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 2 - Differentiation
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. 10 horas para completar
Inglês
Legendas: Francês, Portuguese (European), Chinês (simplificado), Russo, Inglês, Espanhol
Habilidades que você terá
- Differential (Mathematics)
- Newton'S Method
- Linear Approximation
- Differential Calculus
- Derivative
Prazos flexíveis
Redefinir os prazos de acordo com sua programação.
100% on-line
Comece imediatamente e aprenda em seu próprio cronograma.
Aprox. 10 horas para completar
Inglês
Legendas: Francês, Portuguese (European), Chinês (simplificado), 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
3 horas para concluir
A New Look at Differentiation
Think derivatives mean "slopes"? Not anymore... In this module, we will reconsider what a derivative is and means in terms of the asymptotic (or big-O) notation from the previous chapter. This will give us a new language for describing and understanding rates of change and the rules that govern them.
3 horas para concluir
3 vídeos (Total 45 mín.), 2 leituras, 4 testes
4 horas para concluir
Putting Derivatives to Work
Why exactly are derivatives so central to calculus? In part, it is because they are so ubiquitously useful! In this module, we will recall a few core applications of derivatives. In so doing, we'll see exactly how having an understanding of the asymptotics assists in building applications of the derivative.
4 horas para concluir
5 vídeos (Total 66 mín.)
3 horas para concluir
Differentials and Operators
There is much more to derivatives than simply their computation and applications. So much of how they arise is calculus is in the mysterious guise of *differentials*. These arise from implicit differentiation, which in turn reveals a deeper level of understanding of what differentiation means.
3 horas para concluir
3 vídeos (Total 38 mín.), 1 leitura, 5 testes
Avaliações
- 5 stars84,01%
- 4 stars13,07%
- 3 stars1,69%
- 2 stars0,84%
- 1 star0,36%
Principais avaliações do CALCULUS: SINGLE VARIABLE PART 2 - DIFFERENTIATION
por WG16 de fev de 2017
Not a class for someone with no calculus experience. However, if you have some calculus knowledge it will deepen your knowledge more than any other MOOC I have found. Truly a great course.
por AC24 de out de 2016
This is, by far, the best course I have ever taken. I will take the Multivariable Calculus course when it is open, after finishing the 5 S.V.C. courses.
por NP23 de out de 2017
Explanations are crystal clear, with a strong emphasis on developing a deep conceptual understanding of math rather than "calculating derivatives"
por OO13 de ago de 2020
I gave 5 stars ....should have been 6 or more!!!!.....a Masterpiece of course.....Thanks Dr Ghrist, really thank you for it.....and congratulations to you, your team and all who study it....
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