Highlights of Calculus - Videos
by Prof. Gilbert Strang
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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.
|1||VideoGil 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.||7/13/2015||Free||View In iTunes|
|2||VideoBig 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.||7/13/2015||Free||View In iTunes|
|3||VideoBig 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."||7/13/2015||Free||View In iTunes|
|4||VideoMax 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.||7/13/2015||Free||View In iTunes|
|5||VideoThe Exponential Function||Professor Strang explains how the "magic number e" connects to ordinary things like the interest on a bank account.||7/13/2015||Free||View In iTunes|
|6||VideoBig 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.||7/13/2015||Free||View In iTunes|
|7||VideoDerivative of sin x and cos x||Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations.||7/13/2015||Free||View In iTunes|
|8||VideoProduct Rule and Quotient Rule||Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations.||7/13/2015||Free||View In iTunes|
|9||VideoChains f(g(x)) and the Chain Rule||7/13/2015||Free||View In iTunes|
|10||VideoLimits and Continuous Functions||7/13/2015||Free||View In iTunes|
|11||VideoInverse Funtions f ^-1 (y) and the Logarithm x = ln y||7/13/2015||Free||View In iTunes|
|12||VideoDerivatives of ln y and sin ^-1 (y)||7/13/2015||Free||View In iTunes|
|13||VideoGrowth Rates & Log Graphs||7/13/2015||Free||View In iTunes|
|14||VideoLinear Approximation/Newton's Method||7/13/2015||Free||View In iTunes|
|15||VideoPower Series/Euler's Great Formula||7/13/2015||Free||View In iTunes|
|16||VideoDifferential Equations of Motion||7/13/2015||Free||View In iTunes|
|17||VideoDifferential Equations of Growth||7/13/2015||Free||View In iTunes|
|18||VideoSix Functions, Six Rules, and Six Theorems||7/13/2015||Free||View In iTunes|
Great review of Differential Calculus covered in a fraction of the time as a normal 1st semester Calculus course. I'd recommend it chiefly as a thorough refresher of main points to someone coming back to the subject.
the second video doesnt work?
Nice incorporation of real life applications. This makes Calculus seem fun and just an extension of some algebra.
- Category: Calculus
- Language: English
- http://ocw.mit.edu; Creative Commons Attribution-NonCommercial-ShareAlike 3.0; http://ocw.mit.edu/terms/