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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

2,127 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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326 - 350 of 568 Reviews for Calculus: Single Variable Part 1 - Functions

By Dmitry K

Oct 29, 2016

Very interesting and enlightening!

By Prag S

May 27, 2020

Excellent Course. Good experience


Mar 2, 2017

clear, interesting and impressive


May 18, 2024

I think it's very useful course!

By Yaojie L

Jun 5, 2023

Very difficult but also thorough


Nov 13, 2021


By Fernando L

Aug 15, 2017

One of the best calculus courses

By Alejandro C

Oct 24, 2016

The best course I've ever taken.

By Mukund M

Apr 10, 2020

Please see my review in part 4

By Nicholas S

Mar 25, 2020

Nice tips and interpretations.

By Yunkai C

Aug 25, 2019

so many details, great course!

By Eduardo d O

Aug 14, 2016

Excellent and difficult course

By 林冠宇

Jun 19, 2016

professional and instructional

By Arindam R

Sep 22, 2022

excellent materials and quiz

By richa m

Mar 19, 2020

I re-learnt a lot of concepts

By Luis Y

May 11, 2019

Well explained and demanding.

By Deleted A

Jun 7, 2020

Excellent course. Thank you.

By Bengmin S

Dec 30, 2018

Challenging but fascinating.

By Óscar A O G

Apr 16, 2023

Un curso de mucho provecho.

By Renata B

Jan 3, 2023

Loved it and learned a lot!

By Abdul Q A K

Jul 21, 2021

awesome lecture, thank you

By thanhthanh2502

Sep 1, 2018

the content is very useful.

By María J C

Apr 19, 2020

me encantó, súper completo

By 孙宇杰

Jun 4, 2019

good course, very helpful!

By Pat B

Jul 11, 2017

Best calculus course ever.