61. Index Of /Calculus/Series ParentDirectory 28May-2002 1133 - 1.tex 22-Jan-2002 2124 1k 1.tex......Index of /calculus/series. Name Last modified Size http://mark.math.helsinki.fi/Calculus/Series/

Index of /Calculus/Series Name Last modified Size Description ... Parent Directory 28-May-2002 11:33 - 1.tex 22-Jan-2002 21:24 1k 1.tex.bak 22-Jan-2002 21:24 1k 2.tex 22-Jan-2002 21:24 1k 2.tex.bak 22-Jan-2002 21:24 1k 3.tex 22-Jan-2002 21:24 1k 4.tex 22-Jan-2002 21:24 2k 4.tex.bak 22-Jan-2002 21:24 2k 5.tex 22-Jan-2002 21:24 1k 5.tex.bak 22-Jan-2002 21:24 1k 5x.tex 22-Jan-2002 21:24 1k 5x.tex.bak 22-Jan-2002 21:24 1k WS_FTP.LOG 23-Jan-2002 02:13 1k 23-Jan-2002 02:12 - harmonic.gif 22-Jan-2002 21:24 12k harmonic.mws 22-Jan-2002 21:24 2k Apache/1.3.22 Server at MARK-MATH.helsinki.fi Port 80

62. Mika Seppälä Single Variable Calculus 20. Antiderivatives discussion of antiderivatives including Fundamental Theoremof calculus, examples of integration by Maple. 21. 26. Harmonic series. 27. http://mark.math.helsinki.fi/Calculus-2003/

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63. Calculus Notes (PostScript) invtrig.ps (7 pages, 317,541 bytes) calculus of inverse trig functions series.ps(11 pages, 285,633 bytes) series geometric series, the Zero Limit Test, the http://www.millersv.edu/~bikenaga/calculus/calcnote.html

Calculus Notes (PostScript) These are links to PostScript files containing notes for various topics in calculus. How do I view/print the notes? How may I use/distribute the notes? How did you write them? I haven't written notes for all the topics covered in calculus - so if something isn't covered here, it's probably because it hasn't been written up yet. Most of these are in rough form, with some heuristic discussion and examples (but few proofs). As I write or update my notes, I'll put copies here. If you just want worked-out problems, check out the calculus review sheets These notes are in two groups. The first group contains notes on topics in single-variable calculus. At most schools, this takes two terms; the courses are usually called Calculus I and Calculus II limintr.ps (4 pages, 92,118 bytes) : An introduction to limits; basic computations. limlr.ps (5 pages, 144,164 bytes) : Left and right-hand limits. limdef.ps (4 pages, 164,489 bytes) : The limit definition. limprop.ps (4 pages, 85,506 bytes) : Properties of limits. inflim.ps (6 pages, 176,498 bytes)

64. Skoool.ie ::: Exam Centre - Senior Cycle Further calculus and series. So in the Option, all we do is take a very smallsample of some of the more advanced ideas from calculus and series. http://www.skoool.ie/skoool/examcentre_sc.asp?id=719

65. Master Math: Calculus (Master Math Series) Master Math calculus (Master Math series). Master Book Master Mathcalculus (Master Math series) Customer Reviews Average http://www.edu-books.com/Master_Math_Calculus_Master_Math_Series_1564143376.html

Master Math: Calculus (Master Math Series) Master Math: Calculus (Master Math Series) by Authors: Debra Anne Ross Released: June, 1998 ISBN: 1564143376 Hardcover Sales Rank: List price: Our price: You save: Book > Master Math: Calculus (Master Math Series) > Customer Reviews: Average Customer Rating: Master Math: Calculus (Master Math Series) > Customer Review #1: Master Math: Calculus Table of Contents Master Math: Calculus Table of Contents Introduction Chapter 1. Functions 1.1.Functions: types, properties and definitions 1.2.Exponents and logarithms 1.3.Trigonometric functions 1.4. Circular motion 1.5.Relationship between trigonometric and exponential functions 1.6.Hyperbolic functions 1.7.Polynomial functions 1.8.Functions of more than one variable and contour diagrams 1.9.Coordinate systems 1.10. Complex numbers 1.11. Parabolas, circles, ellipses and hyperbolas Chapter 2. The Derivative

