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
Пенсильванский университетОб этом курсе
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100% онлайн
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Прибл. 10 часов на выполнение
Английский
Субтитры: Французский, Португальский (Европа), Китайский (упрощенное письмо), Русский, Английский, Испанский
Приобретаемые навыки
- Differential (Mathematics)
- Newton'S Method
- Linear Approximation
- Differential Calculus
- Derivative
Гибкие сроки
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100% онлайн
Начните сейчас и учитесь по собственному графику.
Прибл. 10 часов на выполнение
Английский
Субтитры: Французский, Португальский (Европа), Китайский (упрощенное письмо), Русский, Английский, Испанский
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Пенсильванский университет
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.
Программа курса: что вы изучите
3 ч. на завершение
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 ч. на завершение
3 видео ((всего 45 мин.)), 2 материалов для самостоятельного изучения, 4 тестов
4 ч. на завершение
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 ч. на завершение
5 видео ((всего 66 мин.))
3 ч. на завершение
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 ч. на завершение
3 видео ((всего 38 мин.)), 1 материал для самостоятельного изучения, 5 тестов
Рецензии
Лучшие отзывы о курсе CALCULUS: SINGLE VARIABLE PART 2 - DIFFERENTIATION
от партнера JB17 февр. 2018 г.
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.
от партнера WG16 февр. 2017 г.
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.
от партнера AA18 июня 2021 г.
This course is highly interactive. You'll never experience boredom. This is recommendable to learners of standard level. Remember you should have at least studied calculus at high school.
от партнера SX1 сент. 2020 г.
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.
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