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LS 5160 - Professional Symposium in Reading
This course is designed to be the initial course in the graduate program in reading. It is designed to present the basic concepts concerning the nature of the reading process and the teaching of reading. Emphasis will be placed on reading as a thinking process and on factors affecting reading performance. Special emphasis will be placed on child development; language development; concept development; physical, psychological, and environmental factors affecting the child’s literacy development. In addition, the course will provide a brief overview of the delivery systems and procedures used in the U.S. to teach reading. This will involve an historical overview as well as current and potential future practices.
Credits: 3 hrs.
Notes: Open to Upperclass and Graduate Students.
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LS 5970 - Reading and Related Language Experiences
A study of the current research on language related skill acquisition and literacy development.
Credits: 3 hrs.
Notes: Open to Upperclass and Graduate Students.
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LS 5980 - Selected Readings in Education
Designed for highly qualified students who wish to study in-depth some aspect of literacy studies under a member of the departmental staff.
Prerequisites/Corequisites: Prerequisites: Advisor and department approval.
Credits: 1-4 hours
Notes: Open to Upperclass and Graduate students.
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LS 6120 - Strategic Learning Through Texts for Elementary Teachers
This course is designed to assist elementary classroom teachers and those interested in literacy for early elementary students in using appropriate strategies for accessing meaning of text. This course will give ways to help students use and apply strategies in using reading and writing as ways of knowing for young children.
Credits: 3 hrs.
Notes: Open to Graduate Students Only.
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LS 6170 - Reading in the Content Areas
Designed to acquaint elementary, middle school and high school teachers with reading strategies used in the process of reading to learn. Participants will consider the text factors which affect student learning, and develop and evaluate strategies and materials to enhance their students’ learning in specific content areas.
Credits: 3 hrs.
Notes: Open to Graduate Students Only.
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LS 6190 - Clinical Studies in Reading
This course is intended to provide the basic information needed in the examination of persons with reading disabilities. Interviewing techniques and examination procedures will be the basic content of the course. Emphasis will be placed on the educational, physical, psychological, and sociological factors affecting reading performance. Students will be provided with a knowledge of both standardized and informal reading tests. Students will have the opportunity to construct, administer, score, and interpret both standardized and nonstandardized reading tests. Emphasis will be placed on producing a practical bibliography of measurement instruments and materials.
Prerequisites/Corequisites: Prerequisite: ED 3120 or 3220.
Credits: 3 hrs.
Notes: Open to Graduate Students Only.
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LS 6200 - Educational Therapy in Reading
Laboratory application of knowledge gained concerning the psychological, sociological, and physiological factors affecting children’s reading ability is stressed. The prevention, diagnosis, and treatment of reading problems is experienced through working with struggling readers. Students will become familiar with testing instruments, their use, administration, and interpretation. Students will also learn techniques of therapy and recognize those factors necessary for effective therapy.
Prerequisites/Corequisites: Prerequisite: ED 6190.
Credits: 3 hrs.
Notes: Open to Graduate Students Only.
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LS 6250 - Strategic Learning Through Texts for Middle School Teachers
This course is designed to assist teachers who are instructing at the middle level in their use of appropriate strategies for accessing meaning of text. The course will give ways to help early adolescent learners apply strategies aimed at using reading and writing as ways of knowing across the middle level curriculum.
Credits: 3 hrs.
Notes: Open to Graduate Students Only.
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LS 6430 - Practicum in Clinical Studies in Reading
This course is intended to give students experience in employing informal and formal standardized instruments and techniques necessary for the diagnosis and treatment of the disabled reader. The course emphasizes the use of various measurements pointing out their capabilities and limitations. Skills in interviewing, observing, diagnosing, planning treatment, and working with parents and school personnel are emphasized.
Prerequisites/Corequisites: Prerequisites: ED 6190 and ED 6200.
Credits: 3 hours
Notes: Open to Graduate students only.
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LS 6520 - Oracy and Literacy
The course explores the foundation of language, language acquisition, language development, and the ties between oral language and literacy. The role of oral language, applied linguistics, and dialects is studied and applied to the literacy process.
Credits: 3 hrs.
Notes: Open to Graduate Students Only.
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LS 6530 - Practicum in Reading Therapy
This course affords students the opportunity to build on competencies attained in ED 6430. Reading therapy is offered on a one student to client basis under the direction of a trained clinical therapist. The course serves as an instructional internship for working with pupils who have problems in reading and related areas. This course will provide graduate students practice in setting up prescriptive instructional objectives, selecting materials in terms of needs, and carefully designing instructional procedures for disabled readers.
Prerequisites/Corequisites: Prerequisites: ED 6190, ED 6200, ED 6430.
Credits: 3 hours
Notes: Open to Graduate students only.
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LS 6560 - Creating and Administering a Balanced Literacy Program
This course affords an opportunity to investigate and explore procedures to organize and administer elementary and secondary reading programs. The course will have students examine existing programs and study models of balanced literacy programs to improve upon existing programs. This course is intended to employ the best practices in the literacy research to create and administer a balanced literacy program, kindergarten through adult basic education.
Credits: 3 hrs.
Notes: Open to Graduate Students Only.
