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

1,081 ratings
275 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 03, 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.


Dec 16, 2016

Excellent class. Prof. Ghrist has a great teaching style, and his idea to use Taylor Series first is quite effective. Many functions I have shied away from in the past are now familiar to me.

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51 - 75 of 270 Reviews for Calculus: Single Variable Part 1 - Functions

By Taeho K

Nov 05, 2018

This course is a good for refresher for people who took A-Level Further Mathematics or equivalent. By taking the course, you'll be able to look at functions in a different way. The questions are also slightly time consuming (or should I say 'challenging') which helps you have a solid understanding.

By trshant

Mar 25, 2016

i am finally beginning to understand calculus!

It is perfectly paced, and the core homework, while simple really makes you think about what you learned. And prepares you for tougher things, like the challenge homework.

By Kao C F

Jan 26, 2018


By Xiaoming J

May 22, 2017

Very good organized and I especially like the exercises in this course which is both challenging and doable.

By Wolfe G

Feb 17, 2017

A little scary to start with Taylor series, but once mastered, it gives a depth of understanding not given by other MOOCs I have found on the subject.

By Mohamed K E

Dec 17, 2015

amazing class even for an experienced student like myself , i had many gaps in my understanding of calculus that was filled by this class

By João D M P

Jan 03, 2016

The taylor series insight on growth orders and differentiation as well as function definition is invaluable. The lecturer is superbly original in both presentation of the material, but also on an integrative exposition.

By Alvin L

Jun 16, 2017

Great lecturer. The quiz questions can get pretty tough, at least for me. I found the explanations of Taylor series clearer than any I had in school.

By Luoqi W

Aug 30, 2017

Absolutely phenomenal class. Prof. G leads the students in a tasteful exploration into the world of calculus with a curious heart and methodical mind. Lectures are grouped into weeks as mini-series and usually begin with a thought-provoking question or statement. These are immediately followed up with definitions and principles that lay the ground for further examination. But fear not if abstractions aren't your expertise, an army of concrete examples accompany you every step along the way.

Personally I completed this course on Coursera the summer before I entered college in 2013 as an electrical engineering student. To my amazement, even today in 2017 after all those years' bombardment from college level courses I am still revisiting Single Variable Calculus and find it a fresh breeze of air. Thank you Professor G and your team for creating what will be remembered as not just a great math class but a wonderful intellectual adventure.

By Hemant K A

Feb 02, 2016

A really very good course. I learnt a lot. Many thanks to the instructor.

By Noe G S G

Apr 27, 2016

Mr. Robert Ghrist is an excellent teacher. It's a dificult course.,You wil need to practice very much. But you can do it.

By Juan J C C

Jun 27, 2017

Muy bueno, explicaciones muy acertadas y excelentes ejecicios.


Feb 04, 2017

Excellent Course! Thank you professor Ghrist!

By Dmitry P

Feb 14, 2018

For me the most difficult part was "order of growth". It would be very nice if this subject was explained more detailed. It was rather hard course for me (I can't do all the exercises in time). Big thanks for many exercises and for few errors.

By Jerry M

Dec 26, 2016

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

By M-x

Feb 29, 2016

Simply put, this is the best course on Coursera, part one.

By DY.Feng

Sep 22, 2017


By 宗彬

May 21, 2018


By israel

Feb 16, 2016

I love it.

By Thairo M T d S

Jan 10, 2017

É incrível ter a experiência de poder realizar um curso tão rico e bem fundamentado de cálculo. Desde o começo, há uma ligação entre os assuntos, descobrindo não como ocorre em algumas aulas de cálculo que certos teoremas "saem da cartola" como mágica, e sim com a ajuda de algumas equações que, a partir do desenvolvimento algébrico delas, abrem o universo das séries de taylor. O que, sem dúvida, culmina na excelente demonstração do lim x->0 (sen x)/x e de L'Hopital.

Porém, é necessário, como o prof. G diz, já ter visto cálculo e ter uma certa maturidade. Recomendo fortemente um caderno ou um bloco de anotações, será bastante útil tanto como recordação ou como material para revisar. Excelente curso!

By Cameron C

Jan 11, 2016

Excellent! Learned a ton! Lots of hard work, but great payoff.

By Yuji N

Oct 28, 2016

I liked these fancy lecture videos in this course! It's really fun to learn and yet I can learn an advanced stuffs.

By 洪啸宇

Jun 19, 2016


By Sanket P

Feb 09, 2016

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

By Jose Q

May 31, 2018

Muy interesante y de bastante aplicación a otras ramas de la matemática.