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.
ofrecido por
Calculus: Single Variable Part 2 - Differentiation
Universidad de PensilvaniaAcerca de este Curso
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Fechas lÃmite flexibles
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100Â % en lÃnea
Comienza de inmediato y aprende a tu propio ritmo.
Aprox. 10 horas para completar
Inglés (English)
SubtÃtulos: Francés (French), Portugués (europeo), Chino (simplificado), Ruso (Russian), Inglés (English), Español (Spanish)
Habilidades que obtendrás
- Differential (Mathematics)
- Newton'S Method
- Linear Approximation
- Differential Calculus
- Derivative
Fechas lÃmite flexibles
Restablece las fechas lÃmite en función de tus horarios.
100Â % en lÃnea
Comienza de inmediato y aprende a tu propio ritmo.
Aprox. 10 horas para completar
Inglés (English)
SubtÃtulos: Francés (French), Portugués (europeo), Chino (simplificado), Ruso (Russian), Inglés (English), Español (Spanish)
ofrecido por
Universidad de Pensilvania
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 - Qué aprenderás en este curso
3 horas para completar
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 completar
3 videos (Total 45 minutos), 2 lecturas, 4 cuestionarios
4 horas para completar
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 completar
5 videos (Total 66 minutos)
3 horas para completar
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 completar
3 videos (Total 38 minutos), 1 lectura, 5 cuestionarios
Reseñas
- 5 stars83,90Â %
- 4 stars13,13Â %
- 3 stars1,77Â %
- 2 stars0,82Â %
- 1 star0,35Â %
Principales reseñas sobre CALCULUS: SINGLE VARIABLE PART 2 - DIFFERENTIATION
por GQ16 de mar. de 2019
some interesting applications of even the most basics of calculus, also finally a way to truely understand the second derivate test
por MB6 de jul. de 2022
Wikipedia, Lang's calculus textbook, and the course notes from the internet archive were my constant companions. The homeworks certainly got me to study!
por NS29 de jun. de 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 NP23 de oct. de 2017
Explanations are crystal clear, with a strong emphasis on developing a deep conceptual understanding of math rather than "calculating derivatives"
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