Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat. This brisk course covers the core ideas of single-variable Calculus with emphases on conceptual understanding and applications. The course is ideal for students beginning in the engineering, physical, and social sciences. Distinguishing features of the course include: 1) the introduction and use of Taylor series and approximations from the beginning; 2) a novel synthesis of discrete and continuous forms of Calculus; 3) an emphasis on the conceptual over the computational; and 4) a clear, dynamic, unified approach.
oferecido por
Calculus: Single Variable Part 3 - Integration
Universidade da PensilvâniaInformações sobre o curso
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Prazos flexíveis
Redefinir os prazos de acordo com sua programação.
100% on-line
Comece imediatamente e aprenda em seu próprio cronograma.
Aprox. 17 horas para completar
Inglês
Legendas: Francês, Portuguese (European), Russo, Inglês, Espanhol
Habilidades que você terá
- Differential Equations
- Integration By Parts
- Improper Integral
- Integration By Substitution
Prazos flexíveis
Redefinir os prazos de acordo com sua programação.
100% on-line
Comece imediatamente e aprenda em seu próprio cronograma.
Aprox. 17 horas para completar
Inglês
Legendas: Francês, Portuguese (European), Russo, Inglês, Espanhol
oferecido por
Universidade da Pensilvânia
The University of Pennsylvania (commonly referred to as Penn) is a private university, located in Philadelphia, Pennsylvania, United States. A member of the Ivy League, Penn is the fourth-oldest institution of higher education in the United States, and considers itself to be the first university in the United States with both undergraduate and graduate studies.
Programa - O que você aprenderá com este curso
6 horas para concluir
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.
6 horas para concluir
5 vídeos (Total 75 mín.), 2 leituras, 8 testes
5 horas para concluir
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.
5 horas para concluir
6 vídeos (Total 76 mín.)
2 horas para concluir
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 permits the power of integration techniques to bear on applications of definite integrals.
2 horas para concluir
3 vídeos (Total 46 mín.)
4 horas para concluir
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 ever-present help in time of need.
4 horas para concluir
4 vídeos (Total 50 mín.), 1 leitura, 6 testes
Avaliações
- 5 stars87,35%
- 4 stars11%
- 3 stars0,93%
- 2 stars0,23%
- 1 star0,46%
Principais avaliações do CALCULUS: SINGLE VARIABLE PART 3 - INTEGRATION
por JK18 de jul de 2021
The best calculus courses I've ever had... let alone it being free!!!
por OT24 de nov de 2020
A very good course for someone who is decent at mathematics and wants to study calculus AFTER HIGH SCHOOL CALCULUS.
por SX10 de set de 2020
I learned a lot about integral.The course contains many knowledge.
por AB17 de jun de 2016
A bit difficult, but not truly when a good effort is made. No doubt interesting. Even a post graduate student will truly benefit from this course.
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