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LAW 6040 - Legal, Regulatory, and Political Aspects of Business
This course provides an introduction to the legal, regulatory, and political environments of business. The course will examine the role of law in society; the structure of the American legal, regulatory, and political systems; and basic legal principles governing business conduct. The course reviews major legal problems encountered by business managers. The manager’s role in dispute resolution and factors affecting the organization of business are also examined.
Credits: 3 hours
Restrictions Enrollment in HCOB graduate business courses requires admission to the MBA or MSA program or the approval of the Director of Graduate Business Programs.
Notes: Open to Graduate students only.
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LAW 6980 - Readings and Research in Law
Directed individual study of bodies of knowledge not otherwise treated in departmental courses.
Prerequisites/Corequisites: Prerequisite: Department approval.
Credits: 1 to 3 hours
Restrictions Enrollment in HCOB graduate business courses requires admission to the MBA or MSA program or the approval of the Director of Graduate Business Programs.
Notes: Open to Graduate students only.
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LAW 7100 - Independent Research
Please refer to The Graduate College section for course descriptions.
Prerequisites/Corequisites: Prerequisite: Department approval.
Credits: 2 to 6 hours
Restrictions Restricted to M.B.A. or M.S.A. students.
Notes: May be repeated for credit. Graded on a Credit/No Credit basis. Open to Graduate students only.
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LAW 7120 - Professional Field Experience
Please refer to The Graduate College section for course descriptions.
Prerequisites/Corequisites: Prerequisite: Department approval.
Credits: 2 to 12 hours
Restrictions Restricted to M.B.A. or M.S.A. students.
Notes: May be repeated for credit. Graded on a Credit/No Credit basis. Open to Graduate students only.
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LS 5020 - Curriculum Workshop
Opportunity provided for teachers, supervisors and administrators in selected school systems to develop programs of curricular improvement. This may include short-term offerings to resolve a particular curricular problem, as well as long-range curriculum studies. A wide variety of resources is used for instructional purposes, including several specialists, library and laboratory facilities, field trips, audiovisual materials, and the like. Each offering of LS 5020 will be given an appropriate subtitle, which will be listed on the student’s official transcript.
Prerequisites/Corequisites: Prerequisite: Advisor approval.
Credits: 1-6 hours
Notes: Students may earn up to three hours of credit for any given subtitle. No more than three hours of LS 5020 may be applied toward the master’s degree with advisor approval.
Open to Upperclass and Graduate students.
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LS 5100 - Diversity in Language, Literacy, and Learning
This course explores how diversity influences language, literacy, and learning in K-8 settings. Students will examine and apply theories and research on instructional practices responsive to students’ local, national, and international histories, individual identities, and languages/dialects as they affect language and literacy learning. The course emphasizes language arts and literacy instruction that promotes social justice and critical engagement with complex issues related to maintaining a diverse, inclusive, and equitable society.
Credits: 3 hours
Notes: Open to upperclass and graduate students.
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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 hours
Notes: Open to Upperclass and Graduate students.
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LS 5220 - Teaching Reading with Children’s Literature
Engage candidates in a wide reading of children’s literature with particular application to classroom curriculum and instruction. Candidates will explore multiple genres of texts, both print and electronic, to support and enhance young students’ learning and develop methods for integrating children’s literature throughout the curriculum.
Credits: 3 hours
Notes: Open to Upperclass and Graduate students.
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LS 5260 - Teaching Reading with Adolescent Literature
Engage candidates in a wide reading of young adult literature with particular application to classroom curriculum and instruction. Candidates will explore multiple genres of texts, both print and electronic, to support and enhance adolescent students’ learning and develop methods for integrating young adult literature throughout the curriculum.
Credits: 3 hours
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 6100 - Theory and Research in Reading and Literacy Instruction
Designed to be the initial course in the Master of Arts in Literacy Studies. Content includes the theoretical and evidence-based foundations of reading and writing processes and instruction including major theories and research in literacy, both current and historical. Candidates will gain a solid, research-based foundation in the cognitive, linguistic, motivation, and socio-cultural foundations of reading and writing development, processes, and components.
Credits: 3 hours
Notes: Open to Graduate students only.
