## Chapter XI. Course Descriptions

**SCHOOL OF MATHEMATICS, SCIENCE, & ENGINEERING**

### Biology (BIOL)

**BIOL 6345 Biogeography**

Analysis of present and past global patterns of distribution of plants and animals and the ecological, evolutionary, and tectonic factors that have influenced these patterns.

**BIOL 6370 Molecular Biology**

Study of the structure, expression, replication, and recombination of DNA. Discussion of current technology of recombinant DNA, its application in medicine, agriculture, and industry, and its implications in contemporary society.

**BIOL 6373 Tropical Parasitology**

Study of the biology and systematics of parasitic organisms with a special emphasis on etiological agents of human diseases prevalent in tropical climates.

**BIOL 6375 Medical Microbiology**

The mechanisms of host defense, pathogenesis, and antimicrobial therapy. A survey of medically important bacteria and viruses and their epidemiology. Brief introductions to medical mycology and protozoology.

**BIOL 6380 Virology**

The structure, replication and properties of viruses. The molecular organization of viral genomes will be analyzed. The interactions of viruses with host immune systems will be presented. Vaccinations and chemotherapies to prevent or cure viral infections will be discussed.

**BIOL 6385 Immunology**

The function of the immune system with regard to innate immunity, the recognition of foreign antigens, the development and function of lymphocytes, and the health consequences of immune failure.

**BIOL 6392/7392 Advanced Human Physiology**

Human physiology with major emphasis on the nervous, endocrine, digestive, circulatory, respiratory, and excretory systems.

**BIOL 6399/7399 Selected Topics in Biology**

Offered on a need basis to include Ecological Mapping GPS/GIS or other offerings..

**BIOL CE90 Comprehensive Exam**

A written examination covering three questions from graduate faculty who have been selected by the candidate and the Graduate Advisor. Fee.

**BIOL 63TP/63TR Thesis Proposal/Thesis Research**

Laboratory or field-based research, under the direction of a member of the graduate faculty, leading to completion of a Master’s Thesis. The research is based upon a Thesis Proposal, which should be completed by the time admission to candidacy is filed, i.e., before the student registers for the last 18 hours of graduate study.

### Mathematics (MATH)

**MATH 6311 Higher Abstract Algebra I**

Prerequisite: An undergraduate course in abstract or linear algebra. The first semester is devoted primarily to group theory. Topics include basic properties of groups, homomorphisms, Sylow theorems, and basic properties of rings, fields and integral domains.

**MATH**** 6312 Higher Abstract Algebra II**

Prerequisites: MATH 6311, Higher Abstract Algebra I or its equivalent. Topics covered in the second semester include vector spaces and modules, extensions of fields, Galois theory, linear transformations and matrices.

**MATH 6313/7313 Number Theory**

Prerequisite: MATH 3325 Abstract Algebra and Number Theory, MATH 2313, Calculus II, or their equivalents. Topics include primes and divisibility, congruence, quadratic residues, approximation of real numbers, continued fractions, Diophantine equations, and arithmetic functions.

**MATH 6315/7315 Mathematical Logic and Set Theory**

Prerequisite: MATH 3320, Foundations of Mathematics, and MATH 3325 Abstract Algebra and Number Theory, or their equivalents. Topics include propositional calculus, first order logic, model theory, Zermelo-Fraenkel Axioms, ordinals and cardinals, Axiom of Choice, and uncountable sets.

**MATH 6316 Combinatorics**

Prerequisites: Abstract Algebra, Number Theory, Discrete Mathematics or consent of instructor. Topics include the counting principles, pigeon-hole principal, inclusion and exclusion, generating functions, designs and codes, Ramsey theory, graph theory and transversal theory.

**MATH 6320/7322 Advanced Geometry**

Topics may include, but are not limited to, axiomatic systems, Euclidean Geometry, non-Euclidean Geometry, and a brief introduction to projective geometry and topology. Proofs will be emphasized in this course.

**MATH 6321 Topology I**

Prerequisite: Undergraduate Real Analysis. Topics include cardinal and ordinal arithmetic, topological spaces, compactness, connectedness, continuity, homeomorphisms, metrization and paracompactness.

