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Calculus 1A: Differentiation

Massachusetts Institute of Technology via edX

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Overview

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.

Syllabus

Abridged Syllabus

Limits

  1. Limit Laws
  2. Continuity
  3. Intermediate Value Theorem

Differentiation

  1. Introducing the Derivative
  2. Rules for differentiation of all known functions
  3. Approximations

Applications of Differentiation

  1. Curve Sketching
  2. Optimization
  3. Related Rates

 

Taught by

David Jerison

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Reviews for edX's Calculus 1A: Differentiation
5.0 Based on 4 reviews

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  • 1
Prashant S
5.0 11 months ago
by Prashant completed this course, spending 35 hours a week on it and found the course difficulty to be medium.
-Must for everyone!!!

Good:

-Short videos

-Concept explaination

-Short quizz really tests your knowledge AWESOME :)

-Limits are explained in a great way.

-Why this course is not self paced?
Was this review helpful to you? Yes
Dna47a D
5.0 7 months ago
Dna47a completed this course.
An excellent course from MIT. Can't describe it but you have to take it to experience how good the course materials are.
Was this review helpful to you? Yes
Marat M
5.0 3 years ago
by Marat completed this course.
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Max F
5.0 3 years ago
Max completed this course.
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