# Mathematics

BRIN, LEON Q., Professor and Chairperson

CLARK, AARON, Professor and Graduate Coordinator

HARTOG, MARTIN D., Professor and Certification Coordinator

BENNETT, THERESE, Professor

BRIN, LEON Q., Professor

CARRIGAN, BRAXTON, Assistant Professor

D'AMOUR, ALAIN, Professor

DIAMANTIS, MARIA, Professor

FIELDS, JOSEPH, Professor

GINGRICH, ROSS, Associate Professor

HONG, JOOYOUN, Associate Professor

KAVANAGH, JOHN P., Professor

KRUCZEK, KLAY, Associate Professor

MUGNO, RAYMOND, Professor

NABBOUT-CHEIBAN, MARIE, Associate Professor

PINCIU, VALERIU, Professor

SCHEUERMANN, JOHN, Assistant Professor

VADEN-GOAD, ROBERT E., Associate Professor

## MAT 508 - Technology-Enriched Mathematics InstructionTechnology tools for the math teacher for lesson preparations and presentations. Techniques for integrating dynamic computer software applications and the graphing calculator and its applications in teaching. Designing technology-based activities for mathematics instruction. Graphing calculator required. Scheduled summer semesters of even years. Prerequisite(s): MAT 151. 3 credit(s). Last Term Offered: Summer 2016 |

## MAT 514 - Teaching Mathematics to Accelerated Students and Low AchieversCharacteristics and needs of low achievers and accelerated students in mathematics, and methods of effectively teaching these two student populations. Scheduled summer semesters of even years. 3 credit(s). Last Term Offered: Summer 2016 |

## MAT 518 - Technology-Enriched Mathematics Instruction IITechniques for creating new tools and using advanced options in dynamic software, writing and using calculator programs to enhance mathematics instruction, and designing inquiry-based activities using technology for mathematics instruction. Graphing calculator required. Scheduled summer semesters of odd years. Prerequisite(s): Grade of “C” or higher in MAT 508. 3 credit(s). Last Term Offered: Summer 2013 |

## MAT 525 - Probability and Statistics (Certification Program)Descriptive statistics; introduction to probability theory; probability and sampling distributions; hypothesis testing and estimation; non-parametric tests. Scheduled fall semesters of even years. 4 credit(s). Last Term Offered: Fall 2016 |

## MAT 526 - Probability and Applied Statistics IILinear regression and correlation, analysis of variance and applications. Scheduled spring semesters of odd years. Prerequisite(s): Grade of “C” or higher in MAT 525 or depa rtment permission. 3 credit(s). Last Term Offered: Spring 2017 |

## MAT 527 - Design of ExperimentsThe course introduces the fundamental concepts in the design of experiments and categorical data analysis” review of statistical inference, completely randomized designs, randomized block designs, Latin Square designs, factorial experiments, confounding and fractional replications, analysis of contingency tables, and tests for independence. 3 credit(s). Last Term Offered: not yet offered |

## MAT 528 - Mathematical Foundations of Machine LearningThis course gives a broad introduction to machine learning through basic programming and probability theory. Topics to be covered include classification, support vector machines, neural networks, clustering, feature selection, ensemble learning, and reinforcement learning. The courses will discuss applications of machine learning to various fields including computer science, data mining, and bioinformatics. 3 credit(s). Last Term Offered: not yet offered |

## MAT 529 - Introduction to Stochastic ProcessesThe course introduces concepts in stochastic processes and stochastic modeling in a nonmeasure theoretic manner. Topics include Poisson process, renewal theory, queueing theory, Markov chains, martingales, and Brownian motion. 3 credit(s). Last Term Offered: not yet offered |

## MAT 530 - Foundations of GeometryAn axiomatic development of Euclidean and non-Euclidean geometries. Scheduled spring semesters. Prerequisite(s): Grade of 'C' or higher in MAT 250. 3 credit(s). Last Term Offered: Fall 2015 |

## MAT 541 - Topics in Real AnalysisSequences, Bolzano-Weierstrass Theorem, and foundations of functions of one real variable that include limits, continuity, Intermediate Value Theorem, differentiability, Mean Value Theorem, Riemann integral, Fundamental Theorem of Calculus. Scheduled fall semesters of even years. Prerequisite(s): Grade of “C” or higher in both MAT 151 an d MAT 250. 3 credit(s). Last Term Offered: Fall 2016 |

## MAT 560 - TopologyMetric spaces and fundamental concepts, topological spaces, subspaces and product spaces, countability properties, separation properties, compactness, and connectedness. Scheduled fall semesters of odd years. Prerequisite(s): Grade of “C” or higher in MAT 250. 3 credit(s). Last Term Offered: Spring 2017 |

## MAT 573 - Algebraic Structures I (Certification Program)Linear Algebra: systems of linear equations, matrix algebra, vector spaces and linear transformations. Introduction to Group Theory: subgroups, structure of cyclic groups, direct products, group isomorphisms, cosets and Lagrange’s theorem. Scheduled fall semesters of odd years. Prerequisite(s): Grade of “C” or higher in MAT 250. 4 credit(s). Last Term Offered: Fall 2015 |

## MAT 574 - Algebraic Structures IINormal subgroups and factor groups; rings, ideals and factor rings; polynomial rings and irreducibility; extension fields; finite fields; introduction to Galois theory. Scheduled spring semesters of even years. Prerequisite(s): Grade of “C” or higher in MAT 573 or department permission. 3 credit(s). Last Term Offered: Spring 2016 |

## MAT 580 - Introduction to Research in Mathematics EducationExamines a general overview of social science research, a brief history of mathematics education research, and the application of experimental, descriptive, qualitative, and meta-analytical methods in the field of mathematics education. Scheduled spring semesters of even years. Prerequisite(s): MAT 525 or MAT 526 3 credit(s). Last Term Offered: Spring 2016 |

## MAT 590 - Thesis SeminarResearch and writing of the thesis in the area of concentration, under the direction of a mathematics department faculty member. For specific details, consult the chairperson or graduate coordinator of the department. Prerequisite(s): departmental permission. 3 to 6 credit(s). Last Term Offered: Spring 2017 |

## MAT 595 - Seminar in Mathematics EducationCurrent issues in mathematics education. Scheduled summer semesters of odd years. 3 credit(s). Last Term Offered: Summer 2015 |

## MAT 600 - Independent StudyProvides qualified students with an opportunity for independent study and careful discussion from an advanced standpoint of selected topics in mathematics. Prerequisite(s): departmental permission. 1 to 4 credit(s). Last Term Offered: Spring 2017 |