Mathematics (Grad)

An examination of core high school mathematics content and problems from a mathematically advanced standpoint: looking at alternate definitions, language, and approaches, and exploring connections between topics usually studied separately. Topics selected from among congruence, distance and similarity, trigonometry, area and volume, axiomatics, and Euclidean geometry. Emphasis is placed on problem solving both individually and collaboratively. Prerequisites: One year of calculus and at least one proof or algebraic structure course such as Linear Algebra, Abstract Algebra, or Real Analysis. [ 3 credits ]

An integration of the study of discrete mathematics (sets, logic, counting) and probability with reflection on the teaching and learning of these concepts in the spirit of the NCTM's Principles and Standards of School Mathematics. Mathematical content includes sets and their operations, logical connectives and quantified statements, types of mathematical arguments and proofs, counting techniques, the probability of simple and compound events, sample spaces, probability distributions, and the use of simulations to generate data for determining probabilities and to test conjectures. Graphing calculators are used throughout the course. [ 3 credits ]

Covers concepts of testing for use in professional sciences, including simple linear regression, correlation, multiple regression, fixed and random effects, analysis of variance, analysis of covariance, experimental design, multivariate methods and various statistical packages, including R. Prerequisite: MAT-576. [ 3 credits ]

Provides an application-oriented introduction to the modeling techniques used to structure the way we think about managerial decision situations. Methodologies considered include decision analysis, simulation, optimization and sensitivity analysis. Stochastic models are developed with applications to finance, operations management, logistics and resource allocation. [ 3 credits ]

Explores various graduate level topics in Mathematics. Topic will change each offering of the course and will be noted. Variable credit. [ 1 - 4 credits ]