81. Get Ready For Calculus Worksheet book calculus By and For Young People Worksheets She wrote that this series goes to 1/2. Don and Jonathan, age 7, discuss his work on 2/5 http://www.shout.net/~mathman/html/calc.html

1. Book: "Calculus By and For Young People (ages 7, yes 7 and up)" ISBN 096216741x; 179pp; 3 3/4x5" The following is the review of this book by Phylis and Philip Morrison in the Dec. '88 issue of Scientific American "Trying to divide six cookies fairly among seven people? Third-grader Brad had the right idea: cut each one in half, share out as many as you can; again halve the pieces not shared until there are pieces enough to share, and continue. He quit at sixteenths, amidst lots of crumbs. But he could see that everyone got 1/2 +1/4 + 0/8 + 1/16 + 1/32 + 0/64 . . . of a cookie. The sum is not hard to express in terms of a more familiar series, once you notice that the missing portion of unity is itself a geometric series for 1/[1 - (1/8)]. Iteration is more powerful and more intuitive than dividing a round cookie into seven equal parts. This spiral-bound book the size of your hand reports with infectious enthusiasm the work of many beginners in one fine teacher's class over the decades, some of them highly gifted kids and some of them grown-ups with no particular mathematical bent. All were on their way to an understanding of slope and integral, natural logarithm and exponential. En route a good many famous problems were encountered, among them the proof of the snail-like divergence of the harmonic series (its first million terms add up to about 13.4, a sum given here to a dozen decimals), the Fibonacci sequence in pineapples and that glorious relation among, e, i, pi, and 1.

82. Calculus Fourier series, and other topics, as examples to which calculus can be important concept introduced in calculus courses is the Taylor series, http://www.du.edu/~jcalvert/math/calculus.htm

The Elements of Calculus Calculus is the foundation of the modern mathematics of physics and engineering Calculus was invented by Newton and Leibnitz at the end of the 17th century. While algebra had been an important addition to mathematics in the immediately preceding centuries, it provided mainly a notational convenience. A very significant convenience, to be sure, but it did not provide much additional power to mathematical investigations. Calculus, however, changed mathematics radically, and possessed great power and range, in practical matters as well as theoretical. Calculus involves a convenient representation of certain limiting processes, which were hinted at in earlier mathematics, but were very difficult to use, and then only in particular problems. In the educational curriculum for science and engineering, calculus forms a bridge between elementary mathematics, such as geometry, algebra and trigonometry, and advanced mathematics, such as differential equations, vector analysis and complex variables. In this position, it has other duties to perform other than simply introducing its elements. To begin the study of calculus, concepts of function, continuous function and limits are necessary, as well as some idea of the nature of mathematical proof. During the course, the student also should be introduced to the theory of curves, infinite series, power series, elementary functions, convergence, Fourier series, and other topics, as examples to which calculus can be applied. Finally, the course should foster manipulative skills, and even introduce numerical methods, such as differencing and quadrature. In all this, the central idea of calculus tends to be obscured.

83. Math 1910: Calculus I This course is a study of integral calculus, parametric equations and series. Compared with Math 1910, this course offers a more indepth concentration into http://www.tn.regentsdegrees.org/courses/syllabi/math1920.htm

Calculus II MATH 1920 4 Credit Hours Course Information Course Description: This course is a study of integral calculus, parametric equations and series. Compared with Math 1910, this course offers a more indepth concentration into integration techniques (anti-derivatives, definite integrals, and their applications). Topics covered will include inverse functions, techniques and applications of integration, an introduction into the modeling and techniques for solving simple first order differential equations, the study of parametric equations as well as the polar coordinate system and its use, conic sections, sequences and series to include conditions and tests for convergence. Course Objectives: Goals General: Above the topical material covered in this course, the student will enhance their mathematical problem solving abilities: Technical reading/comprehension, Extracting useful information from the content of a problem's description

84. Calculus II (Summer '04) beyond those learned in calculus I, and on learning about sequences and series. Power series (11.811.10) power series, interval and radius of http://www.math.columbia.edu/~laza/teaching/calc2s.htm

