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4434Calculus
http://www.merlot.org/merlot/viewMaterial.htm?id=555337
Highlights of Calculus is a series of short videos that introduces the basic ideas of calculus — how it works and why it is important. The intended audience is high school students, college students, or anyone who might need help understanding the subject.In addition to the videos, there are summary slides and practice problems complete with an audio narration by Professor Strang. You can find these resources to the right of each video.This resource is also available on Highlights for High School.About the InstructorProfessor Gilbert Strang is a renowned mathematics professor who has taught at MIT since 1962. Read more about Prof. StrangAcknowledgementsSpecial thanks to Professor J.C. Nave for his help and advice on the development and recording of this program.The video editing was funded by the Lord Foundation of Massachusetts.Calculus 1 (I)
http://www.merlot.org/merlot/viewMaterial.htm?id=731684
This is a free online course offered by the Saylor Foundation.'Calculus can be thought of as the mathematics of CHANGE. Because everything in the world is changing, calculus helps us track those changes. Algebra, by contrast, can be thought of as dealing with a large set of numbers that are inherently CONSTANT. Solving an Algebra problem, like Y = 2X + 5, merely produces a pairing of two predetermined numbers, although an infinite set of pairs. Algebra is even useful in rate problems, such as calculating how the money in your savings account increases because of the interest rate R, such as Y = X0+Rt where t is elapsed time and X0 is the initial deposit. But with compounded interest, now things get complicated for algebra as the rate R is now itself a function of time with Y = X0+ R(t)t. Now we have a rate of change which itself is changing. Calculus “to the rescue,” as Isaac Newton introduced the world to mathematics specifically designed to handle “those things that change.” Calculus is among the most important and useful developments of human thought. Even though it is over 300 years old, it is still considered the beginning and cornerstone of modern mathematics. It is a wonderful, beautiful, and useful set of ideas and techniques. You will see the fundamental ideas of this course over and over again in future courses in mathematics as well as in all of the sciences, including physical, biological, social, economic, and engineering. However, calculus is an intellectual step up from your previous mathematics courses. Many of the ideas you will learn in this course are more carefully defined and have both a functional and a graphical meaning. Some of the algorithms are quite complicated, and in many cases, you will need to make a decision as to which appropriate algorithm to use. Calculus offers a huge variety of applications and many of them will be saved for future courses you might take. This course is divided into four learning sections, or units, plus a reference section, or Appendix. The course begins with a unit that provides a review of algebra specifically designed to help and prepare for the study of calculus. The second unit discusses functions, graphs, limits, and continuity. Understanding “limits” could not be more important as that topic really begins the study of calculus. The third unit will introduce and explain derivatives. With derivatives we are now ready to handle all those “things that change” mentioned above. The fourth unit makes “visual sense” of derivatives by discussing derivatives and graphs. Finally, the fifth unit provides a large collection of reference facts, geometry, and trigonometry that will assist in solving calculus problems long after the course is over.'Calculus for Beginners and Artists
http://www.merlot.org/merlot/viewMaterial.htm?id=274017
This complete course in Calculus for beginners is one of MIT's OpenCourseWare offerings. It includes nearly a dozen Java applets to illustrate some of the concepts covered; there is a corresponding set of Flash applets with accompanying audio.Calculus I
http://www.merlot.org/merlot/viewMaterial.htm?id=602672
