**关于此课程： **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?"

**关于此课程： **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?"

**教学方：**Jim Fowler, PhD, Professor

承诺学习时间 | 13 hours of videos and quizzes |

语言 | English, 字幕： Chinese (Simplified) |

如何通过 | 通过所有计分作业以完成课程。 |

用户评分 |

授课大纲

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 视频, 5 阅读材料

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 视频, 3 阅读材料

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 视频, 4 阅读材料

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 视频, 2 阅读材料

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 视频, 5 阅读材料

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 视频, 2 阅读材料

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...

常见问题解答

运作方式

课程作业

每门课程都像是一本互动的教科书，具有预先录制的视频、测验和项目。

来自同学的帮助

与其他成千上万的学生相联系，对想法进行辩论，讨论课程材料，并寻求帮助来掌握概念。

制作方

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.

评分和审阅

已评分 4.8，总共 5 个 752 评分

Loved this class!

Sir, your style of explaining is awesome. If someone needs to learn how to teach, he/she should watch your way of explaining things. Your enthusiasm for teaching is just way out of any other teacher's limit! Respect for you sir.

JL

excellent

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AL

Good, but Not as accessible as Calculus One as for some abstract concepts, for math amateurs like me. I am still confused where I can put what I learned in this course into practice. But I want to learn more about sequences and series using other resources.