Calculus II Mathematics S1102, Section 2, Summer 2004 July 6 - August 12 Time and Place : MTWR 1:00pm-2:35pm; 417 Mathematics Building Instructor : Radu Laza Office : Math 408 Email : laza@math.columbia.edu Class Homepage : http://www.math.columbia.edu/~laza/teaching/calc2s.htm Office Hours: Mon 12-1, Math 405 TA: Donovan McFeron ( dmcferon@math.columbia.edu Quick Links Schedule Today's Schedule (due Aug 10) Info about Final (due Aug 3) Course Description Textbook : Calculus Early Transcendentals, Fifth Edition, by James Stewart Calculus IIA is the second half of an introductory course on differential and integral calculus. The course focuses on techniques of integration, going beyond those learned in Calculus I, and on learning about sequences and series. We will cover chapters 7, 8, 9, 11 leaving out some sections. The course is divided into three modules: Techniques and Applications of Integration (Ch. 7,8 + quick review Ch. 5,6) Infinite Sequences and Series (Ch. 11) Differential Equations (Ch. 9) Announcements Welcome!

85. Calculus II (Summer '03) The course focuses on techniques of integration, going beyond those learned in calculus IA, and on learning about sequences and series. http://www.math.columbia.edu/~laza/teaching/summer03/calc2.htm

Calculus II Mathematics S1102Q, Section 3, Summer 2003 July 7 - August 15 Time and Place : MTWR 4:30pm-6:05pm, room 520 Math. Instructor : Radu Laza Office : 206 Mathematics Office hours: Tue 6-7, Math 406 (Math help room) Email : laza@math.columbia.edu Class Homepage : http://www.math.columbia.edu/~laza/teaching/calc2.htm Quick Links Schedule (includes the homework problems) Practice Exam (due Aug 12) Course Description Textbook : Calculus Early Transcendentals, Fifth Edition, by James Stewart Calculus IIA is the second half of an introductory course on differential and integral calculus. The course focuses on techniques of integration, going beyond those learned in Calculus IA, and on learning about sequences and series. We will cover chapters 7, 8, 9, 11 leaving out some sections. The course is divided into three modules: Techniques and Applications of Integration (Ch. 7,8 + quick review Ch. 5,6) Infinite Sequences and Series (Ch. 11) Differential Equations (Ch. 9) Announcements Welcome! The FINAL EXAM is on Thursday (14 Aug) in Math 312 , time The Practice Exam is finally online. The real exam will contain about 10 exercises covering techniques of integration (about 50%), applications of integrals (10-20%), series (20%) and Taylor series (10%). The practice exam and the midterms are covering all the necessary material for the final.

86. Cours Descriptions MT1121 calculus page 1. The trigonometric functions are introduced in terms of power series and their relationship to the exponential function explored. http://www.ma.man.ac.uk/DeptWeb/UGCourses/Syllabus/Level1/MT1121.html

Last updated 8 Jul 04 DEPARTMENT of MATHEMATICS University of Manchester Course Description for MT1121 Calculus A core course unit for first year Mathematics Mathematics with another subject and Joint Honours Mathematics students. General Details Credit Rating: Level: Level One Delivery: Semester One Lecturer: Prof. Reg Wood (Telephone 55849, email:reg@ma.man.ac.uk.) General Description The first part of the course unit is concerned with the exponential function, the log function, the hyperbolic functions and their inverses. There follows a review of the basic techniques of differentiation with applications to graph sketching. The trigonometric functions are introduced in terms of power series and their relationship to the exponential function explored. The next major topic is a review of the basic techniques of integration. Towards the end of the course a number of questions about power series are treated more fully and finite Taylor expansions are applied to approximation of numbers. The last chapter contains some miscellaneous applications of calculus to variational problems, max-min problems, lengths of curves, areas and volumes of solids of revolution and the Newton-Raphson method of solving equations. Note . The contribution of this course to the Study Skills course will be an exercise in the use of MATLAB for performing some task in calculus. Aims To raise the standard of basic calculus skills to that required by second semester and intermediate level course units.

