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.
Calculus: Single Variable Part 1 - Functions
Gain insight into a topic and learn the fundamentals.
4.7
(2,233 reviews)
14 hours to complete
3 weeks at 4 hours a week
Flexible schedule
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Assessments
21 assignments
Taught in English
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There are 4 modules in this course
Welcome to Calculus: Single Variable! below you will find the course's diagnostic exam. if you like, please take the exam. you don't need to score a minimal amount on the diagnostic in order to take the course. but if you do get a low score, you might want to readjust your expectations: this is a very hard class...
What's included
1 video2 readings2 assignments
This module will review the basics of your (pre-)calculus background and set the stage for the rest of the course by considering the question: just what <i>is</i> the exponential function?
What's included
3 videos1 reading4 assignments
This module gets at the heart of the entire course: the Taylor series, which provides an approximation to a function as a series, or "long polynomial". You will learn what a Taylor series is and how to compute it. Don't worry! The notation may be unfamiliar, but it's all just working with polynomials....
What's included
5 videos8 assignments
A Taylor series may or may not converge, depending on its limiting (or "asymptotic") properties. Indeed, Taylor series are a perfect tool for understanding limits, both large and small, making sense of such methods as that of l'Hopital. To solidify these newfound skills, we introduce the language of "big-O" as a means of bounding the size of asymptotic terms. This language will be put to use in future Chapters on Calculus.
What's included
4 videos1 reading7 assignments
Instructor
Instructor ratings
4.7 (459 ratings)
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Recommended if you're interested in Math and Logic
University of Pennsylvania
University of Pennsylvania
University of Pennsylvania
University of Pennsylvania
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4.7
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NR
5
Reviewed on Jul 10, 2018
It was a great journey with Calculus with the help of Coursera. i learned many things about Functions, Taylor series and Order of Growth. Thank you for creating such a great platfarm for us.
SW
5
Reviewed on Jun 1, 2018
This course is difficult, and sometimes is not easy to know how to correct the homework questions since there are no analysis of them and the answers in the forum are not quite complete.
KK
5
Reviewed on Jan 26, 2016
This module is fully exhaustive. You will also understand why we need series expansion of a function at a given point and its convergence and other applications. I enjoyed it thoroughly.
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