Online Course
Calculus: Single Variable Part 2 - Differentiation
University of Pennsylvania via Coursera
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Overview
Class Central Tips
In this second part--part two of five--we cover derivatives, differentiation rules, linearization, higher derivatives, optimization, differentials, and differentiation operators.
Syllabus
-Think derivatives mean "slopes"? Not anymore... In this module, we will reconsider what a derivative is and means in terms of the asymptotic (or big-O) notation from the previous chapter. This will give us a new language for describing and understanding rates of change and the rules that govern them.
Putting Derivatives to Work
-Why exactly are derivatives so central to calculus? In part, it is because they are so ubiquitously useful! In this module, we will recall a few core applications of derivatives. In so doing, we'll see exactly how having an understanding of the asymptotics assists in building applications of the derivative.
Differentials and Operators
-There is much more to derivatives than simply their computation and applications. So much of how they arise is calculus is in the mysterious guise of *differentials*. These arise from implicit differentiation, which in turn reveals a deeper level of understanding of what differentiation means.
Taught by
Robert Ghrist
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Reviews
5.0 rating, based on 5 reviews
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we like the chapter of Calculus of Single Variable , single variable is independent variable which conceptual and application oriented
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Ahmed Elashry completed this course.
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Lesley Lai completed this course.
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Anestis Kotidis completed this course.
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Mark Oloughlin completed this course.