This free and open online course in Calculus 1 was produced by the WA State Board for Community & Technical Colleges [http://sbctc.edu].Calculus is the mathematics of CHANGE and almost everything in our world is changing.Calculus is among the most important and useful developments of human thought, and, even though it is over 300 years old, it is still considered the beginning and cornerstone of modern mathematics. It is a wonderful and beautiful and useful set of ideas and techniques You will see the fundamental ideas of this course over and over again in future courses in mathematics, the sciences (physical, biological and social) as well as in economics, engineering and others.But calculus is an intellectual step up from your previous mathematics courses. Many of the ideas are more carefully defined, and they have both a functional and a graphical meaning Some of the algorithms are more complicated, and in many cases you will need to decide on the appropriate algorithm to use. And there is a huge variety of applications, too many to be able to discuss each one in class in detail.This module is part of the Open Course Library, a collection of shareable course materials created for faculty to use in their classes. As part of the Open Course Library this content is licensed under the Creative Commons Attribution License which means that you are free to reuse the course in its entirety, edit it and use a your own modified version, or pick out only pieces which can be incorporated into your own course, as long as you credit the original author for their work.To access all materials for this course you may download either the ANGEL export file or the IMS Common Cartridge file. While the ANGEL file is specific to that system, the Common Cartridge file is compatible with many learning management systems. More information on Common Cartridge is available at http://www.imsglobal.org/cc/.Calculus II
http://www.merlot.org/merlot/viewMaterial.htm?id=602690
This free and open online course in Calculus II was produced by the WA State Board for Community & Technical Colleges [http://sbctc.edu/].Calculus is the mathematics of CHANGE and almost everything in our world is changing. Calculus is among the most important and useful developments of human thought, and, even though it is over 300 years old, it is still considered the beginning and cornerstone of modern mathematics. It is a wonderful and beautiful and useful set of ideas and techniques.You will see the fundamental ideas of this course over and over again in future courses in mathematics, the sciences (physical, biological and social) as well as in economics, engineering and others. But calculus is an intellectual step up from your previous mathematics courses. Many of the ideas are more carefully defined, and they have both a functional and a graphical meaning Some of the algorithms are more complicated, and in many cases you will need to decide on the appropriate algorithm to use. And there is a huge variety of applications, too many to be able to discuss each one in class in detail.This module is part of the Open Course Library, a collection of shareable course materials created for faculty to use in their classes. As part of the Open Course Library this content is licensed under the Creative Commons Attribution License which means that you are free to reuse the course in its entirety, edit it and use a your own modified version, or pick out only pieces which can be incorporated into your own course, as long as you credit the original author for their work.To access all materials for this course you may download either the ANGEL export file or the IMS Common Cartridge file. While the ANGEL file is specific to that system, the Common Cartridge file is compatible with many learning management systems. More information on Common Cartridge is available at http://www.imsglobal.org/cc/ .Calculus III
http://www.merlot.org/merlot/viewMaterial.htm?id=602707
