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)
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this "integral" is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance. I know the speed at each moment of my trip, so how far did I go? View the complete course at: http://ocw.mit.edu/highlights-of-calculus Chapters 00:00 Outline 00:24 Function (2) is the Derivative of Function (1); Function (1) is the Integral of Function (2) 01:53 Plan A: Recognize Function (2) as a known slope 10:35 Example: Finding Function (1) using Algebra 13:20 Example: Finding Function (1) using Calculus 17:48 Plan B: Integral = Function (1) = Area under graph (2) 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.