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Sun 10 Nov 2013 10:53 PM CET

The Final Examination

I've had a great time with you in Calculus Two: Sequences and Series. After six weeks together, it is time to take the final examination. It is worth 180 points (which is a significant portion of the 300 points possible in this course altogether) and you can take it twice. There are twenty questions, many of which reprise homework questions, but unlike the homework, there are no hints. You have until November 16th. I know you can do it.

Please feel free to use your textbook, to refer to the videos, or to discuss the ideas behind the problems. But please don't post solutions, because I want everybody to have a chance to see how they do on their own. I know you can do it.

~jim
Fri 8 Nov 2013 8:30 PM CET

Week 6: Taylor series

I can't quite believe it, but this is the last week of new content! This week, in Week 6 of Calculus Two: Sequences and Series, we'll introduce Taylor series; next week, we'll begin our final exam. You can jump into the new material by clicking here. Taylor series are a ton of fun, both computationally and conceptually. I hope you have a lot of fun working and thinking through the new ideas. And as always, please post your questions and concerns in the course forum. I very much enjoy getting the chance to talk about mathematics with you.

~jim
Fri 1 Nov 2013 9:15 PM CET

Week 5: Power Series

This is the beginning of the end: the last two weeks of our time together with be spent thinking about power series. This week, in Week 5 of Calculus Two: Sequences and Series, we'll introduce power series; next week, we finish the course with Taylor series. You can jump into the new material by clicking here.

If you have concerns or questions, please post in the course forum. I always appreciate hearing from you.

~jim
Fri 25 Oct 2013 8:00 PM CEST

Download all of Week 4 at once

Mon 21 Oct 2013 5:24 PM CEST

Week 4: Alternating series

We are now halfway through our six week journey together! Welcome to Week 4 of Calculus Two: Sequences and Series, in which we shift our attention away from series with nonnegative terms, and now consider series where some terms are positive and other terms are negative. You can jump into this new material by clicking here. And next week, Week 5, will be a significant departure; Week 4 is the last week that emphasizes convergence, so if you are eager for a brand new topic, we're just one week away from power series.

Please post your questions and suggestions in the course forum. It's always great to talk about mathematics.

looking forward to it,
~jim
Fri 18 Oct 2013 7:20 PM CEST

Download all of Week 3 at once

Fri 11 Oct 2013 9:24 PM CEST

Week 3: Convergence Tests

Last week, we studied series. Considering that we have now discussed both sequences and series, are we done? Not at all! This week, we'll study some “convergence tests” that simplify the task of determining whether or not a series converges. Such techniques will occupy our time during Week 3 of Calculus Two: Sequences and Series. You can jump into the new material by clicking here.

After this week, we'll be halfway done with the course. Next week, in Week 4, we'll look at series that involve both negative and positive terms; the last two weeks of the course will focus on power series, including Taylor series. Hang in there!

If you have questions about anything, please feel free to post your questions and concerns in the course forum. I very much enjoy getting the chance to talk to you in the forum. Your feedback helps me understand what works and what doesn't, so we'll be able to improve the course materials going forward.

thank you!
~jim
Fri 11 Oct 2013 6:30 PM CEST

Download all of Week 2 at once

Mon 7 Oct 2013 11:55 PM CEST

Week 2

Last week, we studied sequences. This week, we add up the terms in a sequence—such a sum is called a series, and is the main topic of Week 2 of Calculus Two: Sequences and Series. You can jump into the new material by clicking here.

I have very much enjoyed our conversations in the forum. Your feedback has led to many improvements in the course materials! Thank you.

I'll hold office hours this week. You can get questions to me by sending me an email, or by recording a video on YouTube and sending me a link, or by posting in the Office Hours forum. I'm looking forward to it.

wishing you all the best,
~jim
Fri 4 Oct 2013 7:31 PM CEST

Questions for Office Hours

I'd like to try something different with office hours for Calculus Two: as I suggest in  this YouTube video, I'll collect your questions and build an office hours video around them. You can get questions to me by sending me an  email, or by  recording a video on YouTube and sending me a link, or by  posting in the Office Hours forum. I'm looking forward to it!

If you can get video to me, I hope to include your videos in the office hours video.
Thu 3 Oct 2013 3:20 AM CEST

Welcome to Calculus Two: Sequences and Series

Today is day one of Calculus Two: Sequences and Series. You can jump into the class by clicking here.

My name is Jim Fowler, and I am very glad that you are joining us for Calculus Two. Please complete the initial course survey; your feedback will help me to customize the course. And please introduce yourself in the forum. I'm looking forward to getting to know you.

There might be some bumps along the way, but I'm excited to have you partnering with us. This course is a massive open course, and I really do mean open: you can find everything I used to build the course in the GitHub repository if you want to glance behind the scenes.

~jim
Fri 27 Sep 2013 8:46 PM CEST