21. QuickMath Automatic Math Solutions The calculus section of QuickMath allows you to differentiate and calculus is a vast topic, and it forms the basis for much of modern mathematics. http://www.quickmath.com/www02/pages/modules/calculus/index.shtml

Algebra Expand Factor Simplify ... Determinant Graphs Equations Inequalities Numbers Percentages Scientific notation google_ad_client = "pub-8651647546713104"; google_ad_width = 120; google_ad_height = 600; google_ad_format = "120x600_as"; google_ad_type = "text"; google_ad_channel ="7739705934"; google_color_border = "336699"; google_color_bg = "FFFFFF"; google_color_link = "0000FF"; google_color_url = "008000"; google_color_text = "000000"; Calculus The calculus section of QuickMath allows you to differentiate and integrate almost any mathematical expression. What is calculus? Calculus is a vast topic, and it forms the basis for much of modern mathematics. The two branches of calculus are differential calculus and integral calculus. Differential calculus is the study of rates of change of functions. At school, you are introduced to differential calculus by learning how to find the derivative of a function in order to determine the slope of the graph of that function at any point. Integral calculus is often introduced in school in terms of finding primitive functions (indefinite integrals) and finding the area under a curve (definite integrals). Differentiate The differentiate command allows you to find the derivative of an expression with respect to any variable. In the advanced section, you also have the option of specifying arbitrary functional dependencies within your expression and finding higher order derivatives. The differentiate command knows all the rules of differential calculus, including the product rule, the quotient rule and the chain rule.

22. Calculus And Mathematica At UIUC A Mathematicabased calculus course. http://cm.math.uiuc.edu/

Home People Student Comments F.A.Q. The Courses Syllabi Students Homework Tips Homework Examples Download Lessons Help! Staff Lab Schedule Grading Tips Instructor Tips Tech Help Handin Systems ClassComm Moodle Links Netmath OSU Program Wolfram MathEverywhere News and Announcements: please apply . Class assistant applications are due by Tuesday, April 15th. Summer and Fall Netmath mentors are needed. Lab Hours Spring 2008 semester hours for lab in 239 Altgeld may be found here Mathematica News Mathematica for students through CITES is now available. It can be obtained here. The cost is $25 wtihout media (45 MB download) or $30 with the CD. It expires on 8/26/08 at which time it needs to be renewed. It will be renewed most likely at $25 again and will last until the following August.

23. I Love Calculus calculus LINKS So Hot they ll Make Your T-1 Line Sizzle AP Physics calculus Problems of the Week From Kentridge High School. Interactive calculus http://math.rice.edu/~lanius/misc/calcu.html

Okay, I admit it. I LOVE Calculus! IT'S AND It's Fun, AND It's a Challenge. Calculus LINKS- So Hot they'll Make Your T-1 Line Sizzle Volume Functions A Maximization Problem Calc 101 Automatic Calculus Solutions From Kentridge High School Interactive Calculus AP Calculus from the College Board Physics and Calculus Problems of the Week Finite Mathematics and Applied Calculus Resource Page Visual Calculus Mr. Calculus ... The rise of calculus For the history buffs among us www.calculus.net First Semester Calculus The Continuity-Differentiability Issue The Calculus Hater's Homepage The other side heard from (poor fellow) Karl's Calculus Tutor Lots of information Dr. Papa's Course at Rice U. complete with exams Integral Calc Exam from U of Pitt Differentiation Problems from U of Pitt Integration Problems Same Place Learning Calculus A How-To-Be-Successful List of Tips The Math Forum's Calculus links Math Forum's Math Tools: Calculus To Cynthia Lanius's Homepage To Cynthia Lanius' Math Lessons URL:http://math.rice.edu/~lanius/misc/calcu.html

24. E-Calculus Home Page ecalculus is a calculus I tutorial written in TeX and converted to the Adobe PDF format. Features include typeset quality mathematics, verbose discussion http://www.math.uakron.edu/~dpstory/e-calculus.html

