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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Comece imediatamente e aprenda em seu próprio cronograma.
Prazos flexíveis
Redefinir os prazos de acordo com sua programação.
Aprox. 10 horas para completar
Inglês
Legendas: Francês, Portuguese (European), Chinês (simplificado), Russo, Inglês, Espanhol
Habilidades que você terá
Differential (Mathematics)Newton'S MethodLinear ApproximationDifferential CalculusDerivative
Resultados de carreira do aprendiz
50%
comecei uma nova carreira após concluir estes cursos
33%
consegui um benefício significativo de carreira com este curso
100% on-line
Comece imediatamente e aprenda em seu próprio cronograma.
Prazos flexíveis
Redefinir os prazos de acordo com sua programação.
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
2 leituras
How Grading Works10min
Your Guide to Getting Started in this Course10min
4 exercícios práticos
Core Homework: Derivatives30min
Challenge Homework: Derivatives30min
Core Homework: Differentiation Rules30min
Challenge Homework: Differentiation Rules30min
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.)
6 exercícios práticos
Core Homework: Linearization30min
Challenge Homework: Linearization30min
Core Homework: Higher Derivatives30min
Challenge Homework: Higher Derivatives30min
Core Homework: Optimization30min
Challenge Homework: Optimization30min
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
1 leituras
About the Chapter 2 Exam10min
5 exercícios práticos
Core Homework: Differentials30min
Challenge Homework: Differentials30min
Core Homework: Differentiation Operator30min
Challenge Homework: Differentiation Operator30min
Chapter 2: Differentiation - Exam30min
Avaliações
Principais avaliações do CALCULUS: SINGLE VARIABLE PART 2 - DIFFERENTIATION
por JB17 de Fev de 2018
So much fun, and hits all sorts of things I'd always wanted to know. The homework took me a long time, so I didn't get to watch all the bonus lectures, but the ones I did were really interesting.
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 SX1 de Set de 2020
I learned a lot from this course.With animation to explain the formula,makes it easily to be understood.The learning of calculus laid the foundation for my future study.Thanks,professor.
por U16 de Jan de 2016
This module is great. The thing I like most is how professor implements the theory into Physics and other realistic models. Ive also begun liking statistics a little bit. Now, part 3.
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