Big Picture: Integrals

Instructor:
Prof. Gilbert Strang

Resources:
Summary with practice problems
(PDF with audio - 2.3MB)
(MP3 - 2.3MB)

Practice problems
(PDF no audio)

Free downloads:
Internet Archive (MP4 - 167MB)
iTunes U (MP4 - 81MB)

Professor Strang's Calculus textbook (1st edition, 1991) is freely available here.

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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 derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.

I know the speed at each moment of my trip, so how far did I go?