66. Pre-Calculus (Large Edition Straight Forward Math Series) Precalculus (Large Edition Straight Forward Math series). Book Pre-calculus(Large Edition Straight Forward Math series) Customer Reviews http://www.edu-books.com/PreCalculus_Large_Edition_Straight_Forward_Math_Series_

Pre-Calculus (Large Edition Straight Forward Math Series) Pre-Calculus (Large Edition Straight Forward Math Series) by Authors: Stan Vernooy , Kathy Kifer Released: June, 1993 ISBN: 0931993539 Paperback Sales Rank: List price: Our price: Book > Pre-Calculus (Large Edition Straight Forward Math Series) > Customer Reviews: Average Customer Rating: Pre-Calculus (Large Edition Straight Forward Math Series) > Customer Review #1: An average book. I got this book last summer to prepare for next school year (I registered for Honors Precal-Trig). When I got this book, I was rather disappointed. When I look at the book after I finish the course, the book covers what looks more like Algebra 2, and problems are not explained. If you are having hard time in math, and want easy problems to do, you may want this book. But if youre pretty good, and think using this as a reference throughout the course, then dont get this book. Pre-Calculus (Large Edition Straight Forward Math Series) > Related Products Trigonometry (Large Edition Straight Forward Math Series) Geometry (Large Edition Straight Forward Math Series) Algebra (Straight Forward Math Series/Book 1) Pre-Algebra, Book 1 (Straight Forward Math Series/Book 1)

67. Calculus (College Review Series) By Elliot C. Gootman (Paperback - September 199 Buy calculus (College Review series) by Elliot C. Gootman (Paperback September1997) from home at our online store. calculus (College Review series). http://www.mathbook.com/c/Calculus/Calculus_College_Review_Series__0812098196.ht

Award Winning Electronic Explorer Globe by LeapFrog At Amazon on 4-15-2003. More Info This award-winning globe could help children become A+ geography students. The Explorer Globe II is jam-packed with hundreds of facts, trivia, and useful scholastic information about every aspect of the geographical world. It electronically verbalizes everything from area population, capitol city/country, state/province, large bodies of water, currencies, high points, distance, and more. Other remarkable features make the Explorer an even more useful reference tool. It has a world clock that, once set from your home area, will tell the time in every other part of the world. And any country can be selected to hear a sample its national music (yes, Tahiti does have a national anthem). The globe sits on a sturdy base, which features a dashboard full of interactive functions and an attached soft-tipped stylus. This stylus is the key instrument: use it to touch virtually any point on the surface of the globe to retrieve information. Diane Beall Batteries: 4 C batteries required. Visit Our Sites: Buy Law Books Top Quality Wrist Watches

68. Mastering Calculus Series - Grades 11-12 Grades 912. Mastering calculus series - Grades 11-12 Developed byNECTAR Foundation Titles Area Integration Trigonometry Curve http://www.wkbradford.com/mastcalc.html

Grades 9-12 Mastering Calculus Series - Grades 11-12 Developed by: NECTAR Foundation Titles: Trigonometry Curve Sketching Limits Derivatives The Mastering Calculus Series covers five topics of an introductory Calculus course. Each program contains a powerful, yet flexible and easy-to-use interactive tutorial with lessons and questions. The series provides for self-directed, self-paced, individualized learning. The programs quickly and easily isolate student strengths and weaknesses and identify and prescribe the specific remediation required. Mastering Calculus lessons foster student responsibility for learning - students progress at their own rate. Post tests provide detailed analysis that is cross-referenced to the tutorial material. Each module consists of three software components that: evaluate prerequisite skill levels, present interactive tutorials, and provide summative assessment. Mastering Calculus allows you to easily establish whether or not a student has all of the necessary skills prior to starting a new unit of study. The first component of each module performs a diagnosis of the student's knowledge of prerequisite skills. Results indicate if the student is ready for the unit, and if not, what specific remediation is required. The tutorials combine text, graphics, animation, sample problems, and student exercises to allow students to progress at their own rate. Randomly generated questions with step by step solutions are available to students at a variety of cognitive levels. This component of each module encourages student responsibility for learning.

