371 Final Project
Here are a list of topics that might be chosen for a final project.
1.6 Metric Spaces - Yi Liu
3.3 Geometry of Quadratic Polynomials - Molly & Natalie
4.3 Generating Functions - Brittany & Jen
4.4 Fibonacci Numbers - Seamus
4.5 Power Series and Sums of Powers
4.6 Rationality - Risa
5.5b The Dirichlet Problem - Sam
5.6 Differential Forms
6.3 Goursat's Proof
7.3 Fourier Transforms - Susy & BethAnna
7.4 Gamma Function - Duncan
8.1 Max/min Theorem
8.3 Winding Numbers
8.4 Pythagorean Triples
8.5 Elementary Mappings
8.6 Quaternions
8.7 Higher Dimensions
Applications text:
I will try to keep this page updated once topics have been taken.
Students may work in pairs or as individuals on their final project.
There will be at most one group/topic. You are responsible for
submitting a detailed explanation of all the material in the section along
with a problem set from the section. For the problem set, your grade
will be scaled as a fraction of the total number of problems. Other
topics may be used, but they require my approval. This is on a
first-come basis. I will make no special accommodations for a
student who has no topics left they like, or wants a partner but cannot find
one. Finally I will also make no special accommodations for a student
whose partner drops the course.