Highlights of Calculus
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/OcwWeb/resources/RES-18-005Spring-2010/ResourceHome/index.htm License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
Added over 5 years ago | 00:04:56 | 11390 views |
Highlights of Calculus is a series of videos that introduce the fundamental concepts of calculus to both high school and college students. Renowned mathematics professor, Gilbert Strang, will guide students through a number of calculus t...
Added over 5 years ago | 00:37:46 | 15778 views |
Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations, such as: * driving a car * climbing a mountain * growing to ...
Added over 5 years ago | 00:30:04 | 6825 views |
Calculus finds the relationship between the distance traveled and the speed — easy for constant speed, not so easy for changing speed. Professor Strang is finding the "rate of change" and the "slope of a curve" and the "derivative of a f...
Added over 5 years ago | 00:38:30 | 5505 views |
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...
Added over 5 years ago | 00:38:53 | 4692 views |
Professor Strang explains how the "magic number e" connects to ordinary things like the interest on a bank account. The graph of y = e^x has the special property that its slope equals its height (it goes up "exponentially fast"!). This i...
- Calculus for Highlights (ocw.mit.edu/OcwWeb/resources/RES-18-005Spring-2010/ResourceHome/index.htm)