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Series: Calculus: Sequences and Series


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About this Series

  • Lessons: 45
  • Total Time: 7h 33m
  • Use: Watch Online & Download
  • Access Period: Unlimited
  • Created At: 07/29/2009
  • Last Updated At: 10/10/2011

In this 45-lesson series, we'll cover sequences and series. We'll start with sequences - what are they, how do you tell if they diverge or converge, what are the different types of sequences, etc. Then, we'll move on to series - what are they, what are the different types, how can one tell if a series converges or diverges, and how can one use various tests for convergence - e.g. the integral test, the direct comparison test, the limit comparison test, the root test, the ratio test, etc.

This series will also cover absolute versus conditional convergence and linear approximation. Once we master linear polynomial approximation, we'll move on to quadratic polynomial approximation and higher-degrees of polynomial approximation. This will lead us to lessons on Taylor Polynomials, Maclaurin Polynomials, the Taylor Series, and the Maclaurin series.

Last, we'll focus on the Power Series, its interval and radius of convergence, and how we can use it to find integrals of functions that we are otherwise unable to integrate.

Taught by Professor Edward Burger, this series comes from a comprehensive Calculus course. This course and others are available from Thinkwell, Inc. The full course can be found at The full course covers limits, derivatives, implicit differentiation, integration or antidifferentiation, L'Hopital'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.

About this Author

2174 lessons

Founded in 1997, Thinkwell has succeeded in creating "next-generation" textbooks that help 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 or visit Thinkwell's Video Lesson Store at

Thinkwell lessons feature a star-studded cast of outstanding university professors: Edward Burger (Pre-Algebra through...

Lessons Included

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~ spoma

im sad i paid for this

~ Romy

excellent job explaining!!! just excellent! the $2 i spent on this has probably been the most worthy investment ive ever made!

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