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Calculus: Single Variable Part 3 - Integration
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en
Английский
Subtitles available
24 h
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- Self-paced
- Free Access
- Fee-based Certificate
- 4 Sequences
- Introductive Level
- Субтитры доступны на Spanish
Course details
Syllabus
- Week 1 - Integrating Differential Equations
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... - Week 2 - Techniques of Integration
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. - Week 3 - The Fundamental Theorem of Integral Calculus
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 permit... - Week 4 - Dealing with Difficult Integrals
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 ...
Prerequisite
None.
Instructors
Robert Ghrist
Professor
Mathematics and Electrical & Systems Engineering
Editor
L'université de Pennsylvanie (communément appelée Penn) fondée en 1740 est une université privée située à Philadelphie, en Pennsylvanie, aux États-Unis. Membre de l'Ivy League, Penn est la quatrième plus ancienne institution d'enseignement supérieur des États-Unis et se considère comme la première université des États-Unis à proposer des études de premier et de deuxième cycle.
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