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LS 6790 - Capstone Seminar
The Capstone Seminar provides students with the opportunity to analyze and evaluate their master’s coursework through the development of a portfolio. The portfolio will reflect a synthesis of the knowledge, understandings, and applications of the Master of Arts in Literacy Studies content. The portfolio will consist of three sections. Each section will include both a culminating research paper and documentation from the coursework. Section I represents the research and foundation course content. Section II represents the Literacy Studies core course content. Section III represents a professional area of interest developed by the student. Students will begin the seminar by engaging in a thoughtful cataloging of the course readings, notes, professional papers, and projects from each course in their program.
Prerequisites/Corequisites: Prerequisites: Completion of all program core courses and department approval.
Credits: 3 hours
Notes: Open to Graduate students only.
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LS 6800 - Early Literacy Learning
Focused on literacy acquisition, this course explores how the young learner creates a network of competencies which generate subsequent independent literacy learning. Explanations of change over time in a child’s control of literacy learning from school entry until the independence at the third year of schooling are emphasized. This cognitive view of literacy processes in a developmental perspective will explore different programmatic emphases which enable the young reader to extend the range and effectiveness of strategic reading.
Credits: 3 hrs.
Notes: Open to Graduate Students Only.
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LS 6810 - Reading and Writing with Young Children
Reviews the developmental aspects of early writing and reading with young children providing insights for the creation of programs in early literacy development. It aims to develop understanding of the early literacy process, helping teachers create an environment in which learners interrelate oral language learning, learning to read, and learning to write. The relationship of early writing to early reading is examined, and a model of interactive assessment with the teaching and learning cycle is stressed. Emphasis in this course will focus primarily on early writing, with a subordinate role for reading instruction.
Credits: 3 hrs.
Notes: Open to Graduate Students Only.
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LS 6870 - Strategic Learning through Texts for High School Teachers
This course is designed to assist high school classroom teachers and those interested in literacy for high school students in using appropriate strategies for accessing meaning of text. This course will give ways to help students use and apply strategies in using reading and writing as ways of knowing for high school students.
Prerequisites/Corequisites: Prerequisite: ED 5160.
Credits: 3 hrs.
Notes: Open to Graduate Students Only.
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LS 6950 - Reading Seminar
This course is designed to be the culminating course in each of the three streams in the master’s program in reading and is designed to acquaint teachers, reading specialists, and administrators with the current research and literature pertinent to their areas of specialization. Students should be able to demonstrate an ability to design reading research studies which contribute to the body of knowledge in reading. As this course is intended as the capstone course, it must be taken in the last six hours of graduate work.
Credits: 3 hrs.
Notes: Open to Graduate Students Only.
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LS 6970 - Special Topics in Reading
A variable credit course designed to provide a vehicle for the development and implementation of special topics in the field of literacy. The purpose is to provide students with the opportunity to study topical current issues.
Credits: 1-3 hrs.
Notes: Open to Graduate Students Only.
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LS 7000 - Master’s Thesis
Please refer to The Graduate College section for a course description.
Prerequisites/Corequisites: Prerequisite: Department approval.
Credits: 6 hours
Notes: Open to Graduate students only.
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LS 7100 - Independent Research
Please refer to The Graduate College section for a course description.
Prerequisites/Corequisites: Prerequisite: Department approval.
Credits: 2-6 hours
Notes: Open to Graduate students only.
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LS 7120 - Professional Field Experience
Please refer to The Graduate College section for a course description.
Prerequisites/Corequisites: Prerequisite: Department approval.
Credits: 2-12 hours
Notes: Open to Graduate students only.
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MATH 5070 - Numerical Analysis I
The analysis and use of numerical algorithms for the solution of nonlinear equations, systems of linear equations, interpolation, numerical differentiation and integration.
Prerequisites/Corequisites: Prerequisites: MATH 3740 and a computer programming language beyond Basic, e.g., FORTRAN or C.
Credits: 3 hrs.
Notes: Open to Upperclass and Graduate Students. Undergraduates with junior or senior standing and 12 or more credit hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chairperson.
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MATH 5100 - Applied Matrix Algebra
An introduction to the study of methods to solve linear systems of equations, least squares approximation problems, and eigenvalue problems. Topics covered include the algebra of real and complex matrices with particular emphasis on LU-decompositions, QR-decompositions, singular value decompositions, generalized inverses, Hermitian symmetric matrices, positive definite matrices and the Spectral Theorem. Applications from multivariate calculus will be discussed.
Prerequisites/Corequisites: Prerequisites: Either MATH 2300 or (MATH 2720 and MATH 3740).
Credits: 3 hrs.
Notes: Open to Upperclass and Graduate Students. Undergraduates with junior or senior standing and 12 or more credit hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chairperson.
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MATH 5220 - Introduction to Topology
Topics to be chosen from: Topological spaces and continuous functions, metric spaces, connectivity, separation axioms, compactness, product and quotient spaces, paracompactness, and manifolds.
Prerequisites/Corequisites: Prerequisite: MATH 3300 or MATH 5700.
Credits: 3 hrs.
Notes: Open to Upperclass and Graduate Students. Undergraduates with junior or senior standing and 12 or more credit hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chairperson.
