Course Schedule and Catalog

Long Title: COMPUTATIONAL AND APPLIED MATHEMATICS SEMINAR

Department: *Computational & Applied Math*

Grade Mode: Standard Letter

Course Type: Seminar

Credit Hours: 1 TO 6

Description: This course prepares a student for research in the mathematical sciences on a specific topic. Each section is dedicated to a different topic. Current topics include eigenvalues, model reduction, combinatorial optimization, optimization algorithms, scientific computing, and numerical analysis. The topics may vary each semester. FALL 2014: We will introduce and study the most common Matrix Groups, prove the fundamental results of Representation Theory for Finite Groups and apply these findings to basic questions in Quantum Mechanics and network design in Theoretical Mechanics and Theoretical Computer Science. In particular, we will 1) characterize the full electronic spectrum of the buckyball, 2) construct a large class of Buckminister Fuller's tensegrities, and 3) construct expanders (large graphs that remain well connected and yet have relatively few edges). Recommended Prerequisite: One course in Linear Algebra. Graduate/Undergraduate Equivalency: CAAM 699. Repeatable for Credit.