A Note on the Retirement of D. P. Story Last Update: 5/01/2006 While the navigation system is out of order, here is a list of direct links to the tutorial files. Root Directory mainmenu.pdf maintut.pdf Calculus 1 Directory c1_menu.pdf Functions c1f_t.pdf c1f_t1.pdf Limits c1l_t.pdf c1l_t1.pdf c1l_t2.pdf c1l_tp.pdf Continuity c1c_t.pdf c1c_tp.pdf Differentiation c1d_t.pdf c1d_t1.pdf c1d_tp.pdf Integration c1i_t.pdf c1i_t1.pdf c1i_tp.pdf c1i_a.pdf ... What's New Get the Latest version of Acrobat Reader 5.0. Click on the Get Acrobat Icon above to go to the download area. e-Calculus is a Calculus I tutorial written in TeX and converted to the Adobe Portable Document Format (PDF). Features include verbose discussion of topics , typeset quality mathematics, user interactivity in the form of multiple choice quizzes, in-line examples and exercises with complete solutions, and pop-up graphics. If you are a first time user, be sure to check out the section entitled Important Components and the section Important Information directly below it before you start e-Calculus e-Calculus is viewed in the PDF format. This requires that you have

25. Calculus, Calculus Tutoring, Calculus Help, Math, Online Tutoring - Tutorvista.c You can start off with our calculus tutor in precalculus which contains revision of algebra, trigonometry, logarithms, exponents, functions and go on to http://www.tutorvista.com/content/math/calculus/calculus.php

Welcome! Customer Care Chat Login Subject Math > Calculus Calculus Calculus is a big step up from Algebra and TutorVista guides the students in understanding it. Precalculus which is the base required to start off with Calculus will be tutored on a one on one basis with emphasis on Algebra, Trigonometry, Functions and Geometry. Give a strong foundation and move on to Calculus, starting from defining Limits and L’Hospital’s rule to Derivatives which will introduce the student to definition of a derivative to Product and Chain rules and to Integrals and Anti-Derivatives Functions Limits and Continuity Left Hand Limit: Let f(x) tend to a limit l as x tends to a through values less than 'a', then l is called the left hand limit. Right Hand Limit: Let f(x) tend to a limit l as x tends to 'a' through values greater than 'a', then l is called the right hand limit. We say that limit of f(x) exists at x = a, if l and l are both finite and equal. 1. We say that f(x) is continuous if f(x) is continuous at every point in its domain. 2. If f and g are two continuous functions then f + g, f - g, fg are continuous functions.

26. Calculus - Content Standards (CA Dept Of Education) When taught in high school, calculus should be presented with the same level of depth and rigor as are entrylevel college and university calculus courses. http://www.cde.ca.gov/be/st/ss/mthcalculus.asp

Search Advanced Site Map A-Z Index Professional Development ... Printer-friendly version Calculus Grades Eight Through Twelve - Mathematics Content Standards. Students demonstrate knowledge of both the formal definition and the graphical interpretation of limit of values of functions. This knowledge includes one-sided limits, infinite limits, and limits at infinity. Students know the definition of convergence and divergence of a function as the domain variable approaches either a number or infinity: 1.1 Students prove and use theorems evaluating the limits of sums, products, quotients, and composition of functions. 1.2 Students use graphical calculators to verify and estimate limits. 1.3 Students prove and use special limits, such as the limits of (sin(x))/x and (1-cos(x))/x as x tends to 0. Students demonstrate knowledge of both the formal definition and the graphical interpretation of continuity of a function. Students demonstrate an understanding and the application of the intermediate value theorem and the extreme value theorem.

27. Elementary Calculus An online book by H. Jerome Keisler. Covers differentiation, continuous functions, integration, limits, applications, infinite series, vector calculus and http://www.math.wisc.edu/~keisler/calc.html

Elementary Calculus: An Approach Using Infinitesimals This is a calculus textbook at the college Freshman level based on Abraham Robinson's infinitesimals, which date from 1960. Robinson's modern infinitesimal approach puts the intuitive ideas of the founders of the calculus on a mathematically sound footing, and is easier for beginners to understand than the more common approach via limits. This work is licensed for non-commercial use under a Creative Commons License The whole book in one large file (25 megabytes) Single chapters in much smaller files: Preface to First and Second Editions Contents and Introduction Chapter 1 Real and Hyperreal Numbers Chapter 2 Differentiation Chapter 3 Continuous Functions Chapter 4 Integration Chapter 5 Limits, Analytic Geometry, and Approximations Chapter 6 Applications of the Integral Chapter 7 Trigonometric Functions Chapter 8 Exponential and Logarithmic Functions Chapter 9 Infinite Series Chapter 10 Vectors Chapter 11 Partial Differentiation Chapter 12 Multiple Integrals Chapter 13 Vector Calculus Chapter 14 Differential Equations Appendix Epilogue