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MATH 5270 - Differential Geometry of Curves and Surfaces
An introduction to Riemannian Geometry with emphasis on curves and surfaces. Topics may include isometries, orientation, differential forms, curvature, metrics, and geodesics.
Prerequisites/Corequisites: Prerequisites: MATH 2720 and either MATH 2300 or 3740. (MATH 3140 is recommended.)
Credits: 3 hrs.
Notes: Open to Upperclass and Graduate Students. Undergraduates with junior or senior standing and 12 or more credit hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chairperson.
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MATH 5300 - Linear Algebra
Properties of finite dimensional abstract vector spaces, linear transformations, and matrix algebra are studied.
Prerequisites/Corequisites: Prerequisite: MATH 3300.
Credits: 3 hrs.
Notes: Open to Upperclass and Graduate Students. Undergraduates with junior or senior standing and 12 or more credit hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chairperson.
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MATH 5540 - Algebra for the Elementary/Middle School Teacher
This course is devoted to the learning of algebra in elementary and middle grades. Concepts and skills are developed and reinforced using a variety of approaches and materials. Computing technologies are used throughout the course to develop concepts; to explore the connections among numeric, graphic, and symbolic representations of mathematical ideas; and to model and solve problems involving quantitative variables.
Prerequisites/Corequisites: Prerequisites: MATH 1500, 1510, 2650, and 3520 with grades of “B” or better or instructor approval.
Credits: 4 hours
Notes: Open to Upperclass and Graduate students. Undergraduates with Junior or Senior standing and 12 or more credit hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chairperson.
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MATH 5550 - Mathematical Modeling and Problem Solving for the Elementary/Middle School Teacher
This course provides experiences in mathematical modeling and problem solving for elementary/middle school teachers. Problem contexts are selected to deepen students’ understanding of important ideas in number theory, algebra, geometry, probability, statistics, and the conceptual underpinnings of calculus.
Prerequisites/Corequisites: Prerequisites: MATH 5540 with a grade of “C” or better or instructor approval.
Credits: 4 hours
Notes: Open to Upperclass and Graduate students. Undergraduates with Junior or Senior standing and 12 or more credit hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chairperson.
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MATH 5700 - Advanced Calculus I
Properties of real numbers, Cauchy sequences, series, limits, continuity, differentiation, Riemann integral, sequences and series of functions.
Prerequisites/Corequisites: Prerequisites: MATH 2720 and 3140 (MATH 3300 is recommended.)
Credits: 4 hrs.
Notes: Open to Upperclass and Graduate Students. Undergraduates with junior or senior standing and 12 or more credit hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chairperson.
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MATH 5710 - Advanced Calculus II
Topology of n-dimensional space, continuity and differentiability of functions of one variable; Riemann-Stieltjes integral; convergence of sequences and series of functions; Fourier series; analysis of functions of several variables.
Prerequisites/Corequisites: Prerequisite: MATH 5700 or approval of advisor.
Credits: 3 hrs.
Notes: Open to Upperclass and Graduate Students. Undergraduates with junior or senior standing and 12 or more credit hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chairperson.
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MATH 5720 - Vector Calculus and Complex Variables
Functions of several variables, implicit and inverse functions, Jacobians, multiple integrals, Green’s Theorem, divergence, curl, the Laplacian, Stokes’ Theorem, analytic functions, Laurent expansions, residues, argument principle, and conformal mapping.
Prerequisites/Corequisites: Prerequisite: MATH 3740.
Credits: 4 hrs.
Notes: Open to Upperclass and Graduate Students. Undergraduates with junior or senior standing and 12 or more credit hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chairperson.
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MATH 5740 - Advanced Differential Equations
Series solutions at ordinary and singular points of linear ordinary differential equations, Bessel and Legendre functions, self-adjoint boundary value problems, Fourier series, solution of partial differential equations by separation of variables.
Prerequisites/Corequisites: Prerequisite: MATH 3740.
Credits: 3 hrs.
Notes: Open to Upperclass and Graduate Students. Undergraduates with junior or senior standing and 12 or more credit hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chairperson.
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MATH 5800 - Number Theory
Diophantine equations, congruences, quadratic residues, and properties of number-theoretic functions.
Prerequisites/Corequisites: Prerequisite: MATH 3300.
Credits: 3 hrs.
Notes: Open to Upperclass and Graduate Students. Undergraduates with junior or senior standing and 12 or more credit hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chairperson.
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MATH 5900 - In-Service Professional Development in Mathematics
This course develops specific professional skills related to the teaching and learning of pre-college mathematics. Final course outcomes have demonstrated applications to the mathematics classroom.
Prerequisites/Corequisites: Prerequisite: Permission of instructor.
Credits: 1-3 hrs.
Notes: Open to Upperclass and Graduate Students. This course may be repeated. Each offering of MATH 5900 will be given an appropriate subtitle which will be listed on the student’s official transcript. Students may earn up to three hours of credit for any given subtitle. Credit hours may be applied to continuing teacher certification programs with approval of the Teacher Certification Office, but will not be applicable to a new endorsement in mathematics nor to any graduate program within the Department of Mathematics. Graded on a Credit/No Credit basis.
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MATH 5950 - Topics in Elementary/Middle School Mathematics
This course addresses topics in mathematics content and pedagogy relative to the teaching and learning of elementary/middle school mathematics.
