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.
Calculus: Single Variable Part 2 - Differentiation
oferecido por
Calculus: Single Variable Part 2 - Differentiation
Universidade da Pensilvânia
Informações sobre o curso
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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. 14 horas para completar
Sugerido: 6-8 hours/week
Inglês
Legendas: Inglês, Espanhol, Chinês (simplificado)
Programa - O que você aprenderá com este curso
2 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.
2 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: Derivatives16min
Challenge Homework: Derivatives4min
Core Homework: Differentiation Rules18min
Challenge Homework: Differentiation Rules6min
2 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.
2 horas para concluir
5 vídeos (Total 66 mín.)
6 exercícios práticos
Core Homework: Linearization12min
Challenge Homework: Linearization4min
Core Homework: Higher Derivatives12min
Challenge Homework: Higher Derivatives2min
Core Homework: Optimization10min
Challenge Homework: Optimization8min
2 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.
2 horas para concluir
3 vídeos (Total 38 mín.), 1 leitura, 5 testes
1 leituras
About the Chapter 2 Exam10min
5 exercícios práticos
Core Homework: Differentials12min
Challenge Homework: Differentials8min
Core Homework: Differentiation Operator12min
Challenge Homework: Differentiation Operator10min
Chapter 2: Differentiation - Exam20min
Avaliações
Principais avaliações do CALCULUS: SINGLE VARIABLE PART 2 - DIFFERENTIATION
por JBFeb 17, 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 WGFeb 16, 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 UJan 16, 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.
por NSJun 29, 2018
It's really a learning experience. Questions have the practical approach. It provides a wider prospective of knowledge and application. Thank you for being a part this group.
por ACOct 24, 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 NPOct 23, 2017
Explanations are crystal clear, with a strong emphasis on developing a deep conceptual understanding of math rather than "calculating derivatives"
por CCJun 28, 2018
This course has an appropriate amount of rigor for an intermediate math course. I was pleasantly surprised at how much I have learned.
por GQMar 16, 2019
some interesting applications of even the most basics of calculus, also finally a way to truely understand the second derivate test
por SSOct 2, 2018
Great for reviewing concepts! Techniques for evaluating complex limits and the Taylor series have been explained very well.
por OKSep 6, 2017
I am not giving 5 stars because of lack of proofs ! some topology i think is necessary to talk about calculus
por LANov 25, 2018
This course is good because there are challenging questions which helps you apply the concepts in calculus!
por MSMar 5, 2016
Recommended also for people who wants to review the topics after passing this subject in College!
Sobre 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.
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