28. Calculus - Wikibooks, Collection Of Open-content Textbooks We at the Wikibook of calculus aim to write a quality textbook to facilitate mastering the topics of differentiation, integration, infinite series, conics, http://en.wikibooks.org/wiki/Calculus

Calculus From Wikibooks, the open-content textbooks collection Jump to: navigation search Welcome to the Wikibook of Calculus beginning with Prerequisites and the Disciplines of Differentiation and Integration and continuing with Further Studies Mathematics is a universal study. It can be studied for its own sake as pure mathematics , or it can be applied to the natural world and to humanity as in the study of statistics . In the natural world, the nautilus shell presents one of the finest natural examples of a logarithmic spiral Mission We at the Wikibook of Calculus aim to write a quality textbook to facilitate mastering the topics of differentiation, integration, infinite series, conics, and parametric and polar equations. Please contribute wherever you feel the need. Printable Version There is a printable version of this book. Contents Introduction Precalculus Contents Functions Exercises Limits Contents Introduction to Limits Finite Limits Infinite Limits Continuity ... Exercises Differentiation Basics of Differentiation Differentiation - An Introduction More differentiation rules - More rules for differentiation Higher Order derivatives - An introduction to second power derivatives Implicit Differentiation Exercises Applications of Derivatives Newton's Method Related Rates Kinematics Optimization ... Exercises Important Theorems Extreme Value Theorem Rolle's Theorem Mean Value Theorem Integration Basics of Integration Integration Integration techniques Integration techniques Further integration techniques Improper integrals Exercises Applications of Integration

29. THE CALCULUS PAGE PROBLEMS LIST Features topic summaries with practice exercises for derivative and integral calculus. Includes solutions. Authored by DA Kouba. http://www.math.ucdavis.edu/~kouba/ProblemsList.html

THE CALCULUS PAGE PROBLEMS LIST Problems and Solutions Developed by : D. A. Kouba And brought to you by : eCalculus.org Beginning Differential Calculus : Problems on the limit of a function as x approaches a fixed constant limit of a function as x approaches plus or minus infinity limit of a function using the precise epsilon/delta definition of limit limit of a function using L'Hopital's Rule Problems on the continuity of a function of one variable Problems on the "Squeeze Principle" Problems on the limit definition of the derivative Problems on the chain rule Problems on the product rule Problems on the quotient rule Problems on differentiation of trigonometric functions Problems on differentiation of inverse trigonometric functions Problems on detailed graphing using first and second derivatives Problems on applied maxima and minima Problems on implicit differentiation Problems on related rates Problems on logarithmic differentiation Problems on the differential Problems on the Intermediate-Value Theorem Problems on the Mean Value Theorem Beginning Integral Calculus : Problems using summation notation Problems on the limit definition of a definite integral Problems on u-substitution Problems on integrating exponential functions Problems on integrating trigonometric functions Problems on integration by parts Problems on integrating certain rational functions, resulting in

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

The Connected Curriculum Project Contents Models, Data, and Curve Fitting Estimation and Limits Sequences and Discrete Dynamical Systems Derivatives and Differention ... Numerical Methods Models, Data, and Curve Fitting A Guide to this Chapter. The Mean and the Median Linear Models Linear Regression Quadratic Models Exponential Models Logistic Models Periodic Models Contents Estimation and Limits A Guide to this Chapter. Introduction When is it Safe to Drink the Water? A Descriptive Look Estimation and Limits Area ... Contents Sequences and Discrete Dynamical Systems A Guide to this Chapter. Quickstart Population Models Exponential Models Exponential Models with Immigration Linear Dynamical Systems ... Contents Derivatives and Differention A Guide to this Chapter. Introduction Curved Mirrors Comparing a Function with its Derivative Computing the Derivative as a Limit Visualizing the Derivative as a Limit Sometimes There Isn't a Tangent Interpretation Powers Linearity of the Derivative Polynomials Derivatives of the Trigonometric Functions Product Rule Quotient Rule Chain Rule Inverse Function Rule Derivatives of the Inverse Trigonometric Functions The Exponential Function Logarithms Implicit Differentiation Related Rates Mean Value Theorem Higher Order Derivatives Partial Derivatives Directional Derivatives The Gradient Contents Graphing A Guide to this Chapter.

