To support our site, Class Central may be compensated by some course providers.

Calculus: Single Variable Part 2 - Differentiation

University of Pennsylvania via Coursera

students interested
  • Provider Coursera
  • Subject Calculus
  • $ Cost Free Online Course (Audit)
  • Session Upcoming
  • Language English
  • Start Date
  • Duration 3 weeks long

Taken this course? Share your experience with other students. Write review

Overview

Sign up to Coursera courses for free Learn how

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.

Syllabus

A New Look at Differentiation
Think derivatives mean "slopes"? Not anymore... In this module, we will reconsider what a derivative is and means in terms of the asymptotic (or big-O) notation from the previous chapter. This will give us a new language for describing and understanding rates of change and the rules that govern them.

Putting Derivatives to Work
Why exactly are derivatives so central to calculus? In part, it is because they are so ubiquitously useful! In this module, we will recall a few core applications of derivatives. In so doing, we'll see exactly how having an understanding of the asymptotics assists in building applications of the derivative.

Differentials and Operators
There is much more to derivatives than simply their computation and applications. So much of how they arise is calculus is in the mysterious guise of *differentials*. These arise from implicit differentiation, which in turn reveals a deeper level of understanding of what differentiation means.

Taught by

Robert Ghrist

Help Center

Most commonly asked questions about Coursera Coursera

Reviews for Coursera's Calculus: Single Variable Part 2 - Differentiation
5.0 Based on 4 reviews

  • 5 stars 100%
  • 4 star 0%
  • 3 star 0%
  • 2 star 0%
  • 1 star 0%

Did you take this course? Share your experience with other students.

Write a review
  • 1
Ahmed E
5.0 2 years ago
by Ahmed completed this course.
Was this review helpful to you? Yes
Mark O
5.0 2 years ago
Mark completed this course.
Was this review helpful to you? Yes
Lesley L
5.0 2 years ago
Lesley completed this course.
Was this review helpful to you? Yes
Anestis K
5.0 2 years ago
by Anestis completed this course.
Was this review helpful to you? Yes
  • 1

Class Central

Get personalized course recommendations, track subjects and courses with reminders, and more.

Sign up for free

Never stop learning Never Stop Learning!

Get personalized course recommendations, track subjects and courses with reminders, and more.