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Learner Reviews & Feedback for Single Variable Calculus by University of Pennsylvania

210 ratings
54 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 fifth part--part five of five--we cover a calculus for sequences, numerical methods, series and convergence tests, power and Taylor series, and conclude the course with a final exam. Learners in this course can earn a certificate in the series by signing up for Coursera's verified certificate program and passing the series' final exam....

Top reviews

Sep 14, 2019

Loved it ! I've grown attached to Prof. Ghrist's lectures, so it is with a heavy heart that I took the final exam and finished this course. I xould really love to take another !

Apr 9, 2020

A fantastic course. Kudos to Prof. Ghrist for making this a fun, interesting and challenging ride at the same time. Looking forward to Multivariable Calculus by Prof. Ghrist.

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26 - 50 of 54 Reviews for Single Variable Calculus

By Achintya S

Jun 28, 2020

Very challenging, extremely helpful for those who are studying or will study calculus in college.

By Ignacio M A

Oct 8, 2017

Excellent set of courses! I really hope there will be a multivariable course in the same fashion.

By jonas m

Jul 26, 2019

Great course, although quite challenging at parts. Nevertheless, the fruits are rewarding!

By Guo F

Sep 6, 2020

Thank you, prof/g and your team! This is a long & challenging journey, but I enjoyed it!

By Matt J

Jun 11, 2019

This fifth unit is highly original! I loved the "digital calculus" part.


Jul 10, 2018

An introduction to numerical analysis was exactly what I need.

By Snehalkumar D P

Aug 2, 2020

It was really wonderful course. Everything was excellent.

By Georgios P

Dec 20, 2017

A course from the future of education!

By Maarten B

Sep 25, 2017

I would highly suggest trying it out!

By maunil c

Jan 24, 2016

professor's explanation is the best.

By Adam R

Jul 8, 2019

So helpful and makes math beautiful

By 키키

Dec 31, 2020

Wonderful course, great journey!

By amirali s

Oct 26, 2020

It’s fascinating 👌🏻👌🏻👌🏻

By Patricia B

Jul 11, 2017

Best calculus course ever.

By Tobias B

Jan 27, 2020

A good intro to calculus

By Lau C C C

Apr 21, 2018

thank you very much

By 吴琦

Feb 19, 2020

Difficult course!


Aug 3, 2017

Excellent course

By Michael C

May 2, 2019

Great course.

By Nafis F

Oct 27, 2020



Jul 27, 2016


By Tuan H

Dec 11, 2016


By Subhee

Apr 5, 2020


By Vishal G

Feb 8, 2019

I took the discrete calculus part of the course (part 5 of 5) individually of the rest and the teaching is fine with examples for any concept introduced and links between the unfamiliar discrete calculus and ordinary single variable calculus are made all the time. However, I feel like the course isn't so well named as there is only a week of developing the calculus of sequences and then it goes to standard analysis content - I came for the new content only which was a little disappointing. I will pursue it in the future but there wasn't really any suggestions for further study which I found either. The challenge exercises were great for developing on the subject like with the product rule but there isn't much supporting material for the challenge homework like why the product rule formula is asymmetric.

I feel like the end part of the course should be the discrete calculus exam rather than the 5 part final exam because some may be taking this course individually and might not know some of the content in the final part and so, may not pass the course without using external resources to learn things they didn't learn. The final exam should either only be for people who have completed the four previous parts or a choice if you've only taken some of the five parts.

The course was good and Professor Ghrist is great at teaching; just that he takes a little too long but speeding up makes that fine. The topics never feel like they were underutilised or unimportant; every concept is given practical or theoretical justification for its introduction which is fantastic. It would have been nice to see more applications of discrete calculus as a method to evaluate sums, maybe as exercises? I did enjoy the course too, thanks Professor Ghrist and your team.

By Mary-Ellen W

Dec 24, 2020

The course was challenging and interesting. The homework was mostly fine, but one core homework set was almost impossible to pass (Week 3 Convergence Tests II), and the responses from one of the TA's in the discussion were so insulting and unhelpful that I didn't dare ask for any help.