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 12 - Growth Rate and Log Graphs|
It is good to know how fast different functions grow. Professor Strang puts them in order from slow to fast: logarithm of x, powers of x, exponential of x, x factorial, x to the x power. What is even faster? And it is good to know how graphs can show the key numbers in the growth rate of a function. A LOG-LOG graph plots log y against log x. If y = A xn, then log y = log A + n log x == LINE WITH SLOPE n.
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