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Collection Development Guide: Mathematics: Selection Criteria

Introduction

We will purchase material at the Instructional level (2) and Research Level (3), for the library’s collection in support of the following degree programs: 

Selection Criteria: Undergraduate

1300 Pre-College Algebra. A course to remediate and review basic academic skills in mathematics, including number concepts, computation, elementary algebra, geometry and mathematical reasoning.
1311 Basic Mathematics. Topics include linear equations and inequalities, rational expressions, exponents and radicals, quadratics and word problems. 
1315 (Math 1314) College Algebra. A course covering linear and quadratic equations, inequalities, word problems, functions, logarithms, systems of equations and other college algebra topics as time permits. 
1316 A Survey of Contemporary Mathematics. A study of the uses of mathematics in society today. 
1317 (Math 1316) Plane Trigonometry. A course covering trigonometric functions, right triangles, radian measure, graphs of trigonometric functions, trigonometric identities, including multiple and half-angle identities, inverse trigonometric functions, trigonometric equations, oblique triangles, and complex numbers.
1319 (Math 1324) Mathematics for Business and Economics I. Topics from college algebra and finite mathematics which apply to business and economics including applications of equations and inequalities, simple and compound interest and annuities. 
1329 (Math 1325) Mathematics for Business and Economics II. Topics from finite mathematics and elementary differential calculus which apply to business and economics.
2311 (Math 1350) Principles of Mathematics I. Logical deductive reasoning, number theory, a rational development of the real numbers with the associated number structures and algorithms for the fundamental operations, including historical, philosophical and cultural significance.
2312 (Math 1351) Informal Geometry. Geometric measuring. Euclidean Geometry, and topics associated with informal geometry, including historical, philosophical, and cultural significance. 
2321 (Math 2313) Calculus for Life Sciences I. Topics will include: graphs, derivatives, exponents and logarithms, scientific notation, sequences, summation, and applications. 
2328 (Math 2342) Elementary Statistics. Algebra-based introduction to descriptive statistics, random sampling, design of experiments, probability and the Central Limit Theorem. Inferential statistics topics include the foundational concepts for confidence intervals and hypothesis testing for simple experiments. 
2331 Calculus for Life Science II. Topics will include: trigonometric functions, probability, integral calculus, differential equations, and applications. 
2358 (Math 2305) Discrete Mathematics I. A study of discrete mathematical structures that are commonly encountered in computing hardware and software.
2417 (Math 2412) Pre-Calculus Mathematics. A survey of functions, trigonometry and analytic geometry to prepare students for calculus.
2471 (Math 2413) Calculus I. A first course in differential and integral calculus which stresses limits as well as the applications of calculus to the problems of science.
2472 (Math 2414) Calculus II. A continuation of differential and integral calculus including methods of integration, sequences and series, and introduction to partial derivatives.
3305 Introduction to Probability and Statistics. Basic probability models, generating functions and conditional probability, also discrete and continuous, univariate and bivariate distributions of random variables. Concepts of estimation, tests of hypothesis and statistical inference.
3315 Modern Geometry. Modern geometry with an emphasis on the triangle, circle, plane and Euclidian geometry, an historical aspects will be integrated into the course. May not be applied toward a minor in mathematics.