Prerequisites/Corequisites: Prerequisite: MATH 3520 or consent of instructor.
Credits: 3 hrs.
Notes: Open to Upperclass and Graduate Students. Course may be repeated for credit. Undergraduates with junior or senior standing and 12 or more credit hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chairperson.
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MATH 5990 - Independent Study in Mathematics
Advanced students with good scholastic records may elect to pursue independently the study of some topic having special interest for them. Topics are chosen and arrangements are made to suit the needs of each particular student.
Prerequisites/Corequisites: Prerequisite: Approval of chairperson of department.
Credits: 1-6 hrs.
Notes: Open to Upperclass and Graduate Students. May be repeated for credit. Undergraduates with junior or senior standing and 12 or more credit hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chairperson.
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MATH 6020 - Mathematical Modeling I
This course considers the methodology of modeling a series of practical problems. The mathematical tools used may include dimensional analysis, optimization, differential and difference equations, graph theory and network flow theory. The practical problems may include population dynamics, economic theory of prices and production, scale models, scheduling problems, pollution, social group interaction, epidemics, and facility location.
Prerequisites/Corequisites: Prerequisite: MATH 5740 or consent of instructor.
Credits: 3 hrs.
Notes: Open to Graduate Students Only. Undergraduates with junior or senior standing and 12 or more credit hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chairperson.
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MATH 6050 - Optimization
This course will cover one or several topics from the area of optimization. The topic(s) may include nonlinear programming, dynamic programming, optimal control, variational analysis, discrete optimization, stochastic optimization, and network optimization. If the material covered is significantly different, this course may be repeated for credit with approval of the instructor.
Prerequisites/Corequisites: Prerequisites: MATH 2720 and consent of the instructor.
Credits: 3 hrs.
Notes: Open to Graduate Students Only.
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MATH 6070 - Numerical Analysis II
The analysis and use of numerical algorithms for the solution of ordinary and partial differential equations, and approximation theory.
Prerequisites/Corequisites: Prerequisite: MATH 5070.
Credits: 3 hrs.
Notes: Open to Graduate Students Only.
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MATH 6080 - Linear Programming
Linear inequalities; convex geometry; optimization in linear systems; zero-sum games; applications.
Prerequisites/Corequisites: Prerequisite: An introductory course in linear algebra.
Credits: 3 hrs.
Notes: Open to Graduate Students Only.
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MATH 6090 - Studies in Applied Math
Advanced work organized around topics related to the field of study indicated at the time the course is scheduled. Students may take this course more than once.
Credits: 3 hrs.
Notes: Open to Graduate Students Only.
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MATH 6110 - Mathematical Applications
An introduction to the philosophy of, machinery for, and methodology in applications of mathematics. Topics will be chosen from graph theory, linear algebra, numerical approximation, optimization and graphical linear programming, probability, and linear differential equations.
Prerequisites/Corequisites: Prerequisite: Consent of the advisor.
Credits: 3 hrs.
Notes: This course is primarily for teachers and ordinarily will not apply towards the Master of Arts in Mathematics.
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MATH 6150 - Intermediate Analysis
This course will include the following topics: limits, continuity, differentiation, integration, applications. It will stress concepts rather than techniques.
Prerequisites/Corequisites: Prerequisite: Consent of advisor.
Credits: 3 hrs.
Notes: This course is primarily for teachers and ordinarily will not apply towards the Master of Arts in Mathematics.
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MATH 6160 - Survey of Algebra
This course will discuss groups, rings, integral domains and fields, including such topics as homomorphisms and isomorphisms, subalgebras and ideals, with examples involving permutation groups, transformation groups, polynomial rings and finite fields.
Prerequisites/Corequisites: Prerequisite: Consent of advisor.
Credits: 3 hrs.
Notes: This course is primarily for teachers and ordinarily will not apply towards the Master of Arts in Mathematics.
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MATH 6170 - Discrete Dynamical Systems
This course features a blend of theory and experimentation using computer software to study dynamical systems with a special emphasis on chaotic systems. Topics investigated include iteration and orbits, graphical analysis, periodic points, bifurcation theory, fractals, Julia Sets, the Mandelbrot Set, and symbolic dynamics.
Prerequisites/Corequisites: Prerequisite: Consent of advisor.
Credits: 3 hrs.
Notes: This course is primarily for teachers and ordinarily will not apply towards the Master of Arts in Mathematics.
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MATH 6190 - Computer Methods in Secondary School Mathematics
This course emphasizes the applications of computing technology to the teaching and learning of mathematics in grades 7-12. Particular attention is given to the role of technology in mathematical problem solving and concept development. Technology-oriented curriculum materials will be examined and developed.
Prerequisites/Corequisites: Prerequisite: Consent of advisor.
Credits: 3 hrs.
Notes: This course is primarily for teachers and ordinarily will not apply towards the Master of Arts in Mathematics.
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MATH 6210 - Algebraic Topology—Fundamental Group
Topics may include: Homotopy, the fundamental group, covering spaces, the classification of covering spaces, the classification of compact surfaces, the Seifert-Van Kampen Theorem, and applications.
Prerequisites/Corequisites: Prerequisite: MATH 5220.
