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Back to Calculus: Single Variable Part 1 - Functions

Learner Reviews & Feedback for Calculus: Single Variable Part 1 - Functions by University of Pennsylvania

1,642 ratings
445 reviews

About the 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 first part--part one of five--you will extend your understanding of Taylor series, review limits, learn the *why* behind l'Hopital's rule, and, most importantly, learn a new language for describing growth and decay of functions: the BIG O....

Top reviews

Jul 2, 2018

Very well structured for a refresher course. Thank you Professor Ghrist for your effort in putting this course together. A little additional outside research was required but well worth the effort.

Feb 9, 2021

Excellent introduction to Calculus, I wanted to review the material to tutor my child but I am very happy that I learned a whole new way of looking at Calculus.\n\nThank you so much Prof. Ghrist.

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151 - 175 of 439 Reviews for Calculus: Single Variable Part 1 - Functions

By Nesrine Z

Apr 10, 2020

I really enjoyed the course, it was very helpful to understand the Taylor series. Many thanks.

By Lijia L

Feb 26, 2017

I like this course very much. Prof. Robert Ghrist is humorous, and the mentor is very helpful!

By Jiaming L

Aug 26, 2019

The course is perfect and the professor put all his effort on the program. It did help a lot.

By faraz g

Apr 30, 2020

It was really useful. But, the tests were very hard. I did enjoy this course. Thank you all.

By Sabhrant S

Apr 7, 2020

I liked the difficulty of the questions. Very good course. Thank you sir for your hard work.


Jun 26, 2018

The course is rigorous. I managed to learn something about Big-O that I did not know before.

By 黎健钊

May 1, 2017

learn a lot about calculus which is different from China Calculus Book, Thank you so much...

By Jerry M

Dec 26, 2016

This is an excellent course! I enjoyed the problem sets and the Bonus Lectures. Well Done!

By Ash K

Jan 25, 2021

Very beautifully taught by Robert Sir! The visualizations and bonus material were awesome!

By Carlos A G R

Jul 7, 2020

Excellent course. Thank you very much for providing this course. And for sharing knowledge

By Zhu L

Aug 19, 2018

This is an excellent course, thank you professor, your analysis process helps me a lot!

By Huang-Yu C

Mar 22, 2018

I learn a lot by participating in the class! Thank you professor~ and also thanks UPenn

By Jairnic13 p

Jul 10, 2020

This is an exceptional course. I learned about Calculus from another perspective here.

By Ian C

Apr 14, 2020

I didn't have the time to complete it, but this is an excellent and worthwhile course

By Much Z

Jan 14, 2019


By Guanni Q

Aug 28, 2018

The Pre-calculus is really helpful and meaningful. It deeps my understanding of math.

By Paras J

Jan 10, 2017

The course material was balanced and the Assignments questions were well selected.

By Walter C G V

Sep 19, 2017


By Deleted A

Jan 16, 2019

Excellent course. A little bit of toughness but quite enjoyable and rewarding.

By 杨佳熙

Jun 21, 2016

the first four session is free which is econmic friendly. show u my respect :)

By Zhenkai B

Aug 30, 2020

I think this course is good for the learner who wants to begin with calculus.

By E G

Feb 15, 2018

Really nice course. I expected it to be boring, but It wasn't! Good professor

By Jerome C

Dec 26, 2017

Great class. That is a good reminder of what might have studied in university

By Juan E B B

Feb 26, 2016

Realmente muy bueno, es un reto para los hispano-hablantes pero vale la pena

By Sanket P

Feb 9, 2016

Very good course. Helped me revise all the important concepts from Calculus.