3323 Differential Equations. A course covering solutions to the more common types of ordinary differential equations, especially those of first and second order, with emphasis on geometrical and physical interpretations.
3325 Number Systems. Algebraic construction of the natural numbers. Covers the basic vocabulary and proof techniques of abstract algebra, and the structural properties of the natural numbers, integers, rational, real and complex number systems.
3330 Introduction to Advanced Mathematics. An introduction to the theory of sets, relations, functions, finite and infinite sets, and other selected topics. Algebraic structure and topological properties of Euclidean Space, and an introduction to metric spaces.
3348 Deterministic Operations Research. This course provides a broad view of deterministic operations research techniques. Topics include dynamic programming, linear and integer programming, deterministic inventory models, and sequencing problems.
3373 Calculus III. A course covering sequences and series, vectors, functions of several variables, partial derivatives, multiple integrals, line and surface integrals, and applications.
3375 Engineering Mechanics. A course covering statistics, using a vector approach to mechanics. The course is designed to satisfy the requirements of engineering Colleges.
3377 Linear Algebra. An introductory course in linear algebra covering vector spaces, linear transformation, matrices, systems of linear equations, and inner product spaces.
3380 Analysis I. A course covering the introduction to the theory of real functions. Topics include limits, continuity and derivatives and associated topics.
3398 Discrete Mathematics 
4302 Principles of Mathematics II. Topics such as modeling, measurement, statistics, probability, geometry and algebra concepts will be integrated with sound middle school pedagogical practices such as inquiry learning, use of manipulatives, problem-based learning, calculator use, co-operative learning, and peer presentations.
4304 Math Understandings. Basic concepts underlying algebra, geometry, trigonometry, and calculus taught from an advanced standpoint, including historical, philosophical, and cultural significance. May not be applied toward a minor in mathematics. Must be taken before student teaching. 
4305 Probability and Statistics. A course covering sample spaces, probability of events, binomial and multinomial distributions, random variables, normal approximations, statistical inference, and applications. 
4306 Fourier Series and Boundary Value Problems. Advanced solution methods for differential equations; partial differential equations; series approximations, Fourier series; boundary value problems typical of scientific applications.
4307 Modern Algebra. A course covering elementary set theory, structures, functions, and concepts of modern algebra.
4311 Introduction to the History of Mathematics. A survey of the development of major mathematical topics, including geometry, algebra, calculus, and advanced mathematics. Philosophical and cultural aspects will be integrated with the structure, theorems, and applications of mathematics. May not be applied toward a minor in mathematics. 
4315 Analysis II. Topics include integration, series and sequences of functions and associated topics.
4330 General Topology. Topics include introductory treatment of convergence, continuity, compactness, connectedness and fixed points in topological spaces with special emphasis on metric spaces.
4336 Studies in Applied Mathematics. Selected topics including Laplace transforms, complex variables, advanced calculus for applications, calculus of variations, integral equations, intermediate differential equations, vector analysis, etc.
4382 The Literature and Modern History of Mathematics and Its Applications. This course will focus on mathematical articles in recent journals. The articles will be re- written so that the proofs and comments are more easily understood by the casual reader.

