21. 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.

22. 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

23. CLEP: Calculus Learn about the calculus CLEP examination. Find information about the test, knowledge and skills required, and study resources. Order the Official CLEP http://www.collegeboard.com/student/testing/clep/ex_calc.html

@import "/common/shared/css/p3_import.css"; @import "/common/student/css/import.css"; @import "/common/student/css/testing.css"; Jump to page content About Us Store Help ... Pay for College CLEP About CLEP CLEP for Military Personnel CLEP for Veterans CLEP in Minnesota ... Principles of Marketing Tools Colleges Granting CLEP Credit CLEP Test Centers CLEP for Professionals Order Individual Subject Guides CLEP Policies CLEP Policies vary from college to college. Before you register for a CLEP exam, use College Search to learn which exams your college recognizes. Go Real Deal "Participating in CLEP exams has helped me get a sense of what college is like." Claire, student, Arizona State University Got a Real Deal to share? Tell us Home College Board Tests CLEP: Exam Descriptions Calculus Print Full Article Calculus Calculus Exam information (.pdf/2.6MB) Back to top site map contact us about us ... careers collegeboard.com, Inc.

24. Karl's Calculus Tutor: Table Of Contents Table of Contents for Karl s calculus Tutor. Select from topics Limits, Continuity, Derivatives, MinMax, Related Rates, L Hopital s Rule, Integration, http://www.karlscalculus.org/calculus.html

Karl's Calculus Tutor Table of Contents last update 1-Mar-2007 IMPORTANT VIEWING NOTE: To properly view these pages, open your view port out to at least->>>>here If you can't see the word " here " in the line above, place your mouse-cursor on the right-hand edge of the frame, hold the left mouse button, and drag the right-hand edge of the screen to the right until you can see it. See browser notes for more details. click here Section Index 1) Number Systems 2) Limits 3) Continuity 4) Derivatives ... Online Calculator From B. Cherkas at CUNY: Table of Contents Please note that Karl's Calculus Tutor is still a work in progress. Expect a new unit to come on line every month or so. Currently being drafted: Applications of Integration (Areas) prependix a: Math Notation over the Web prependix b: Why Bother to Learn Calculus prependix c: Stuff You Should Already Know prependix d: Study Tips ... Karl's Calculus Forum where you can discuss calculus topics with other visitors to Karl's Calculus Tutor 0 Greetings and Welcome 1 Number Systems and Their Properties 1.0 Preliminaries

25. 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: NetMath Mentors Needed please apply . Class assistant applications are due by Thursday, December 6. Spring Netmath mentors are needed. Lab Hours Fall 2007 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.

26. Calculus Infinitesimals are used when appropriate, and are treated more rigorously than in old books like Thompson s calculus Made Easy, but in less detail than in http://www.lightandmatter.com/calc/

home books software courses ... books > Calculus This short introductory text focuses mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed. Infinitesimals are used when appropriate, and are treated more rigorously than in old books like Thompson's Calculus Made Easy , but in less detail than in Keisler's Elementary Calculus: An Approach Using Infinitesimals Numerical examples are given using the open-source computer algebra system Yacas , and Yacas is also used sometimes to cut down on the drudgery of symbolic techniques such as partial fractions. Proofs are given for all important results, but are often relegated to the back of the book, and the emphasis is on teaching the techniques of calculus rather than on abstract results. Download in Adobe Acrobat format - free Buy a printed copy - $7.17 Readers interested in the infinitesimal approach may also want to look at two other online books: Keisler , and A Brief Introduction to Infinitesimal Calculus by Stroyan.

27. Calculus I Features an introduction to limits, instaneous rate of change, differentiation methods, and relevant thereoms. http://www.mathematicshelpcentral.com/lecture_notes/calculus_1.htm

Calculus I Home Intermediate College Algebra Precalculus Algebra Precalculus Trigonometry ... Modern Algebra [ Calculus I ] Calculus II College Geometry Discrete Mathematics The following set of notes is listed in chronological order, not alphabetically. This is to promote understanding while walking through concepts. If there is a particular topic you're looking for, click the Search! link above and search the entire site. Derivative Formulas.pdf Most common derivatives all in one place! Calculus Prerequisites Introduction to Limits Techniques for Evaluating Limits Continuity ... Differentials I strive to provide accurate and error-free documentation concerning all aspects of mathematics. As a student, I do not hold the expertise or experience that my professors do. These notes represent countless hours of study, but they do NOT represent textbook-level proofing and editing. Since this project is managed by one student, I must rely on my peers for assistance. Please report any errors to errors@mathematicshelpcentral.com

28. 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.

