返回到 Calculus: Single Variable Part 2 - Differentiation

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

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67 个审阅

创建者 Lord Lawrence Abayan

•Nov 26, 2018

This course is good because there are challenging questions which helps you apply the concepts in calculus!

创建者 Aaditya Sanjay Kulkarni

•Nov 25, 2018

This course really helped me to learn various different skills to differentiate and developed my interest in calculus a lot..I really thank Sir Robert Ghrist from bottom of my heart for designing such a wonderful course for learners...

创建者 Gurvesh Sanghera

•Nov 07, 2018

Excellent material. The way Prof G ties things together is awesome! Do this course.

创建者 Roshan Nirmal

•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.

创建者 shahin samadov

•Oct 09, 2018

marvellous

创建者 Himanshu Babbar

•Oct 07, 2018

Excellent Course. Teaches you practical applications of differentiation.

创建者 K J

•Oct 05, 2018

Absolutely terrific course - really invaluable.

创建者 Shraavan Sivasubramanian

•Oct 03, 2018

Great for reviewing concepts! Techniques for evaluating complex limits and the Taylor series have been explained very well.

创建者 thanhthanh2502

•Sep 07, 2018

The content

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创建者 Brian Normann Andersen

•Jul 11, 2018

As with part I, a real benefit of this course is its quality practice problems. They require you to work. I usually spent at least 30 minutes per problem (sometimes hours at the extreme), so you end up accumulating a lot of practice, and it certainly pays. I haven't previously put much effort in math, and as a result I would often make errors in my derivations. Not only does this course expose you to a lot of methods and knowledge, but the sheer amount of practice has made me inherently less prone to errors. Which makes math a LOT more fun.