Back to Calculus: Single Variable Part 1 - Functions

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2,132 ratings

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....

YG

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.

NL

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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By Suman K

â€¢Jun 21, 2020

nic

By Jonah A

â€¢Feb 11, 2019

E

By Suyash M

â€¢Mar 18, 2019

Very good course for revisiting calculus. It never feels old as it tackles functions and limits from a different perspective - that of the Taylor Series. But it is mostly concerned with evaluating limits and series. Some things were assumed to be true without explanation, which, I admit, might have made understanding them easier. But it slightly chafes the mind to know something without knowing proof for it, and how it came to be. Some questions that may arise but remain unanswered in the lectures include : How to find the domain of convergence of a series? Where did the Taylor's Series formula come from? These and some more are not addressed in this course, but they might be in the future chapters (which I have not completed)

By Becky B

â€¢Aug 17, 2020

I find the forums much more difficult to navigate than the edx.com MIT calculus course forums. So when I had a question on a homework question or needed additional explanation for a particular topic or type of problem I found it frustratingly difficult to find help in the forums.

I know he is very popular, and his videos are well done, but I didn't learn nearly as much as when I took the MIT courses on edx. I didn't feel like the videos adequately prepared me to be successful on the homework.

By Jawad

â€¢Sep 5, 2020

This course is good and the lecture is okay. However, I hated lengthy question that only assess your time in multiplication and addition of terms. I expect hard questions mean question that trigger higher level order thinking not complex multiplication and addition that is really time consuming but can be done without using critical thinking skills.

By MarÃa J L A

â€¢Aug 2, 2021

El profesor deberÃa hacer mÃ¡s ejemplos parecidos a los que vienen en los exÃ¡menes. TambiÃ©n, deberÃa ser mÃ¡s explicativo en las afirmaciones que hace sobre todo en el tema de Orders of Growth, y hacer ejemplos anÃ¡logos a los exÃ¡menes correspondientes. Gracias.

By S. A

â€¢Jun 7, 2021

the course is for those who already know calculus and looking for some more challenges. If you are new in this area you better take some basic courses, not this one.

By Tomas R

â€¢May 21, 2020

Great course, but I think that Calculus One (

https://en.wikipedia.org/wiki/Calculus_One) is even beter. I found it more comprehensible.

By Casagrande N

â€¢Aug 23, 2023

Nice course but some concepts should be presented with a slower speed and a more in depth construction

By Canan G

â€¢Apr 19, 2020

Thanks for your efforts for this course but despite i have finished the course, it was hard for me

By Elany A d C

â€¢May 3, 2020

Taylor series is not important. I miss derivate, integral and more about limits and functions.

By james.v

â€¢Jul 16, 2019

Lot of gab between video lecture and assignment problems

By saad k

â€¢Jan 16, 2016

very defcult

By Amir Y

â€¢Feb 10, 2022

good

By Omar A K

â€¢Aug 2, 2017

Easy if you consider the fact that I learned the proper definition of the limit before differentiation and before (of course) any presentation of the Taylor series, with the proper integral rest of course, french mathematical education is not that bad after all.

By Natasha K

â€¢May 16, 2022

Information is high level but the homework is more detailed. Needed to find supplemental information to complete coursework. Found Kahn Academy to be more useful

By Ashkan R

â€¢Feb 5, 2016

Calculus isn't that LONG!! you can divide it into 2 courses, not 4, namely single- and multi- variable(s).

By Shubham S

â€¢Jun 24, 2022

why i havn't recieved my cerificate

By Mursalin S

â€¢Aug 10, 2020

certificate?