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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)
Course content
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- 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
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- 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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