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MATH 807 - Intermediate Statistics |

A study of regression and correlation analysis, chi square tests and contingency tables, design
of experiments, analysis of variance, non-parametric statistics, and introduction to data analysis.
Prerequisite: 43.117 Introduction to Statistics.
1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Schedule Types: Independent/Directed Study, Lecture Mathematics Department |

MATH 808 - Applied Statistical Data Processing |

Practical aspects of data analysis using statistical computer packages such as MINITAB, SPSSX, AND BMDP. Multivariate statistical methods including multiple regression, analysis of covariance, factor analysis, multidimensional scaling, discriminant analysis and linear models for cross-classified categorical data are emphasized. Students do individual data analysis projects.
Prerequisite: MATH 307 Intermediate Statistics.
1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated Schedule Types: Lecture Mathematics Department Course Attributes: Graduate Level Course |

MATH 810 - Number Theory |

A study of the properties of numbers. Topics include mathematical induction, divisibility,
primes, congruencies, the Chinese remainder theorem, primitive roots, quadratic reciprocity,
continued fractions, partitions and the history of some classical problems.Prerequisite: 43.220 Calculus II.
1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Schedule Types: Independent/Directed Study, Lecture Mathematics Department |

MATH 811 - Problem Solving/Modeling in Mathematics |

A study in problem solving with the development of banks of problems appropriate to various
grade levels and selected from arithmetic, informal geometry, logic, measurement, number sequences, probability, and statistics, challenging enough to provoke interest, but realistic enough
to be successful experiences. Heuristic problem solving techniques, Polya's stages of problem
solving, specific strategies, and pedagogical issues are studied. Prerequisites: 43.201 Intuitive Geometry, and 43.215 Finite Mathematics
1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Schedule Types: Independent/Directed Study, Lecture Mathematics Department |

MATH 817 - Introduction to Higher Geometry Introduction to Higher Geometry |

A precise, rigorous examination of the axioms and concepts of various geometries. Euclidean,
non-Euclidean, and transformational geometries are investigated. Prerequisite: 43.219
Calculus I.
1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Schedule Types: Independent/Directed Study, Lecture Mathematics Department |

MATH 819 - Abstract Algebra |

A study of the algebraic structures, groups, rings, integral domains, fields, and polynomials.
Note: students may not receive credit for both 43.819 Abstract Algebra and 43.835 Algebraic
Structures I (formerly Modern Algebra). Prerequisite: 43.810 Number Theory
1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Schedule Types: Independent/Directed Study, Lecture Mathematics Department |

MATH 848 - Mathematical Statistics I |

Sample spaces, events as subsets of a sample space, probability, axioms, combinatorics applied
to probability problems, random variables and their distributions, special distributions, multivariate distributions, central limit theorem, and topics in statistical inference. Prerequisites: 43.221 Calculus III and either 43.215 Finite Mathematics or 43.226 Linear Algebra and Applications.
1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Schedule Types: Independent/Directed Study, Lecture Mathematics Department |

MATH 849 - Mathematical Statistics II |

Estimation, decision theory and hypothesis testing, linear models, regression, analysis of variance,
analysis of categorical data, nonparametric inference. Prerequisite: 43.848 Mathematical
Statistics I.
1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Schedule Types: Independent/Directed Study, Lecture Mathematics Department |

MATH 870 - Seminar in Mathematics |

This course will explore an advanced topic in mathematics or computer science. The particular
topic is announced at least one semester in advance. Prerequisite: Permission of instructor.
1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Schedule Types: Independent/Directed Study, Lecture Mathematics Department |

MATH 878 - Real Analysis |

Set theory, relations and functions, properties of the real number system, topology of the real
line, introduction to metric spaces, limits of sequences and functions, continuous functions, differentiation, the Riemann-Stieltjes integral. Prerequisite: 43.221 Calculus III.
1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Schedule Types: Independent/Directed Study, Lecture Mathematics Department |

MATH 897 - Internship in Mathematics |

The student will be encouraged (and assisted to whatever extent possible) by the Mathematics
Department to seek employment during summers or part-time during the school year, involving
non-trivial applications of mathematics. In this manner the student can earn up to 3 course
credits, the amount of credit being decided by the student's advisor and the department chair.
Prerequisite: Permission of the Department Chair.
1.000 Credit hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Schedule Types: Independent/Directed Study, Internship Mathematics Department |

