Highlights of Calculus is a series of short videos that introduces the basic ideas 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. In addition to the videos, there are summary slides and practice problems complete with an audio narration by Professor Strang. You can find these resources to the right of each video. View the complete course at: http://ocw.mit.edu/highlights-of-calculus
Curated by: MIT OpenCourseWare (18 videos)
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? View the complete course at: http://ocw.mit.edu/highlights-of-calculus Chapters 00:00 Outline 00:24 The Second Derivative: The derivative of the derivative 01:43 Examples of Second Derivatives 08:00 Convex and Concave Curves 09:28 Locating the Maximum and Minimum and the Inflection Point 23:40 Application: Driving to Work, Finding the Minimum Time License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu Subtitles are provided through the generous assistance of Jimmy Ren.