31. Mr. Calculus The 2003 AP Free Response solutions are linked on the Mr. calculus page. The 2002 AP Free Response solutions are linked on the Mr. calculus page. http://www.geocities.com/athens/acropolis/6432/

Ask Mr. Calculus Mr. Calculus is available to give you hints on your calculus/mathematics questions. Click "Ask Mr. Calculus".>Hints for mathematics subjects up to Calculus BC. Click above to go to Mr. Calculus page The 2004 AP Free Response solutions are linked on the Mr. Calculus page. The 2003 AP Free Response solutions are linked on the Mr. Calculus page. The 2002 AP Free Response solutions are linked on the Mr. Calculus page. Form B 2002 AP Free Response solutions are also linked on the Mr. Calculus page. Click above and then on the link on the Ask Mr. Calculus page. Alternate link to Mr. Calculus that has very few images on the page for those with slower connections

32. Pauls Online Notes : Calculus I Here are my online notes for my calculus I course that I teach here at Lamar University. Despite the fact that these are my “class notes” they should be http://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx

MPBodyInit('CalcI_files') Paul's Online Math Notes Online Notes / Calculus I You can navigate through this E-Book using the menu to the left. For E-Books that have a Chapter/Section organization each option in the menu to the left indicates a chapter and will open a menu showing the sections in that chapter. Alternatively, you can navigate to the next/previous section or chapter by clicking the links in the boxes at the very top and bottom of the material. Also, depending upon the E-Book, it will be possible to download the complete E-Book, the chapter containing the current section and/or the current section. You can do this be clicking on the E-Book Chapter , and/or the Section link provided below. For those pages with mathematics on them you can, in most cases, enlarge the mathematics portion by clicking on the equation. Click the enlarged version to hide it. E-Book Review Calculus I (Math 2413) Here are my online notes for my Calculus I course that I teach here at Lamar University.  Despite the fact that these are my “class notes” they should be accessible to anyone wanting to learn Calculus I or needing a refresher in some of the early topics in calculus.  I’ve tried to make these notes as self contained as possible and so all the information needed to read through them is either from an Algebra or Trig class or contained in other sections of the notes.

33. Multivariable Calculus Textbook by George Cain and James Herod. Chapters in PDF. http://www.math.gatech.edu/~cain/notes/calculus.html

Multivariable Calculus George Cain James Herod This is a textbook for a course in multivariable calculus. It has been used for the past few years here at Georgia Tech. The notes are available as Adobe Acrobat documents. If you do not have an Adobe Acrobat Reader, you may down-load a copy, free of charge, from Adobe Title page and Table of Contents Table of Contents Chapter One - Euclidean Three Space 1.1 Introduction 1.2 Coordinates in Three-Space 1.3 Some Geometry 1.4 Some More GeometryLevel Sets Chapter Two - VectorsAlgebra and Geometry 2.1 Vectors 2.2 Scalar Product 2.3 Vector Product Chapter Three - Vector Functions 3.1 Relations and Functions 3.2 Vector Functions 3.3 Limits and Continuity Chapter Four - Derivatives 4.1 Derivatives 4.2 Geometry of Space CurvesCurvature 4.3 Geometry of Space CurvesTorsion 4.4 Motion Chapter Five - More Dimensions 5.1 The space R n 5.2 Functions Chapter Six - Linear Functions and Matrices 6.1 Matrices 6.2 Matrix Algebra Chapter Seven - Continuity, Derivatives, and All That 7.1 Limits and Continuity

34. Calculus - Definition From The Merriam-Webster Online Dictionary Definition of calculus from the MerriamWebster Online Dictionary with audio pronunciations, thesaurus, Word of the Day, and word games. http://www.merriam-webster.com/dictionary/calculus

