Highlights of Calculus  Videos MIT

 Education

Highlights of Calculus is a series of videos that introduce the fundamental concepts of calculus to both high school and college students. Renowned mathematics professor, Gilbert Strang, will guide students through a number of calculus topics to help them understand why calculus is relevant and important to understand.

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Gil Strang's Introduction to Highlights of Calculus
Gil Strang gives an overview of his video series Calculus for MIT's Highlights for High School program. Designed to give an easier introduction to calculus.

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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 situations.

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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 Strang is finding the "rate of change" and the "slope of a curve" and the "derivative of a function."

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Max and Min and Second Derivative
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.

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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.

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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 derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.
Customer Reviews
Thank you so much.
I’m 73, and it’s been a while since I took my semesters in college. I wish I learned the underpinnings of what makes calculus so alive. Still, my professors were great but they had to cover too much material in too short of time and it was hard to get the sweet essence of calculus doing derivatives and integrations up the yin yang. Anyway, bravo, professor Strang. Thank you so much for resuscitating my math brain.
Excellent
This is a wonderful master class for those who have already learned calculus elsewhere, however long it’s been.
Thank you, Professor Strang!
I wish
I could have watched these when I was still in college. Maybe I would have passed.