Calculus 1A: Differentiation

David Jerison, Gigliola Staffilani, Jennifer French, Stephen Wang, MITx

Discover the derivative—what it is, how to compute it, and when to apply it in solving real world problems. Part 1 of 3.

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.

The three modules in this series are being offered as an XSeries on edX. Please visit Single Variable Calculus XSeries Program Page to learn more and to enroll in the modules.

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

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.

What will you learn

  • 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

会期:
  • 2019年8月07日
介绍:
  • 免费:
  • 收费:
  • 证书:
  • MOOC:
  • 视频讲座:
  • 音频讲座:
  • Email-课程:
  • 语言: 英语 Gb

反馈

目前这个课程还没有反馈。您想要留第一个反馈吗?

请注册, 为了写反馈

Show?id=n3eliycplgk&bids=695438
NVIDIA
还有标题«数学与统计»:
Ef5dcb87-b65b-46a6-bb2a-c5a3f7807845-7cb915944555.small Engineering Calculus and Differential Equations
Learn fundamental concepts of single-variable calculus and ordinary differential...
20fedd71-34f4-4084-9fde-49f5d2d224a5-2f0bdb8c45f3.small Microsoft Professional Capstone : Big Data
Validate the skills you learned in the Microsoft Professional Program for Big...
07bd7954-0593-43cb-b0c4-0f18f5c25ee1-a5d93e120a6d.small Microsoft Professional Capstone : Data Science
Solve a real-world data science problem in this capstone project for the Microsoft...
86814127-5973-4549-884e-c8d6ea3514cb-8092d5a682f0.small Microsoft Professional Capstone : Artificial Intelligence
Solve a real-world artificial intelligence problem in this capstone project...
520f308b-128f-4d2c-af91-f646e1e312a8-df630e95f440.small Microsoft Professional Capstone: Data Analysis
Showcase the knowledge you acquired in the Data Analysis MPP in this Capstone...
还有edX:
4178fda1-e8c7-476c-81e8-8a6b453a6a76-569208c21635.small Humanitarian Response to Conflict and Disaster
Learn the principles guiding humanitarian response to modern emergencies, and...
695ff980-b45a-425f-bee6-51bf6e962d90-de2d1a1c22e0.small Video Game Design History
Learn about the evolution of video games from experts at The Strong National...
595aa0b6-077d-439b-a651-95a9ee65c51a-fc966dc2648f.small Video Game Design and Balance
Learn about the video game design process and experiment with effective methods...
Fcd236ea-68ae-46f7-b991-849a41cebc64-0ea84acf6bad.small Video Game Asset Creation and Process
Learn about the tools, processes and platforms that allow video game assets...
A3940ac0-0757-4181-8b9d-5741f8a934fc-87e2da858ee6.small Minds and Machines
An introduction to philosophy of mind, exploring consciousness, reality, AI...

© 2013-2019