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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

2,132 ratings

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.

Thank you so much Prof. Ghrist.

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201 - 225 of 569 Reviews for Calculus: Single Variable Part 1 - Functions

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 Yu

Jun 18, 2021

Very clear explanation, except that part related to big-O, maybe more notes will be better.

By Ash K

Apr 22, 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 Eduardo A

Nov 25, 2021

Very good course. Pays attention on interesting details which can be easily overlooked..

By Zejd I

Apr 20, 2022

Great and hard course. For the ethusiasts and people with solid knowledge of this topic

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 Infant J

Jun 21, 2022

Very good introduction to calculus. I like the animations too. thank you prof ghrist.

By Jair R

Jul 10, 2020

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

By Pankaj K

Sep 14, 2022

nice course and specially the last section about order of convergence is eye opening

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 muhammad a

Dec 8, 2022

Excellent course . I have learnt a lot of things from this course .

Thank you .

By Jae W K

Apr 24, 2021

Amazing course. I'm going ahead to do the following parts of the whole course.

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