Selection Criteria: Graduate

5111 Graduate Assistant Training.  This course is concerned with techniques used in the teaching of mathematics. 
5301 Partial Differential Equations.  Theory and application of partial differential equations; deduction of the differential equation; use of vector and Tensor methods; equations of the first order; wave equations; vibrations and normal functions; Fourier series and integral; Cauchy’s methods, initial data; methods of Green; potentials; boundary problems; methods of Reimann-Volterra; characteristics.
5303 History of Mathematics.  A study of the development of mathematics and of the accomplishments of men and women who contributed to its progress. 
5304 Topics in Mathematics for the Secondary Teacher.  current trends and topics found in the secondary school mathematics curriculum with the goal of improving the mathematical background of the secondary teacher. 
5305 Advanced Course in Probability and Statistics. 
5306 Ring Theory.  ring theory, commutative and non-commutative rings, examples, and applications adapted to the needs of the class.
5307 Modern Algebra.  
5311 Foundations of Differential Equations.  derivation equations, operator spaces, and such basic topics. 
5312 Functions of a Complex Variable. Modern developments in the field of a complex variable.
5313 Field Theory. field theory, separable extensions, and Galois Theory.
5314 Number Theory. quadratic forms, elementary number theory, algebraic or analytic number theory.
5317 Problems in Advanced Mathematics. 
5319 The Theory of Integration. theory of integration with special emphasis on the Lebesgue integrals.  
5329 General Topology. Point-set topology with an emphasis on general topological spaces; separation axioms, connectivity, the metrization theorem, and the C-W complexes.
5331 Metric Spaces.  Point-set topology with an emphasis on metric spaces and compactness but including a brief introduction to general topological spaces.
5336 Studies in Applied Mathematics. optimization and control theory, numerical analysis, calculus of variations, boundary value problems, special functions, or tensor analysis. 
5340 Scientific Computation.  analysis of algorithms from science and mathematics, and the implementation of these algorithms using a computer algebra system.  Symbolic numerical and graphical techniques will be studied.  Application will be drawn from science, engineering, and mathematics.
5345 Regression Analysis. formulation and statistical methodologies for simple and multiple regression, assessment of model fit, model design, and criteria for selection of optimal regression models.  Students will develop skills with the use of statistical packages and the writing of reports analyzing a variety of real-world data
5350 Combinatorics. permutations, combinations, Stirling numbers, chromatic numbers, Ramsey numbers, generating functions, Polya theory, Latin squares and random block design.
5355 Applied and Algorithmic Graph Theory.  theoretical and algorithmic aspects.  basic concepts such as connectivity, trees, planarity, coloring of graphs, matchings, and networks.  It also covers many algorithms such as Max-flow Min-cut algorithm, maximum matching algorithm, and optimization algorithms for facility location problems in networks.
5358 Applied Discrete Mathematics. Boolean algebra, counting techniques, discrete probability, graph theory, and related discrete mathematical structures that are commonly encountered in computer science.
5360 Mathematical Modeling. process and techniques of mathematical modeling.  It covers a variety of application areas from the natural sciences.  Emphasis is placed on deterministic systems, stochastic models, and diffusion.
5373 Theory of Functions of Real Variables. fundamental concepts of the calculus of real variables and the more recent developments of this analysis.
5376 Topics in Applied Statistics. topics in applied statistics, experimental design, stochastic modeling, time series, and computational statistics.
5376A Design and Analysis of Experiments. fundamental concepts in the design of experiments, justification of linear models, randomization and principles of blocking.  construction and analysis of basic designs including fractional replication, composite designs, factorial designs, and incomplete block designs.
5376B Analysis of Variance. basic methods, one-way, two-way ANOVA procedures, and multifactor ANOVA designs.
5381 Foundations of Set Theory. theory of sets, relations, functions, finite and infinite sets, set operations and understanding of mathematical logic and the writing of proofs.
5382 Foundation of Real Analysis. foundations of mathematical analysis.  Topics include: real numbers, sequences, series, and limits and continuity of functions.
5384 Geometric Approach to Abstract Algebra. Definitions and elementary properties of groups, rings, integral domains, fields and vector spaces with great emphasis on the rings of integers, rational numbers, complex numbers, polynomials, and the interplay between algebra and geometry.
5386 Knots and Surfaces, An Introduction to Low-Dimensional Topology. Knot polynomials and other knot invariants.  The topological classification of surfaces and topological invariants of surfaces.
5388 Discrete Mathematics. basic and advanced techniques of counting, recurrent relations, discrete probability and statistics, and applications of graph theory.
5390 Statistics. basic statistical ideas and techniques, also the mathematical and probabilistic underpinnings of these techniques with an emphasis on simulations and modeling. planning, conducting, analysis, and reporting of experimental data. 
5392 Survey of Geometries. topics in geometry including geometrical transformations, the geometry fractals, projective geometry, Euclidean geometry, and non-Euclidean geometry.