**MATH 6322 Topology II**

Prerequisites: MATH 6321, Topology I or its equivalent. Topics from algebraic topology and geometric topology.

**MATH 6323 Continuum Theory**

Topics include inverse limits, hyperspaces, Peano continua, dentrites, irreducible continua, and pseudo-arcs.

**MATH**** ****6332/7332 Introduction to Analysis**

This is a three-hour course which includes real number system, set theory and elementary topological properties of the real line, continuity and differentiability, sequences and series, uniform convergence, Riemann integration, and improper integrals. Some introduction to measure theory and the Lebesgue integral may be included if time permits.

**MATH**** ****6334/7334 Introduction to Abstract Algebra **

This is a three-hour course that covers topics including finite fields, commutative rings, fields, structure of groups, unique factorization, and advanced optional.

**MATH**** ****6336/7336 Introduction to Number Theory**

This is a three-hour course which includes the study of the division algorithm, the Euclidean algorithm, elementary properties of primes, congruences including Fermat's and Euler's theorem, and the Prime Number Theorem, and the generation of Fibonacci numbers or Pythagorean triples.

**MATH**** ****6338/7338 Euclidean and Non-Euclidean Geometry**

This is a three-hour course that includes a rigorous treatment of the fundamentals of plane geometry, and spherical, elliptical, and hyperbolic geometries.

**MATH 6341 Real and Complex Analysis I**

Prerequisite: Calculus III or consent of the Instructor. Topics include the real and complex number system, elementary cardinal arithmetic, metric spaces, with emphasis on Euclidean spaces, convergence, continuity, completeness, differentiability, and normed linear spaces.

**MATH 6342 Real and Complex Analysis II **

Prerequisite: Successful completion of MATH 6341. Topics include integration: Riemann, Stieltjes, and Lebesque integrals, measure theory, uniform convergence, analytic functions, Cauchy integral formula, residue theory, absolute continuity, bounded variation.

**MATH**** 6345/7345 Numerical Analysis**

Topics for this one semester course include some discussion about floating point arithmetic, essential topics in numerical algebra, numerical calculus, numerical linear algebra, and numerical solutions to ordinary differential equations. Programming experience is encouraged.

**MATH**** ****6348 Introduction to Mathematics Education Literature **

This is a three-hour course designed to introduce the student to the current literature in mathematics education research. The major tools used in research in the field will be explored.

**MATH 6351 Dynamical Systems**

Prerequisites: Calculus III, Linear Algebra, Differential Equations or consent of instructor. Topics are selected from the following: Linear systems, discrete and continuous dynamical systems, fixed points, periodicity and chaos, Sarkovskii’s Theorem, bifurcation, fractals and symbolic dynamics, complex dynamical systems. May be repeated for credit when topics vary.

**MATH 6355/7355 History of Contemporary Mathematics**

This course is a historical development of contemporary mathematics, including the inception of calculus, the concept of infinitesimal, and the need for precise treatment of limit theory that leads to the study of real number theory and ultimately to set theory. Discussion includes the historical development of at least one branch of contemporary mathematics such as Modern Algebra, Mathematical Analysis, Modern Geometry, Topology, or Probability and Statistics. There will be a research component to this course.

**MATH 6361 Advanced Probability and Statistics I**

3 hours credit. Prerequisite: MAT 4331 or equivalent.

**MATH 6362 Advanced Probability and Statistics II**

3 hours credit. Prerequisite: MAT 4378 and MAT 6361 or equivalent.

**MATH 6363/7363 Research Statistics **

This course will enable students to interpret and use descriptive statistics, properties of the normal curve, parametric hypothesis tests (single-sample and two-sample), analysis of variance, correlation, simple linear regression, and introductory non-parametric tests. The course will emphasize application and will incorporate the use of a computer package (SPSS) in statistics.

**MATH 6364/7364 Advanced Quantitative Research**

Prerequisite: MATH 6363 or equivalent. This course will enable students to interpret and use properties of correlation, simple and multiple linear regression, various analysis of variance designs, and time series. The course will emphasize application and will incorporate the use of a computer package in statistics.

**MATH 6367 Statistical Software Packages**

This is a three-hour course that covers an introduction to the use of statistical or mathematical applications for data analysis.

**MATH 6369 Design of Experiments**

This is a three-hour course that covers the principles, construction, and analysis of experimental designs.