Credits: 3 hrs.
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MATH 6240 - Algebraic Topology—Homology Theory
Topics will include simplicial complexes, homology and cohomology theories, including singular homology theory.
Prerequisites/Corequisites: Prerequisite: MATH 5220.
Credits: 3 hrs.
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MATH 6250 - Differential Topology
Topics may include: Differentiable manifolds and smooth maps, tangent bundles, immersions, embeddings, submanifolds, transversality, Sard’s Theorem, intersection theory, and additional topics.
Prerequisites/Corequisites: Prerequisite: MATH 5220.
Credits: 3 hrs.
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MATH 6290 - Studies in Topology
Advanced work organized around topics related to the field of study indicated in the above title.
Credits: 3-4 hrs.
Notes: Students may take this course more than once.
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MATH 6300 - Abstract Algebra I
A general study of groups, rings, and modules. A specific study of finite groups, polynomial rings, and Euclidean domains.
Prerequisites/Corequisites: Prerequisite: MATH 5300.
Credits: 3 hrs.
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MATH 6310 - Abstract Algebra II
A continuation of ,MATH 6300. Modules, structure theory of modules over principal ideal domains, applications to finitely generated abelian groups, rational and Jordan canonical forms of a linear transformation, bilinear and quadratic forms.
Prerequisites/Corequisites: Prerequisite: MATH 6300.
Credits: 3 hrs.
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MATH 6370 - Numerical Linear Algebra
The analysis and use of numerical algorithms for solving problems from linear algebra, including matrix norms, singular value decompositions, Gaussian elimination, least squares methods, eigenvalues and iterative methods.
Prerequisites/Corequisites: Prerequisites: MATH 5100 or 5300, and 5070.
Credits: 3 hrs.
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MATH 6390 - Studies in Algebra
Advanced work organized around topics related to the field of study indicated in the above title.
Credits: 3 hrs.
Notes: Students may take this course more than once.
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MATH 6400 - Graph Theory I
This course and MATH 641 cover the following topics: Fundamental concepts; eulerian graphs; adjacency and incidence matrices; trees; planar graphs; graph embeddings; connectivity; hamiltonian graphs; matchings; factorization; graphs and groups; Cayley color graphs; line graphs; the Reconstruction Problem; spectra of graphs; graph and map colorings; extremal graph theory; Ramsey theory.
Prerequisites/Corequisites: Prerequisite: Approval of advisor.
Credits: 4 hrs.
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MATH 6410 - Graph Theory II
Continuation of MATH 6400.
Prerequisites/Corequisites: Prerequisite: MATH 6400.
Credits: 4 hrs.
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MATH 6440 - Graphs, Groups, and Surfaces
Study of the interaction of graphs, groups, and surfaces. Topics covered include map-coloring problems, symmetrical maps, automorphism groups of graphs, Cayley graphs of groups, genus of graphs, genus of groups, generation of block designs, and applications to church bell ringing.
Prerequisites/Corequisites: Prerequisite: Consent of instructor.
Credits: 3 hrs.
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MATH 6450 - Studies in Combinatorics
Advanced work organized around topics related to the field of study indicated in the above title. Students may take this course more than once.
Prerequisites/Corequisites: Prerequisite: Approval of instructor.
Credits: 3 hrs.
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MATH 6490 - Studies in Geometry
Advanced work organized around topics related to the field of study indicated in the above title.
Credits: 3 hrs.
Notes: Students may take this course more than once.
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MATH 6510 - Studies in Teaching Elementary School Mathematics
This is an advanced methods class devoted to analysis of current theoretical and research-based perspectives on mathematics teaching and learning and their implications for instructional practice and evaluation of student performance at the elementary school level. Explicit attention is given to the impact of technology on the teaching/learning process.
Prerequisites/Corequisites: Prerequisite: Consent of advisor.
Credits: 3 hrs.
Notes: This course is primarily for teachers and ordinarily will not apply towards the Master of Arts in Mathematics.
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MATH 6520 - Studies in Teaching Middle School Mathematics
This is an advanced methods class devoted to analysis of current theoretical and research-based perspectives on mathematics teaching and learning and their implications for instructional practice and evaluation of student performance at the middle school level. Explicit attention is given to the impact of technology on the teaching/learning process.
Prerequisites/Corequisites: Prerequisite: Consent of advisor.
Credits: 3 hrs.
Notes: This course is primarily for teachers and ordinarily will not apply towards the Master of Arts in Mathematics.
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MATH 6530 - Studies in Teaching Secondary School Mathematics
This is an advanced methods class devoted to analysis of current theoretical and research-based perspectives on mathematics teaching and learning and their implications for instructional practice and evaluation of student performance at the secondary school level. Explicit attention is given to the impact of technology on the teaching/learning process.
Prerequisites/Corequisites: Prerequisite: Consent of advisor.
Credits: 3 hrs.
Notes: This course is primarily for teachers and ordinarily will not apply towards the Master of Arts in Mathematics.
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MATH 6540 - Secondary School Mathematics Curriculum Studies
Participants in this course examine curricular issues and trends in secondary school mathematics and analyze recent experimental and commercial curriculum materials. This course may be taken more than once with the approval of the student’s advisor.
