Chevron Left
Calculus: Single Variable Part 1 - Functions に戻る

Calculus: Single Variable Part 1 - Functions, ペンシルベニア大学(University of Pennsylvania)



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....


by 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.

by RH

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.




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 Luis Ydler

May 11, 2019

Well explained and demanding.

by r

May 09, 2019

It's really interesting and helpful !

by Michael Cosgrove

May 03, 2019

Great course.

by Audrey

Apr 30, 2019

a little bit difficult but worth learning!

by Benjamin Steavenson

Apr 08, 2019

Amazing course! I took Calc 1 and 2 way back when and plan to attend college again starting this summer to earn another degree. Being Engineering, I wanted to brush up on my calc 1 and 2 before I dive into DiffEQs and Linear Algebera and this course did just that for me. The best part about it was that he assumes you alerady have a basic understanding of the material so its not like starting from square 1.

by SG Cassiere

Apr 07, 2019

Interesting starting point for calculus which makes intuitive sense. The visuals in the lectures are excellent, specifically on the explanation of limits. Taking this course is akin to reading a spy thriller book, the farther one goes the more intriguing it gets.


Mar 26, 2019

Very interesting course for to learn new forms for to watch the limits using the Taylor Series and the High Order Term and big O concept are very interesting form to see the functions

by 李松涛

Mar 23, 2019


by Mike

Mar 20, 2019