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.

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.

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

More on this topic:
9359cd1d-8478-4784-888b-dea198ce4722-8b7a47b99d43.small Calculus 1B: Integration
Discover the integral - what it is and how to compute it. See how to use calculus...
Fd92782d-f46f-401b-97d3-fc7bb0266c6f-d7550d10067d.small Calculus 1C: Coordinate Systems & Infinite Series
Master the calculus of curves and coordinate systems; approximate functions...
More from 'Mathematics, Statistics and Data Analysis':
Cefaca2a-d822-4a56-9e39-9c3eb1cb0417-8b213225699e.small Marketing Analytics: Products, Distribution and Sales
Learn how to identify what your consumers want in a product and the best distribution...
Ef5dcb87-b65b-46a6-bb2a-c5a3f7807845-a20fd78f7a22.small Engineering Calculus and Differential Equations
Learn fundamental concepts of single-variable calculus and ordinary differential...
9d0109cc-c182-4626-bf5f-990f0ff1b5a8-e81e63edf896.small Question Everything: Scientific Thinking in Real Life
Learn how to use math and science to solve everyday problems. Have you ever...
91f52ef3-fa3f-4934-9d19-8d5a32635cd4-f527863de9dd.small Data Science: R Basics
Build a foundation in R and learn how to wrangle, analyze, and visualize data...
B4072f23-f746-43a1-9819-8e3d8b066f38-c01f09410d22.small Data Science: Visualization
Learn basic data visualization principles and how to apply them using ggplot2...
More from 'edX':
F2694a55-7704-4dd5-9799-2a1557efa0c3-b4b4a6ad7af5.small A System View of Communications: From Signals to Packets (Part 1)
Explore the tradeoffs in designing communication systems like mobile phones...
Caea2810-3db2-4d5f-be7d-22a9d91a4900-73dd82a62ccb.small A System View of Communications: From Signals to Packets (Part 2)
Explore the tradeoffs in designing communication systems like mobile phones...
Eae8c83b-6d58-4537-a254-b3718f7d0ff7-6241fa1d0daf.small A System View of Communications: From Signals to Packets (Part 3)
Explore the tradeoffs in designing communication systems like mobile phones...
Dc11dbe9-22da-4910-b17c-b981a6a4593b-19760eb7a5cd.small Best Practices for Project Management Success
Learn how to create an organizational environment that supports project success...
9d419825-0c0a-4b8c-be67-17c68788c366-0fc288aa2ea0.small International Project Management
Learn what makes global projects uniquely challenging and how to successfully...

© 2013-2019