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Calculus 1B: Integration

Massachusetts Institute of Technology via edX

1 Review 814 students interested

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Overview

How long should the handle of your spoon be so that your fingers do not burn while mixing chocolate fondue? Can you find a shape that has finite volume, but infinite surface area? How does the weight of the rider change the trajectory of a zip line ride? These and many other questions can be answered by harnessing the power of the integral.

But what is an integral? You will learn to interpret it geometrically as an area under a graph, and discover its connection to the derivative. You will encounter functions that you cannot integrate without a computer and develop a big bag of tricks to attack the functions that you can integrate by hand. The integral is vital in engineering design, scientific analysis, probability and statistics. You will use integrals to find centers of mass, the stress on a beam during construction, the power exerted by a motor, and the distance traveled by a rocket.

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.

This course was funded in part by the Wertheimer Fund.

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

Calculus 1A: Differentiation

Calculus 1C: Coordinate Systems & Infinite Series

*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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Review for edX's Calculus 1B: Integration
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Dna47a D
5.0 7 months ago
Dna47a completed this course, spending 10 hours a week on it and found the course difficulty to be medium.
Part 2 of single variable calculus course is another great MIT course. The videos, exercises and problem sets are excellent. The pace of the course accommodates everyone from students, busy working professionals, etc ., Add to this generous extensions of the due date by the course staff so that maximum students can learn and complete the course. A great way to learn single variable calculus.
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