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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 K-12 teachers with reading theory and practice used in the process of reading to learn in content area classrooms. Candidates will learn to analyze a wide range of informational texts, both traditional and electronic, for factors that affect student learning. In addition, candidates will apply the foundations of reading and writing processes when developing and evaluation strategies and materials to enhance student learning in specific content areas.
Credits: 3 hours
Notes: Open to Graduate students only.
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LS 6180 - Literacy Acquisition and Reading Instruction
The purpose of this course is for candidates to use instructional approaches and materials in an integrated, comprehensive, balance curriculum to support student literacy learning. The course builds on literacy research related to language acquisition and language and reading development from the earliest years through adolescence, as well as the ties between oral language and literacy.
Credits: 3 hours
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 6240 - Reading Assessment and Effective Instruction
Throughout this course, candidates will use a variety of assessment tools and practices to plan and evaluate effective reading and writing instruction. Content includes analyzing different types of assessments, learning how to interpret the results, using this information to plan effective instruction for struggling readers, and ultimately communicating this information to a variety of audiences.
Prerequisites/Corequisites: Prerequisite: LS 6100 or LS 6180.
Credits: 3 hours
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 6300 - Teaching Reading in a Diverse Society
Designed to help candidates acquire awareness, understanding, respect, and a valuing of differences in society through creating effective literacy instruction for all students. Emphasis is placed on the ethical responsibility to provide differentiated curriculum materials and methods free from cultural and linguistic bias that are responsive to student interests and their reading development.
Prerequisites/Corequisites: Prerequisite: LS 6100 and LS 6180.
Credits: 3 hours
Notes: Open to Graduate students only.
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LS 6320 - Literacy Coaching
Literacy coaches are “professionals whose goal is to improve reading achievement in their assigned school or district positions” (International Reading Association, 2010, p. 103). This course is designed to investigate the professional learning and leadership role of the literacy coach with an emphasis on teacher mentoring and assessment of school literacy needs.
Prerequisites/Corequisites: Prerequisites: LS 6100, LS 6170 and LS 6240.
Credits: 3 hours
Notes: Open to Graduate students only.
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LS 6330 - Early Childhood Literacy
Focused on early/emergent literacy, this course explores the developmental aspects of young learners as they acquire reading and writing skills. Candidates will investigate and apply literacy assessments and instruction designed for young students.
Credits: 3 hours
Notes: Open to Graduate students only.
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LS 6340 - Adolescent Literacy
Focused on the adolescent learner, this course explores the particular reading and writing needs of middle and high school students. Candidates will investigate and apply literacy assessments and instruction designed for adolescent learners.
Credits: 3 hours
Notes: Open to Graduate students only.
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LS 6350 - Advanced Literacy Coaching
Building on the knowledge learned in LS 6300, this course is designed to prepare the candidate for higher, more formal levels of literacy coaching as is defined by the International Reading Association. In particular, candidates will be engaged in co-planning and co-teaching lessons with colleagues and planning and implementing professional development on effective literacy theory and practice.
Prerequisites/Corequisites: Prerequisites: LS 6100, LS 6170, LS 6240, LS 6300 and LS 6320.
Credits: 3 hours
Notes: Open to Graduate students only.
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LS 6360 - Advanced Clinical Studies in Reading
Building on the knowledge learned in the prerequisite courses, this course is designed to hone the candidate’s skills in the assessment of reading and writing achievement and difficulties to an advanced level of understanding and practice. Candidates will be involved in intensive tutoring and possible supervision of tutoring including advanced reading and writing assessments, interpretation, and instruction.
Prerequisites/Corequisites: Prerequisites: LS 6100, LS 6190, LS 6240, LS 6320 and LS 6400.
Credits: 3 hours
Notes: Open to Graduate students only.
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LS 6400 - Clinical Practice for Reading Specialists
Designed to give candidates individual and collaborative experience working with struggling readers in a supervised clinical environment. Candidates will implement assessments, interpret results, create effective literacy instruction based on student’s needs, and communicate with parents/guardians and relevant school personnel.
Prerequisites/Corequisites: Prerequisites: LS 6100, LS 6170, LS 6240 and LS 6320.
Credits: 3 hours
Notes: Open to Graduate students only.
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LS 6420 - Action Research Seminar
To be taken in the last six hours of the candidate’s program, this course engages the candidate in an action research study that centers on a professional aspect of literacy coaching. Topic is to be decided upon with discussion with program faculty.
