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Calculus: Single Variable Part 1 - Functions
Course
en
English
Subtitles available
24 h
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- Self-paced
- Free Access
- Fee-based Certificate
- 4 Sequences
- Introductive Level
- Subtitles in Spanish, Chinese
Course details
Syllabus
- Week 1 - Introduction
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 wan... - Week 2 - A Review of Functions
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 is the exponential function? - Week 3 - Taylor Series
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, ... - Week 4 - Limits and Asymptotics
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 newf...
Prerequisite
None.
Instructors
Robert Ghrist
Professor
Mathematics and Electrical & Systems Engineering
Editor
The University of Pennsylvania (commonly known as Penn), founded in 1740, is a private university located in Philadelphia, Pennsylvania, USA. A member of the Ivy League, Penn is the fourth oldest institution of higher learning in the United States and considers itself the first university in the United States to offer both undergraduate and graduate degrees.
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