Highlights of Calculus - Videos

Highlights of Calculus - Videos

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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 impo…

Prof. Gilbert Strang


    • Jul 13, 2015 LATEST EPISODE
    • infrequent NEW EPISODES
    • 32m AVG DURATION
    • 18 EPISODES


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    Latest episodes from Highlights of Calculus - Videos

    Six Functions, Six Rules, and Six Theorems

    Play Episode Listen Later Jul 13, 2015 38:05


    Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations.

    Differential Equations of Motion

    Play Episode Listen Later Jul 13, 2015 32:13


    Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations.

    Power Series/Euler's Great Formula

    Play Episode Listen Later Jul 13, 2015 30:49


    Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations.

    Linear Approximation/Newton's Method

    Play Episode Listen Later Jul 13, 2015 31:41


    Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations.

    Derivatives of ln y and sin ^-1 (y)

    Play Episode Listen Later Jul 13, 2015 25:50


    Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations.

    Differential Equations of Growth

    Play Episode Listen Later Jul 13, 2015 34:20


    Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations.

    Growth Rates & Log Graphs

    Play Episode Listen Later Jul 13, 2015 32:59


    Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations.

    Inverse Funtions f ^-1 (y) and the Logarithm x = ln y

    Play Episode Listen Later Jul 13, 2015 34:10


    Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations.

    Product Rule and Quotient Rule

    Play Episode Listen Later Jul 13, 2015 36:14


    Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations.

    Chains f(g(x)) and the Chain Rule

    Play Episode Listen Later Jul 13, 2015 35:20


    Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations.

    Limits and Continuous Functions

    Play Episode Listen Later Jul 13, 2015 36:26


    Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations.

    Derivative of sin x and cos x

    Play Episode Listen Later Jul 13, 2015 34:38


    Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations.

    The Exponential Function

    Play Episode Listen Later Jul 13, 2015 38:54


    Professor Strang explains how the "magic number e" connects to ordinary things like the interest on a bank account.

    Big Picture of Calculus

    Play Episode Listen Later Jul 13, 2015 37:46


    Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations.

    Big Picture: Integrals

    Play Episode Listen Later Jul 13, 2015 37:21


    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.

    Max and Min and Second Derivative

    Play Episode Listen Later Jul 13, 2015 38:30


    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.

    Big Picture: Derivatives

    Play Episode Listen Later Jul 13, 2015 30:04


    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."

    Gil Strang's Introduction to Highlights of Calculus

    Play Episode Listen Later Jul 13, 2015 4:57


    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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