some calculus motivational propaganda.
• Animated examples by Louis A. Talman of the Metropolitan State College of Denver. This is one of the best collection of animations for understanding the fundamental concepts in calculus.
  
• 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.
• Wikepedia 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.

Resources from UC Davis

• 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 Applets
  A collection of Java applets illustrating calculus concepts by Deej Heath at Pacific Lutheran University.
• Tips on preparing for exams
  How to study and do well on exams
• Mathematics and the job market
  A list of professions which use mathematics

Sites with Calculus Exams.

• Sample exams from the University of California, Davis
• Calc I sample exams from the University of Illinois at Chicago.
• Sample exams from the SUNY Stony Brook.
• Sample exams and more Sample exams from MIT.
• Actuarial Review Problems: Multiple choice problems with solutions, from precalc to Multivariable caclulus. From Ronald Miech at UCLA.
• Sample exams from Rutgers.
• Sample Exams from Norhtern Illinois University.
• PostYourTest.com: Users post their exams on this website. All subjects, but includes some calculus exams.
  
• www.calculus-help.com: Nice collection of problems with solutions, aimed at AP calculus exam.
  
• The AP Calculus AB Exam site: Has past exams and sample problems for AP calculus exam.
  
• Some more sites with old calculus exams.
  U. Mass , Wabash , Toronto , Columbia , Bradley , Washington University , Bates .

Sites with Calculus problems.

• Aid for Calculus: About 300 sample problems from John A. Taylor, with solutions. Nicely indexed.
  
• exampleproblems.com: This wiki site has lots of user generrated sample problems with solutions in calculus and other areas.
  
• 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.
• 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.
  

Sites with Mathematica, Maple, etc. based calculus notebooks and problems.

• 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 of Pennsylvania.
  
• 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.
  

Other lists of calculus site links:

• Yahoo directory: Yahoo's directory of calculus sites.
• Mozilla directory: Mozilla's directory of calculus sites.
• Google directory: Google's directory of calculus sites.
• coolmath.com: A general math site with lots of nicely done mathematical content, including some calculus concepts and calculus links.
• 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.
• Calculus Resources Online: Lots of good links from the The University of Tennessee at Knoxville.
  
• Calculus site rankings: Ranked and reviewed list of calculus sites from Montclair State University. (We're number 2, so we try harder.)
  

Calculators for derivatives and integrals:

• 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 Mathematica.
• mathen.com: An online cacluator for derivatives, integrals. Also does plots and formula simplification.

Related 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.

Applications of Calculus:

• Calculus and Probability: Calculus Applied to Probability and Statistics for Liberal Arts and Business Majors

Calculus and Society, History etc:

• A history of calculus: Part of a math history project at St. Andrews College.
  
• Why calculus?: Why calculus is important. From Helmer Aslaken at the National University of Singapore.
  
• History of mathematics: An outstanding history website.
  
• Earliest Uses of Symbols of Calculus: Origins of notations of caculus.
  

Fun Math Links:

• Birthdays: Mathematicians who have birthdays today.
• pi: The history of pi.

Resources For The Calculus Class Room:

• 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.
• RESOURCES FOR CALCULUS III A collection of class demonstrations from GA Tech.
  
• The Web and Exerquiz Packages A package for making interactive quizzes and exercises.
  

Please e-mail your comments, questions, or suggestions to:
Mr. Skeen.