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About this Lesson
 Type: Video Tutorial
 Length: 1:23
 Media: Video/mp4
 Use: Watch Online & Download
 Access Period: Unrestricted
 Download: MP4 (iPod compatible)
 Size: 14 MB
 Posted: 06/26/2009
This lesson is part of the following series:
College Algebra: Full Course (258 lessons, $198.00)
College Algebra: Further Topics (12 lessons, $17.82)
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 athttp://www.thinkwell.com/student/product/collegealgebra. The full course covers equations and inequalities, relations and functions, polynomial and rational functions, exponential and logarithmic functions, systems of equations, conic sections and a variety of other AP algebra, advanced algebra and Algebra II topics.
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 Connecticut College.
He has also taught at UTAustin and the University of Colorado at Boulder, and he served as a fellow at the University of Waterloo in Canada and at Macquarie University in Australia. Prof. Burger has won many awards, including the 2001 Haimo Award for Distinguished Teaching of Mathematics, the 2004 Chauvenet Prize, and the 2006 Lester R. Ford Award, all from the Mathematical Association of America. In 2006, Reader's Digest named him in the "100 Best of America".
Prof. Burger is the author of over 50 articles, videos, and books, including the trade book, Coincidences, Chaos, and All That Math Jazz: Making Light of Weighty Ideas and of the textbook The Heart of Mathematics: An Invitation to Effective Thinking. He also speaks frequently to professional and public audiences, referees professional journals, and publishes articles in leading math journals, including The Journal of Number Theory and American Mathematical Monthly. His areas of specialty include number theory, Diophantine approximation, padic analysis, the geometry of numbers, and the theory of continued fractions.
Prof. Burger's unique sense of humor and his teaching expertise combine to make him the ideal presenter of Thinkwell's entertaining and informative video lectures.
About this Author
 Thinkwell
 2174 lessons
 Joined:
11/13/2008
Founded in 1997, Thinkwell has succeeded in creating "nextgeneration" 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 technologybased 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 starstudded cast of outstanding university professors: Edward Burger (PreAlgebra through...
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I hope this course went well for you. I enjoyed sort of interacting and sort of talking to you about these things. The important thing to remember is that a lot of these techniques are founded in some ideas. The thing to do is to try to understand those ideas first and not try to memorize these basic facts and things and formulas, but as often as you can try to really understand the ideas behind it. As you go into your last days or your last exams or whatever, try to remember that. Think about the ideas rather than just sort of memorizing a boatload of facts because this course, really, as you can see, was made up of just a ton of different of facts that we sort of put together. But there were some relationships that sort of tied everything together, and it would be fantastic and really powerful and to your advantage if you could sort of grab on to those basic themes and use those as sort of the overarching ideas that bring these things together. Pull this stuff together and make it your own.
Anyway, I hope that you enjoyed some of these things. I hope you enjoyed everything, in fact. I enjoyed it, and I hope that you will be able to take some of these ideas with you, whether you explicitly use them in your daily lives. There's a pattern of thought, there's a way of thinking in mathematics that really is powerful and can transform what would be sort of qualitative and fuzzy thinking into sort of power thinking. So, again, congratulations, and good luck on the final, and I hope to see you in calculus. Bye.
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