Final Project Guidelines

This is to be an individual project, which will be turned in (in various stages) as a preliminary bibliography and abstract, a preliminary organizational plan, and a presentation and a final annotated bibliography. Graduate students will also turn in a written report. The topic choices will be limited on a first-come-first-served basis, so get them approved by Dr. Sarah by posting a message to the WebCT bulletin board (NOT email!)

Writing an abstract is an important part of giving a talk. An abstract for a talk should be thought of as an advertisement of the talk content that others can read in order to decide whether they wish to attend. At conferences, there are often many talks that occur at the same time. Hence, people use abstracts to decide which talk to attend from among possibly many talks that they are interested in at the given time. Conference abstracts are usually due many months before a conference. Hence, it is not imperative that you follow the abstract exactly when presenting the talk, since many people find that by the time they prepare their talk, related but new material is of interest. An abstract should be your best guess of what you will talk about in the allowed space. It should also include some big picture ideas that discuss the importance and relevance of your talk content and place it into the bigger context of related fields. Abstracts are usually a few paragraphs long, and sometimes have space limitations on the number of characters or words. Your abstract will be less than 250 words. While the final talk may well be different, the abstract should be at least loosely adhered to since otherwise talk attendees will be confused and sometimes angry that the talk was unrelated to what you said it would be. After all, attendees are giving their valuable time to you, and might instead have chosen a different talk. The first step in writing an abstract is to choose a title. The title should be chosen carefully to summarize the content of your talk. Some people may not read the abstract (it is sometimes published in a separate book from the schedule), and may use only the title in order to decide whether they will attend.

Here is an example of one of my abstracts:
Good News
Everyone! Mathematical Morsels from *The Simpsons* and *Futurama*

Here is an example of an abstract by Robert Ghrist on Barcodes: The Persistent Topology of Data

Your **preliminary organizational plan - Friday April 27th**
must explain how you will
present your project and must contained a detailed talk outline. You will
post this to the WebCT bulletin board and I will
respond to your message with comments and suggestions for improvement.
Your final project will be a 15-20 minute presentation.
You may present your project on the blackboard, on transparencies, or
as a powerpoint, pdf, or other digital presentation.

Speaker Guidelines A quote:

Your presentation should include the following:

Topics from the books we have not covered in class

Non-orientable surfaces - Projective space, Klein bottle...

Classification of closed orientable surfaces

Euler's formula and topological invariants

Knots and links

Topology in biology

Topology in chemistry

Topology and economics

Topology and electric circuit design

Topology of the internet

Topology and robotics

Topology and the shape of the universe

The Poincare conjecture

Barcodes: The Persistent Topology of Data

I am happy to give you feedback if you bring your work into office hours.