Home Visit Our Sites Unabridged Dictionary Learner's Dictionary ... Contact Us Also Visit: Unabridged Encyclopedia Britannica Visual ESL: Learner's for Kids: Spell It! Word Central Dictionary Thesaurus Spanish/English Medical Search "calculus" in: Thesaurus Spanish/English Medical Dictionary Open Dictionary Browse words next to: calculus Browse the Dictionary: A B C D ... Z calculus 10 entries found. calculus calculus of variations differential calculus felicific calculus functional calculus infinitesimal calculus integral calculus predicate calculus propositional calculus sentential calculus Main Entry: Pronunciation: Function: noun Inflected Form(s): plural also Etymology: Latin, stone (used in reckoning) Date: 1 a  a method of computation or calculation in a special notation (as of logic or symbolic logic) b the calculation 3 a  a concretion usually of mineral salts around organic material found especially in hollow organs or ducts b tartar  a system or arrangement of intricate or interrelated parts Learn more about "calculus" and related topics at Britannica.com

35. First Year Calculus The material has been organized in such a way to create a single volume suitable for use in the calculus half of the units MATH135, MATH136, http://www.maths.mq.edu.au/~wchen/lnfycfolder/lnfyc.html

First Year Calculus by WWL Chen This set of notes has been compiled over a period of some 25 years. Some chapters were used in various forms and on many occasions between 1981 and 1990 by the author at Imperial College, University of London. The remaining chapters were written in Sydney. All chapters have been in use at Macquarie University since 1994. The material has been organized in such a way to create a single volume suitable for use in the calculus half of the units MATH135, MATH136, MATH132 and MATH133 at Macquarie University. However, the material is currently under revision, and the revised chapters will be made available for students in MATH135 and MATH132 on this site during Semester 1 in 2006. For the benefit of students enrolled in MATH136 in 2006 Semester 1, the existing version of the notes can be accessed by clicking here To read the notes, click the chapters below for connection to the appropriate PDF files. You will need Adobe Acrobat Reader Version 5.0 or later. The material is available free to all individuals, on the understanding that it is not to be used for financial gains, and may be downloaded and/or photocopied, with or without permission from the author. However, the documents may not be kept on any information storage and retrieval system without permission from the author, unless such system is not accessible to any individuals other than its owners. Chapter 1: THE NUMBER SYSTEM (last uploaded on 27 February 2006) The Real Numbers The Natural Numbers Completeness of the Real Numbers

36. Calculus General topics for calculus, including definition of derivatives, Leibniz s formula of derivatives, L Hôspital s rule, and integration by parts. http://www.efunda.com/math/calculus/calculus.cfm

Calculus About Us Directory Career News ... Ask an Expert Calculus General Topics Derivatives Integrals Resources Bibliography Login Free Magazines Automation World ... more Search All Materials Design Center Processes Units and Constants Formulas Mathematics for Home Membership Palm Store Forum ... Math General Topics Definition of Derivatives is the derivative of . The process of taking derivatives is called differentiation Similarly, the higher derivatives of can be defined by When there is more than one variable in a function, the derivative of the function should be specified with respect to a particular variable. For example, is the partial derivative of with respect to while keeping and constant. In contrast to the partial derivative, the differential of is defined by Leibniz's Formula for Derivatives . If both and are differentiable in the domain except possibly at , then The process can be repeated until the equivalent limit is found. Integration by Parts : Integration by parts is one of the most commonly used integration formulas. Top of Page Membership About Us Privacy ... Advertise var gaJsHost = (("https:" == document.location.protocol) ? "https://ssl." : "http://www."); document.write(unescape("%3Cscript src='" + gaJsHost + "google-analytics.com/ga.js' type='text/javascript'%3E%3C/script%3E"));

37. * Calculus Primer An easy tutorial that presents the core ideas of calculus. http://www.arachnoid.com/calculus/

