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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


Collection videos

Introduction: Highlights of Calculus

Introduction: Highlights of Calculus

Added over 6 years ago | 00:04:56 | 11816 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...

Big Picture: Integrals

Big Picture: Integrals

Added over 6 years ago | 00:37:21 | 12056 views |

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 t...

Big Picture of Calculus

Big Picture of Calculus

Added over 6 years ago | 00:37:46 | 16334 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 ...

Big Picture: Derivatives

Big Picture: Derivatives

Added over 6 years ago | 00:30:04 | 7197 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...

Max and Min and Second Derivative

Max and Min and Second Derivative

Added over 6 years ago | 00:38:30 | 5796 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...

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Collection details

Category
Education
Language
English
Location
MIT
Website
Calculus for Highlights (ocw.mit.edu/OcwWeb/resources/RES-18-005Spring-2010/ResourceHome/index.htm)