About this course: Calculus Two: Sequences and Series is an introduction to sequences, infinite series, convergence tests, and Taylor series. The course emphasizes not just getting answers, but asking the question "why is this true?"
Created by: The Ohio State University
Taught by: Jim Fowler, Professor
Mathematics
| Commitment | 13 hours of videos and quizzes |
| Language | English, Subtitles: Chinese (Simplified) |
| How To Pass | Pass all graded assignments to complete the course. |
| User Ratings |
Syllabus
WEEK 1
Sequences
Welcome to the course! My name is Jim Fowler, and I am very glad that you are here.
In this first module, we introduce the first topic of study:
sequences. Briefly, a sequence is an unending list of numbers; since a sequence "goes on forever," it isn't en...
18 videos, 5 readings
Graded: Review for Sequences
WEEK 2
Series
In this second module, we introduce the second main topic of study: series. Intuitively, a "series" is what you get when you add up the terms of a sequence, in the order that they are presented. A key example is a "geometric series" like the sum of one-half,...
14 videos, 3 readings
Graded: Review for Series
WEEK 3
Convergence Tests
In this third module, we study various convergence tests to determine whether or not a series converges: in particular, we will consider the ratio test, the root test, and the integral test.
12 videos, 4 readings
Graded: Review for Convergence Tests
WEEK 4
Alternating Series
In this fourth module, we consider absolute and conditional convergence, alternating series and the alternating series test, as well as the limit comparison test. In short, this module considers convergence for series with some negative and some positive term...
15 videos, 2 readings
Graded: Review for Alternating Series
WEEK 5
Power Series
In this fifth module, we study power series. Up until now, we had been considering series one at a time; with power series, we are considering a whole family of series which depend on a parameter x. They are like polynomials, so they are easy to work with. ...
14 videos, 5 readings
Graded: Review for Power Series
WEEK 6
Taylor Series
In this last module, we introduce Taylor series. Instead of starting with a power series and finding a nice description of the function it represents, we will start with a function, and try to find a power series for it. There is no guarantee of success! Bu...
12 videos, 2 readings
Graded: Review for Taylor Series
WEEK 7
Final
The final exam is your opportunity to demonstrate everything you have learned in our time together. You have nearly reached the end of the course. Let me tell you that it has been my honor and my pleasure to be one of your guides through mathematics. I very...
Graded: On-Demand Final Examination
How It Works
Coursework
Each course is like an interactive textbook, featuring pre-recorded videos, quizzes and projects.
Help from Your Peers
Connect with thousands of other learners and debate ideas, discuss course material, and get help mastering concepts.
Creators
The Ohio State University
The Ohio State University is one of the largest universities in the United States. It's also home to a diverse group of the best and brightest people in the world: dedicated faculty, passionate students, and innovative researchers who make Ohio State one of the world's truly great universities.
Ratings and Reviews
Coursera provides universal access to the world’s best education, partnering with top universities and organizations to offer courses online.
© 2016 Coursera Inc. All rights reserved.
