University of Pennsylvania
Calculus: Single Variable Part 1 - Functions
University of Pennsylvania

Calculus: Single Variable Part 1 - Functions

Taught in English

Some content may not be translated

136,778 already enrolled

Course

Gain insight into a topic and learn the fundamentals

Robert Ghrist

Instructor: Robert Ghrist

4.7

(2,112 reviews)

13 hours to complete
3 weeks at 4 hours a week
Flexible schedule
Learn at your own pace

Details to know

Assessments

20 quizzes

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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 readings1 quiz

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 quizzes

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 quizzes

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 quizzes

Instructor

Instructor ratings
4.7 (410 ratings)
Robert Ghrist
University of Pennsylvania
5 Courses180,576 learners

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