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.
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Calculus: Single Variable Part 3 - Integration
Universidade da PensilvâniaInformações sobre o curso
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Prazos flexÃveis
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
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Experimente o Coursera for BusinessHabilidades que você terá
- Differential Equations
- Integration By Parts
- Improper Integral
- Integration By Substitution
Prazos flexÃveis
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
Sua empresa se beneficiaria do treinamento dos funcionários em habilidades sob demanda?
Experimente o Coursera for Business
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 vÃdeos (Total 75 mÃn.), 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 vÃdeos (Total 76 mÃn.)
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 vÃdeos (Total 46 mÃn.)
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 vÃdeos (Total 50 mÃn.), 1 leitura, 6 testes
Avaliações
- 5 stars87,05%
- 4 stars10,71%
- 3 stars1,56%
- 2 stars0,22%
- 1 star0,44%
Principais avaliações do CALCULUS: SINGLE VARIABLE PART 3 - INTEGRATION
por JH14 de mar de 2021
Excellent method. would like to take the next course in the sequence
por CC1 de jul de 2018
I like it because it though me differential equations. This topics was previously missing from my education. It can be daunting to learn DE without proper guidance. This course provided just that.
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 BP8 de dez de 2016
excellent course ..please guys enroll and learn with best prof...Robert Ghrist....
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