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Back to Calculus: Single Variable Part 3 - Integration

Calculus: Single Variable Part 3 - Integration, University of Pennsylvania

200 ratings
30 reviews

About this Course

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. In this third part--part three of five--we cover integrating differential equations, techniques of integration, the fundamental theorem of integral calculus, and difficult integrals....
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30 Reviews

By Omar Jisr

Nov 10, 2018

So far the most difficult chapter of the 5-part calculus course. This makes successfully finishing the course feel like a great achievement. Prof. Ghrist does a wonderful job explaining the concepts of this chapter. The structure of the course is also well-organized to gradually give the learner a better understanding of integration concepts and techniques.

By thanhthanh2502

Sep 13, 2018

the content is very useful

By Maxine Tan

Aug 19, 2018

difficult though, really useful


Jul 02, 2018

I like it because it though me differential equations. This topics was previously missing from my education. It can be daunting to learn DE without proper guidance. This course provided just that.

By Jorge Pastrana

Apr 26, 2018

Just superb, not easy, challenging but so well prepared. Thanks for it Dr Ghrist.

By Lau Chin Cho Cybele

Apr 21, 2018

thank you very much


Mar 27, 2018

Amazing Calculus Course!

By Xiao Liang

Nov 22, 2017

The Bonus lectures are just great! I majored in Mathematics in university, and they're even enlightening to me. BTW, thanks for the introduction to Wolfram Alpha. It's really fun.

By Sachin Machindra Vyavahare

Oct 25, 2017

Excellent Course

By bernie3311

Sep 10, 2017

a rather difficult one but clearly and simply explained.