87. Skoool.ie :: Exam Centre And it is the option on Further calculus and series that seems to have won The study of Senior Cycle Further calculus and series can be divided into the http://www.skoool.ie/skoool/examcentre_sc.asp?id=719

88. VPUE Area 2 The 50 series is a threequarter sequence of calculus-based physics intended for students in engineering and the natural sciences. Prospective engineering http://www.stanford.edu/dept/undergrad/area2/courses/physicscore.htm

Course Snapshots Chemistry Course Sequence Introductory Computer Science Courses Mathematics Course Sequence Physics Course Sequence ... Physics 19: How Things Work: an Introduction to Physics The Introductory Physics Series The Physics Department offers three entry-level physics courses, the 20 series, the 50 series, and the 60 series. These series are designed for the science and engineering majors that require different levels of physics study. However, all students who have an interest in learning physics are encouraged to take the course that best fits their background. All 20, 50, and 60 series courses are Area 2 courses. The 20 Series Physics 21, Mechanics and Heat, offered autumn Physics 23, Electricity and Optics, offered winter Physics 25, Modern Physics, offered spring The 20 series is a year-long sequence intended for general, premedical, and biological sciences students. This sequence covers most of the basic topics in physics including motion, forces, energy, electricity, magnetism, heat, optics, relativity, and atomic theory. Calculus is an important tool to all physics study, including the 20 series; however problems in the 20 series will not rely extensively on an in-depth knowledge of calculus and much of the calculus will be developed by the professor as needed. So, exposure to calculus is helpful and recommended but not absolutely necessary.

89. Math Courses Infinite series, calculus of vectorvalued functions, functions of several variables and partial derivatives, multiple integrals. http://www.dawsoncollege.qc.ca/departments/preu/math/courses.php

Search WWW Dawson Powered by Prospective Students Current Student Prospective Employees Corporate Visitors ... Phone Directory Quick Links Academic Calendar Bookstore Grades Online Cancelled Classes Library ISEP Parc/Athletics Student Union Reach For The Top! CARS Class Lists Capital Requests DOLRS Dawson Intranet DocuShare Employee Benefits Faculty Schedules Online Forms Help Desk WebCT Teacher Assistance Web Mail Work Requests BACK HOME MATH DEPARTMENT Introduction ... Science Program Math Courses 201-NYA-05 (Science), 201-103-77 Differential and Integral Calculus I Prerequisite: High School Functions or Maths 201-003/004-94 or 201-009-50 Limits and continuity, the derivative and differentiation, applications of the derivative to curve sketching, max/min and related rates problems, anti-differentiation and the indefinite integral. 3 hrs. theory, 2 hrs. lab per week. 201-NYC-05 (Science), 201-105-77 Linear Algebra Prerequisite: High School Functions or Maths 201-003/004-94 or 201-009-50 Systems of linear equations and elementary operations, matrices and determinants, vectors, lines and planes. 3 hrs. theory, 2 hrs. lab per week. 201-NYB-05 (Science), 201-203-77

90. Mathematics - 2005-2006 University Of Guelph Undergraduate Calendar Conformal mappings. Elementary functions. CauchyGoursat theorem. The Taylor and Laurent series. calculus of residues with emphasis on applications. http://www.uoguelph.ca/undergrad_calendar/c12/c12math.shtml

2005-2006 University of Guelph Undergraduate Calendar Indexes Calendar TOC XII. Course Descriptions XII. Course Descriptions PDF Mathematics Department of Mathematics and Statistics. Suggested initial course sequence: For students with 4U or OAC Calculus and expecting to pursue further studies in mathematics or the physical sciences: MATH*1200 MATH*1210 For students interested in applications to the biological sciences: MATH*1080 MATH*2080 For students not expecting to pursue further studies in mathematics: MATH*1000 , one STAT*XXXX course MATH*1000 Introductory Calculus F,W (3-1) [0.50] A brief introduction to analytical geometry. The differential and integral calculus for algebraic, logarithmic, exponential and trigonometric functions, with applications. (Also offered through distance education format.) Prerequisite(s): 1 4U credit in mathematics or 1 OAC credit in mathematics Restriction(s): IPS*1110 MATH*1080 MATH*1200 . Not available to students registered in the B.Sc. and B.Sc. (Agr.) programs. MATH*1050 Introduction to Mathematical Modeling W (3-1) [0.50] The application of non-calculus techniques in modeling "real world" problems in business, psychology, sociology, political science and ecology. The mathematical topics introduced include graphs and directed graphs, linear programming, matrices, probability, games and decisions, and difference equations. Mathematics majors may not take this course for credit.

91. 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.

