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.

Foundational material in mathematical finance. Course covers interest rates, annuities, bonds, forwards, futures, options and other derivative securites. (Basis of actuarial exam in financial math exam fm/2).

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.

Introduction to groups, rings, fields, vector spaces, and related concepts. Emphasis on development of careful mathematical reasoning. Prerequisites: MATH 235 or 236; MATH 300 or consent of instructor.

Introduction to groups, rings, fields, vector spaces, and related concepts. Emphasis on development of careful mathematical reasoning. Prerequisites: MATH 235 or 236; MATH 300 or consent of instructor.

Introduction to groups, rings, fields, vector spaces, and related concepts. Emphasis on development of careful mathematical reasoning. Prerequisites: MATH 235 or 236; MATH 300 or consent of instructor.

This course is about how to write and use a modern programming language to explore and solve problems in pure and applied mathematics. We will use Python, and the first part of the course will review core language features and apply them to problems in mathematics. We will introduce specialized mathematical packages such as numpy. The remainder of the course---and its goal---is to help students develop the skills to translate mathematical problems and solution techniques into algorithms and code. Students will use code to solve and explore mathematical questions in several project areas.

This course is about how to write and use a modern programming language to explore and solve problems in pure and applied mathematics. We will use Python, and the first part of the course will review core language features and apply them to problems in mathematics. We will introduce specialized mathematical packages such as numpy. The remainder of the course---and its goal---is to help students develop the skills to translate mathematical problems and solution techniques into algorithms and code. Students will use code to solve and explore mathematical questions in several project areas.

Not available at this time

This is a stand-alone independent study designed by the student and faculty sponsor that involves frequent interaction between instructor and student. Qualitative and quantitative enrichment must be evident on the proposed contract before consent is given to undertake the study.