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Series: Calculus: Linear Approximation

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About this Series

  • Lessons: 3
  • Total Time: 0h 55m
  • Use: Watch Online & Download
  • Access Period: Unlimited
  • Created At: 07/29/2009
  • Last Updated At: 07/20/2010

In this three-lesson series, we'll cover linear approximation, Newton's method, highe-order derivatives, and using the tangent line in linear approximation. A higher-order derivative is the derivative of a derivative. You can take as many higher-order derivatives as you like. In fact, some applications of calculus will require you to take an infinite number of higher-order derivatives.

The line tangent to a curve can be used to approximate values of the function. The tangent line is a good approximation close to the point of tangency because the tangent line behaves like the curve near that point and because lines are very easy to evaluate. Using a line to estimate the value of a more complicated function is called a linear approximation. The process of finding a linear approximation can be described by a general formula, the tangent line approximation formula. Newton's method iterates the approximation process and thereby finds successively better approximations for the solution to a function.

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 http://www.thinkwell.com/student/product/calculus. 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

Thinkwell
Thinkwell
2174 lessons
Joined:
11/13/2008

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 www.thinkwell.com or visit Thinkwell's Video Lesson Store at http://thinkwell.mindbites.com/.

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

Lessons Included

None of the lesson in this series have been reviewed.

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