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微积分1A：微分Calculus 1A: Differentiation |
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| 课程网址: | https://openlearninglibrary.mit.edu/courses/course-v1:MITx+18.01.... |
| 主讲教师: | David Jerison; Gigliola Staffilani; Jennifer French; Stephen Wang |
| 开课单位: | 麻省理工学院 |
| 开课时间: | 2020-03-29 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | 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. This course, in combination with Part 1, covers the AP* Calculus AB curriculum. This course, in combination with Parts 1 and 3, covers the AP* Calculus BC curriculum. Learn more about our High School and AP* Exam Preparation Courses This course was funded in part by the Wertheimer Fund. |
| 关 键 词: | 评估极限; 计算导数; 中间值定理 |
| 课程来源: | 麻省理工学院公开课 |
| 数据采集: | 2022-04-08：cyh |
| 最后编审: | 2022-04-08：cyh |
| 阅读次数: | 44 |