69. MemoWare PDA Bookstore: Calculus. Infinite Sequences And Series [Secure Adobe Re This eBook is intended for all students who study calculus, and considers 150 typicalproblems on infinite sequences and series, fully solved stepby-step. http://www.pdabookstore.com/servlet/mw?t=book&bi=14648&si=4

70. Goldstein Calculus Series © Copyright 20032004 by Pearson Prentice Hall ® PearsonEducation, Inc. ; Contact Us Legal Notice. http://www.prenhall.com/goldstein/

Pearson Prentice Hall Pearson Education, Inc. ; Contact Us Legal Notice

71. Differential Calculus - The 6 Series (E63/E64) Message Board The 6 series (E63/E64) Message Board Message Posts SMG and jerkiness jim4962004-04-24 173232 (201 views) (307 thread views) differential calculus - http://bimmer.roadfly.org/bmw/forums/e63/5021327-1.html

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72. Re: Differential Calculus - The 6 Series (E63/E64) Message Board The 6 series (E63/E64) Message Board Message Posts SMG and jerkiness jim4962004-04-24 173232 (195 views) (292 thread views) differential calculus http://bimmer.roadfly.org/bmw/forums/e63/5022496-1.html

Daily Deals Web Links Sponsors Index Photo Gallery ... Issue 11 March 30, 2004 Live, From Detroit, It's the 2004 NAIAS! Detroit Auto Show Awards Detroit Auto Show Photo Gallery Hunter Engineering: Keeping in Balance ... WORK Wheels Introduction Current Models 3 Series (E46) 5 Series (E60) 6 Series (E63/E64) 7 Series (E65/E66) Future Models 1 Series (E81) 3 Series (E90) Past Models Z3 Coupe 3 Series (E36) 3 Series (E30) 3 Series (E21) ... 8 Series (E31) Specialty Forums BMW Motorsports Club Racing Forum Financing/Leasing Forum Crevier Parts Counter ... Test Forum Regional Forums New England TriState Mid Atlantic/DC Metro Midwest ... United Kingdom Off-topic Lounges E46 Lounge E36 Lounge E30 Lounge E39 Lounge ... ///M Lounge Current Models CTS/CTS-V SRX Escalade XLR Current Models X-Type S-Type X350 (New XJ8) XK8/XKR Future Models F-Type Past Models XKE XJS XJ8/XJR Elise ... turboesprit list archive Current Models W209 CLK W203 C Class W203 AMG C Class W211 E Class ... R230 SL Future Models W221 S Class R171 SLK Past Models W208 CLK W202 C Class W202 AMG C Class W201 190 E,D Class ... R113 SL Current Models MINI Cooper Past Models Classic Mini Off-topic Lounges MINI Lounge MINI Car Club of America Click Here to Join!.

73. MathPages: Calculus And Differential Equations The Fundamental Anagram of calculus Functions With No Zero Derivatives High Order RemovableSingularity in LeadLag Coefficients Convergence of series (How NOT http://www.mathpages.com/home/icalculu.htm

Calculus and Differential Equations The Laplace Equation and Harmonic Functions Curvature, Intrinsic and Extrinsic Radial Paths in Schwarzschild Spacetime Analytic Functions, The Magnus Effect, and Wings ... Math Pages Main Menu

74. Calculating Pi Using Elementary Calculus methods for the calculation of pi which only use elementary calculus, but nevertheless t6 + and integrating termby-term, we obtain the infinite series. http://www.ams.org/new-in-math/cover/pi-calc.html

Calculating Pi using Elementary Calculus There are many powerful and sophisticated methods known for the calculation of pi, and, using these methods, pi has been calculated to billions of decimal places. Here we present two methods for the calculation of pi which only use elementary calculus, but nevertheless are surprisingly effective. By way of comparison, note that pi = 3.14159265358979323846... . Method 1 This method uses the fact that Setting x = pi/n , we see that, for n large, pi is approximately equal to To use this, we must be able to compute sin(pi/n) . Recall the trigonometric identities sin(x/2) = sqrt((1-cos(x))/2), cos(x/2) = sqrt((1+cos(x))/2), valid for , where we take the positive square roots. Thus, if we know sin(pi/n) and cos(pi/n) , we may compute sin(pi/2n) and cos(pi/2n) , and then proceed recursively. Of course, we know sin(pi/6) = 1/2 and cos(pi/6) = sqrt(3)/2 . We thus obtain the following table: n sin(pi/n) cos(pi/n) Method 2 Beginning with the integral and writing 1/(1 + t ) = 1 - t + t - t and integrating term-by-term, we obtain the infinite series

75. Pi Through Calculus Good. Now, let s put our knowledge of calculus, series, and Trigonometrytogether to get our favorite number. Integrating the series. http://members.aol.com/purseweb/calc.html

