
Math 303 (Abstract Algebra): How can we understand symmetries from a standard frame of reference? How are the integers fully described? This course explores these questions and teaches us how structure can be given to algebraic objects.

Math 305 (Introduction to Analysis): We learn how to fully understand limits and how to prove the theorems that we learn in calculus.

Math 316 (Probability): Probability is the branch of mathematics concerned with the study of mathematical techniques for making quantitative inferences about uncertainty. This course will develop an understanding of mathematical probability and its applications. Topics include probability systems, properties and distributions of random variables, stochastic processes and applications to several areas.

Math 362 (Modern Geometry): Rigorous development of Euclidean and hyperbolic geometry from both a metric and synthetic point of view. Some topics in transformational geometry are also covered.

Math 311 (Complex Analysis): Students explore the theory of functions defined in the complex plane, highlighting the interplay between geometric visualization and analysis. Topics include the geometry of analytic mappings, power series, Cauchy's Theorem, and the Residue Theorem. Connections to other areas of mathematics and to other scientific fields will be explored through applications.

Math 321 (Graph Theory & Combinatorics): Topics in graph theory include basic properties of graphs, Eulerian trails, Hamilton chains, trees, and may include the chromatic polynomial, planar graphs, and the independence number. Topics in combinatorics include the pigeonhole principle, permutations and combinations, the binomial theorem, and may include generating functions, Catalan numbers, and Stirling numbers.

Math 331 (Numerical Analysis): Theory and applications of numerical techniques. Topics will include error analysis, solution of nonlinear equations and systems of equations, interpolation, approximation, numerical integration and differentiation and numerical solution of initialvalue problems.

Math 348 (Modern Data Science with R) Students use theory together with programming and statistical methods to develop the capacity to create new and unique models, visualizations, and/or solutions in databased multidisciplinary investigations into problems from a variety of fields.

Math 397 (Junior Seminar): Engage in problemsolving with a goal of developing a research project for the Research Experience course.

Math 39810 (Research Experience in Mathematics): Research is designed to give you insight into how mathematicians work and think. In particular, you will gain an enjoyment of discovering and exploring mathematics for yourself. To this end, we highlight that mathematics is a current and vibrant subject. In addition, you will learn to effectively communicate mathematical ideas both through writing and oral presentation.

Math 480 (Connections in Advanced Mathematics): Study of connections and relationships among various disciplines within mathematics. Specific content varies. Topics may include, but are not limited to, the following: historical development of mathematics and various philosophies of mathematics, cultural similarities and differences in viewpoints and developments in mathematics, crossdiscipline approaches that combine subdisciplines such as probability techniques in number theory and random graph theory, field theory and geometric constructions, and algebraic topology.

Math 498499 (Capstone): Students reflect on the field of mathematics via an integrative project developed in concert with a faculty mentor. Students analyze mathematical ideas related to their projects and integrate this knowledge with ideas learned in the mathematics curriculum.