Mathematics Education (MTE)

5301/5302 Topics in Mathematics for the Middle School Teacher. designed to provide the general 4th-8th teacher with the constent knowledge necessary to effectively teach mathematics at the middle level.
5311 Quantitative Reasoning. focus on numerical reasoning and problem solving with particular attention being placed on strategies for solving problems, methods for mental computation and computational estimation, and algorithmic processes being taught in a student-centered atmosphere where teachers are free to take risks.
5313 Geometry and Measurement. focus on using spatial reasoning to investigate the concepts of direction, orientation, shape and structure; using mathematical reasoning to develop and prove geometric relationships; using logical reasoning and proof in relation to the axiomatic structure of geometry; using measurement of geometry concepts to solve real-world problems.
5315 Algebraic Reasoning. focus on using algebraic reasoning to investigate patterns, make generalizations, formulate mathematical models, and make predications; using properties, graphs, and applications of relations and function to analyze, model and solve problems; and making connections among geometric, graphic, numeric and symbolic representation of functions and relations.
5317 Math Modeling. modeling problems, applying appropriate mathematical analysis and drawing conclusions from the analysis; solving problems recursively, using linear and non-linear functions and using geometry and discrete mathematics to solve problems in Science, Music, and Art.
5319 Concepts of Calculus. differential and integral calculus.  The student will explore the slope of secant lines, average velocity, limit, instantaneous velocity, derivative, slope of a curve at a point, area under a graph, integrals, fundamental theorem of calculus, and applications.
5321 Probability and Statistics. using graphical and numerical techniques to explore date, characterize patterns, and describe departures from patterns; designing experiments to solve problems; understanding the theory of probability and its relationship to sampling and statistical inference and its use in making and evaluating predication.
5323 Logic and Foundations of Mathematics. fundamental mathematical structures and techniques of proof.  Topics will include:  logic, set theory, number theory, relations, and functions.  Emphasis will be placed on communication about mathematics and construction of well-reasoned explanations.

Subject Criteria: Doctoral

ED 7111/7112 Collaborative Inquiry Project. Design needs assessment data and design an action plan for field-based research.
ED 7199A/7299B. Dissertation in Education-Adult, Professional, and Community Education.
ED 7199B/7299B. Dissertation in Education-School Improvement.
ED 7310. Instructional Roles in Counseling, Leadership, Adult Education & School Psychology.

ED 7311. Educational Philosophy in a Social Context. Examines the philosophical foundations of education from the time of Plato through current writings. 

ED 7312. Leadership and Organizational Change.

ED 7313. Advanced Studies in Adult Learning and Development. Characteristics of adult learners; models of adult cognitive and psychosocial development; adult cognition, memory, and intelligence; and principles for facilitating adult learning. 
ED 7314. Community Development for Educators.

ED 7315. Models of Inquiry: Understanding Epistemologies. Philosophies informing different research epistemologies, and examples of how these can be actualized methodologically. Philosophies to be analyzed include feminism, and race-based theory. 
ED 7316. Advanced Studies in Adult Development. Current theories of adult development, fundamental developmental changes in adulthood, and the implications for practice in adult education.
ED 7318. Advanced Studies in Adult Learning. Examine research and theoretical literature on a variety of topics related to adult learning such as: characteristics and diversity of adult learners; key theories of adult learning; alternative perspectives on adult learning; intelligence, aging and wisdom; and learning in the digital age.
ED 7320. Literature Review for Research Writing. Adult/professional/community/lifelong education. The literature review tests research questions in relation to what is published about a topic, discusses various positions, crafts coherent arguments and addresses knowledge gaps. 
ED 7321. Historical and Philosophical Foundations and Contemporary Issues in Adult Education. 
ED 7322. Human Resource and Professional Development. Examines the methods, practices, and issues of facilitating learning related to occupational, professional, and volunteer roles.

ED 7323. Community/Organizational Leadership and Management. Examines issues and strategies related to the operation and delivery of educational programs in post-secondary, adult, and community settings. 
ED 7324. Problems and Strategies in Program Planning Seminar. Addresses principles and procedures, issues and trends, utilization of assessment, goal setting, and other effective strategies for developing learning opportunities and programs responsive to human, professional, and community needs.  

ED 7326. Theoretical Foundations of Educational Policy, Politics and Practice. 