Prerequisites/Corequisites: Prerequisite: Consent of advisor.
Credits: 3 hrs.
Notes: This course is primarily for teachers and ordinarily will not apply towards the Master of Arts in Mathematics.
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MATH 6550 - Issues and Trends in Secondary School Mathematics
This course examines current policy issues and curricular and instructional trends in secondary school mathematics and related research studies. It is designed to provide a transition to advanced graduate work in mathematics education.
Prerequisites/Corequisites: Prerequisites: Completion of at least 21 graduate credit hours, including MATH 6530 (or MATH 6520) and MATH 6540, or consent of advisor.
Credits: 3 hrs.
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MATH 6560 - Teaching of College Mathematics
In this course consideration is given to curricular problems and trends in post-high school mathematics; research on specific problems of teaching mathematics effectively to college students will be emphasized.
Prerequisites/Corequisites: Prerequisite: Consent of advisor.
Credits: 2 hrs.
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MATH 6570 - Mathematics Curriculum Issues and Trends
This course focuses on curricular and instructional issues and trends in K-14 mathematics education, including an examination of major historical themes that have shaped mathematics policy and practice at these levels.
Prerequisites/Corequisites: Prerequisite: Consent of advisor.
Credits: 3 hrs.
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MATH 6580 - Psychology of Learning Mathematics
This course focuses on theories of mathematical thinking and knowing and on an examination of major research paradigms and research findings on mathematical learning in children and adults and their implications for instruction.
Prerequisites/Corequisites: Prerequisite: Consent of advisor.
Credits: 3 hrs.
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MATH 6590 - Research in Mathematics Education
This course focuses on research issues, methodologies, and trends within mathematics education along with techniques for critical analysis of research. Students are expected to design and present an individual research study.
Prerequisites/Corequisites: Prerequisite: Consent of advisor.
Credits: 3 hrs.
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MATH 6700 - Real Analysis I
The first of a two semester sequence in real analysis. Topics covered in the two semesters will include topology and continuous functions, Lebesgue and general measure and integration, differentiation and the Radon-Nikodym theorem. Hilbert spaces, Banach spaces, and product spaces and Fubini’s theorem.
Prerequisites/Corequisites: Prerequisites: MATH 5220 and 5710.
Credits: 3 hrs.
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MATH 6710 - Real Analysis II
The second of a two semester sequence in real analysis. Topics covered in the two semesters will include topology and continuous functions; Lebesgue and general measure and integration, differentiation and the Radon-Nikodym theorem; Hilbert spaces, Banach spaces, and product spaces and Fubini’s theorem.
Prerequisites/Corequisites: Prerequisite: MATH 670.
Credits: 3 hrs.
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MATH 6760 - Complex Analysis
Topics include: Cauchy Theory, series expansion, power series, types of singularities, calculus of residues.
Prerequisites/Corequisites: Prerequisite: MATH 5710.
Credits: 3 hrs.
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MATH 6780 - Introduction to Functional Analysis
Metric spaces; category; compactness; Banach spaces; Hahn-Banach theorem; completely continuous operators; Hilbert spaces; self-adjoint operators; elementary spectral theory.
Prerequisites/Corequisites: Prerequisite: MATH 6710.
Credits: 3 hrs.
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MATH 6790 - Studies in Analysis
Advanced work organized around topics related to the field of study indicated in the above title. Students may take this course more than once.
Credits: 3 hrs.
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MATH 6880 - Research Tools in the Mathematical Sciences
This course consists of various computer applications and computer network activities that are commonly used in mathematics or mathematics education research, including mathematical word processing, computer algebra systems, literature searches, qualitative data analysis tools, and the use of Internet resources. Enrollment is limited to students in a graduate degree program in mathematics or mathematics education. Students must satisfactorily complete an approved number of modules per credit hour selected. If the course is repeated, different modules must be completed. Certain departmental degree programs may require the completion of specific modules.
Prerequisites/Corequisites: Prerequisite: Permission of the department chairperson.
Credits: 1-3 hrs.
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MATH 6890 - Studies in Number Theory
Advanced work organized around topics related to the field of study indicated in the title. Students may take this course more than once.
Credits: 3 hrs.
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MATH 6900 - Seminar in Applied Mathematics
Credits: 1-3 hrs.
Notes: May be repeated for credit.
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MATH 6920 - Seminar in Topology
Credits: 1-3 hrs.
Notes: May be repeated for credit.
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MATH 6930 - Seminar in Algebra
Credits: 1-3 hrs.
Notes: May be repeated for credit.
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MATH 6940 - Seminar in Graph Theory
Credits: 1-3 hrs.
Notes: May be repeated for credit.
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MATH 6950 - Seminar in Mathematics Education
Credits: 1-4 hrs.
Notes: May be repeated for credit.
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MATH 6970 - Seminar in Analysis
Credits: 1-3 hrs.
Notes: May be repeated for credit.
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MATH 6990 - Reading and Research
Credits: 1-6 hrs.
Notes: May be repeated for credit.
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MATH 7120 - Professional Field Experience
Credits: 2-12 hrs.
Notes: Open to Graduate Students Only-Please refer to The Graduate College section for course descriptions.