Home * Calculus Primer * Calculus Primer 02. A Moving Experience 03. Derivation 04. Integration 05. Volume 1 06. Volume 2 07. Differential 1 08. Differential 2 09. Differential 3 10. Tools Calculus Primer 1: Introduction Message Page (double-click any word to see its definition) Readers' Comments I took Calculus many moons ago and it was not expressed the same way with the beauty you have given it. I truly appreciate your Calculus pages. They are the best that I have seen ... not to say that this will get me an A in Calc. However, for a person who is over 16 years removed from algebra, geometry, trig, pre-calc. (high school). You explain things clearly and concisely, in laymans language. You are obviously brilliant, but unlike many mathematics educators, you connect to the student, and explain things in a way that almost anyone can grasp. Thank you for not explaining Calculus like a mathematican, but like an everyday person who wants others to understand what he has a passion about. Your Calculus tutorial is a real joy for my 15 year old who is about to take on the challenge. Overview I wish Calculus had a better name.

38. Advanced Calculus And Analysis MA1002 Covers functions, limits, convergence, divergence, sequences, differentiability and multivariable calculus. http://www.maths.abdn.ac.uk/~igc/tch/ma2001/notes/notes.html

Next: Foreword Up: MA2001 Home Page Contents Index Advanced Calculus and Analysis Ian Craw Foreword These Notes Acknowledgements Contents ... The probability integral e d x The number e is irrational Differentiation of Functions of Several Variables Functions of Several Variables Graphing functions of Several Variables Continuity ... About this document ... Ian Craw 2002-01-07

39. Lee Lady: Topics In Calculus Lee Lady Lectures on various top;ics such as applications of integration, convergence of infinite series, curvature, discontinuities for functions of http://www.math.hawaii.edu/~lee/calculus/

Topics in Calculus Lee Lady A Conceptual Approach to Applications of Integration The Derivatives of the Sine and Cosine Functions Max-min Problems Max-min Problems for Two Variables ... Review Problems for Differential Equations In my opinion, calculus is one of the major intellectual achievements of Western civilization - in fact of world civilization. Certainly it has had much more impact in shaping our world today than most of the works commonly included in a Western Civilization course books such as Descartes's Discourse on Method or The Prince by Machiavelli. But at most universities, we have taken this magnificent accomplishment of the human intellect and turned it into a boring course. Sawyer's little book What Is Calculus About? (Another book in the same vein, but more recent, is The Hitchhiker's Guide to Calculus by Michael Spivak.) For many of us mathematicians, calculus is far removed from what we see as interesting and important mathematics. It certainly has no obvious relevance to any of my own research, and if it weren't for the fact that I teach it, I would long ago have forgotten all the calculus I ever learned. But we should remember that calculus is not a mere "service course." For students, calculus is the gateway to further mathematics. And aside from our obligation as faculty to make all our courses interesting, we should remember that if calculus doesn't seem like an interesting and worthwhile subject to students, then they are unlikely to see mathematics as an attractive subject to pursue further.

40. Calculus And Probability Online course by Stefan Waner and Steven R. Costenoble. http://www.hofstra.edu/~matscw/cprob/cprobintro.html

Calculus Applied to Probability and Statistics for Liberal Arts and Business Majors A Complete Text Resource on the World Wide Web by Stefan Waner and Steven R. Costenoble Table of Contents 1. Continuous Random Variables and Histograms Exercises 2. Probability Density Functions: Uniform, Exponential, Normal, and Beta Exercises 3. Mean, Median, Variance and Standard Deviation Exercises 4. You're the Expert Creating a Family Trust Back to Main Page Introduction Y ou are a financial planning consultant at a neighborhood bank. A 22-year-old client asks you the following question: "I would like to set up my own insurance policy by opening a trust account into which I can make monthly payments starting now, so that upon my death or my ninety-fifth birthday - whichever comes sooner - the trust can be expected to be worth $500,000. How much should I invest each month?" Assuming a 5% rate of return on investments, how should you respond? To answer the question on the previous page, we must know something about the probability of the client's dying at various ages. There are so many possible ages to consider (particularly since we should consider the possibilities month by month) that it would be easier to treat his age at death as a continuous variable, one that can take on any real value (between 22 and 95 in this case). The mathematics needed to do probability and statistics with continuous variables is calculus. The material on statistics in this resource will be readily accessible to you if you are familar with derivatives and integrals (through Chapter 6 of

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