Back to Calculus: Single Variable Part 1 - Functions

4.8

stars

1,428 ratings

•

372 reviews

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....

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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By Stephen w

•Jun 02, 2018

This course is difficult, and sometimes is not easy to know how to correct the homework questions since there are no analysis of them and the answers in the forum are not quite complete.

By JHONNY L L

•May 14, 2019

I really liked this Calculus course, there were many interesting problems and with a good degree of difficulty. I give them five stars, and I greatly appreciate them for this course.

By Joseph E A V

•Jun 02, 2020

Very Informative course and easy to catch. Although knowledge on the subject is a prerequisite before taking this. Not advisable to those with no knowledge whatsoever in calculus.

By Devarshi P

•May 31, 2020

Very creative way of teaching one of the most important and difficult applied math topic. The course is taught differently then traditional textbook and is challenging as well.

By Ning L

•Oct 28, 2016

What can I say? It is so good that I watch the lectures when I have dinner alone. Prof Ghrist absolutely has presented calculus so well that it becomes such an entertainment!

By Sagar G

•Nov 30, 2018

Great UI and explanation.Started with the Engg. maths and taking it to high school and for the Developer like me Big O is something which introduced in a appropriate way..:)

By Pietro R

•Jun 16, 2018

I easily understood concept that i never understood before. I'd say that this is the perfecto goal of any possible course: make understandable the not-easily-understandab

By Bongani P

•Jul 14, 2017

This is one of the best mathematics courses I have ever taken. The lectures are straight to the point and the homework's are very very challenging. Thoroughly enjoyed it.

By Daniel M

•Apr 15, 2016

I have already taken it once. I am taking it again now. A wonderful course. I am always amazed at how clear Prof. Ghrist's explanations are. Thanks for this course.

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 Wenkai L

•Jan 08, 2016

This course is very great and helpful. However, I think the course should provide more exercises to help students comprehend the new knowledge better.

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 Rui F

•Sep 17, 2018

Excellent course with appropriate difficulty. Professor's speech is very clear. This is extremely helpful for non-english speaking students like me.

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 Matei B

•Apr 05, 2020

Very well constructed course. I recommend it to all high-school students that want to develop their standard mathematical knowledge

By ASHWANI K J

•Jan 11, 2016

This course really boost up the knowledge of Calculus with depth of understanding.

The quiz of challenges were really awesome.

By JORGE E M L V

•Mar 18, 2019

ES MUY BUENO ESTE CURSO DE VERDAD QUE SE APRENDE MUCHO AQUÍ, LO RECOMIENDO BASTANTE YA QUE TIENE CONTENIDOS MUY INTERESANTES

By Eric H

•Jun 18, 2017

Lectures are clear and well presented, slides are dynamic and very well done. Prof Ghrist put together an excellent course.

By Jarrod K

•Nov 11, 2016

Fantastic applied mathematics course for students interested in engineering. Extremely challenging but amazingly rewarding.

By 邹文平

•May 27, 2020

Thank you so much. Your courses are interesting and really get me engaged in Calculus which I have found difficult so far.

By Фесенко Г Е

•May 20, 2017

Great course, thank you! Easy explanations for complecated math theorems is exactly what I wanted to see in online course.

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 Irina Š

•May 05, 2020

Great course! Thank you Professor Ghrist for being a great teacher and giving us the right intuition for every lesson.

By Zeda L

•Jun 13, 2017

Excellent！Professor makes it so easy for me to understand and learn the difficult part of this course. Thanks a lot!

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