92. Bryn Mawr College Math Department: Courses Analytic functions, Cauchy’s theorem, Laurent series, calculus of residues, conformal mappings, Moebius transformations, infinite products, entire functions http://www.brynmawr.edu/math/courses.shtml

Courses Bryn Mawr College offers a wide variety of mathematics courses at both the undergraduate and graduate level. Courses Graduate Courses Fall 2005 Course Listings Spring 2006 Course Listings ... + Spring 2006 Course Home pages Additional courses are available at Haverford and Swarthmore colleges: Haverford College: Courses Swarthmore College: Courses + Tri-College Course Listing Courses 001. Fundamentals of Mathematics Basic techniques of algebra, analytic geometry, graphing and trigonometry for students who need to improve these skills before entering other courses that use them, both inside and outside mathematics. Placement in this course is by advice of the department and permission of the instructor. (staff) 101, 102. Calculus with Analytic Geometry Differentiation and integration of algebraic and elementary transcendental functions, with the necessary elements of analytic geometry and trigonometry; the fundamental theorem, its role in theory and applications, methods of integration, applications of the definite integral, infinite series. May include a computer lab component. Prerequisite: math readiness or permission of the instructor. (staff, Division II or Quantitative Skills) 104. Elements of Probability and Statistics

93. AP: Calculus BC The AP calculus Development Committee understands that new calculators and computers, FX7300 series, HP 39 series *, TI-83 Plus Silver * http://www.collegeboard.com/student/testing/ap/calculus_bc/calc.html?calcbc

94. 2005-2006 Faculty Of Arts And Science Calendar Multivariable calculus 78L. Sequences and series. Uniform convergence. Convergence of integrals. Elements of topology in R2 and R3. Differential and http://www.artsandscience.utoronto.ca/ofr/calendar/crs_mat.htm

Applied Mathematics Courses See page 30 for Key to Course Descriptions. For Distribution Requirement purposes, all APM courses are classified as Science courses (see page 22). Course Winter Timetable Applications of Linear Programming 39L Introduction to linear programming including a rapid review of linear algebra (row reduction, linear independence), the simplex method, the duality theorem, complementary slackness, and the dual simplex method. A selection of the following topics are covered: the revised simplex method, sensitivity analysis, integer programming, the transportation algorithm. Prerequisite (Note: no waivers of Prerequisite s will be granted) Differential Equations 39L order, separation of variables, integral equations, Fourier transform, stationary phase method. Prerequisite Partial Differential Equations 78L equations. Boundary problems in plane and space. General eigenvalue problems; minimum principle for eigenvalues. Distributions and Fourier transforms. Laplace transforms. Differential equations of physics (electromagnetism, fluids, acoustic waves, scattering). Introduction to nonlinear equations (shock waves, solitary waves).

95. Calculus. Infinite Sequences And Series - Alex Svirin - Adobe Reader EBooks calculus. Infinite Sequences and series Alex Svirin - Adobe Reader eBook - True printing, multiple viewing options, advanced navigation, search, http://www.ebookmall.com/ebook/78135-ebook.htm

Home eBook Categories Mathematics Adobe Reader eBooks Calculus. Infinite Sequences and Series Adobe Reader eBooks By: Alex Svirin Price: Format: Adobe Reader eBooks Availability: Download Now Platforms: Windows Computers, Mac, Linux, more... Features: True printing, multiple viewing options, advanced navigation, search, and bookmarks. Get eBook! Free eBooks With Every Order! eBook Summary: This ebook is intended for all students who study calculus, and considers 150 typical problems on infinite sequences and series, fully solved step-by-step. Topics include: Infinite Sequences, Geometric Series, Infinite Series, Comparison Tests, Integral Test, Ratio and Root Tests, Absolute and Conditional Convergence of Alternating Series, Power Series, Differentiation and Integration of Power Series, Taylor and Maclaurin Series. Each of the 10 chapters includes appropriate definitions and formulas followed by solved problems listed in order of inreasing difficulty. Studying and solving these problems helps you cut study time, increase problem-solving skills and achieve your personal best on calculus exams! About the Author: Alex Svirin, Associate Professor at Audentes University, Tallinn, Estonia.