Prerequisites/Corequisites: Prerequisites: LS 6100, LS 6170, LS 6240, LS 6320 and LS 6400.
Credits: 3 hours
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 hours
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 hours
Notes: Open to Upperclass and Graduate students.
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MATH 5100 - Applied Matrix Algebra
A second course in linear algebra with emphasis on linear systems, inner products, eigenvalues, eigenvectors, matrix decompositions, and their applications. Topics may include LU, QR and singular value decompositions, as well as symmetric, positive definite, and Hermitian matrices and the spectral theorem.
Prerequisites/Corequisites: Prerequisites: MATH 2300 or MATH 3740.
Credits: 3 hours
Notes: Open to Upperclass and Graduate students.
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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 hours
Notes: Open to Upperclass and Graduate students.
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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 MATH 3740). MATH 3140 is recommended.
Credits: 3 hours
Notes: Open to Upperclass and Graduate students.
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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 hours
Notes: Open to Upperclass and Graduate students.
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MATH 5501 - Teaching of Middle School Mathematics
This course considers curriculum issues and trends in middle school mathematics focusing on methods and materials for teaching mathematics effectively to middle school students. Activity and laboratory approaches for teaching mathematics are emphasized.
Prerequisites/Corequisites: Prerequisite: MATH 5540 with a grade of “C” or better, or instructor approval.
Credits: 3 hours
Restrictions Restricted to majors in Elementary/Middle School Mathematics.
Notes: This class has four contact hours per week to accommodate student collaborations and field experiences in local schools. Open to Upperclass and Graduate students.
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MATH 5511 - Computing Technology in Middle School Mathematics
This course introduces uses of computing technology to enhance and extend the learning of mathematical topics in middle grades through secondary school. Emphasis is placed on the use of technology in problem solving and concept development.
Prerequisites/Corequisites: Prerequisite: MATH 5501 and MATH 5550 with a grade of “C” or better, or instructor approval.
Credits: 3 hours
Restrictions Restricted to majors in Elementary/Middle School Mathematics.
Notes: A graphing calculator is required. This course has four contact hours per week to accommodate student collaborations and use of specialized computer software. Open to Upperclass and Graduate students.
When Offered: Fall, Spring
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MATH 5531 - Number Systems and Proportional Reasoning for Middle Grades Teachers
This course provides an opportunity for middle school teachers to enhance their ability to reason proportionally through explorations of linearity and right triangle trigonometry with a focus on inquiry and the use of digital tools. Attention will be given to multiple representations (e.g., verbal descriptions, table of values, graphs, and symbolic function rules) of the proportional relationships. Similarities and differences among the systems on integers, rational numbers, and real numbers will also be examined along with the historical development of these number systems.
Prerequisites/Corequisites: Prerequisites: MATH 1500, MATH 1510, and MATH 2650 with a grade of “B” or better in all prerequisites, or instructor approval.
Credits: 4 hours
Restrictions Restricted to majors and minors in Elementary/Middle School Mathematics.
Notes: May be taken in conjunction with MATH 3520. Open to Upperclass and Graduate students.
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MATH 5540 - Functions and Modeling for Middle Grades Teachers
This course provides an opportunity for middle school teachers to both deepen and expand their understanding of functions through the exploration of linear and exponential function families as well as power functions, polynomial functions, and common logarithmic functions. Attention will be given to multiple representations (e.g., verbal descriptions, tables of values, graphs, and symbolic function rules), to special characteristics of functions (e.g., patterns of change, intercepts, extrema, end behavior), and to modeling with functions. Digital tools will be used throughout the course to facilitate student learning. Open to Upperclass and Graduate students.
Prerequisites/Corequisites: Prerequisites: MATH 3520 with a grade of “B” or better and MATH 5531 with a grade of “C” or better, or instructor approval.
Credits: 4 hours
Restrictions Restricted to majors and minors in Elementary/Middle School Mathematics.
Notes: Open to Upperclass and Graduate students.
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MATH 5550 - Concepts of Calculus for Middle Grades Teachers
This course provides an opportunity for middle school teachers to extend their understanding of function and develop an understanding of the conceptual underpinnings of differential and integral calculus through inquiry and applied problem solving that makes extensive use of digital tools. Attention will be given to historical perspectives of calculus.
Prerequisites/Corequisites: Prerequisites: MATH 5540 with a grade of “C” or better or instructor approval.