ED 7327. Education Policy Development. Origins and consequences of existing policy and to play active roles in policy development for educational equity and social justice. 
ED 7328. Research and Analysis in Education Policy. Field-based educational policy research project using quantitative and qualitative techniques. Students will develop their skills to identify policy issues, gather and analyze data, and draw conclusions, and disseminate findings.

ED 7329. Field-Based Experience in Educational Policy. Policy analysis and development from a democratic and social justice perspective. With guidance from a university faculty supervisor and site mentor, the student will develop and implement a policy project related to democracy and social justice. 

ED 7331. Foundations of School Improvement. Examines school improvement efforts from philosophical, political, psychological, cultural, ethical, and technological foundations.

ED 7332. Facilitating School Improvement. Examines school culture, schools as learning communities, the change process, and research-based school improvement models, with experiential applications.
ED 7333. Curriculum and Instructional Leadership. Curriculum, instructional improvement, and teacher development, with experiential applications.
ED 7334. Models of Educational Assessment. Student learning at the individual, classroom, school, and system level; teacher assessment; and program assessment. 
ED 7345 Human Resources and Instructional Management. Human resource administration and instructional improvement. Topics addressed include legal requirements for personnel management, staff supervision, appraisal, and development, curriculum planning and alignment and student assessment.

ED 7347 The Superintendency. Issues related to superintendents in Texas: leadership, leadership assessment, school board relations, and other governance issues, management strategies, the role of public education in a democratic society, and professional ethics.
ED 7349 School Finance and Business Management. Focuses on the financing of public schools. Students will examine the school budgeting process, sources of school revenues, principals of taxation, methods of school fund accounting, and techniques of business management.
ED 7350 Methods of Research in Education. Design and analysis of quantitative and qualitative research in education. Topics included are quantitative research design, measurement, and statistical analysis.

ED 7351 Beginning Quantitative Research Design and Analysis. Descriptive statistics; sampling techniques; statistical inference including the null hypothesis, significance tests, and confidence intervals; and causal-comparative analyses, including t-test and ANOVA.
ED 7352 Beginning Qualitative Design and Analysis. Qualitative paradigm. Includes distinctive features, alternative qualitative traditions, purposeful sampling, common data collection methods, inductive analysis, the role of the researcher, and evaluating qualitative research.

ED 7353.Intermediate Quantitative Research Design and Analysis. Design and implementation of quantitative research. Topics include ANOVA, ANCOVA, and MANOVA, correlation analysis, regression analysis, nonparametric tests, and relationships between experimental designs and statistical analysis techniques.

ED 7354 Intermediate Qualitative Design and Analysis. Issues in design and implementation of qualitative research. Topics include influence of alternative traditions, literature in qualitative research, access to the field and ethical issues, researcher-participant relationships, purposeful sampling strategies, inductive analysis procedures, developing theory, and reporting research.

ED 7355 Non-Parametric Research Design and Analysis. Problems in education in situations where the sample size collected is small, categorical in nature, of non-parametric research design and statistical methods are covered in detail.

ED 7357 Advanced Study in Action Research. Underlying theory, practice, skills, and issues in action research; action research.
ED 7358 Theoretical and Conceptual Frameworks in Qualitative Research. Advanced study in the historical, philosophical, conceptual, and theoretical underpinnings of qualitative research.
ED 7359 Seminar in Quantitative Research. Example topics, structural equation modeling, hierarchical linear modeling, log linear modeling, non-parametric analyses, factor analysis, factorial analysis of variance, and other multivariate statistical methods. 

ED 7361 Understanding People: Professional Development. Fundamental issues related to development of personnel. Knowledge of staff appraisal, adult learning and development, and staff development. Focus on professional development in K-12 schools.
ED 7362 Supervision of Instruction. Concepts of curriculum and instructional models for schools will be developed. Factors such as curriculum leadership and instructional improvement are considered as part of the internal environment. 

