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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.

FREE
This course includes
Hours of videos

472 years, 2 months

Units & Quizzes

17

Unlimited Lifetime access
Access on mobile app
Certificate of Completion

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 Currilcum

    • 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