Such techniques include transform methods, Fourier analysis, special functions, orthogonal polynomials, linearization, conformal mappings and finite element methods. It is recommended that students contemplating study in applied mathematics have undergraduate training in differential equations, linear algebra and a year of analysis or applied mathematics. The mathematics concentration allows students to gain exposure to a wide range of courses in the areas of real and complex analysis, topology, linear algebra, number theory, combinatorics and abstract algebra. Students wishing to prepare for a Ph.D. program in mathematics can build a solid foundation through an appropriate selection of courses offered by the department. The operations research concentration courses cover topics such as decision and risk analysis, multiattribute utility theory, linear programming, network methods, integer programming, dynamic programming stimulation and queueing theory.
Emphasis is placed on mathematical techniques as well as practical applications.
Depending on their interests, students can take additional courses in mathematics, computer science, statistics, management science or economics. It is recommended that students contemplating study in operations research have a background that includes multivariate calculus, linear algebra and probability. Students enrolled in the statistics concentration are offered courses in both statistical theory and methodology. These include mathematical statistics, statistical methods, nonparametric statistics, Bayesian analysis, regression theory and applications, discrete multivariate analysis, sampling and statistical computing. It is recommended that students contemplating study in statistics have a background that includes three semesters of calculus, including multivariate calculus, and courses in linear algebra, probability and statistics.