In the Spring 2019 semester I intend to run a 3hr course which meets from 4:20-5:50pm on Monday and Friday. I intend to post the Lectures from this course at:

Note, the title of the course does not indicate that this course involves honest to goodness "research". In truth, this is a small section special topics course. Although, this might be a course you would find at any number of universities which a larger selection of the math curriculum.

The particular structure of this course intends to fill a gap I percieve in the required course load of our Mathematics major. In particular, we will study elementary topology and the rudiments of basic measure theory in this course. We'll cover a lot of ground and I will not prove most theorems that are given. Our goal here is more geared towards gaining some intuition for the topics covered as well as an appreciation of the difficulty and necessity for the constructions considered. In short, this is not intended to replace a graduate level course in Topology or Real Analysis. Rather, we hope to provide a foundation which allows students to deeply understand the graduate courses which cover Topology and Analysis.

The texts I intend to primarily follow are:

*Introduction to Topology*, 2nd edition by Gamelin and Greene, available from Dover Publishers.*Real Analysis: Measure Theory, Integration and Hilbert Spaces*, by Stein and Shakarchi, Princeton Lectures in Analysis III, Princeton University Press.

I should mention, in Spring of 2016 I ran a small course in basic Topology from Manetti's text. At the conclusion of the course I gave a couple talks about supermanifolds and we actually created a new example. The course planner and You Tube videos from that course are linked below.

- Course Planner can write in homework numbers as course unfolds.
- You Tube Playlist I try to post each Lecture here soon after it is given

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Last Modified: 1-3-2019