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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

2. Juli 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

9. Feb. 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.\n\nThank you so much Prof. Ghrist.

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von hamid m

•26. Dez. 2020

it was a great class. i'm glad that i took it. i would recommend it

it was rather abstract; the problems were complicated and involved, emphasizing calculation rather than theory. the course has a narrow and limited focus

i realize the traditional route (calc 1, calc 2, calc 3, etc), however, there is another calc 1 class that was offered before this one that was completely different - different topics and emphasis on different subject matter. i would rather be able to take them both. i would like to take calc 1, this version, & calc 1, previous version. i don't see why the previous calc 1 class was replaced by this one

von Carlene S d F

•29. Apr. 2020

The Course is only worthwhile if you already have a sense of Calculus. I did not think that the material provided was sufficient to solve the problems of the course. Even though I already had exposure to Calculus and mathematical physics, I found some exercises quite difficult. If you are not from the hard sciences, this course may not be the most suitable. Khan Academy is more introductory. But at the beginning of the course there is a placement test to find out if the person is able or not to start the module. This can serve as a basis if the person has mastered the necessary prior knowledge.

von Rob G

•5. Okt. 2020

Some areas could use some review perhaps a pre-calculus- pre part 1. More worked examples would be nice. The worked examples could perhaps be provided as supplemental reading for those of us who could use the extra practice so these concepts really sink in. Finally i am still confused about Big O. I understand the concept well enough but needed more explanation when using the example functions. This seems like a topic that is not included in Calculus often so i am having trouble finding supplemental material. Thanks for putting this out to the public though!!

von Robert B M

•19. Feb. 2020

I genuinely enjoyed this course, which was more of a refresher for me, having taken several units of calculus for my undergraduate degree. The way in which the utility of the Taylor series was brought out was particularly interesting. The topics covering orders of growth & asymptotics, while familiar, were the parts I found most challenging. It might be nice in future iterations of the course if there were a discussion on graphs of the functions of interest alongside the topics covering orders of growth and asymptotics. All in all a great course!

von Gabriela F

•12. Sep. 2020

Before all, sorry about my english. I really enjoyed this course, and of course, I will get (if its possible) the following ones. I have a few difficuluts in some items. For example, I don not write using latex code, I think i will repass it. And, I can not read all the references in the forums. The most interesting was Penn Calc Wiki. I read some useful hings, but I can not read any example.

I only use the forums for reading other questions and answers, I was afraid of asking, but I think they are very useful.

Thans again for the oportunity

von Wahl S

•11. Sep. 2017

Overall statement: It is a very good course ! The videos are very nice, and Professor Ghrist gives a "cool" touch to this subject. But some exam questions do not refer to material treated in the video and some explainations are too fast. Several times on the discussion forum, it is referred to the Penn Calc Wiki, whis is not in the references so a bit hard to follow ! But I definitely learned much, so i am very grateful for this, Thanks Professor Ghrist, Thanks Penn, Thanks Coursera :)

von SIngular S

•17. Dez. 2019

I think it's a pre-calculus class, cause all the topic this class teaching are involved in calculus but not very deep, it's a broad content about calculus, I feel like I have learnt something but don't exactly know what degree is truly understand these knowledge and how these are connected together.Guessing it is a fresher's must-be stage,And really appreciate teacher for your clearly explanation and fabulous problems.

von Stephanie P

•27. Apr. 2020

The course was really and challenging. This class goes deeper into the Taylor Series than most Calc II classes and I have a much better understanding of the material. The only thing I would like to see is some of the problems, especially the challenge problems worked out,. Maybe supplied at the end of the course? The last section on Big O gave me some trouble and I would have loved more detailed explanations.

von aihui

•6. Jan. 2018

The lecture provides a different view on calculus compared to the similar lecture during my university and this lecture is much better absolutely. I can still remember the suffering when i took my calculus course even though that was 5 years ago! I've got some confidence back in math and thanks for this lecture.

von Igor T

•16. Juli 2017

1) For me, the pace was a bit too fast. Gladly, there is an option to postpone the deadlines.

2) Graphical representations helped a lot in understanding the topics.

3) As for the challenge homework, I didn't feel like there was enough material in the lectures to do those tasks.

von Dmitry P

•7. Okt. 2018

That's is really hard course. I think lecturer gives not enough information for doing homework. For example: big-O notation confuse me and I learn a lot of materials from another universities from web. Single web page for help that recommented in course is broken.

von Fu-Cheng C

•28. Aug. 2020

The course is fun and provides a different but enlightening perspective on calculus. The only negative aspect of the course would be that certain course mentors were not that friendly and may even be condescending. This discouraged me from asking questions.

von Todor B

•19. Juni 2016

The class is OK but keep in mind that your algebra should be refreshed before starting it. I did not refresh my pre calculus knowledge and I had hard time solving some if the task just because some straightforward simplification were long gone form my mind.

von Javier V L d M

•4. Nov. 2017

El curso fue muy interesante, la metodología fue clara y las explicaciones por parte del profesor fueron muy organizadas y coherentes. Pienso que en la función O grande hizo falta profunidzar y ejemplificar un poco más. Felicitaciones

von M S S P K

•7. Jan. 2021

Loved the course!!! Very interesting and a good refresher for learned concepts.

One suggestion: to explain week 1 with more examples especially functions. I felt the video lecture dropped me down a cliff while attending its quiz.

von Junaise

•24. Apr. 2016

Very nice classes and concept. The presentation was excellent. But the lectures are too short and to the point only and dosnt elaborated with variety of examples. The demonstrations with graph and Multimedia is excellent.

von Vashurin R

•25. Apr. 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.

von Daniel

•26. Juli 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.

von Nisarg K

•23. Feb. 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.

von Yusuf F

•20. Sep. 2020

There were certain advanced concepts that could have had a better and clearer explanation such as the “big O”. But on the whole it was a very good course and very much recommendable.

von Weinan H

•14. Juli 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.

von Aditya T

•14. Aug. 2020

Very insightful. However, I believe (although I may be wrong) that certain methods and techniques required to solve the homework problems weren't explained in the course material.

von Francisco A

•7. Juni 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!

von Mount N

•4. Sep. 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 ^_^

von Krishna P R

•20. Juni 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!

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