ED 7363 Curriculum Design. Theory and practice in planning for curriculum needs assessment, development, implementation, and evaluation. Focus on K-12 school curricula.
ED 7364 Team Development in Education.
ED 7365 Cross-cultural Leadership in Education. Students will work as a team to undertake a research study of leadership across cultures in the U.S. and Mexico. Students must be accepted in the Education Ph.D. program.
ED 7371 Anthropology and Education. K-12. 
ED 7372. The Emotions of Leading, Teaching, and Learning.
This course offers an introduction to theories of emotion, leading, teaching, and learning as interconnected fields. Students in this course will achieve a theoretical grounding that will deepen their understandings of the relationship of emotion to all of these important human endeavors. This course will be of interest of practitioners, researchers, and/or theorists.
ED 7378 Problems in Education.
ED 7379 Independent Study. Emphasis in selected areas of study in the Counseling, Leadership, Adult Education & School Psychology Department.

ED 7389A Theological Issues in Education. This course focuses on theological issues in education. Informed by the disciplinary structures of curriculum theory, this seminar course convokes a community of scholars and practitioners in thoughtful dialogue and study that takes up questions of spiritual, moral, and theological issues within education in a pluralistic society.

ED 7389B Seminar in International Educational Research: Chile. This course develops theoretical knowledge, methodological skills, and scholarly capacity for international educational research. It focuses on research within the complex educational environment of Chile, involving seminar components held at the university and research fieldwork in Chile. International research is framed as a form of service learning.
ED 7389C. Advanced Theory in Qualitative Research. Advanced research in qualitative research methods: ethnography, case study, phenomenology, narrative analysis, post-qualitative research, grounded theory, or more advanced qualitative research in general and their constitutive field techniques.
ED 7389D Advanced Theory in Qualitative Research: Narrative Research.

ED 7389E Mexican Perspectives on Mexico - U.S. Immigration. The course gives U.S. educators an understanding of Mexican to U.S. immigration from Mexican women’s perspectives. Students will read background information and visit Mexico where through lectures, field interviews, and field visits, they will view immigration from the “other side”.

ED 7389G Adult Learners in Higher Education. Adult academic learning, instruction, and the particular challenges adults face balancing multiple life demands and often studying in a system established to meet the needs of younger students.
ED 7389L Writing for Publication.
ED 7390 Survey Research and Scale Development.
Technical information necessary to design and conduct a quantitative or mixed-method survey research project. The course is divided into three sections: 1) the details of scale development; 2) details of sample selection and survey delivery systems, and 3) data analysis, writing, and presenting results effectively.

ED 7399A/B Dissertation. Original research and writing in Adult, Professional, and Community Education.
ED 7999B Dissertation in Education - School Improvement. Original research and writing in Education-School Improvement.


