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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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226 - 250 of 569 Reviews for Calculus: Single Variable Part 1 - Functions

By Jerome C

Dec 26, 2017

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


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.

By Zafar A

May 10, 2021

Excellent exercises.

if the instructor speaks a bit fast, it will save time.

By Vamsidhar B

Jul 15, 2017

very good simple to understand but homework problems are some times complex

By Alex O

Apr 1, 2017

Great course. I've never had math being explained as good as mr Ghrist did.

By 赵天旸

Jan 21, 2017

It is a little difficult for me I think, but the professor is really good.

By Praveen

Aug 21, 2020

It was amazing course for me.

I don't learn before like Pro. Ghrist teach.

By Hemant K A

Feb 2, 2016

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

By Cheng H

Jan 23, 2019

best math course i've had so far after long years out of school~ thanks!

By Jose Q

May 31, 2018

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

By Petr S

Nov 16, 2016

I liked it a lot! Sometimes it was too difficult, but I rellay liked it!

By Rohini S

Sep 25, 2020

This is a very usefull course, I have learned so much from this course

By Dr K A

Apr 30, 2020

Very well organized programme for the motivation of respective subject

By Ramanuj H

Jun 4, 2019

This is a very good course delivered in an engaging and accessible way

By John C

Feb 11, 2021

Very high level course that leaves one wanting more calculus courses.


Jun 12, 2020

Best course for basics of limit and deriavtives with integration also

By Zain U a

Sep 8, 2023


By bowen

Nov 29, 2020


By Yizhou H

Apr 26, 2017

A pretty great lecturer makes a good impact on my own study in math.

By Debasish M

Apr 16, 2023

Very good course as per expectations. Learn lots of things clearly.

By Jeff M

Jan 10, 2023

Engaging lectures and a fun way to approach the basics of calculus.

By zhangzhe

Feb 5, 2017

Great course, it explained a lot of questions about calculus I had.

By Парменова М Ж

Mar 3, 2023

Шектерді есептеуде Тейлор қатарына жіктеп есептеуге болатыны ұнады

By Ersan E

Nov 7, 2016

Taking everything deep enough; not less or not much until now.