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MATH 7250 - Doctoral Research Seminar
Credits: 2-6 hrs.
Notes: Open to Graduate Students Only-Please refer to The Graduate College section for course descriptions.
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MATH 7300 - Doctoral Dissertation
Credits: 15 hrs.
Notes: Open to Graduate Students Only-Please refer to The Graduate College section for course descriptions.
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MATH 7350 - Graduate Research
Credits: 2-10 hrs.
Notes: Open to Graduate Students Only-Please refer to The Graduate College section for course descriptions.
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MDSC 6000 - Problem-Based Learning I
This is a first course in a sequence of three courses designed to provide an opportunity for students to apply the concepts and skills previously learned in other program courses through the examination of patient medical cases. Students will develop clinical reasoning skills and integrate their knowledge into solving medical problems. The student will learn how to develop a differential diagnosis, focus the physical examination of the patient, order appropriate laboratory tests, reach a conclusive diagnosis, and develop an appropriate treatment plan.
Prerequisites/Corequisites: Prerequisite: Admission to the Physician Assistant program.
Credits: 3 hrs.
Notes: Open to Graduate Students Only.
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MDSC 6020 - Problem-Based Learning II
This is a second course in a sequence of three courses designed to provide an opportunity for students to apply the concepts and skills previously learned in other program courses through the examination of patient medical cases. Students will develop clinical reasoning skills and integrate their knowledge into solving medical problems. The student will learn how to develop a differential diagnosis, focus the physical examination of the patient, order appropriate laboratory tests, reach a conclusive diagnosis, and develop an appropriate treatment plan.
Prerequisites/Corequisites: Prerequisite: Admission to the Physician Assistant program.
Credits: 3 hrs.
Notes: Open to Graduate Students Only.
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MDSC 6030 - Problem-Based Learning III
This is the third course in a sequence of three courses designed to provide an opportunity for students to apply the concepts and skills previously learned in other program courses through the examination of patient medical cases. Students will develop clinical reasoning skills and integrate their knowledge into solving medical problems. The student will learn how to develop a differential diagnosis, focus the physical examination of the patient, order appropriate laboratory tests, reach a conclusive diagnosis, and develop an appropriate treatment plan.
Prerequisites/Corequisites: Prerequisite: Admission to the Physician Assistant program.
Credits: 3 hrs.
Notes: Open to Graduate Students Only.
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MDSC 6040 - Renal, Musculoskeletal, and Dermatology
This course provides a foundation for the understanding, diagnosis, and treatment of diseases of the renal, muscoskeletal, and dermatological systems, throughout the life span. Students will examine the pathophysiology of diseases of these systems, with an emphasis on the cellular mechanisms of disease and the body’s response to them. The course is designed to develop the competencies required for patient counseling and for focused medical history taking and physical examination, including system anatomy and complex regional relationships. The selection, utilization, and interpretation of clinical laboratory, imaging, and other diagnostic tests used to evaluate system function are examined along with concepts of pharmacotherapeutic principles necessary to provide a rational basis for clinical prescribing decisions. An integrative approach is used to encourage application of information through clinical problem solving in the formulation of differential diagnoses and development of therapeutic and patient education plans.
Prerequisites/Corequisites: Prerequisite: Enrollment in the Physician Assistant program and successful completion of previous MDSC courses.
Credits: 7 hrs.
Notes: Open to Graduate Students Only. Graded on a Credit/No Credit basis.
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MDSC 6050 - Neuropsychiatry and Endocrine
This course provides a foundation for the understanding, diagnosis, and treatment of diseases of the neuropsychiatric and endocrine systems, throughout the life span. Students will examine the bio-psycho-social model, wellness, as well as pathophysiology of diseases of these systems, with an emphasis on the cellular mechanisms of disease and the body’s response to them. The course is designed to develop the competencies required for patient counseling and for focused medical history taking and physical examination, including system anatomy and complex regional relationships. The selection, utilization, and interpretation of clinical laboratory, imaging, and other diagnostic tests used to evaluate system function are examined along with concepts of pharmacotherapeutic principles necessary to provide a rational basis for clinical prescribing decisions. An integrative approach is used to encourage application of information through clinical problem solving in the formulation of differential diagnoses and development of therapeutic and patient education plans.
Prerequisites/Corequisites: Prerequisite: Enrollment in the Physician Assistant program and successful completion of previous MDSC courses.
Credits: 8 hrs.
Notes: Open to Graduate Students Only. Graded on a Credit/No Credit basis.
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MDSC 6060 - Gastrointestinal and Hematology
This course provides a foundation for the understanding, diagnosis, and treatment of diseases of the gastrointestinal and hematological systems, throughout the life span. Students will examine the pathophysiology of diseases of these systems, with an emphasis on the cellular mechanisms of disease and the body’s response to them. The course is designed to develop the competencies required for patient counseling and for focused medical history taking and physical examination, including system anatomy and complex regional relationships. The selection, utilization, and interpretation of clinical laboratory, imaging, and other diagnostic tests used to evaluate system function are examined along with concepts of pharmacotherapeutic principles necessary to provide a rational basis for clinical prescribing decisions. An integrative approach is used to encourage application of information through clinical problem solving in the formulation of differential diagnoses and development of therapeutic and patient education plans.
