RES.18-005 | Spring 2010 | Undergraduate

Highlights of Calculus

Highlights of Calculus (5 videos)

Max and Min and Second Derivative

At the top and bottom of a curve (Max and Min), the slope is zero. The “second derivative” shows whether the curve is bending down or up. Here is a real-world example of a minimum problem:

What route from home to work takes the shortest time?

Professor Strang’s Calculus textbook (1st edition, 1991) is freely available here.

Subtitles are provided through the generous assistance of Jimmy Ren.

Course Info

Departments
As Taught In
Spring 2010
Learning Resource Types
Lecture Videos
Lecture Notes