University of Pennsylvania
Calculus: Single Variable Part 3 - Integration
University of Pennsylvania

Calculus: Single Variable Part 3 - Integration

Taught in English

40,078 already enrolled

Course

Gain insight into a topic and learn the fundamentals

Robert Ghrist

Instructor: Robert Ghrist

4.8

(494 reviews)

17 hours to complete
3 weeks at 5 hours a week
Flexible schedule
Learn at your own pace

Details to know

Assessments

25 quizzes, 1 assignment

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There are 4 modules in this course

Our first look at integrals will be motivated by differential equations. Describing how things evolve over time leads naturally to anti-differentiation, and we'll see a new application for derivatives in the form of stability criteria for equilibrium solutions.

What's included

5 videos2 readings8 quizzes1 assignment

Since indefinite integrals are really anti-derivatives, it makes sense that the rules for integration are inverses of the rules for differentiation. Using this perspective, we will learn the most basic and important integration techniques.

What's included

6 videos8 quizzes

Indefinite integrals are just half the story: the other half concerns definite integrals, thought of as limits of sums. The all-important *FTIC* [Fundamental Theorem of Integral Calculus] provides a bridge between the definite and indefinite worlds, and permits the power of integration techniques to bear on applications of definite integrals.

What's included

3 videos3 quizzes

The simple story we have presented is, well, simple. In the real world, integrals are not always so well-behaved. This last module will survey what things can go wrong and how to overcome these complications. Once again, we find the language of big-O to be an ever-present help in time of need.

What's included

4 videos1 reading6 quizzes

Instructor

Instructor ratings
4.8 (63 ratings)
Robert Ghrist
University of Pennsylvania
5 Courses182,549 learners

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Recommended if you're interested in Math and Logic

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