Highlights of Calculus
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. 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)
| Lecture 17 - Six Functions, Six Rules, and Six Theorems |
Five of the 6 functions are old, the new one is a STEP function. Slope = DELTA function. The 6 rules cover f + g, f times g, f divided by g, chains f(g(x)), inverse of f, and then L'HOPITAL for 0/0. The 6 theorems include the Fundamental Theorem of Calculus for INTEGRAL OF DERIVATIVE OF f(x).
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