Credits: 4 hours
Restrictions Restricted to majors in Elementary/Middle School Mathematics.
Notes: May be taken in conjunction with MATH 5501. A graphing calculator is required. For specific model see the Mathematics department website. Open to Upperclass and Graduate students.
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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 MATH 3140. MATH 3300 is recommended.
Credits: 4 hours
Notes: Open to Upperclass and Graduate students.
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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 hours
Notes: Open to Upperclass and Graduate students.
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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 hours
Notes: Open to Upperclass and Graduate students.
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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 hours
Notes: Open to Upperclass and Graduate students.
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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 hours
Notes: Open to Upperclass and Graduate students.
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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: Instructor approval.
Credits: 1 to 3 hours
Notes: This course may be repeated for credit. 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. Open to Upperclass and Graduate students.
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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: Department approval.
Credits: 1 to 6 hours
Notes: May be repeated for credit. Open to upperclass and graduate students.
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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 instructor approval.
Credits: 3 hours
Notes: Open to Graduate students only.
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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.
Prerequisites/Corequisites: Prerequisites: MATH 2720 and instructor approval.
Credits: 3 hours
Notes: If the material covered is significantly different, this course may be repeated for credit with approval of the instructor. 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 hours
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 hours
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.
Credits: 3 hours
Notes: May be repeated for credit. 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: Advisor approval.
Credits: 3 hours
Notes: This course is primarily for teachers and ordinarily will not apply towards the Master of Arts in Mathematics. Open to Graduate students only.
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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.
Credits: 3 hours
Notes: Summer Institute Students only. This course is primarily for teachers and ordinarily will not apply towards the Master of Arts in Mathematics. Open to Graduate students only.
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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: Advisor approval.
Credits: 3 hours
Notes: This course is primarily for teachers and ordinarily will not apply towards the Master of Arts in Mathematics. Open to Graduate students only.
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MATH 6170 - Survey of Discrete Mathematics
The principle objectives of this course are for students to obtain an understanding of discrete and combinatorial mathematics. The course will process through the study of elementary topics such as number sequences and generating functions to advanced topics such as exponential generating functions and plane partitions.
Prerequisites/Corequisites: Prerequisite: Approval of advisor from the Master of Arts in Mathematics Education program.
Credits: 3 hours
Notes: This course is primarily for teachers and ordinarily will not apply towards the Master of Arts in Mathematics. Open to Graduate students only.
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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 hours
Notes: Open to Graduate students only.
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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 hours
Notes: Open to Graduate students only.
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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 hours
Notes: Open to Graduate students only.
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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 hours
Notes: Open to Graduate students only.
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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 hours
Notes: Open to Graduate students only.
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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 5070 and either (MATH 5100 or MATH 5300).
Credits: 3 hours
Notes: Open to Graduate students only.
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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 hours
Notes: May be repeated for credit. Open to Graduate students only.
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MATH 6400 - Graph Theory I
This course and MATH 6410 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: Advisor approval.
Credits: 4 hours
Notes: Open to Graduate students only.
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MATH 6410 - Graph Theory II
Continuation of MATH 6400.
Prerequisites/Corequisites: Prerequisite: MATH 6400
Credits: 4 hours
Notes: Open to Graduate students only.
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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: Instructor approval.
Credits: 3 hours
Notes: Open to Graduate students only.
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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.
Prerequisites/Corequisites: Prerequisite: Instructor approval.
Credits: 3 hours
Notes: May be repeated for credit. Open to Graduate students only.
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MATH 6460 - Combinatorics
This course is divided into two parts. The first part gives a gentle introduction to the subject and covers basic counting techniques (including the inclusion-exclusion principle), recurrence relations and generating functions, and discrete probability with the basic probabilistic method. The second part deals with more challenging topics such as combinatorial designs (including Steiner systems), posets (including the Möbius function), enumeration under group action, and extremal set theory (including Sperner’s and intersecting families, and the Littlewood-Offord problem).
Credits: 3 hours
Restrictions Restricted to master’s and doctoral students in computational mathematics, mathematics education, collegiate math education, or mathematics.
Notes: Open to Graduate students only.
When Offered: Spring every other year.
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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.
Prerequisites/Corequisites: Prerequisite: Advisor approval.
