返回到 Calculus: Single Variable Part 1 - Functions

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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

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.

KR

Aug 18, 2020

Very good and challenging material! This motivated me to do better in my Calculus Courses. Would definitely have more of these courses soon, as this is suited for higher mathematics in college.

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創建者 Hayk M

•Sep 15, 2019

Overall, the course is very useful and well structured. I think in some parts of the videos, other methods of explanation should have been chosen in order to allow students to grasp the content of the course easily.

創建者 I.W.

•Dec 28, 2018

This was great, thank you! The only thing that would be useful is solutions to missed problems after the assignment has been completed because it's hard to know what you did wrong when you are working by yourself.

創建者 Utkarsh R

•Jan 09, 2016

Feeling calculus!

I'm loving this series of lectures. If you have taken any basic calculus course before, this is the perfect course.

I wish to thank Professor Ghrist and University of Pennsylvania for this course.

創建者 Oscar O

•Jul 28, 2020

It is a Masterful creation of Dr Ghrist......deserves even more stars.....not easy, lots of work , challenging but rewarding in every way.....Thanks Dr Ghrist.....(and forum course Mentors as well!!!).....

創建者 Abdulla A

•May 26, 2019

Wonderful course delving into the basics of calculus. I loved the explanatikon and colors. Although I am still not sure about Orders of growth, everything else was explained perfectly and enthusiastically.

創建者 Leonardo G

•Apr 13, 2020

Fue una grandiosa experiencia, los ejercicios me permitieron afianzar mis conocimientos en el cálculo y desarrollar habilidades como resolución de problemas en el abordaje de las situaciones de reto.

創建者 Mengyun Z

•Jun 14, 2016

The lectures are delivered in a clear and straightforward manner. Videos do a good job in walking me through the key points related to the topic. And the exercises were well designed to capture the

創建者 Karl R d C R

•Aug 18, 2020

Very good and challenging material! This motivated me to do better in my Calculus Courses. Would definitely have more of these courses soon, as this is suited for higher mathematics in college.

創建者 Vishvas H P

•May 31, 2020

The course is awesome ,I learn lot from this course . Taylor's series and its applications to find limits is very good. Big-O is very useful. Thanks for giving such a wonderful course.

創建者 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.

創建者 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.

創建者 Joseph E 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.

創建者 Yan X

•Jul 27, 2020

Very good refresh course for calculus. Content could be tough and require a lot of thinking. But I learned a lot or reviewed a lot about the calculus concept in my college year.

創建者 Edwin L

•Aug 02, 2020

Wonderful course. I can't even remember when was the last time that I was challenged in this way. Congratulations. Great content, great videos, great practice, great challenges.

創建者 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.

創建者 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!

創建者 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..:)

創建者 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

創建者 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.

創建者 Sheng X

•Sep 02, 2020

I learned a lot from this course.With animation to explain the formula,makes it easily to be understood.The learning of calculus laid the foundation for my future study.

創建者 Dl M

•Aug 08, 2020

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.

創建者 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.

創建者 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.

創建者 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.