29. Java At Xanadu calculus; Probability and Statistics. Notes and Credits. Links. Dale Greer s Bouncy Balls. calculus. Applets for experimenting with graphs of functions, http://xanadu.math.utah.edu/java/

Math Xanadu Java at Xanadu Web tools for Mathematics Calculus Probability and Statistics Notes and Credits Links Dale Greer's Bouncy Balls Calculus Applets for experimenting with graphs of functions, and notions like limits, tangents, derivatives, arc length, and area. Graph An applet for experimenting with graphs of cubic polynomials. Can easily be modified to graph anything. Source code Length An applet for experimenting with the arc length of graph of a cubic polynomial. Can easily be modified for other curves. Area An applet for experimenting the area under the graph of a cubic polynomial. Can easily be modified for other curves. Probability and Statistics Brownian motion 1 Brownian motion 2 Brownian motion 3 Brownian motion 3b ... Gambler's Ruin Notes and Credits Applets at Xanadu were written using the Roaster , compiler on a Power Macintosh 7600. These pages are provided by a Webstar server running on a Power Macintosh 7200.

30. * 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.

31. 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

32. 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 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 Area Volume Volume of solids of revolution Arc length ... Probability Parametric Equations

33. 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

34. Why Calculus? The goal of the course is to show why calculus has served as the principal quantitative language of science for more than three hundred years. http://www.math.nus.edu.sg/aslaksen/teaching/calculus.html

Why Calculus? Sir Isaac Newton, 1643-1727 Gottfried Wilhelm von Leibniz, 1646-1716 Objectives of the Module Topics to be Covered ... Project Topics Back to Helmer Aslaksen's home page. Objectives of the Module The goal of the course is to show why calculus has served as the principal quantitative language of science for more than three hundred years. How did Newton and Leibniz transform a bag of tricks into a powerful tool for both mathematics and science? Why is calculus so useful in geometry, physics, probability and economics? Why are mathematicians so concerned with rigor in calculus? Since calculus is about calculating, what is the relationship between calculus and computers? What is the relationship between calculus and new topics like chaos and nonlinearity? If you want to understand what calculus is really about, then this is the course for you. Topics to be Covered Ancient peoples, driven by natural curiosity and the demands of applications, confronted the problems of finding areas and volumes of various shapes. Their methods of solving these problems may be regarded as precursors to integration . Outstanding in this regard was the work of the Greeks, exemplified by Archimedes' solutions to numerous problems of quadrature, and the works of the Chinese mathematicians Liu Hui and Zu Chongzhi. Concepts resembling differentiation did not arise until much later.

35. 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

36. 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

37. UBC Calculus Online Homepage University of British Columbia course notes. Covers functions, derivatives and applications of derivatives in some detail. calculus labs or short quizzes http://www.ugrad.math.ubc.ca/coursedoc/math100/

The UBC Calculus Online Homepage Welcome to UBC Calculus Online. This site is an online supplement to Math 100, Sections 103, 104, 107 and 109, being taught within the University of British Columbia Department of Mathematics. Everyone is welcome and feedback is appreciated. Who We Are Course Notes Labs In class demonstrations Announcements Resources Links to some other interesting sites Please send us your comments.

38. 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.

39. 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

40. Interactive Learning In Calculus And Differential Equations With Applications A classroom learning environment based on Mathematics notebooks. http://www.ma.iup.edu/projects/CalcDEMma/Summary.html

Interactive Learning in Calculus and Differential Equations with Applications Click on this picture for a description of how it was generated. The Mathematics Department at Indiana University of Pennsylvania (IUP) established a computerized learning environment, consisting of a classroom with 31 Macintosh Centris 650s and a laboratory with 12 Macintosh LCs, all equipped with Mathematica . Mathematica's notebook feature enables science students to actively learn calculus and differential equations with guided discovery and exploration. The project was funded through a National Science Foundation Instrumentation and Laboratory Improvement grant, number DUE-9351896. IUP's project has several significant attributes. The Mathematics Department is fully implementing this curriculum in all sections of its science calculus sequence and in the two-semester differential equations sequence. Eleven faculty, comprising approximately one third of IUP's mathematics faculty, are coinvestigators. The curricular revisions are being coordinated with the science departments at IUP, who are also integrating active learning and technology in their courses. This collaboration, based on common pedagogical goals and software, will bring more scientific applications into mathematics courses and strengthen the use of mathematics in science courses. All students in the Mathematics Department are involved. Mathematics and Applied Mathematics majors are required to take Differential Equations, and Mathematics Education majors have a unit devoted to the project in the teacher preparation course, Computers and Calculators in Secondary Mathematics.

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