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

Dates:
  • 7 August 2019
Course properties:
  • Free:
  • Paid:
  • Certificate:
  • MOOC:
  • Video:
  • Audio:
  • Email-course:
  • Language: English Gb

Reviews

No reviews yet. Want to be the first?

Register to leave a review

Show?id=n3eliycplgk&bids=695438
NVIDIA
More from 'Mathematics, Statistics and Data Analysis':
Logo2 Network Science
The course is an interdisciplinary course, focused on the emerging science of...
Ff65ad9e-615d-4854-a260-85c56f14e267-408951deadc1.small Image Processing and Analysis for Life Scientists
Basic image analysis for life scientists with a non-engineering background....
F6aab075-0a3a-470a-ae15-51be9167de17-d042de2bd4eb.small Big Data and Education
Learn the methods and strategies for using large-scale educational data to improve...
D6b3439e-b8ca-4b80-bb97-24847723b78b-3662324e466c.small Introduction to Predictive Analytics
In the age of Big Data, businesses need predictive analysts to help them excel...
Ampcamp4-logo Big Data Mini Course: AMP Camp 4 hands-on exercises
The exercises we cover today will have you working directly with the Spark specific...
More from 'edX':
85efb1e5-3a5f-4208-9557-d49de63f8bf3-39d725eeb085.small Thinking & Acting like an Entrepreneur
Discover the entrepreneur inside of you – learn what it takes to turn...
7d43a19b-19fe-49d1-91bd-292d9af31680-696f48418973.small Project Management of Engineering Projects: Preparing for Success
Create your own project plan and learn the importance of the early project phases...
9f0c024a-13b5-4ccc-9de6-2558e0db592f-4515b45a6918.small u.lab: Leading From the Emerging Future
An introduction to leading profound social, environmental and personal transformation...
1428ed1b-d1c4-4a23-9b8c-cb9b858bfecb-5f51c56867fe.small Electric and Conventional Vehicles
Learn how electric and conventional powertrains work and methods to analyse...
7f8faedf-7411-4a57-aaf4-4b143667e297-5607e578b870.small Hybrid Vehicles
Learn to design hybrid powertrains which meet the needs of modern vehicles,...

© 2013-2019