subject

Coursera: Calculus: Single Variable Part 1 - Functions

 with  Robert Ghrist
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 first part--part one of five--you will extend your understanding of Taylor series, review limits, learn the *why* behind l'Hopital's rule, and, most importantly, learn a new language for describing growth and decay of functions: the BIG O.

Syllabus

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 want to readjust your expectations: this is a very hard class...

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?

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, but it's all just working with polynomials....

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 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.

6 Student
reviews
Cost Free Online Course (Audit)
Pace Upcoming
Subject Calculus
Provider Coursera
Language English
Certificates Paid Certificate Available
Calendar 4 weeks long
Sign up for free? Learn how
+ Add to My Courses
Learn Data Analysis udacity.com

Learn to become a Data Analyst. Job offer guaranteed or get a full refund.

Advertisement
Become a Data Scientist datacamp.com

Learn Python & R at your own pace. Start now for free!

Advertisement
FAQ View All
What are MOOCs?
MOOCs stand for Massive Open Online Courses. These are free online courses from universities around the world (eg. Stanford Harvard MIT) offered to anyone with an internet connection.
How do I register?
To register for a course, click on "Go to Class" button on the course page. This will take you to the providers website where you can register for the course.
How do these MOOCs or free online courses work?
MOOCs are designed for an online audience, teaching primarily through short (5-20 min.) pre recorded video lectures, that you watch on weekly schedule when convenient for you.  They also have student discussion forums, homework/assignments, and online quizzes or exams.

6 reviews for Coursera's Calculus: Single Variable Part 1 - Functions

Write a review
1 out of 3 people found the following review useful
a year ago
Ahmed Elashry completed this course.
Was this review helpful to you? YES | NO
0 out of 2 people found the following review useful
a year ago
profile picture
Lesley Lai completed this course.
Was this review helpful to you? YES | NO
0 out of 2 people found the following review useful
a year ago
profile picture
Shmavon Gazanchyan completed this course.
Was this review helpful to you? YES | NO
Was this review helpful to you? YES | NO
8 months ago
profile picture
Mark Oloughlin completed this course.
Was this review helpful to you? YES | NO
7 months ago
Maxweel Carmo completed this course.
Was this review helpful to you? YES | NO

Write a review

How would you rate this course? *
How much of the course did you finish? *
Review
Create Review