MATH 901 - Foundations of Mathematics |

An in depth investigation of the fundamental concepts of mathematics and their properties. The topics range from sets and logic to abstract algebra and proof. NOTE: This course serves as a foundation to all other courses in the graduate program.
1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Schedule Types: Independent/Directed Study, Lecture Mathematics Department |

MATH 908 - Geometry for Teachers |

A course that includes such topics as a comparison between the metric and synthetic approach
to geometry, polygons, polyhedra, tessellations, constructions, proof techniques, transformations,
symmetry, and geometric modeling. These topics are also used to suggest methods and approaches to the teaching of geometry. Prerequisite: Permission of the Department Chair.
1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Schedule Types: Independent/Directed Study, Lecture Mathematics Department |

MATH 910 - Algebra for the Middle School Teacher |

A course for the middle school teachers that will investigate the fundamental concepts of algebra. The topics will include real and complex numbers, binary operations and their properties, set theory, functions, polynomials, equations, algebraic structures, graphing, and related topics.
1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Schedule Types: Independent/Directed Study, Lecture Mathematics Department Course Attributes: Graduate Level Course |

MATH 918 - Elementary Number Theory for Teachers |

A study of the summation and product notations, recursion, figurate numbers, divisibility,
greatest common divisor, the Euclidean algorithm, lowest common multiple, and consequences.
The course offers numerous opportunities for experimentation and exploration, and for
conjecturing the myriad properties of Pascal's triangle, Fibonacci and Lucas numbers, Catlan
numbers, Fermat numbers and Pell numbers. Note: Students cannot receive credit for this
course if they have already completed 43.310/43.810 Number Theory. Prerequisite: Permission of Department Chair.
1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Schedule Types: Independent/Directed Study, Lecture Mathematics Department |

MATH 926 - Geometry for Middle School Teachers II |

A continuation of MATH 908 Geometry for Middle School Teachers I in which students investigate finite, taxicab, sherical, and non-Euclidean geometrics with an emphasis on hyperbolic geometry. Applications of these geometries to real life problems and other areas of mathematics are surveyed. Students create modules adapting this material to their classrooms. NOTE: This course is also open to high school teachers.
Prequisites: MATH 908 Geometry for Middle School Teachers I and MATH 910 Algebra for the Middle School Teacher.
1.000 Credit hours Levels: Graduate, Non-Matriculated Schedule Types: Independent/Directed Study, Lecture Division of Graduate & Cont Ed Division Mathematics Department Course Attributes: Graduate Level Course |

MATH 928 - Problem Solving for Teachers |

Designed for middle and high school teachers and emphasizes the study of a variety of types of problems and the strategies that might be used to solve them. One of the important objectives of the course is to immerse teachers in a problem-solving atmosphere that encourages them to make connections to previously learned concepts, to the different areas of mathematics and to the 6-12 curriculum. Topics include problems form the fields of logic, set theory, geometry, number theory, algebra, analysis and probability. Prerequisites: Graduate coursework in at least three (3) of the following areas: logic, set theory, geometry, number theory algebra, analysis and probability or permission of the Department Chair.
1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Schedule Types: Independent/Directed Study, Lecture Mathematics Department Course Attributes: Graduate Level Course |

MATH 985 - Directed Study in Mathematics |

Student research on a topic or topics in higher mathematics or computer science. Suggested
areas include applied algebra, numerical analysis, and mathematical physics. The student
should make arrangements with the faculty member who is to direct his/her work one semester
in advance of the work.
1.000 Credit hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Schedule Types: Independent/Directed Study, Internship Mathematics Department |

MATH 999 - Reading and Research in Higher Mathematics |

In this course the student will write an essay or a thesis on a topic in higher mathematics, under
the direction of a faculty member.
1.000 Credit hours 4.000 Lecture hours Levels: Graduate, Non-Matriculated, Post-Baccalaureate Schedule Types: Independent/Directed Study, Lecture Mathematics Department |