500

This course offers an intermediate treatment of the theory and application of linear algebra. The goal of this course is to provide a framework for applying linear algebra to a variety of mathematical problems. Topics include vector spaces, linear transformations, diagonalization, inner product spaces, Markov Chains, and the Jordan canonical form. There is an emphasis on understanding and writing proofs.

This course is a study of algebraic structures and major theorems for these. Group theory and ring theory are reviewed and further developments are presented. An introduction to field theory and Galois theory is included.

This course is an advanced multivariate treatment of calculus for the mature student of mathematics. Course content will include advanced treatment of differentiation and integration as well as advanced topics including Fourier Series and special functions.

This course offers a rigorous study of the real numbers and associated functions in order to deepen students' understanding of calculus and raise their ability to effectively formulate and communicate mathematics. It reviews concepts of real-valued functions defined on the real line and proceeds to extend these results as applicable to complex valued functions and metric spaces. It also includes a rigorous examination of properties of some important special functions.

This applied statistics course presents a variety of statistical topics in the context of real world data. The goal of this course is to demonstrate the broad applicability of advanced statistical techniques. Topics include probability, inferences for one and two samples, analysis of single and multifactor experiments, regression analysis, and nonparametric methods.

This course offers a critical presentation of the development and philosophical significance of non-Euclidean geometry. The goal of this course is to advance understanding of Euclidean and non-Euclidean geometries, through analytic methods and critical thinking.