Retour à Calculus: Single Variable Part 2 - Differentiation

4.8

477 notes

•

90 avis

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 second part--part two of five--we cover derivatives, differentiation rules, linearization, higher derivatives, optimization, differentials, and differentiation operators....

Feb 18, 2018

So much fun, and hits all sorts of things I'd always wanted to know. The homework took me a long time, so I didn't get to watch all the bonus lectures, but the ones I did were really interesting.

Feb 17, 2017

Not a class for someone with no calculus experience. However, if you have some calculus knowledge it will deepen your knowledge more than any other MOOC I have found. Truly a great course.

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par Pavel K

•Sep 07, 2019

Gives a new perspective on derivatives and the clear insight into how a simple calculator works

par Gabriel Q

•Mar 17, 2019

some interesting applications of even the most basics of calculus, also finally a way to truely understand the second derivate test

par Roshan N

•Oct 20, 2018

Thanks Mr. Ghrist for this course . I learnt many new concepts and mainly how to deal with problems by using visualization . Also understand why we are learning things and their applications. Again thanks a lot.

par Omar A K

•Sep 07, 2017

I am not giving 5 stars because of lack of proofs ! some topology i think is necessary to talk about calculus

par kanagaratnam j

•Jan 20, 2016

very need the lecture note

par 马包威

•Jun 13, 2017

easy to understand

par Alain P L

•Mar 15, 2017

Bonjour.

par Xiao L

•Nov 17, 2017

The bonus lectures are great! I majored in pure Mathematics in university, and I find them incredibly enlightening. One question, though. We have been taught several techniques to compute derivatives based on the derivatives of such simple function as sin(x), cos(x), and exponential. Shouldn't we learn how those basic derivatives are computed in the first place?

par Benjamin C

•Mar 19, 2018

Tough course, but a very fresh look at differential calculus.

par Salim S

•Jan 10, 2018

IT'S GIVE ME A DEEP UNDERSTANDING . THANK'S

par Bendeguz S

•Aug 10, 2019

Presentations are great, albeit some topics were neglected or were too short. Overall 8,5/10

par Sabina K

•Aug 27, 2017

The course is interesting, but it's major drawback is the lack of good answers or at least hints for quizes and exams.