Honors Thesis

Honors Thesis expectations are high. The intended end-product is a traditional research manuscript with accompanying artifact(s), all theses:

- are 6 credits or more of sustained research on a single topic, typically conducted over two semesters.

- begin with creative inquiry and systematic research.

- include documentation of substantive scholarly endeavor.

- culminate in an oral defense or other form of public presentation.

Honors Project

Honors Project expectations are high. The intended end-product is a traditional project manuscript with accompanying artifact(s), all projects:

- are 6 credits or more of sustained research on a single topic, typically conducted over two semesters.

- begin with creative inquiry and systematic research.

- include documentation of substantive scholarly endeavor.

- culminate in an oral defense or other form of public presentation.

Mathematical Modeling

We learn how to build, use, and critique mathematical models. In modeling we translate scientific questions into mathematical language, and thereby we aim to explain the scientific phenomena under investigation. Models can be simple or very complex, easy to understand or extremely difficult to analyze. We introduce some classic models from different branches of science that serve as prototypes for all models. Student groups will be formed to investigate a modeling problem themselves and each group will report its findings to the class in a final presentation.

Intro to Discrete Structures

This is a rigorous introduction to some topics in mathematics that underlie areas in computer science and computer engineering, including: graphs and trees, spanning trees, colorings and matchings, the pigeonhole principle, induction and recursion, generating functions, and (if time permits) combinatorial geometry. The course integrates mathematical theories with applications to concrete problems from other disciplines using discrete modeling techniques.

Complex Variables

Complex numbers and functions, analytic functions, complex integration, series, residues, conformal mappings. Applications: computation of real integrals, Dirichlet's boundary value problem and its application to physics and engineering. Prerequisite: MATH 233.
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