96. The Complete Idiot's Guide To Calculus - W. Michael Kelley - Penguin Group (USA) Find The Complete Idiot s Guide to calculus by W. Michael Kelley and other CIG Math books online Part 5 Differential Equations, Sequences, and series http://us.penguingroup.com/nf/Book/BookDisplay/0,,0_0028643658,00.html

SYM=GetSymbol('SYN'); my cart home browse books featured books ... Books by W. Michael Kelley The Complete Idiot's Guide to Calculus Complete Idiot's Guides W. Michael Kelley - Author add to cart view cart Book: Paperback Part 1: The Roots of Calculus 1. What Is Calculus, Anyway? What's the Purpose of Calculus? Finding the Slopes of Curves Calculating the Area of Bizarre Shapes Justifying Old Formulas Calculate Complicated X-Intercepts Visualizing Graphs Finding the Average Value of a Function Calculating Optimal Values Who's Responsible for This? Ancient Influences Newton vs. Leibniz Will I Ever Learn This? 2. Polish Up Your Algebra Skills Walk the Line: Linear Equations Common Forms of Linear Equations Calculating Slope You've Got the Power: Exponential Rules Breaking Up Is Hard to Do: Factoring Polynomials Greatest Common Factors Special Factoring Patterns Solving Quadratic Equations Method One: Factoring Method Two: Completing the Square Method Three: The Quadratic Formula 3. Equations, Relations, and Functions, Oh My! What Makes a Function Tick?

97. Advanced Calculus And Analysis MA1002 Advanced calculus and Analysis MA1002. Power series and the Radius of Convergence Representing Functions by Power series Other Power series 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

98. Why Calculus? The goal of the course is to show why calculus has served as the principal Newton s algorithm FTC and use of infinite series. Binomial series. 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.

99. Calculus series of links to other calculus sites; Integrator The problems are presented as a series of letters to the calculus students, a lot more fun then http://www.amatyc.org/OnlineResource/Calculus.html

Online Resource Calculus The American Mathematical Association of Two-Year Colleges Funding for the creation of this resource was provided by the AMATYC Foundation. The site is maintained by Lance Hemlow. Original research by Karen Pagel. Technical expertise by Jim Roznowski. Back to Topics Table With the changing nature of the Internet, these sites may no longer exist or they may exist in different formats. To suggest new sites for inclusion, to report bad links, or to comment on any of the listings in this resource, please use the feedback form sub-topics: History of Calculus Pre-Calculus Reform Calculus Real World Problems ... Alvirne High School Problem of the Week Site The intention of this site is to prepare high school students for the AP calculus exam. To help there are problems of the week and teacher and student calculus resources. This site is looking for more problems - especially calculator problems. AB calculus Advanced Placement Program of the College Board with 200 free response questions Applications of Derivatives Detailed presentation of the applications of derivatives in the following areas: Rates of Change, Approximation , Optimization , Graphing, Tangent Lines Parametric Equations Polar Coordinates

100. Mathstore | Maths Caa Series: Nov 2002 Page Guide Home Articles mathscaa-series . Calmaeth, automated diagnostics in calculus, Statistics and Linear Algebra - some comments by an outsider http://ltsn.mathstore.ac.uk/articles/maths-caa-series/nov2002/index.shtml

Maths CAA Series: November 2002 Maths view Home About us Contact us A-Z Contents ... The Higher Education Academy Page Guide: Home Articles maths-caa-series Calmaeth, automated diagnostics in Calculus, Statistics and Linear Algebra - some comments by an outsider by Dr Nathan Scott, The University of Western Australia Reporting on the work of Dr Kevin Judd, also of UWA email: nscott@mech.uwa.edu.au Index to article Abstract 1. Introduction 2. Guest Account and sample screens 3. Improvement Path ... 5. Conclusion Abstract In 1995 Prof. Brian Stone of UWA and I had a simple network-based tutorial system set up for Engineering Dynamics. The facility used by the students was a laboratory of 128 Macintosh LC computers which was jointly owned with the Mathematics Department. As a result the Mathematics Department saw what we were doing and thought perhaps it might work for first-year Calculus. Kevin was asked to generate some problem sets for Calculus. Being a true mathematician Kevin was not satisfied with the crude approach used in our problem sets, and instead he began to think more generally about how to offer a student diagnostic feedback for errors. 1. Introduction

Page 5     81-100 of 109    Back | 1  | 2  | 3  | 4  | 5  | 6  | Next 20