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Big Picture: Integrals
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this integral is the opposite of finding the d...
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The Exponential Function
Professor Strang explains how the magic number e connects to ordinary things like the interest on a bank account. The graph of y = e^x has the spec...
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Max and Min and Second Derivatives
At the top and bottom of a curve (Max and Min), the slope is zero. The second derivative shows whether the curve is bending down or up. Here is a ...
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Big Picture: Derivatives
Calculus finds the relationship between the distance traveled and the speed — easy for constant speed, not so easy for changing speed. Professor S...
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Big Picture of Calculus
Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life...
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Lecture 5 - Curl, Vector Calculus
This lecture gently introduces the idea of a the "curl" of a vector field. The curl is one of the basic operations of vector calc...
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