**MATH 6374 Applied Forecasting**

This is a three-hour course that covers topics advanced demographics and statistical methods. It will include applications of demographic techniques in marketing, management and impact analysis in business and government.

**MATH 6370/7370 Mathematics Content and Pedagogy, K-5**

This course covers those mathematical topics considered as essential elements for teachers of elementary school mathematics. Development of the number system beginning with the Peano Postulates, including real numbers, complex numbers, cardinal numbers, and ordinal numbers. Algebraic properties of the number system will be investigated as groups, rings, and fields. The use of manipulatives and a student-centered approach to learning is stressed to teach skills and concepts appropriate for grades K-5. This course may not count toward a Master of Science in Mathematics.

**MATH 6372/7372 Integration of Mathematics and Science, K-5**

This is a three-hour course in which national and state standards and learning theory in mathematics and science education are used to support conjectures and conclusions about the benefits and challenges of integrating mathematics and science in the elementary classroom. Content topics and the use of student-centered strategies to teach skills and concepts appropriate for Grades K-5 are considered.. This course may not count toward a Master of Science in Mathematics.

**MATH 6375/7375 Mathematics Content and Pedagogy,**** ****6-12**

This is a three hour course that covers those mathematical topics considered as essential elements for teachers of middle and high school mathematics. Topics include the properties of the Real line and the Cartesian plane and the foundations of plane and spherical geometry. The use of manipulatives and activities is stressed to teach skills and concepts appropriate for grades 6-12.

**MATH 6376/7376 Integration of Mathematics and Science, 6-8**

This is a three-hour course in which national and state standards and learning theory in mathematics and science education are used to support conjectures and conclusions about the benefits and challenges of integrating mathematics and science in the middle school classroom. Content topics and the use of student-centered strategies to teach skills and concepts appropriate for middle school grades are considered. This course may not count toward a Master of Science in Mathematics.

**MATH 6381/7381 Integration of Mathematics and Science, 9-12**

This is a three-hour course in which national and state standards and learning theory in mathematics and science education are used to support conjectures and conclusions about the benefits and challenges of integrating mathematics and science in the high school classroom. Content topics and the use of student-centered strategies to teach skills and concepts appropriate for high school grades are considered. This course may not count toward a Master of Science in Mathematics.

**MATH 6382 Linear Algebra and Matrix Theory **

This is a three-hour course that covers topics in vector space and matrix theory. It will include vector space, linear operators, determinants, elementary canonical forms and inner product space. Mathematics programming techniques for regression and classification analysis will also be included.

**MATH 6384 Statistical Research**

This is a three-hour course that covers the theory and applications of mathematical programming techniques applied to statistical analysis. It combines research and application of the learning experience in research statistics. Topics and project will be approved and evaluated by the Research Committee.

**MATH 6388 Statistical Internship **

This course includes supervised experience in applying statistical or mathematical methods to real problems in a business, education or government agency

**MATH 6385/7385 Instructional Technology in Mathematics and Science**

This course is designed to promote the uses of hand-held and computer technology in both mathematics and science for grades 7-12. The course will familiarize participants with the use of a variety of graphing calculators, data collection devices, and computer software packages. This course may not count toward a Master of Science in Mathematics.

**MATH 6399/7399 Selected Topics**

Topics may include algebra, analysis, etc. These courses may be repeated for credit when topics vary. Such repeated credit is subject to approval by the Graduate Program Director upon recommendation by the Supervisory Committee and the instructor in the course.

**MATH 63CSa Capstone in Mathematics Teaching**

Integrative experience that combines research and application of the learning experience in mathematics and mathematics education. Topic and project is approved and evaluated by the capstone committee. Prerequisite: Completion of 27 hours of the master’s program.

**MATH 63CSb Capstone in Mathematics**

Integrative experience that combines research and application of the learning experience in mathematics. Topic and project is approved and evaluated by the capstone committee. Prerequisite: Completion of 27 hours of the master’s program.

**MATH CE90 Comprehensive Examination. Fee. **

**MATH**** 63TP/63TR—Thesis Proposal/Thesis Research **

**MATH 8320—Readings in Mathematics Education**** **

This is a 3 hour course designed to introduce the student to the current literature in mathematics education research. The major tools used in research in the field will be explored.