Credits: 3 hours
Notes: May be repeated for credit. Open to Graduate students only.
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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: Advisor approval.
Credits: 3 hours
Notes: This course is primarily for teachers and ordinarily will not apply towards the Master of Arts in Mathematics. Open to Graduate students only.
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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: Advisor approval.
Credits: 3 hours
Notes: This course is primarily for teachers and ordinarily will not apply towards the Master of Arts in Mathematics. Open to Graduate students only.
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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 in one of four strands of mathematics: algebra, geometry, probability and statistics, or discrete mathematics.
Prerequisites/Corequisites: Prerequisite: Advisor approval.
Credits: 3 hours
Notes: This course is primarily for teachers and ordinarily will not apply towards the Master of Arts in Mathematics. May be repeated for credit with the approval of the student’s advisor. Open to Graduate students only.
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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 either (MATH 6530 or MATH 6520) and MATH 6540, or advisor approval.
Credits: 3 hours
Notes: Open to Graduate students only.
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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: Advisor approval.
Credits: 2 hours
Notes: Open to Graduate students only.
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MATH 6570 - Issues and Trends in Mathematics Education
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: Advisor approval.
Credits: 3 hours
Notes: Open to Graduate students only.
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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: Advisor approval.
Credits: 3 hours
Notes: Open to Graduate students only.
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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: Advisor approval.
Credits: 3 hours
Notes: Open to Graduate students only.
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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 MATH 5710.
Credits: 3 hours
Notes: Open to Graduate students only.
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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 6700
Credits: 3 hours
Notes: Open to Graduate students only.
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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 hours
Notes: Open to Graduate students only.
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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 hours
Notes: Open to Graduate students only.
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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: Department approval.
Credits: 1 to 3 hours
Notes: May be repeated for credit. Open to Graduate students only.
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MATH 6900 - Seminar in Applied Mathematics
May be repeated for credit.
Prerequisites/Corequisites: Prerequisite: Department approval.
Credits: 1 to 3 hours
Notes: Open to Graduate students only.
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MATH 6920 - Seminar in Topology
May be repeated for credit.
Prerequisites/Corequisites: Prerequisite: Department approval.
Credits: 1 to 3 hours
Notes: Open to Graduate students only.
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MATH 6930 - Seminar in Algebra
May be repeated for credit.
Prerequisites/Corequisites: Prerequisite: Department approval.
Credits: 1 to 3 hours
Notes: Open to Graduate students only.
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MATH 6940 - Seminar in Graph Theory
May be repeated for credit.
Prerequisites/Corequisites: Prerequisite: Department approval.
Credits: 1 to 3 hours
Notes: Open to Graduate students only.
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MATH 6950 - Seminar in Mathematics Education
May be repeated for credit.
Prerequisites/Corequisites: Prerequisite: Department approval.
Credits: 1 to 3 hours
Notes: Open to Graduate students only.
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MATH 6970 - Seminar in Analysis
May be repeated for credit.
Prerequisites/Corequisites: Prerequisite: Department approval.
Credits: 1 to 3 hours
Notes: Open to Graduate students only.
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MATH 6990 - Reading and Research
May be repeated for credit.
Prerequisites/Corequisites: Prerequisite: Department approval.
Credits: 1 to 6 hours
Notes: Open to Graduate students only.
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MATH 7120 - Professional Field Experience
Please refer to the Graduate College section for course descriptions.
Prerequisites/Corequisites: Prerequisite: Department approval.
Credits: 2 to 12 hours
Notes: May be repeated for credit. Graded on a Credit/No Credit basis. Open to Graduate students only.
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MATH 7300 - Doctoral Dissertation
Please refer to the Graduate College section for course descriptions.
Prerequisites/Corequisites: Prerequisite: Department and Graduate College approval; approved application.
Credits: 1 to 15 hours
Notes: May be repeated for credit. Graded on a Credit/No Credit basis. Open to Graduate students only.
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MATH 7350 - Graduate Research
Please refer to the Graduate College section for course descriptions.
Prerequisites/Corequisites: Prerequisite: Department approval.
Credits: 2 to 10 hours
Notes: May be repeated for credit. Graded on a Credit/No Credit basis. Open to Graduate students only.
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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 to 3 hours
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 hours
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 hours
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 hours
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 hour
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 hour
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 hour
Notes: Open to Graduate students only.
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