Calculus: Fundamental Theorem of Calculus, Part I

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About this Lesson

  • Views: 301
  • Time: 11:53
  • Media: Video/mp4
  • Posted: 11/18/2008

This lesson is part of a series: Calculus

In this lesson, you will learn how the derivative and the integral are related. This is the first part of the fundamental theorem of calculus; it asserts that differentiation is 'undone' by integration. It also means that the rate of change of the area under the graph of a function with respect to x is equal to the value of the original function at x. In addition to explaining the theorem and the implications of it, Professor Burger will also walk you through a proof of sorts that explains why the theorem is true.

This lesson explains the first half of the Fundamental Theorem of Calculus. To see the second half of Professor Burger's explanation, check out: http://www.mindbites.com/lesson/844

Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, College Algebra. This course and others are available from Thinkwell, Inc. The full course can be found at http://www.thinkwell.com/student/product/calculus. The full course covers limits, derivatives, implicit differentiation, integration or antidifferentiation, L'Hôpital's Rule, functions and their inverses, improper integrals, integral calculus, differential calculus, sequences, series, differential equations, parametric equations, polar coordinates, vector calculus and a variety of other AP Calculus, College Calculus and Calculus II topics.

 


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Thinkwell Thinkwell
122 lessons
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11/13/2008

Founded in 1997, Thinkwell has succeeded in creating a "next-generation" textbook, one that helps students learn and teachers teach. Capitalizing on the power of new technology, Thinkwell products prepare students more effectively for their coursework than any printed textbook can. Thinkwell has assembled a group of talented industry professionals who have shaped the company into the leading provider of technology-based textbooks. For more information about Thinkwell, please visit www.thinkwell.com.

Edward Burger, Professor of Mathematics at Williams College, earned his Ph.D. at the University of Texas at Austin, having graduated summa cum laude with distinction in mathematics from...

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Nachan rated 5 out of 5 Saved my life! 11/19/2008 ~ nachan

Thanks so much Prof Berger for helping me pass Calc 1 in school. This is just as thorough as an after school tutor but so much more affordable. I will be taking more courses soon!


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Nachan rated 5 out of 5 Saved my life! 11/19/2008 ~ nachan

Thanks so much Prof Berger for helping me pass Calc 1 in school. This is just as thorough as an after school tutor but so much more affordable. I will be taking more courses soon!


View all learner reviews »