Class Info

  • Date: Mon Nov 20 & Mon Nov 27
  • Meeting Info: 10a-11:40a, N719

Announcements

WebWork:

  • “Series – Infinite Series” – due Fri Dec 1
  • additional WebWorks on infinite series will be assigned as we cover the topics in class, so please keep up with the WebWork!

Topics

On Monday Nov 20, we went over Exam #2, and then introduced the last topic we will cover this semester–infinite series, i.e., infinite sums. We introduced “Sigma” notation, partial sums, and the idea of convergence/divergence (covered in Sec 5.2 of the textbook):

We made a connection to improper integrals–this is the “integral test” for convergence/divergence:

We went through some of the exercises from the WebWork, introducing partial sums:

On Mon Nov 27, we continued with these topics:

We talked about how convergence of an infinite series is defined in terms of the partial sums:

We then discussed geometric series:

Here is the passage from the textbook that defines geometric series, with an example:

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