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

136,203 already enrolled

Course

Gain insight into a topic and learn the fundamentals

Robert Ghrist

Instructor: Robert Ghrist

4.7

(2,100 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

See how employees at top companies are mastering in-demand skills

Placeholder

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 (405 ratings)
Robert Ghrist
University of Pennsylvania
5 Courses179,707 learners

Offered by

Recommended if you're interested in Math and Logic

Why people choose Coursera for their career

Felipe M.
Learner since 2018
"To be able to take courses at my own pace and rhythm has been an amazing experience. I can learn whenever it fits my schedule and mood."
Jennifer J.
Learner since 2020
"I directly applied the concepts and skills I learned from my courses to an exciting new project at work."
Larry W.
Learner since 2021
"When I need courses on topics that my university doesn't offer, Coursera is one of the best places to go."
Chaitanya A.
"Learning isn't just about being better at your job: it's so much more than that. Coursera allows me to learn without limits."

Learner reviews

Showing 3 of 2100

4.7

2,100 reviews

  • 5 stars

    80.04%

  • 4 stars

    15.34%

  • 3 stars

    2.37%

  • 2 stars

    0.66%

  • 1 star

    1.56%

AT
4

Reviewed on Aug 13, 2020

YG
5

Reviewed on Jul 2, 2018

NK
4

Reviewed on Feb 22, 2016

Placeholder

Open new doors with Coursera Plus

Unlimited access to 7,000+ world-class courses, hands-on projects, and job-ready certificate programs - all included in your subscription

Advance your career with an online degree

Earn a degree from world-class universities - 100% online

Join over 3,400 global companies that choose Coursera for Business

Upskill your employees to excel in the digital economy

Frequently asked questions