**MATH 8325 Research and Development of Mathematics Programs**

This is a 3-hour course whose purpose is to prepare leaders in mathematics education to support the research and development of mathematics programs in K-12 education.

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**Multidisciplinary Sciences Program**

**GEOL 6310/7310 Earth Science I**

Essential elements and concepts of geology and oceanography are examined through inquiry-based activities. Topics and hands-on activities include rocks and minerals, fossils, weathering, erosion and soils, volcanoes, earthquakes, plate tectonics, topographic maps, ocean composition, ocean currents, marine life, ocean floor topology and seafloor spreading.

**GEOL 6315/7315 Earth Science II**

Essential elements and concepts in astronomy and meteorology are examined through inquiry-based activities. Topics and hands-on activities include telescopes, constellations, solar and lunar phases, tides, comets, asteroids, and meteors, spectroscopy, planets, solar systems, and galaxies, weather, atmospheric phenomena, hurricanes and tornadoes.

**PHYS 6310/7310 Energy, Forces, and Motion**

Principles and applications of the physical laws will be examined through demonstrations and calculator/computer-based activities. Topics include kinetic definition of temperature, pressure resulting from momentum changes of molecules, energetics of work, kinetic and thermal energies, energy conservation and entropy, and Newton’s laws of motion.

**PHYS 6315/7315 Electricity and Magnetism **

This course examines in depth the concepts of Coulomb’s Law, electric circuits and magnetism. Activities include application of traditional laboratory apparati, remote sensing probes, computer-based activities, and graphing calculators.

**CHEM 6305/7305 Matter, Properties, and the Periodic Table**

Matter is examined with regard to the kinetic particle model. Experiments and demonstrations are conducted with the kinetic particle model to predict and explain outcomes of chemical processes. States or matter are described in terms of molecular motion and spacing. The periodic table is introduced as a tool in chemical research. Materials will be experimentally examined and classified as elements, compounds, or mixtures, and the elements within the periodic table are organized.

**CHEM 6310/7310 Topics in Environmental and Bio-Organic Chemistry**

This course examines chemical reactions that directly affect the environment and human processes. The structure of atoms, ions, and the chemical bond is discussed. Chemical reactions will be examined and described using balanced chemical equations. Organic nomenclature and biochemical reactions are discussed in depth. Investigations include analysis of environmental quality, extraction and synthesis of organic compounds.

**BIOL 6305/7305 Selected Topics in Ecology and Diversity**

This course extends in depth content in selected topics of ecology and biological diversity, integrated with key mathematical principles of algebra. Three principles of biological knowledge are emphasized: interactions and interdependence; structure and function; and change and homeostasis. The course is instructed in a learning cycle format that emphasizes laboratory activities and independent student work in explanations and extensions. Computer-based technology will be applied for data acquisition and analysis.

**BIOL 6310/7310 Topics in Cell and Molecular Biology**

This course extends in depth content in the topic areas of biological matter and energy, and molecular and cellular physiology. Three principles of biological knowledge are emphasized: interactions and interdependence; structure and function; and change and homeostasis. This course is instructed in a learning cycle format that emphasizes laboratory activities and independent student work in explanations and extensions. Computer-based technology will be applied for data acquisition and analysis.

**BIOL 63CS Multidisciplinary Sciences Implementation**

This capstone course extends the content knowledge acquired in the multidisciplinary content courses through selected readings and discussion of current topics in mathematics and science education reform. Participants will revise and/or develop a comprehensive curriculum for grade level 6-8, and implement activities in their classroom.

**Nutrition (NUTR)**

**NUTR 6100 Dietetics**

Concentrated preparation for dietetic practice focusing on basic skills and knowledge necessary for entering supervised practice experienced in clinical dietetics, community nutrition programs, and foodservice management. Prerequisites: Admission to the Dietetic Internship Program and Instructor’s Signature.

**NUTR 6200 Community Nutrition Practice**

Work site placement experience in community nutrition organizations and agencies. Didactic presentation focuses on current issues and topics to help students develop the skills necessary to provide community nutrition services, such as assessment of community nutrition needs, nutrition education of community groups, and implementation of community nutrition programming. Prerequisites: Admission to the Dietetic Internship Program and Instructor’s signature.