MATH 7199A Dissertation in Mathematics Education. Original research and writing in Mathematics Education.
MATH 7301. Studies in Mathematics. Basic foundations in Mathematics for students entering the doctoral program in Mathematics Education.
MATH 7302. History of Mathematics. A study of the development of mathematics and of the accomplishments of men and women who contributed to its progress.
MATH 7303. Analysis I. This course covers foundations of modern analysis. Topics include: sequences, LimSup, LimInf, Sigma Algebras of sets that include open and closed sets, sequences of functions, pointwise and uniform convergence, lower and upper semi-continuity, Borel sets, outer measure, and Lebesgue measure.
MATH 7306. Current Research in Math Education. Surveys the various current social, political, and economic trends in local, state, national, and international settings that are related to research in Mathematics Education.
MATH 7307. Algebra I. Applications of Algebra and topics in modern algebra, including permutation groups, symmetry groups, Sylow theorems, and select topics from Ring Theory.
MATH 7309. Topology I. Point-set topology emphasizing topological spaces, continuous functions, connectedness, compactness, countability, separability, metrizability, CWcomplexes, simplicial complexes, nerves, and dimension theory.
MATH 7313. Analysis II. Theory of integration with special emphasis on Lebesgue integrals. Topics include: Lebesgue integral, Bounded Convergence theorem, differentiation and integration, absolute continuity, and Lp spaces.
MATH 7317. Algebra II. A study of the important algebraic structures of rings and fields. Topics covered include rings, ideals, modules, polynomial rings, Euclidean algorithm, finite fields, and field extensions. Topics also include an introduction to Galois Theory with an emphasis on the geometric applications.
MATH 7319. Topology II: Algebraic Topology. Fundamental concepts and tools of algebraic topology. Topics include the fundamental group, covering spaces, homotopy type, the higher homotopy groups, singular homology theory, and the computation of homology groups via exact sequences and applications.
MATH 7321. Graph Theory. Trees, connectivity of graphs, Eulerian graphs, Hamiltonian graphs, planar graphs, graph coloring, matchings, factorizations, digraphs, networks, and network flow problems.
MATH 7324. Curriculum Design & Analysis. Examines, analyzes, and evaluates the various concepts, topics, methods, and techniques that are related to curriculum design in Mathematics Education for grade levels P-16.
MATH 7325. Statistics 1. A study of the mathematical and probabilistic underpinnings of the techniques used in statistical inference. Topics covered include sampling, sampling distributions, confidence intervals, and hypothesis testing with an emphasis on both simulations and derivations.
MATH 7328. Instructional Techniques & Assessments. Examines, analyzes, and evaluates the various concepts, topics, methods, and techniques of instruction in Mathematics Education and the related assessment procedures for each for grade levels P-20.

MATH 7331. Combinatorics. Fundamental principles of combinatorics. Topics include: permutations and combinations, the Pigeonhole principle, the principle of inclusion-exclusion, binomial and multinomial theorems, special counting sequences, partitions, posets, extremal set theory, generating functions, recurrence relations, and the Polya theory of counting.
MATH 7335. Statistics II: Linear Modeling. A study of the formulation and statistical methodologies for fitting linear models. Topics include the general linear hypothesis, least-squares estimation, Gauss-Markov theorem, assessment of model fit, effects of departures from assumptions, model design, and criteria for selection of optimal regression models.
MATH 7346. Quantitative Research Analysis in Mathematics Education. Research techniques used in quantitative analysis for mathematics education and covers topics such as experimental design, statistical analysis, and use of appropriate design methodologies to achieve the strongest possible evidence to support or refute a knowledge claim.
MATH 7356A. Advanced Quantitative Research. Encompasses investigation, development, and demonstration of competence, design, and execution for mathematics education problems in quantitative research.
MATH 7356B. Advanced Qualitative Research. This course encompasses investigation, development, and demonstration of competence, design, and execution for mathematics education problems in qualitative research.
MATH 7356C. Action Research in Mathematics Education. Underlying theory and issues in action research model and the development of action research projects.
MATH 7361. Seminar in Advanced Mathematics. A detailed study of subject matter may be chosen from advanced areas of analysis; algebra; topology and geometry; applied mathematics; and probability and statistics.
MATH 7366A. Teaching Post-Secondary Students (Developmental Math, Service Courses, and Majors).
Develop and teach post-secondary students. The course references the recommendations of government agencies and professional organizations and allows for the investigation of research-based models.
MATH 7366B. Teaching K-12 Students (Elementary, Middle School, and High School). How to develop and teach K-12 students. The course references the recommendations of government agencies and professional organizations and allows for the investigation of research-based models.

MATH 7366C. Teaching Teachers (In-Service; Pre-Service). How to prepare teachers of mathematics. The course references the recommendations of government agencies and professional organizations and allows for the investigation of research-based models.

