Calculus: Single Variable Part 2 - Differentiation

The Introduction to Robotics Specialization introduces you to the concepts of robot flight and movement, how robots perceive their environment, and how they adjust their movements to avoid obstacles, navigate difficult terrains and accomplish complex tasks such as construction and disaster recovery. You will be exposed to real world examples of how robots have been applied in disaster situations, how they have made advances in human health care and what their future capabilities will be. The courses build towards a capstone in which you will learn how to program a robot to perform a variety of

( 79 Reviews )

Created by: Robert Ghrist

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Overall Score : 96 / 100

Course Description

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.

Time: 14h

Instructor Details

Robert Ghrist

4.8 Rating
79 Reviews

Robert Ghrist is the Andrea Mitchell University Professor of Mathematics and Electrical & Systems Engineering at the University of Pennsylvania. Prof. Ghrist is an applied mathematician whose expertise consists of finding novel applications for previously un-applied branches of Mathematics to Engineering Systems. Examples include applications of algebraic topology to sensor networks, sheaf theory to optimization and network data, CAT(0) geometry to robot motion planning, and braid theory to dynamical systems. His work has been honored by Scientific American as a "SciAm50 Top for Research Innovation" in 2007 and a Presidential Early Career Award for Scientists and Engineers (PECASE) in 2004. The S. Reid Warren, Jr. Award was granted to Prof. Ghrist by Penn students in 2009 for exceptional teaching. Prof. Ghrist is the 2013 recipient of the Chauvenet prize, the highest award for mathematical expository writing.

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By Sabina K on 27-Aug-17

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

By Bendeguz S on 10-Aug-19

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

By Salim S on 10-Jan-18

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

By Benjamin C on 19-Mar-18

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

By Xiao L on 17-Nov-17

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?

By Alain P L on 15-Mar-17

Bonjour.

easy to understand

By kanagaratnam j on 20-Jan-16

very need the lecture note

By Omar A K on 7-Sep-17

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

By Roshan N on 20-Oct-18

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.

By Gabriel Q on 17-Mar-19