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Calculus is a branch of mathematics concerned primarily with derivatives and integrals. The derivative of a function at a given point represents the rate of change of the function at that point. One of the applications of derivatives is to determine velocity and acceleration of an object in motion. The process of finding an integral (integration) can be thought of as the inverse process of finding a derivative (differentiation). Applications of integrals include calculating areas of plane regions or surfaces, as well as calculating volumes of solids. Both derivatives and integrals are defined using the concept of limit.

Differential_Equations@	Differential_Geometry@
Math	Analysis
Applications	Calculus of Variations
High School Math	History
Integral Tables	Multivariable Calculus
Software	Homework Help
Online Texts

• A Calculus Primer 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.
• A Physicist's View of Teaching Calculus Topics in calculus that are important in physics
• Advanced Calculus and Analysis Lecture notes from the University of Aberdeen for a first course in Analysis.
• Advanced Calculus and Analysis Lecture notes by Ian Craw from a course at the Univ. of Aberdeen. HTML with GIFs.
• 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.
• Automatic Calculus Solutions Check calculus homework. Enter a function and click for a step-by-step derivative or integral with each step explained.
• Automatic Calculus Solutions Check calculus homework. Enter a function and click for a step-by-step derivative or integral with each step explained.
• Calculus and Physics Practice Exams Practice exams for applied calculus and physics in PDF and HTML formats. Detailed solutions to answers are given.
• Calculus I Introductory tutorial for calculus
• Calculus Made Easier An introduction to the basic concepts. The derivative and integral are explained. Resource links included.
• Calculus Made Easier An introduction to the basic concepts. The derivative and integral are explained. Resource links included.
• Calculus on the Internet Tutorials on calculus subjects ranging from precalculus to differential equations. Math tools and resource links.
• 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.
• Calculus Reference Offers a reference containing the main theories and equations of calculus
• Calculus Solutions Reference site with a vast amount of information and example problems which are alphabetically listed by topic.
• Calculus.org Directory of calculus links for tutorials, homework help, history sample tests, and tips on exam preparation.
• CalculusQuest An online differential calculus textbook including practice activities.
• Connected Calculus This is an applied calculus tutorial. Some prior calculus knowledge might be helpful.
• Dan the Tutor Features practice exams and worked out solutions covering limits, derivatives and integrals. In PDF format.
• Dan's Math at Home Lessons: Calculus Features step by step lessons to introductory calculus. Included are function and precalculus preview pages.
• 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.
• e-Calculus A basic calculus tutorial covering limits, derivatives and integrals. Uses a PDF format.
• Elliptic Integrals Asymptotic solutions to symmetric elliptic integrals.
• Graphics for the Calculus Classroom Graphical demonstrations developed by Douglas N. Arnold for the first year calculus student.
• Harvey Mudd College Tutorials Topics include precalculus, calculus, multivariable calculus, linear algebra and differential equations.
• Interactive Learning in Calculus and Differential Equations with Applications A classroom learning environment based on Mathematics notebooks.
• Karl's Calculus Tutor A place for a 1st year calculus student to come when he or she needs a helping hand. E-mail tutoring available.
• Karl's Calculus Tutor Introductory information on counting numbers, integers, limits, and derivatives.
• Karl's Calculus Tutorial Covers calculus of limits, continuity and derivatives in some detail. Also covers integrals and methods of integration.
• Langara College: Calculus Resources Covers limits, derivatives, integration, infinite series and parametric equations. Includes resource links for multivariable calculus, differential equations and math analysis.
• Math Shop: Review Questions Review quizzes for calculus, differential equations, linear algebra and other advanced math fields.
• Qrhetoric Calculus 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.
• Rick Stoll's Calculus 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.
• 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.
• Technology Based Problems Calculus and differential calculus problems are presented. The possible solution or solutions are given.
• That's Calculus Humorous approach to lessons , which are given using Real Player video clips. Topics cover the concept of limit, derivatives, and summation series.
• The Elementary Calculus Line Covers derivative and integral conversions as well as calculus rules. Includes practice exercises.
• The University of Minnesota Calculus Initiative 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.
• Topics in Integral and Differential Calculus An explanation and demonstration of the differential formulas, including an applet.
• 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.
• UBC Calculus Help: Integrals University of British Columbia course notes. Covers integration and series with applications. Illustrated with interactive Java applets.
• Understanding Calculus Features introduction to function limits, derivatives, and integration. Includes finding maxima and minima, area approximations, resource tables and related links.
• University of Aberdeen: Advanced Calculus Tutorial Covers functions, limits, convergence, divergence, sequences, differentiability and multivariable calculus.
• Visual Calculus Short descriptions and examples for limits, derivatives, and integrals. Various plug-ins are needed to view some of the pages.
• Visual Calculus Short descriptions and examples for limits, derivatives, and integrals. Various plug-ins are needed to view some of the pages.
• World Web Math: Calculus Summary An overview of calculus ideas. Covered are derivative rules and formulas as well as some basic integration rules.

 

 

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