Calculus: Single Variable Part 1 - Functions(으)로 돌아가기

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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

2018년 7월 2일

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

2021년 2월 9일

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.

필터링 기준:

교육 기관: Carlene S d F

•2021년 4월 26일

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.

교육 기관: Rob G

•2020년 10월 5일

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!!

교육 기관: Robert B M

•2020년 2월 19일

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!

교육 기관: Gabriela M F

•2020년 9월 12일

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

교육 기관: Justin L

•2021년 5월 8일

It was good but challenging. The only reason I only gave it 4 stars and not 5 is that I felt that some things could have been given a little more explanation, and also I feel that you will want to be reasonably comfortable with calculus already. For me, it has been 30+ years since I studied any calculus formally, and so a lot of the calculations and work was hard, as it was assumed knowledge. But these limitations or issues aside, the professor is a good teacher, and whilst I was thrown in the deep end, I gained and learned quite a lot.

교육 기관: Wahl S

•2017년 9월 11일

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 :)

교육 기관: SIngular S

•2019년 12월 17일

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.

교육 기관: Stephanie P

•2020년 4월 27일

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.

교육 기관: aihui

•2018년 1월 6일

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.

교육 기관: Igor T

•2017년 7월 16일

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.

교육 기관: Dmitry P

•2018년 10월 7일

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.

교육 기관: Fu-Cheng C

•2020년 8월 28일

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.

교육 기관: Todor B

•2016년 6월 19일

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.

교육 기관: Khánh L T T

•2022년 8월 2일

I wish there were solutions for those exercises and challenges, some are very tough to me and I can't understand even after reading all discussions in forum...However, thanks a lot for lessons in this course, this partly help me in learning Calculus!

교육 기관: Khang N

•2021년 6월 28일

The course is well design and informative. However, there should be a list of recomended textbooks. The text included in this course is a site which is unreable due to the format. All the formulas and examples are out of fornt and cannot be read.

교육 기관: Javier V L d M

•2017년 11월 4일

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

교육 기관: Sai M

•2021년 1월 7일

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.

교육 기관: Junaise

•2016년 4월 24일

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.

교육 기관: Sonia C

•2021년 4월 11일

content is amazing and the practice questions are very challenging. Many thanks to professor Ghrist for the high quality, but it would be nice to add videos solving some of the harder questions in the homework session.

교육 기관: Vashurin R

•2016년 4월 25일

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.

교육 기관: Daniel

•2020년 7월 26일

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.

교육 기관: Nisarg K

•2016년 2월 23일

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.

교육 기관: Yusuf F

•2020년 9월 20일

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.

교육 기관: Weinan H

•2017년 7월 14일

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.

교육 기관: Aditya T

•2020년 8월 14일

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.

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