Back to Calculus: Single Variable Part 1 - Functions

4.7

stars

1,472 ratings

•

387 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 Vashurin R

•Apr 25, 2016

Course is really cool, but oriented mostly on practical exercises and providing definitions. It would be much better if it had more formal proofs. Otherwise excellent course with a lot of challenging problems to solve.

By Camilo D O H

•Jul 26, 2020

It is a really good course, with a lot of definitions used at undergraduate level and well explained. Nevertheless, I could not understand too much about Big O. Probably, more examples would be useful to clarify it.

By Nisarg K

•Feb 23, 2016

Would have preferred accompanying solutions. Just getting the answer ain't enough. Making sure my approach is correct is essential as well considering the course touches upon the absolute basics.

By Weinan H

•Jul 14, 2017

The course is intriguing. More practice questions and explanations will be good. And it will be beneficial if it can provide extra background knowledge (or link) for further study.

By Francisco A

•Jun 07, 2020

I quite enjoyed the course, although I found it unnecessarily tough sometimes. I believe extra solved examples for convergence, geometric and binomial series could help a lot!

By Mount N

•Sep 04, 2016

ppt真心做得很漂亮，但是这门课程不是一门入门课，面向对象是在已经掌握了微积分的前提下、希望对微积分进一步了解和巩固的学生，自然，有些地方的讲述是非常仓促的。

思路上讲主线一直围绕泰勒级数展开，也总是以泰勒级数为思考角度（包括后面part 2也是如此），个人并不是十分适应这种纯数学的方式，更喜欢感官上、性质上来把握，所以……仁者见仁智者见智吧 ^_^

By Krishna P R

•Jun 20, 2018

I have taken a calculus course at university which dealt with the epsilon-delta definition of things. Enjoyed the different approach as well, keep up the good work!

By Benjamin C

•Mar 19, 2018

Challenging, because begins with the infinite series, which are not a simple concept. Once complete, a much higher level of mathematical understanding is achieved.

By Harshini s

•Jun 29, 2020

The order of growth lecture is extremely unclear and lacks sufficient information. Tt can be made more elaborate and a couple more examples would really help.

By Anna G

•Aug 07, 2017

A good course but quire difficult and definitely requires a strong calculus foundation. The weird rhythm of the professor speaking is somewhat distracting.

By Alex O

•May 11, 2020

High quality and entertaining videos. Correcting some organizational mistakes (like current links to textbook) would make this a five star class.

By Dr. T V R

•Dec 27, 2016

I would like to have been able to review some quiz questions with answers after the course was complete. That option does not seem to exist.

By Harshavardhan

•Feb 26, 2018

The lectures on Big O (growth rates) are way too hard to comprehend, compared to the rest of the lectures. Please do try to simplify them.

By Ayanabha P

•Jul 20, 2020

It was a nice course. Learned quite a bit about calculus. slides designes was awesome. love to complete other courses by prof. ghriest.

By Ehsanul H R

•May 31, 2020

This is a very good course to understand the main theme of calculus. Though it was little bit hard I enjoyed the course.

By Jorge C

•Mar 18, 2020

Sometimes explanations are not complete enough to understand the problems. However, in general terms is a great course.

By Eduardo d R V

•Mar 12, 2020

Excelente curso. Sugestão: maior número de exemplos resolvidos poderia facilitar a compreensão o estudante.

By german l

•Sep 02, 2019

Excelente curso para volver a repasar los conceptos de calculo que estudiamos en la universidad.

By Bashir A

•Jan 18, 2019

the big O part is a bit ubiquitous. But everything else is amazingly described.

By Raphael z

•Apr 01, 2020

good course, not too hard. would like a little bit more of theory and proofs

By Yiwen W

•Dec 06, 2019

Videoes of the course is very good but some questions are little difficult.

By Roshan N

•Sep 24, 2018

Very Tough Part

Learn lots of things that I never know before

Thank You

By Minindu

•Feb 26, 2020

If there are man questions regarding the content it would be helpful.

By Timur S

•Mar 31, 2020

thanks great course! please, make about stability and dynamic system

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