**NUTR 6290 Practicum in Nutrition**

Supervised work experience in nutrition-related setting. Prerequisite: NUTR 4460 and 4475.

**NUTR 6300 Foodservice Management Practice**

Work site placement experience in food service settings. Didactic presentation focuses on current issues and topics to help students develop the skills necessary to manage foodservice systems, including production, inventory control, sanitation, quality management, financial management, facility and human resource management. Prerequisites: Admission to the Dietetic Internship Program and Instructor’s signature.

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**NUTR 6325 Advanced Nutrition I**

Current status of nutrition theory and its interpretation together are considered in diet assessment, nutrient interrelationships and metabolism in maintaining health and the prevention and development of chronic diseases. This course focuses on the macronutrients and energy metabolism. Prerequisite: BIOL 6392 or concurrent enrollment.

**NUTR 6330 Advanced Nutrition II**

Current status of nutrition theory and its interpretation together are considered in nutrient interrelationships and metabolism in maintaining health and the prevention and development of cancer, cardiovascular diseases, and diabetes mellitus. This course focuses on vitamin and mineral requirements. Prerequisite: NUTR 6325, BIOL 6392.

**NUTR 6334/7334 Nutrition and Health Promotion Practice: Program Planning and Evaluation**

Course utilizes a theoretical framework to guide and facilitate the planning, implementation and evaluation of nutrition/health promotion programs. Specific assessment and evaluation techniques are explored. Course requires the application of skills and knowledge to increase professional competence and effectiveness in program planning and evaluation.

**NUTR 6342 Lifecycle Nutrition**

This course is an examination of nutrition requirements and assessment, and dietary intake during gestation, infancy, childhood, adolescence and senescence. Integration of current research will focus on nutritional issues related to these lifecycle stages and on long-term health.

**NUTR 6352 Issues in Food and Nutrition**

Analysis of food and nutrition issues including non-nutritive food substances. Impact of these issues on food choices, public policy, global perspectives, and future practice of food and nutrition professionals will be explored.

**NUTR**** 6366 Advanced Clinical Nutrition**

Modern concepts of clinical nutrition and abnormalities treated by modified diets. Students will critically evaluate the scientific literature relating the medical nutrition therapy treatments and diet patterns currently used. Prerequisite: NUTR 4475 or experience in medical nutrition therapy.

**NUTR 6391 Tutorial in Nutrition**

Student will choose and develop a topic in any area of nutrition. The grade will be determined by evaluation of regular reports, regular conferences with faculty sponsor, periodic examinations, and final examination, or any combination of these methods.

**NUTR 6400 Clinical Dietetics Practice**

Work site placement experience in inpatient and outpatient health care settings. Didactic presentation focuses on current issues and topics to help students develop the skills necessary to provide medical nutrition therapy care, including screening, assessment, education and care planning development, nutrition support, and participation in quality management. Prerequisites: Admission to the Dietetic Internship Program and Instructor’s signature.

**NUTR 6414 Advanced Nutrition Services Administration**

This course focuses on the application of management and leadership principles and techniques specific to the provision of nutrition services in clinical and community settings. Emphasis is placed on using evidence-based practice guidelines in the creation of program protocols, evaluation systems, and overall program development. Prerequisite: NUTR 4460, 4475.

**NUTR 6464 Nutrition and Health Behavior**

Major learning and health behavior theories are applied to the practice of nutrition, dietetics and health promotion. Techniques for interviewing, motivating and counseling, and their application to groups and individuals, are explored. Course requires the application of skills and knowledge to increase professional competence and effectiveness in promoting health behavior change.

**NUTR 6XCS Master’s Project**

The Master’s Project is an integration of graduate level coursework with research and communication skills to develop and report on a tangible nutrition project that addresses a concern of the community or an area of interest of the student. The course is taken for two semesters for a minimum of total of 3 to 4 hours of credit. Prerequisites: Graduate level research class or MATH 6363 plus 9 additional semester hours of graduate didactic coursework in the master’s program. Permission of instructor is required.

**NUTR 63TP/6XTR Thesis Proposal/Thesis Research**

**NUTR CE90 Comprehensive Examination. Fee.**** **