CMPT183: Foundations of Computer Science I

Basic theory of digital computers. Syntax and semantics of a programming language. Algorithms: logic, design, testing and documentation. Meets the 1983 General Education Requirement (GER) - Mathematics, Computer Science. 3 sh.

Prerequisites: MATH 100, MATH 112, MATH 114, MATH 116, MATH 122 or MATH 221.

CURR505: Teaching, Democracy, and Schooling

This course brings together differing viewpoints regarding the purposes of teaching in the United States and the teacher's role in fostering democracy. It provides future teachers with the habits of mind, skills, tools and resources to analyze and evaluate the relationship between the history of public education, the evolution of teacher identity, and the roles teachers and teaching have played in shaping the United States as a society and vice versa. Using Montclair State's Portrait of a Teacher as an organizing framework, students study the history, philosophy, and politics that shape differing views about the roles and responsibilities of teachers, teaching content and knowledge, and explore democratic principles and practices, including issues related to state standards and federal mandates, and curriculum for diverse students, including those with special needs and English Language Learners. Cross listed with EDFD 505. May be repeated once for a maximum of 6.0 credits. 3 sh.

CURR509: Sociocultural Perspectives on Teaching and Learning

This course examines the qualities of teachers, teaching, and schooling that foster the learning of pupils from diverse social and cultural backgrounds. Students in the course use various sociocultural perspectives to explore the ways in which experiences of socialization shape perceptions of oneself and others. They reflect on their own beliefs and assumptions about their sociocultural identities and how they have been shaped through experience. Students also examine the nature and impact of the increasing social and cultural diversity in K-12 schools, focusing on the experiences of socially and culturally diverse students in the United States. They investigate ways of teaching all children successfully and of developing positive relationships among teachers, parents, and children across diversity. They reflect on their capacity to bring about educational change that promotes educational equity and affirms diversity. May be repeated once for a maximum of 6.0 credits. Cross listed with EDFD 509. 3 sh.

Prerequisites: CURR 505 or EDFD 505, CURR 518.

CURR514: Inservice Supervised Graduate Student Teaching

Open only to post-baccalaureate and graduate students; this course replaces supervised student teaching for those already employed in teaching situations without standard certification. Joint supervision by the school district and University personnel. Student must obtain permission of department chairperson and the school district. Certain qualifications required. 4 - 8 sh.

Prerequisites: Departmental approval.

CURR516: Meeting the Needs of English Language Learners

This course examines the central issues in the education of English language learners in U.S. schools and best practices in educating English language learners. Students study the socio-cultural, legal, and political influences on the education of English language learners. They also examine principles of second language acquisition and academic content instruction to meet the needs of English language learners. May be repeated once for a maximum of 2.0 credits. Cross listed with EDFD 516. 1 sh.

Prerequisites: CURR 505 or EDFD 505, CURR 518.

CURR517: Inclusive Classrooms in Middle and Secondary Schools

This course presents the central issues in the inclusion of students with disabilities in U.S. middle and secondary schools. It focuses on best practices for providing access to the general education curriculum for students with disabilities in inclusive settings. In addition, students explore the legal, professional, and contextual influences on the implementation of inclusion. May be repeated once for a maximum of 2.0 credits. 1 sh.

Prerequisites: CURR 505 or EDFD 505; and CURR 518.

CURR518: Technology Integration in the Classroom

This course is designed to introduce pre-service teachers to the integration of educational technology to facilitate teaching and learning. Students explore the history of educational technology with a focus on the pedagogical and practical implementation of educational technologies, youth technology culture, and emerging technologies. May be repeated once for a maximum of 2.0 credits. 1 sh.

CURR519: Assessment for Authentic Learning

This course provides prospective teachers with knowledge and skills for evaluating and understanding student growth and learning across diverse educational settings. Teacher candidates analyze assessment policies and practices, their own as well as local and national, to consider assessment practice from the point of view of learners and how they experience learning opportunities. In addition, teacher candidates relate these aspects of assessment policy and practice to an evaluation of their own notions about assessment and its development. May be repeated once for a maximum of 6.0 credits. Cross listed with EDFD 519. 3 sh.

Prerequisites: CURR 505 or EDFD 505, CURR 518.

