Calculus 1A: Differentiation

开始时间: 04/22/2022 持续时间: 13 weeks

所在平台: EdxArchive 课程类别: 其他类别 大学或机构: MITx 授课老师： David Jerison Gigliola Staffilani Jen French Stephen Wang

课程主页: https://www.edx.org/archive/calculus-1a-differentiation-mitx-18-01-1x-0

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课程详情

How does the final velocity on a zip line change when the starting point is raised or lowered by a matter of centimeters?  What is the accuracy of a GPS position measurement?  How fast should an airplane travel to minimize fuel consumption? The answers to all of these questions involve the derivative. 

But what is the derivative?  You will learn its mathematical notation, physical meaning, geometric interpretation, and be able to move fluently between these representations of the derivative.  You will discover how to differentiate any function you can think up, and develop a powerful intuition to be able to sketch the graph of many functions.  You will make linear and quadratic approximations of functions to simplify computations and gain intuition for system behavior.  You will learn to maximize and minimize functions to optimize properties like cost, efficiency, energy, and power.  

Learn more about our High School and AP* Exam Preparation Courses

Calculus 1B: Integration

Calculus 1C: Coordinate Systems & Infinite Series

This course was funded in part by the Wertheimer Fund.

*Advanced Placement and AP are registered trademarks of the College Board, which was not involved in the production of, and does not endorse, these offerings.

课程大纲

• How to evaluate limits graphically and numerically
• The physical meaning, and geometric interpretation of the derivative
• To calculate the derivative of any function
• To sketch many functions by hand
• To make linear and quadratic approximations of functions
• To apply derivatives to maximize and minimize functions and find related rates

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