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 2 - Differentiation
Université de PennsylvanieÀ propos de ce cours
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100 % en ligne
Commencez dès maintenant et apprenez aux horaires qui vous conviennent.
Approx. 10 heures pour terminer
Anglais
Sous-titres : Français, Portugais (européen), Chinois (simplifié), Russe, Anglais, Espagnol
Compétences que vous acquerrez
- Differential (Mathematics)
- Newton'S Method
- Linear Approximation
- Differential Calculus
- Derivative
Dates limites flexibles
Réinitialisez les dates limites selon votre disponibilité.
100 % en ligne
Commencez dès maintenant et apprenez aux horaires qui vous conviennent.
Approx. 10 heures pour terminer
Anglais
Sous-titres : Français, Portugais (européen), Chinois (simplifié), Russe, Anglais, Espagnol
Offert par
Université de Pennsylvanie
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.
Programme de cours : ce que vous apprendrez dans ce cours
3 heures pour terminer
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 heures pour terminer
3 vidéos (Total 45 min), 2 lectures, 4 quiz
4 heures pour terminer
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 heures pour terminer
5 vidéos (Total 66 min)
3 heures pour terminer
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 heures pour terminer
3 vidéos (Total 38 min), 1 lecture, 5 quiz
Avis
- 5 stars84,03 %
- 4 stars13,05 %
- 3 stars1,69 %
- 2 stars0,84 %
- 1 star0,36 %
Meilleurs avis pour CALCULUS: SINGLE VARIABLE PART 2 - DIFFERENTIATION
par NP23 oct. 2017
Explanations are crystal clear, with a strong emphasis on developing a deep conceptual understanding of math rather than "calculating derivatives"
par HM28 juil. 2020
It's an awesome lecture. I strongly recommend to take the course in order to improve your understanding of Calculus, especially differentiation.
par GQ16 mars 2019
some interesting applications of even the most basics of calculus, also finally a way to truely understand the second derivate test
par DP6 juin 2020
Highly application oriented course. Better to have strong grounding in theory and principles before starting.
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