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Calculus is a branch of mathematics concerned with two types of functions: derivatives and integrals.The derivative calculates the rate of change of the function at a point on a curved line. This formula also works for a straight line, as well. A derivative of a function is written by adding a apostrophe like this: f'(x). One of the applications of derivatives is to determine velocity and acceleration of an object in motion. Integrals measure the area under a curved line graph, such as a half circle. The integral symbol looks like a flattened S. Derivatives and integrals are related in that they are inverse functions of each other. That means the operations will cancel each other out, such as taking the square root of a squared number will give you the original number. Applications of integrals include calculating areas of plane regions or surfaces, as well as calculating volumes of solids. Both derivatives and integrals are defined by using the concept of la limit. An example of a limit is where you have the equation 1 / x. If you take x to be very large, then 1 / x gets closer to 0.

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Calculus on the Internet Tutorials on calculus subjects ranging from precalculus to differential equations. Math tools and resource links. www.calculus.net

Automatic Calculus Solutions Check calculus homework. Enter a function and click for a step-by-step derivative or integral with each step explained. www.calc101.com

Karl's Calculus Tutorial Covers calculus of limits, continuity and derivatives in some detail. Also covers integrals and methods of integration. www.karlscalculus.org

World Web Math: Calculus Summary An overview of calculus ideas. Covered are derivative rules and formulas as well as some basic integration rules. web.mit.edu/wwmath/calculus/summary.html

Connected Calculus This is an applied calculus tutorial. Some prior calculus knowledge might be helpful. www.math.montana.edu/frankw/ccp/calculus/topic.htm

Visual Calculus Short descriptions and examples for limits, derivatives, and integrals. Various plug-ins are needed to view some of the pages. archives.math.utk.edu/visual.calculus

University of Aberdeen: Advanced Calculus Tutorial Covers functions, limits, convergence, divergence, sequences, differentiability and multivariable calculus. www.maths.abdn.ac.uk/~igc/tch/ma2001/notes/notes.html

A Physicist's View of Teaching Calculus Topics in calculus that are important in physics omega.albany.edu:8008/mat214dir/Baierlein.html

Calculus on the Web 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. www.math.temple.edu/~cow

Math Shop: Review Questions Review quizzes for calculus, differential equations, linear algebra and other advanced math fields. www.math.ucla.edu/~ronmiech

Technology Based Problems Calculus and differential calculus problems are presented. The possible solution or solutions are given. www.rose-hulman.edu/Class/CalculusProbs

The Elementary Calculus Line Covers derivative and integral conversions as well as calculus rules. Includes practice exercises. cne.gmu.edu/modules/dau/calculus/calculus_frm.html

Dan the Tutor Features practice exams and worked out solutions covering limits, derivatives and integrals. In PDF format. members.shaw.ca/danthetutor

UBC Calculus Help: Integrals University of British Columbia course notes. Covers integration and series with applications. Illustrated with interactive Java applets. www.ugrad.math.ubc.ca/coursedoc/math101

Calculus and Physics Practice Exams Practice exams for applied calculus and physics in PDF and HTML formats. Detailed solutions to answers are given. www.exambot.com

Graphics for the Calculus Classroom Graphical demonstrations developed by Douglas N. Arnold for the first year calculus student. www.ima.umn.edu/~arnold/graphics.html

Topics in Integral and Differential Calculus An explanation and demonstration of the differential formulas, including an applet. www.ma.utexas.edu/users/kawasaki/mathPages.dir/index.html

Dan's Math at Home Lessons: Calculus Features step by step lessons to introductory calculus. Included are function and precalculus preview pages. home.earthlink.net/~djbach/calc.html

UBC Calculus Help: Derivatives 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. www.ugrad.math.ubc.ca/coursedoc/math100

Dr. Vogel's Gallery of Calculus Pathologies 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. www.math.tamu.edu/~tom.vogel/gallery/gallery.html

Langara College: Calculus Resources Covers limits, derivatives, integration, infinite series and parametric equations. Includes resource links for multivariable calculus, differential equations and math analysis. www.langara.bc.ca/mathstats/resource/onWeb/calculus

Applied Calculus by Stefan Warner and Steven Constenoble 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. people.hofstra.edu/faculty/Stefan_Waner/RealWorld/tccalcp.html

S.O.S. Math - Calculus Explains concepts in detail of limits, convergence of series, finding the derivative from the definition and continuity. Some basic formula conversions are given. www.sosmath.com/calculus/calculus.html

e-Calculus A basic calculus tutorial covering limits, derivatives and integrals. Uses a PDF format. www.math.uakron.edu/~dpstory/e-calculus.html

Interactive Learning in Calculus and Differential Equations with Applications A classroom learning environment based on Mathematics notebooks. www.ma.iup.edu/projects/CalcDEMma/Summary.html

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