Pi Through Calculus So you want to calculate pi the "real" way, just as the great Gottfried Wilhelm Leibniz did in 1674? Hold on tight, here comes some calculus: Differentiation and Integration in a Nutshell The derivative of a function is an equation for the tangent line at any value of x for which that function is defined. Here is a technical explanation and formula: The limit definition comes from the formula for the slope of a line, the classic "change in vertical/change in horizontal." Here, the change in horizontal distance is approaching 0. Fortunately, there are simpler rules for finding derivatives of specific functions. The very first thing to be learned from the limit definition, however, is that the derivative of any constant is 0. This is because the line y=c, such as y=4 or y=9, has no vertical change and therefore no slope. So, if you see a constant that is not multiplied by a variable, know that its derivative is 0. The most important rule for approximating pi is the Power Rule. The Power Rule states that the derivative of the function x^n is nx^(n-1). We represent "the derivative of" with the letters "d/dx." In symbols: The other rule to bear in mind is the Constant Multiple Rule: This means that, while the derivative of just any old number is 0, if it is multiplied by a function, the constant stays multiplied by the function's derivative when that derivative is taken. This applies especially to the number -1. For example, the derivative of -x^2 is -1(2x).

76. Maple PowerTools - Calculus II Milwaukee Department of Mathematics developed 24 of the lessons as part of theircalculus sequence. Lesson 16 Introduction to Infinite series, preview. download. http://www.mapleapps.com/powertools/calcII/calcII.shtml

Maple MapleNet Maple T.A. Toolboxes ... Contact Us This is a complete set of Maple lessons for a Calculus 2 course. The University of Wisconsin-Milwaukee Department of Mathematics developed 24 of the lessons as part of their calculus sequence. Dr. Jack Wagner recently supplemented the collection with 12 new lessons. Download the full set of 36 Maple lessons Preview the lessons individually Lesson 1: Area Between Curves preview download Lesson 1a: Areas of Planar Regions preview download Lesson 2: Solids of Revolution preview download Lesson 3: Applications of Integration 1: Work preview download Lesson 4: Applications of Integration 2: Average Value of a Function preview download Lesson 5: Applications of Integration 3: Area of a Surface of Revolution preview download Lesson 6: Applications of Integration 4: Arc Length of Graphs preview download Lesson 7: Applications of Integration 5: Moments and Center of Mass preview download Lesson 7a: Applications of Integration 6: Centroids preview download Lesson 8: Integration by Substitution preview download Lesson 9: Integration by Substitution: 20 Worked Examples preview download Lesson 10: Integration by Parts preview download Lesson 11: Integration of Rational Functions preview download Lesson 12: Integration of Trigonometric Powers preview download Lesson 13: Integration Techniques Summary and Review

77. Areas Of Mathematics Related To Calculus Differentiation, integration, series, and so on are familiar to studentsof elementary calculus. But these topics lead in a number http://www.math.niu.edu/~rusin/known-math/index/tour_cal.html

Search Subject Index MathMap Tour ... Help! Calculus and Real analysis Return to start of tour Up to Mathematical Analysis Differentiation, integration, series, and so on are familiar to students of elementary calculus. But these topics lead in a number of distinct directions when pursued with greater care and in greater detail. The central location of these fields in the MathMap is indicative of the utility in other branches of mathematics, particularly throughout analysis. 26: Real functions are those studied in calculus classes; the focus here is on their derivatives and integrals, and general inequalities. This category includes familiar functions such as rational functions. This seems the most appropriate area to receive questions concerning elementary calculus. 28: Measure theory and integration is the study of lengths, surface area, and volumes in general spaces. This is a critical feature of a full development of integration theory; moreover, it provides the basic framework for probability theory. Measure theory is a meeting place between the tame applicability of real functions and the wild possibilities of set theory. This is the setting for fractals. 33: Special functions are just that: specialized functions beyond the familiar trigonometric or exponential functions. The ones studied (hypergeometric functions, orthogonal polynomials, and so on) arise very naturally in areas of analysis, number theory, Lie groups, and combinatorics. Very detailed information is often available.

