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.

Theory Of Numbers

Basic properties of the positive integers including congruence arithmetic, the theory of prime numbers, quadratic reciprocity, and continued fractions. Theory applied to develop algorithms and computational techniques of computer science and to cryptography. To help learn these materials, students will be assigned computational projects using computer algebra software. Prerequisite: MATH 233 and 235. Math 300 or COMPSCI 250 as a co-requisite is not absolutely necessary but highly recommended.

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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