MATH 7366D. Teaching Specialized Content. Specialized content area in mathematics with an emphasis on teaching. The specific content area will vary by instructor. Examples include Euclidean Simplex Geometry and Discrete Probability Spaces with Implications for Public School Curriculum. MATH 7366E. Developmental Mathematics Curriculum. Research, development, and evaluation of the scope and sequence of developmental mathematics curriculum. The course references the recommendations of government agencies and professional organizations and allows for the investigation of research-based models.
MATH 7371A. Advanced Graph Theory.
Turan's problems, Ramsey theory, random graph theory, extremal graph theory, algebraic graph theory, domination of graphs, distance problems, and applications.
MATH 7371B. Advanced Combinatorics. Block designs, Latin squares, combinatorial optimization problems, coding theory, matroids, difference sets, and finite geometry.

MATH 7371C. Combinatorial Number Theory. Fundamental techniques in combinatorial number theory. Topics will include Waring's problem, additive number theory, and probabilistic methods in number theory.
MATH 7371D. Discrete Optimization.
Fundamental techniques in discrete optimization. Topics include discrete optimization, linear programming, integer programming, integer nonlinear programming, dynamic programming, location problem, scheduling problem, transportation problem, postman problem, traveling salesman problem, matroids, and NP-completeness.
MATH 7371E. Algorithms and Complexity.
Fundamental concepts of computability and complexity. Topics include polynomially bounded problems, NP-complete problems, exponentially hard problems, undecidable problems, and reducibility.
MATH 7371F. Probabilistic Methods in Discrete Mathematics.
Probabilistic techniques used to solve problems in graph theory, combinatorics, combinatorial number theory, combinatorial geometry, and algorithm. Topics include linearity of expectation, alterations, second moment, local lemma, correlation inequalities, martingales, Poisson paradigm, and pseudo-randomness.
MATH 7371G. Applied Discrete Mathematics. Fundamental concepts in logic, Boolean algebra, and binomial coefficients; and applications in different fields such as complexity of algorithms and network theory.
MATH 7371H. Combinatorial Networks.
Combinatorial Networks is an area of study of certain types of networks using combinatorial methods extensively. This course introduces fundamental basics as well as the latest development in this area of research.
MATH 7375C. Time Series Analysis.
Theory of time-dependent data. The analysis includes modeling, estimation, and testing; alternating between the time domain; using autoregressive and moving average models and the frequency domain; and using spectral analysis.
MATH 7375D. Advanced linear Modeling. Regression methodology to more general settings where standard assumptions for ordinary least squares are violated. Topics include generalized least squares, robust regression, bootstrap, regression in the presence of auto-correlated errors, generalized linear models, and logistic and Poisson regression.
MATH 7378A. Problem Solving, Reasoning, and Proof. A study of the fundamental concepts of problem solving, logic, set theory, and mathematical proof and applications of these concepts in mathematics curriculum for grades P-20.

MATH 7378B. Connecting and Communicating Math.

MATH 7378C. Representing Fundamental Math Ideas (Function, Data Analysis, and Enumeration). 

This course examines the basic principles involved in mathematics education. The process of representing fundamental mathematical ideas will be reviewed, researched, and discussed.

MATH 7378D. Math Technologies.

MATH 7378E. Developmental Mathematics Perspectives.

MATH 7378F. Research on Mathematical Problem Solving in Secondary Schools. Elementary techniques for problem solving in a variety of domains, including algebra, number theory, combinatorics, geometry, and logic puzzles. Students will learn these techniques by actually working on a collection of problems in each of these areas. Students will read and examine research about various aspects of problem solving and research in math education that includes both teacher training and student learning.

MATH 7386. Independent Study in Mathematics Education. Student will work directly with a faculty member and develop in-depth knowledge in a specific topic area of Mathematics Education. Topics vary according to student's needs and demands.

MATH 7396. Mathematics Education Research Seminar. Collaborative research projects with faculty through identifying an educational issue, reviewing literature, creating a research question, designing a methodology, analyzing data, drawing conclusions, implications, and creating a draft of a publishable paper.