CURR526: Teaching for Learning I

This course focuses on developing classroom practices necessary for student teaching and the beginning of a professional career in teaching, building from the knowledge and skills discussed in previous courses in the professional sequence. In conjunction with CURR 527-Fieldwork, students have the opportunity to begin to put into practice their conceptions of reflective teaching, learning, and assessment in public school classrooms. Specifically, students investigate democratic classrooms, and choosing appropriate teaching strategies and assessments to create successful learning experiences for their students. May be repeated once for a maximum of 6.0 credits. 3 sh.

Prerequisites: CURR 505 or EDFD 505; CURR 509 or EDFD 509; CURR 516 or EDFD 516; CURR 517; CURR 518; READ 501.

CURR527: Fieldwork

Students will spend 120 hours, or approximately two days per week, in a selected public school. Activities include, but are not imited to, observing classroom teachers, facilitating small group and individual instruction, participating in after-school activities, tutoring, attending department meetings, shadowing and interviewing students and teachers, lesson planning and teaching, and assessing student work. May be repeated once for a maximum of 6.0 credits. Starting Spring 2010: Students will spend 60 hours, or approximately one day per week, in a selected public school. Activities include, but are not limited to, observing classroom teachers, facilitating small group and individual instruction, participating in after-school activities, tutoring, attending department meetings, shadowing and interviewing students and teachers, lesson planning and teaching, and assessing student work. May be repeated once for a maximum of 6.0 credits. 3 sh.

Prerequisites: CURR 505 or EDFD 505; and CURR 509 or EDFD 509; and CURR 516 or EDFD 516; and CURR 517; and CURR 518; and EDFD 519 or CURR 519; and READ 501.

CURR529: Student Teaching

Full time student teaching in the public schools of New Jersey is required of all students who complete the regular program of certification requirements. May be repeated once for a maximum of 12.0 credits. 6 sh.

Prerequisites: CURR 505 or EDFD 505; and CURR 509 or EDFD 509; and CURR 516 or EDFD 516; and CURR 517; and CURR 518; and CURR 519 or EDFD 519; and CURR 526; and CURR 527; and READ 501; and content area methods course(s).

CURR543: Teaching for Learning II

This course focuses on putting into practice all of the knowledge and skills pre-service teachers have developed throughout their professional sequence and in their student teaching experience. A primary focus is on creating democratic classrooms for their students through developmentally and culturally appropriate planning, instruction, and assessment. This is the second course in a two-semester sequence, students will also learn about the impact of school and classroom culture and climate on student learning, and on relationships between students and teachers and teachers and other professionals in the school. May be repeated once for a maximum of 6.0 credits. 3 sh.

Prerequisites: CURR 505 or EDFD 505; and CURR 509 or EDFD 509; and CURR 516 or EDFD 516; and CURR 517; and CURR 518; and CURR 526; and CURR 527; and READ 501; and content area methods course(s).

EDFD505: Teaching, Democracy, and Schooling

This course brings together differing viewpoints regarding the purposes of teaching in the United States and the teacher's role in fostering democracy. It provides future teachers with the habits of mind, skills, tools and resources to analyze and evaluate the relationship between the history of public education, the evolution of teacher identity, and the roles teachers and teaching have played in shaping the United States as a society and vice versa. Using Montclair State's Portrait of a Teacher as an organizing framework, students study the history, philosophy, and politics that shape differing views about the roles and responsibilities of teachers, teaching content and knowledge, and explore democratic principles and practices, including issues related to state standards and federal mandates, and curriculum for diverse students, including those with special needs and English Language Learners. Cross listed with CURR 505. May be repeated once for a maximum of 6.0 credits. 3 sh.

EDFD509: Sociocultural Perspectives of Teaching

This course examines the qualities of teachers, teaching, and schooling that foster the learning of pupils from diverse social and cultural backgrounds. Students in the course use various sociocultural perspectives to explore the ways in which experiences of socialization shape perceptions of oneself and others. They reflect on their own beliefs and assumptions about their sociocultural identities and how they have been shaped through experience. Students also examine the nature and impact of the increasing social and cultural diversity in K-12 schools, focusing on the experiences of socially and culturally diverse students in the United States. They investigate ways of teaching all children successfully and of developing positive relationships among teachers, parents, and children across diversity. They reflect on their capacity to bring about educational change that promotes educational equity and affirms diversity. May be repeated once for a maximum of 6.0 credits. Cross listed with CURR 509. 3 sh.

Prerequisites: CURR 505 or EDFD 505; and admission to Teacher Education program.

