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Calculus

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  • A Physicist's View of Teaching Calculus - http://omega.albany.edu:8008/mat214dir/baierlein.html
    • Topics in calculus that are important in physics
  • Automatic Calculus Solutions - http://www.calc101.com/
    • Check calculus homework. Enter a function and click for a step-by-step derivative or integral with each step explained.
  • Math Shop: Review Questions - http://www.math.ucla.edu/~ronmiech/
    • Review quizzes for calculus, differential equations, linear algebra and other advanced math fields.
  • Karl's Calculus Tutorial - http://www.karlscalculus.org/
    • Covers calculus of limits, continuity and derivatives in some detail. Also covers integrals and methods of integration.
  • World Web Math: Calculus Summary - http://web.mit.edu/wwmath/calculus/summary.html
    • An overview of calculus ideas. Covered are derivative rules and formulas as well as some basic integration rules.
  • Connected Calculus - http://www.math.montana.edu/frankw/ccp/calculus/topic.htm
    • An applied calculus tutorial covering topics such as curve fitting, series, and optimization.
  • Visual Calculus - http://archives.math.utk.edu/visual.calculus/
    • Short descriptions and examples for limits, derivatives, and integrals. Various plug-ins are needed to view some of the pages.
  • Technology Based Problems - http://www.rose-hulman.edu/class/calculusprobs/
    • Calculus and differential calculus problems are presented. The possible solution or solutions are given.
  • Dan the Tutor - http://members.shaw.ca/danthetutor/
    • Features practice exams and worked out solutions covering limits, derivatives and integrals. In PDF format.
  • UBC Calculus Help: Integrals - http://www.ugrad.math.ubc.ca/coursedoc/math101/
    • University of British Columbia course notes. Covers integration and series with applications. Illustrated with interactive Java applets.
  • Calculus and Physics Practice Exams - http://www.exambot.com/
    • Practice exams for applied calculus and physics in PDF and HTML formats. Detailed solutions to answers are given.
  • Graphics for the Calculus Classroom - http://www.ima.umn.edu/~arnold/graphics.html
    • Graphical demonstrations developed by Douglas N. Arnold for the first year calculus student.
  • Dan's Math at Home Lessons: Calculus - http://home.earthlink.net/~djbach/calc.html
    • Features step by step lessons to introductory calculus. Included are function and precalculus preview pages.
  • UBC Calculus Help: Derivatives - http://www.ugrad.math.ubc.ca/coursedoc/math100/
    • University of British Columbia course notes. Covers functions, derivatives and applications of derivatives in some detail. Calculus labs or short quizzes are also included. There are many fine illustrations in this tutorial.
  • Dr. Vogel's Gallery of Calculus Pathologies - http://www.math.tamu.edu/~tom.vogel/gallery/gallery.html
    • Discusses instances of functions that are more difficult to apply calculus formulas to. Examples that are included are discontinuous functions and functions with discontinuous derivatives.
  • Langara College: Calculus Resources - http://www.langara.bc.ca/mathstats/resource/onweb/calculus/
    • Covers limits, derivatives, integration, infinite series and parametric equations. Includes resource links for multivariable calculus, differential equations and math analysis.
  • University of Aberdeen: Advanced Calculus Tutorial - http://www.maths.abdn.ac.uk/~igc/tch/ma2001/notes/notes.html
    • Covers functions, limits, convergence, divergence, sequences, differentiability and multivariable calculus.
  • S.O.S. Math - Calculus - http://www.sosmath.com/calculus/calculus.html
    • Explains concepts in detail of limits, convergence of series, finding the derivative from the definition and continuity. Some basic formula conversions are given.
  • e-Calculus - http://www.math.uakron.edu/~dpstory/e-calculus.html
    • A basic calculus tutorial covering limits, derivatives, and integrals in PDF format.
  • Interactive Learning in Calculus and Differential Equations with Applications - http://www.ma.iup.edu/projects/calcdemma/summary.html
    • A classroom learning environment based on Mathematics notebooks.
  • CalculusQuest - http://oregonstate.edu/instruct/mth251/cq/
    • An online differential calculus textbook including practice activities.
  • Elliptic Integrals - http://www.scl.ameslab.gov/publications/gus/ellipticintegrals/elliptic.html
    • Asymptotic solutions to symmetric elliptic integrals.
  • Rick Stoll's Calculus - http://www.geocities.com/mathdepot/
    • Covers basic and advanced derivative rules. Also, explains continuity, finding extrema and approximation methods. Integration section is under construction, but does explain integration by parts for multiplied formulas.
