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Highlights of Calculus (Res.18-005, MIT OCW). Instructor: Professor Gilbert Strang. Highlights of Calculus is a series of short videos that introduces the basics of calculus - how it works and why it is important.

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Description

The intended audience is high school students, college students, or anyone who might need help understanding the subject. The series is divided into three sections: 1) Introduction - Why Professor Gilbert Strang created these videos, 2) Highlights of Calculus - Five videos reviewing the key topics and ideas of calculus, Applications to real-life situations and problems, and 3) Derivatives - Twelve videos focused on differential calculus, More applications to real-life situations and problems. (from ocw.mit.edu)

https://www.youtube.com/watch?v=X9t-u87df3o&ab_channel=MITOpenCourseWare

Course content

    • Lecture 01 – Big Picture of Calculus Unlimited
    • Lecture 02 – Big Picture: Derivatives Unlimited
    • Lecture 03 – Max and Min and Second Derivative Unlimited
    • Lecture 04 – The Exponential Function Unlimited
    • Lecture 05 – Big Picture: Integrals Unlimited
    • Lecture 06 – Derivative of sin x and cos x Unlimited
    • Lecture 07 – Product Rule and Quotient Rule Unlimited
    • Lecture 08 – Chains f(g(x)) and the Chain Rule Unlimited
    • Lecture 09 – Limits and Continuous Functions Unlimited
    • Lecture 10 – Inverse Functions f-1(y) and the Logarithm x = ln y Unlimited
    • Lecture 11 – Derivatives of ln y and sin-1(y) Unlimited
    • Lecture 12 – Growth Rate and Log Graphs Unlimited
    • Lecture 13 – Linear Approximation/ Newton’s Method Unlimited
    • Lecture 14 – Power Series/ Euler’s Great Formula Unlimited
    • Lecture 15 – Differential Equations of Motion Unlimited
    • Lecture 16 – Differential Equations of Growth Unlimited
    • Lecture 17 – Six Functions, Six Rules, and Six Theorems Unlimited

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