Prerequisites/Corequisites: Prerequisite: Enrollment in the Physician Assistant program and successful completion of previous MDSC courses.
Credits: 6 hrs.
Notes: Open to Graduate Students Only. Graded on a Credit/No Credit basis.
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MDSC 6070 - Reproduction and Urology
This course provides a foundation for the understanding, diagnosis, and treatment of diseases of the reproductive and urological systems, throughout the life span. Students will examine the pathophysiology of diseases of these systems, with an emphasis on the cellular mechanisms of disease and the body’s response to them. The course is designed to develop the competencies required for patient counseling and for focused medical history taking and physical examination, including system anatomy and complex regional relationships. The selection, utilization, and interpretation of clinical laboratory, imaging, and other diagnostic tests used to evaluate system function are examined along with concepts of pharmacotherapeutic principles necessary to provide a rational basis for clinical prescribing decisions. An integrative approach is used to encourage application of information through clinical problem solving in the formulation of differential diagnoses and development of therapeutic and patient education plans.
Prerequisites/Corequisites: Prerequisite: Enrollment in the Physician Assistant program and successful completion of previous MDSC courses.
Credits: 7 hrs.
Notes: Open to Graduate Students Only. Graded on a Credit/No Credit basis.
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MDSC 6100 - Special Topics in Physician Assistant
This course examines selected topics in medicine. Topics considered will vary from semester to semester.
Prerequisites/Corequisites: Prerequisites: Enrollment in the Physician Assistant program and successful completion of previous MDSC courses.
Credits: 1-3 hrs.
Notes: Open to Graduate Students Only. May be repeated for credit.
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MDSC 6110 - The Diagnostic Process I
This is the first in a series of three courses designed to develop the knowledge, attitudes and skills requisite for medical history taking, physical examination, clinical problem solving, diagnostic assessment, treatment implementation, and for counseling and educating patients. Learning methods include lecture format, skills performance, clinical decision-making, role-playing, individual research, and case problem solving to integrate and synthesize these competencies.
Prerequisites/Corequisites: Prerequisite: Admission to the Physician Assistant program or departmental permission.
Credits: 2 hrs.
Notes: Open to Graduate Students Only.
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MDSC 6120 - The Diagnostic Process II
This is the second in a series of three courses presented sequentially through the pre-clinical year of training. This course provides opportunities for the systematic evaluation of patient problems through history and physical examination, problem exploration, critical thinking and creative problem solving, lectures, demonstrations, group problem solving, practicum sessions, student examination of patients, as well as written and performance evaluation of these modalities, are included among the learning methodologies. Emphasis is placed on interviewing and physical examination, but more so on information gathering and synthesis to accomplish problem oriented patient care. Students will refine skills in eliciting and recording a complete patient database, as well as formulating differential diagnoses.
Prerequisites/Corequisites: Prerequisite: Successful completion of prior semester P.A. course work or departmental permission.
Credits: 2 hrs.
Notes: Open to Graduate Students Only.
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MDSC 6130 - The Diagnostic Process III
This is the summative offering in this series of three courses designed to develop competence in both the art and the science of patient evaluation. Students will continue to assess patients utilizing history taking and physical examination skills. Students will master special examinations such as for the pediatric patient, as well as the pregnant patient. Further emphasis will be placed on formulating diagnoses, therapeutic and patient education plans. Students will develop competencies in prevention strategies, and recording and communicating information in a medical team model.
Prerequisites/Corequisites: Prerequisite: Admission to the Physician Assistant program.
Credits: 1 hrs.
Notes: Open to Graduate Students Only.
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MDSC 6210 - Medical Pathophysiology I
This is the first in a three part sequence designed to provide the physician assistant student with a foundation for understanding human diseases. Students will review clinically relevant physiology and acquire a working knowledge of pathophysiology. Emphasis will be on the cellular mechanisms of disease and the body’s reactions to them. Topics covered will parallel those in concurrent clinical science courses.
Prerequisites/Corequisites: Prerequisite: Successful completion of prior semester P.A. course work or departmental permission.
Credits: 1 hr.
Notes: Open to Graduate Students Only.
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MDSC 6220 - Medical Pathophysiology II
This is the second in a three part sequence designed to provide the physician assistant student with a foundation for understanding human diseases. Students will review clinically relevant physiology and acquire a working knowledge of pathophysiology. Emphasis will be on the cellular mechanisms of disease and the body’s reactions to them. Topics covered will parallel those in concurrent clinical science courses.
Prerequisites/Corequisites: Prerequisite: Successful completion of prior semester P.A. course work or departmental permission.
Credits: 1 hr.
Notes: Open to Graduate Students Only.
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MDSC 6230 - Medical Pathophysiology III
This is the third in a three part sequence designed to provide the physician assistant student with a foundation for understanding human diseases. Students will review clinically relevant physiology and acquire a working knowledge of pathophysiology. Emphasis will be on the cellular mechanisms of disease and the body’s reactions to them. Topics covered will parallel those in concurrent clinical science courses.
Prerequisites/Corequisites: Prerequisite: Successful completion of prior semester P.A. course work or departmental permission.
Credits: 1 hr.
Notes: Open to Graduate Students Only.
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