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 университет
Об этом курсе
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Прибл. 6 часа на выполнение
Английский
Субтитры: Английский, Испанский, Китайский (упрощенное письмо)
Приобретаемые навыки
Differential (Mathematics)Newton'S MethodLinear ApproximationDifferential CalculusDerivative
Карьерные результаты учащихся
50%
начал новую карьеру, пройдя эти курсы
33%
получил значимые преимущества в карьере благодаря этому курсу
100% онлайн
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Прибл. 6 часа на выполнение
Английский
Субтитры: Английский, Испанский, Китайский (упрощенное письмо)
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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
2 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.
2 ч. на завершение
3 видео ((всего 45 мин.)), 2 материалов для самостоятельного изучения, 4 тестов
2 материала для самостоятельного изучения
How Grading Works10мин
Your Guide to Getting Started in this Course10мин
4 практического упражнения
Core Homework: Derivatives16мин
Challenge Homework: Derivatives4мин
Core Homework: Differentiation Rules18мин
Challenge Homework: Differentiation Rules6мин
2 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.
2 ч. на завершение
5 видео ((всего 66 мин.))
6 практического упражнения
Core Homework: Linearization12мин
Challenge Homework: Linearization4мин
Core Homework: Higher Derivatives12мин
Challenge Homework: Higher Derivatives2мин
Core Homework: Optimization10мин
Challenge Homework: Optimization8мин
2 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.
2 ч. на завершение
3 видео ((всего 38 мин.)), 1 материал для самостоятельного изучения, 5 тестов
1 материал для самостоятельного изучения
About the Chapter 2 Exam10мин
5 практического упражнения
Core Homework: Differentials12мин
Challenge Homework: Differentials8мин
Core Homework: Differentiation Operator12мин
Challenge Homework: Differentiation Operator10мин
Chapter 2: Differentiation - Exam20мин
Рецензии
Лучшие отзывы о курсе CALCULUS: SINGLE VARIABLE PART 2 - DIFFERENTIATION
от партнера 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.
от партнера 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.
от партнера 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.
от партнера 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.
от партнера 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.
от партнера NPOct 23, 2017
Explanations are crystal clear, with a strong emphasis on developing a deep conceptual understanding of math rather than "calculating derivatives"
от партнера 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.
от партнера GQMar 16, 2019
some interesting applications of even the most basics of calculus, also finally a way to truely understand the second derivate test
от партнера SSOct 2, 2018
Great for reviewing concepts! Techniques for evaluating complex limits and the Taylor series have been explained very well.
от партнера OKSep 6, 2017
I am not giving 5 stars because of lack of proofs ! some topology i think is necessary to talk about calculus
от партнера LANov 25, 2018
This course is good because there are challenging questions which helps you apply the concepts in calculus!
от партнера USFeb 7, 2016
just excellent, please make one on linear algebra, discrete mathematics and multivariate calculus
от партнера MSMar 5, 2016
Recommended also for people who wants to review the topics after passing this subject in College!
от партнера ASJan 23, 2016
This course has excellent training material. It requires a lot of work from the student though.
от партнера PKSep 6, 2019
Gives a new perspective on derivatives and the clear insight into how a simple calculator works
от партнера GSNov 6, 2018
Excellent material. The way Prof G ties things together is awesome! Do this course.
от партнера HBOct 6, 2018
Excellent Course. Teaches you practical applications of differentiation.
от партнера DRJan 19, 2017
I thought I knew the subject but this course gave me better insight.
от партнера SVNov 15, 2016
Yes I learnt different approach of derivative ...Taylors series..
от партнера GPNov 19, 2017
Great course, everything is explained in a very futuristic way!
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