78. Calculus 1.0 - Software For Windows By Ashay Dharwadker F(x) such that F’(x)=f(x), according to the fundamental theorem of calculus. inflectionof f(x). Compute and draw an approximation to the Taylor series of f(x http://www.geocities.com/dharwadker/calculus.html

Calculus 1.0 Software for Windows 95/98/2000/Me/NT/XP Ashay Dharwadker H-501 Palam Vihar District Gurgaon Haryana 122017 India dharwadker@yahoo.com Try Calculus 1.0 : Size 245 Kb with installer/uninstaller provided. The evaluation version is fully operational. However, it has a timer that limits each session to 2:00 minutes. If you like the software, buy Calculus 1.0. Buy Calculus 1.0 : Buy Calculus 1.0 at a discount price of $40 on a PayPal hosted payment page. The registered version of Calculus 1.0 will be sent to you by email. About Calculus 1.0 : Simtel.net - Calculus 1.0 Math Forum - Single Variable Calculus The Math Works - Calculus Features: Small and fast program designed using visual C++ and openGL with a clean WYSIWYG interface. Here's what you can do with Calculus 1.0: Graph a function y=f(x) with any resolution. Graph the first derivative f’(x). Graph the second derivative f’’(x). Plot and calculate a function value f(c) at x=c. Draw the tangent line and calculate the derivative value f’(c) at x=c. Graph the integral function F(x) such that F’(x)=f(x), according to the fundamental theorem of calculus.

79. Bassein, An Infinite Series Approach To Calculus Bassein, An Infinite series Approach to calculus xvi + 361 pages.Clothbound. 1993. Click on cover picture for more detailed image. http://www.mathpop.com/bookhtms/bassein.htm

Bassein, An Infinite Series Approach to Calculus xvi + 361 pages. Clothbound. 1993 Click on cover picture for more detailed image Click here for selections from the introductory material Return to book list Click here for information about the author Return to home page Contents: PART 1 Making sense of infinity 1 Discrete models 2 Functions and continuity of the line 3 Infinite series 4 Functions and power series PART 2 Differentiation: rate of change 5 Linear and quadratic functions 6 Derivatives of Polynomials 7 Power series and differentiability 8 Differential equations 9 Compositions and quotients of functions 10 Inverse functions 11 Extreme values 12 Graphing 13 Functions of two variables PART 3 Integration 14 Anti-derivatives 15 Areas 16 Techniques of integration 17 Lengths 18 Volumes and surface areas 19 Approximation of integrals 20 Improper integrals 21 Analytic functions 22 Techniques in solving differential equations From the Acknowledgements: Despite the single authorship indicated, this textbook could not have been written without the help of many people. The most important of these are the many students, primarily the women undergraduates at Mills College to whom I have taught calculus during the past 23 years: by balking at the apparently paradoxical definitions and concepts that I accepted so glibly when I was a student, they pushed me to search for the deeper directions of the path along which I wanted to lead them through the mathematics. Over the years, I began to see that when the students did not seem to understand some concept, it was less the result of any inherent difficulty in that concept than of my failure to demonstrate the necessity of introducing the complications.

80. Mickey's Calculus Page file 3 Class 10 Accumulation Functions reviewed, Fundamental Theorem of CalculusClass 11 day Class 29 - Taylor Polynomials Class 30 - Taylor series Class 31 http://galois.oxy.edu/mickey/calculus.html

Mickey's Calculus In Context Materials Calculus in Context is the product a reformed calculus project which was sponsored by the NSF and carried through by faculty at Smith College, Amherst College, Hampshire College, and Mouth Holyoke College. The text is out in hard-cover and is published by W. H. Freeman and Company. We have been using this text for the past five (or so) years at Occidental College. I have now taught calculus using these materials for the past two years. We now have five versions of calculus: Math 108/109 is a two-semester sequence unifying Precalculus and Differential Calculus; Math 110 is a one-semester course in Differential Calculus intended for those who have not had calculus in high school; Math 114 is a one-semester course in Differential Calculus intended for those who have had some calculus in high school but who have not shown adequate proficiency in the subject; Math 118 is a one-semester accelerated course in Differential and Integral Calculus; Math/Physics 112/113 is a two-semester sequence unifying Differential Calculus and Introductory Mechanics taught at a relaxed pace to allow development of precalculus skills (supported by an NSF-CDC grant). CIMAC Homepage What is included below is a collection of materials I have borrowed and developed over the past two years. We have followed the text fairly closely for our Calculus I (Differential) course but wandered from the text a bit for our Calculus II (Integral) course.

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