  • Qrhetoric Calculus - http://www.qcalculus.com/
    • Covers the basic derivative functions such as the derivative of polynomials. Some advanced derivative topics are also discussed. The integral is introduced and some practical integral problems such as finding the area and related rates are covered.
  • Harvey Mudd College Tutorials - http://www.math.hmc.edu/calculus/tutorials/
    • Topics include precalculus, calculus, multivariable calculus, linear algebra and differential equations.
  • Calculus Made Easier - http://www.wtv-zone.com/angelaruth49/calculus.html
    • An introduction to the basic concepts. The derivative and integral are explained. Resource links included.
  • A Calculus Primer - http://www.arachnoid.com/calculus/
    • This is a clearly written Calculus tutorial with plenty of graphic aids. Meant as an introduction to Calculus for nonspecialists, it covers many of the basics including differential equations.
  • The University of Minnesota Calculus Initiative - http://www.geom.uiuc.edu/education/calc-init/
    • Offers calculus application examples for the mathematical properties of a rainbow, the fundamental theorem of calculus, methods of maximizing structural beams in a building, and modeling population growth. Includes general formulas to go along with the word problems and a variety of questions in relation to each exercise.
  • Calculus.org - http://www.calculus.org/
    • Directory of calculus links for tutorials, homework help, history sample tests, and tips on exam preparation.
  • That's Calculus - http://www.math.dartmouth.edu/~matc/ebookshelf/calculus/calculusvideo/welcome.html
    • Humorous approach to lessons , which are given using Real Player video clips. Topics cover the concept of limit, derivatives, and summation series.
  • How to Ace Calculus : The Streetwise Guide - http://www.math.ucdavis.edu/~hass//calculus/htac/excerpts/excerpts.html
    • Excerpt from book. Page includes some tips on how to study, take exams, basic derivative rules, and terms glossary.
  • Understanding Calculus by Faraz Hussain - http://www.understandingcalculus.com/
    • A free, complete 360 page book covering all the basics of Calculus.
  • The Elementary Calculus Line - http://cs.gmu.edu/cne/modules/dau/calculus/calculus_frm.html
    • Covers derivative and integral conversions as well as calculus rules. Includes practice exercises.
  • The Calculus Page Problems List - http://www.math.ucdavis.edu/~kouba/problemslist.html
    • Features topic summaries with practice exercises for derivative and integral calculus. Includes solutions. Authored by D. A. Kouba.
  • Calculus on the Internet - http://www.calculus.net/ci2/?tag=
    • Tutorials on calculus subjects ranging from precalculus to differential equations. Math tools and resource links.
  • Calculus Solutions - http://www.jtaylor1142001.net/
    • Reference site with a vast amount of information and example problems which are alphabetically listed by topic.
  • Calculus on the Web - http://cow.math.temple.edu/
    • An internet tutoring utility for learning and practicing calculus. C.O.W. gives the student or interested user the opportunity to learn and practice problems. Instant feedback for the correctness of answers.
  • Calculus Reference - http://www.allaboutcircuits.com/vol_5/chpt_6/index.html
    • Offers a reference containing the main theories and equations of calculus
  • Maths Direct: Differentiation Tutorials - http://www.counton.org/alevel/pure/purtutdif.htm
    • Explains derivative concepts such as the basic formulas, finding minimum and maximum points, worked out problems and some general differentiating rules.
  • Elementary Calculus: An Approach using Infinitesimals - http://www.math.wisc.edu/~keisler/calc.html
    • An online book by H. Jerome Keisler. Covers differentiation, continuous functions, integration, limits, applications, infinite series, vector calculus and differential equations.
  • Calculus by Gilbert Strang - http://ocw.mit.edu/ans7870/resources/strang/strangtext.htm
    • Online text covers introduction to derivatives, applications, methods of solving integration problems, polar coordinates, infinite series, partial derivatives, and vector calculus.
  • Calculus - Wikipedia - http://en.wikipedia.org/wiki/calculus
    • Contains information of the history, principles, and applications of calculus.
  • Applied Calculus by Stefan Warner and Steven Constenoble - http://people.hofstra.edu/stefan_waner/realworld/tccalcp.html
    • Covers a review of functions. Explains derivatives from the numerical, geometrical and algebraic aspects. Gives some examples of applications. Integrals are introduced. Includes practice exercises.
  • Magooey's Math Problems Website - http://magooeys-math.com/
    • Contains problems and solutions for differential calculus in PDF format.
  • Kodawari House - http://www2.math-4-u.com/math/math.html
    • Discusses proofs concerning integrals, Taylor series, e^Ï€i, and the beta function.

 
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