This free and open online course in Calculus III was produced by the WA State Board for Community & Technical Colleges [http://sbctc.edu/].Calculus is the mathematics of CHANGE and almost everything in our world is changing. Calculus is among the most important and useful developments of human thought, and, even though it is over 300 years old, it is still considered the beginning and cornerstone of modern mathematics. It is a wonderful and beautiful and useful set of ideas and techniques You will see the fundamental ideas of this course over and over again in future courses in mathematics, the sciences (physical, biological and social) as well as in economics, engineering and others. But calculus is an intellectual step up from your previous mathematics courses. Many of the ideas are more carefully defined, and they have both a functional and a graphical meaning Some of the algorithms are more complicated, and in many cases you will need to decide on the appropriate algorithm to use. And there is a huge variety of applications, too many to be able to discuss each one in class in detail.This module is part of the Open Course Library, a collection of shareable course materials created for faculty to use in their classes. As part of the Open Course Library this content is licensed under the Creative Commons Attribution License which means that you are free to reuse the course in its entirety, edit it and use a your own modified version, or pick out only pieces which can be incorporated into your own course, as long as you credit the original author for their work.To access all materials for this course you may download either the ANGEL export file or the IMS Common Cartridge file. While the ANGEL file is specific to that system, the Common Cartridge file is compatible with many learning management systems. More information on Common Cartridge is available at http://www.imsglobal.org/cc/ . CSET Online Preparation - Mathematics Subtest III
http://www.merlot.org/merlot/viewMaterial.htm?id=358583
This CSET test preparation course covers the following topics:TrigonometryLimits and ContinuityDerivatives and ApplicationIntegrals and ApplicationsSequences and SeriesThe University of California, Irvine Extension, supported by generous grants from the William and Flora Hewlett Foundation and The Boeing Company, is developing online courses to prepare science and mathematics teachers for the California Subject Examinations for Teachers (CSET).The courses address the urgent need to help teachers prepare for and pass the CSET exams necessary to teach science and mathematics in California Schools.UC Irvine Extension's online test-preparation courses correspond with the 10 CSET science subtests and three CSET mathematics subtests.חדו״א 1 מוגבר - 1: מושגים יסודיים בתורת הפונקציות
http://www.merlot.org/merlot/viewMaterial.htm?id=408370
אוסף ראשון של הרצאות וידאו מתוך קורס חדו״א (חשבון דיפרנציאלי ואינטגרלי) 1 מוגבר.האוסף עוסק בנושא מושגים יסודיים בתורת הפונקציות, ומכיל הרצאות וידאו בנושאים:1. הקדמה2. תכונות יסודיות של פונקציות, רציפות של פונקציות, תחום קיום, דוגמאות3. סימטריה של גרף4. חזרה + תכונות יסודיות של פונקציותלהרצאות מצורפים שקפי המצגות בהן נעשה שימוש בהרצאות.לאוסף ההרצאות מצורף אוסף הנפשות המדגימות את הנושא: " target=״_blank״>http://online.shenkar.ac.il/moodle/mod/resource/view.php?id=9403 חדו״א 1 מוגבר - 2: מבוא לחשבון דיפרנציאלי
http://www.merlot.org/merlot/viewMaterial.htm?id=408390
אוסף שני של הרצאות וידאו מתוך קורס חדו״א (חשבון דיפרנציאלי ואינטגרלי) 1 מוגבר. האוסף עוסק בנושא מבוא לחשבון דיפרנציאלי, ומכיל הרצאות וידאו בנושאים:1. שיטת לייבניץ2. גישת ניוטוןלהרצאות מצורפים שקפי המצגות בהן נעשה שימוש בהרצאות.לאוסף ההרצאות מצורף אוסף הנפשות המדגימות את הנושא: " target=״_blank״>http://online.shenkar.ac.il/moodle/mod/resource/view.php?id=9403 חדו״א 1 מוגבר - 3: תורת הגבולות
http://www.merlot.org/merlot/viewMaterial.htm?id=408395
אוסף חמישי של הרצאות וידאו מתוך קורס חדו״א (חשבון דיפרנציאלי ואינטגרלי) 1 מוגבר.האוסף עוסק בנושא תורת הגבולות, ומכיל הרצאות וידאו בנושאים:1) תכונות של פונקציות, פונקציה יורדת\עולה ,תיאורים גרפיים, מקסימום ומינימום לוקליים.2) שימוש בנגזרת מסדר שני וגבוה יותר, מינימום ומקסימום לוקליים.3) דוגמאות , קמירות וקעירות.4) קמירות וקעירות דוגמאות איכותיות, גרפים, אסימפטוטה אנכית +אופקית, חישוב נקודת פיתול ואסימפטוטה משופרת.5) כיצד מחשבים את אסימפטוטה משופעת +דוגמאות.6) עקמומיות , עקמומיות הפרבולה.7) דוגמא, סיכום שלבים בחקירת פונקציה.8) דוגמא ארוכה של חקירת פונקציה.9) בעיות מקסימום ומינימום, בעיות אופטימיזציה.10) בעיות מקסימום ומינימום - דוגמאות.11) בעיות מקסימום ומינימום - דוגמאות נוספות.12) בעיות מקסימום ומינימום - המשך הדוגמאות הנוספות.13) בעיות מקסימום ומינימום - דוגמאות נוספות ודרכים לפתרון, תרגיל מחשבה, פתרון גרפי, פתרון מקורב של משוואות - הקדמה.14) פתרון מקורב של משוואות- הסברים גרפיים ודוגמא.15) שאלות הקשורות בקירוב - מספר אפסים, נקודות נוספות, דוגמאות ופתרונות נוספים למשוואה.להרצאות מצורפים שקפי המצגות בהן נעשה שימוש בהרצאות.