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.
от партнера
Calculus: Single Variable Part 2 - Differentiation
Пенсильванский университетОб этом курсе
Недавно просмотрено: 11 608
Гибкие сроки
Назначьте сроки сдачи в соответствии со своим графиком.
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
Приобретаемые навыки
- Differential (Mathematics)
- Newton'S Method
- Linear Approximation
- Differential Calculus
- Derivative
Гибкие сроки
Назначьте сроки сдачи в соответствии со своим графиком.
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
от партнера
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
- 5 stars84,09 %
- 4 stars13,01 %
- 3 stars1,68 %
- 2 stars0,84 %
- 1 star0,36 %
Лучшие отзывы о курсе CALCULUS: SINGLE VARIABLE PART 2 - DIFFERENTIATION
от партнера EA15 дек. 2020 г.
I love this course, and it's really interesting and practical. This time around I had 79%, and this is the second calculus course I took with UPenn. My third one will be around 90%+
от партнера NP23 окт. 2017 г.
Explanations are crystal clear, with a strong emphasis on developing a deep conceptual understanding of math rather than "calculating derivatives"
от партнера U16 янв. 2016 г.
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.
от партнера HM28 июля 2020 г.
It's an awesome lecture. I strongly recommend to take the course in order to improve your understanding of Calculus, especially differentiation.
Часто задаваемые вопросы
Когда я получу доступ к лекциям и заданиям?
Остались вопросы? Посетите Центр поддержки учащихся.