EDFD516: Meeting the Needs of English Language Learners

This course examines the central issues in the education of English language learners in U.S. schools and best practices in educating English language learners. Students study the socio-cultural, legal, and political influences on the education of English language learners. They also examine principles of second language acquisition and academic content instruction to meet the needs of English language learners. May be repeated once for a maximum of 2.0 credits. Cross listed with CURR 516. 1 sh.

Prerequisites: CURR 505 or EDFD 505; and CURR 518.

EDFD519: Assessment for Authentic Learning

This course provides prospective teachers with knowledge and skills for evaluating and understanding student growth and learning across diverse educational settings. Teacher candidates explore theory and the practice of learning and assessment with and empahsis on classroom evaluation and assessment procedures consistent with the New Jersey Core Curriculum Content Standards (NJCCCS). Teacher candidates analyze assessment policies and practices, their own as well as local and national, to consider assessment practice from the point of view of learners and how they experience learning opportunities. In addition, teacher candidates relate these aspects of assessment policy and practice to an evaluation of their own notions about assessment and its development. May be repeated once for a maximum of 6.0 credits. Cross listed with CURR 519. 3 sh.

Prerequisites: CURR 505 or EDFD 505; and CURR 518.

ELRS503: Methods of Research

Theory and methods of historical, descriptive, and experimental research; formulation of a research problem; use of bibliographical sources and reference materials; statistics and measurement in research; types and instruments of research; data collection, and analysis. Writing the research report and career opportunities in research. 3 sh.

ELRS580: Learning Theories

Study of the learning process and its measurement as it applies in the classroom and non-school settings. 3 sh.

MATH122: Calculus I

Limits, continuity; derivative and differentiation; applications of the derivative, maxima, minima, and extreme considerations; antiderivatives; Riemann integral. Meets the 1983 General Education Requirement (GER) - Mathematics, Mathematics. 4 sh.

Prerequisites: MATH 111 or MATH 112 or placement through the Montclair State University Placement Test (MSUPT) or a satisfactory score on department's Calculus Readiness Test. (Students who did not satisfy the course prerequisite at MSU and students who received a grade of D-, D, or D+ in the prerequisite course taken at MSU are required to demonstrate competency on the department's Calculus Readiness Test.)

MATH221: Calculus II

Riemann integral applications, transcendental functions, techniques of integration, improper integrals, L'Hospital's rule, infinite series. Meets the 1983 General Education Requirement (GER) - Mathematics, Mathematics. 4 sh.

Prerequisites: MATH 122.

MATH222: Calculus III

Vector algebra; partial differentiation, and extreme considerations; polar, cylindrical, and spherical coordinates, multiple integration; introduction to line integrals. 4 sh.

Prerequisites: MATH 221.

MATH335: Linear Algebra

The course content will cover the foundations of the algebra of vector spaces, matrix operations, matrix invertibility theorems, linear independence, span, basis, linear transformations, finite dimensional Hilbert Spaces, Gram-Schmidt process, projections, eigenvalues and eigenvectors, and applications. The focus of the course will be to develop advanced mathematical skills in reading and understanding abstract mathematical definitions, constructing examples, and developing mathematical proofs. Meets the University Writing Requirement for Mathematics majors. 4 sh.

Prerequisites: MATH 222 or equivalent.

MATH340: Probability

Chance and variability, elements of combinatorics, Bayes' theorem, random variables, binomial, poisson and normal distributions, applications to statistics. 3 sh.

Prerequisites: MATH 221.

MATH350: College Geometry

Study of Euclidean and other geometries from an axiomatic point of view. 3 sh.

Prerequisites: MATH 221.

MATH420: Ordinary Differential Equations

A course in the theory and applications of ordinary differential equations which emphasizes qualitative aspects of the subject. Topics include analytic and numerical solution techniques for linear and nonlinear systems, graphical analysis, existence-uniqueness theory, bifurcation analysis, and advanced topics. Prerequisite: MATH 335. 4 sh.

Prerequisites: MATH 335.

MATH423: Complex Variables

This course is a study of the arithmetic and algebra of complex numbers, and an introduction to the differentiation and integration of complex functions. Topics include: rectangular and polar form of complex numbers, algebra of complex numbers, differentiation, Cauchy-Riemann equations, and contour integrals. 3 sh.

Prerequisites: MATH 335.

MATH425: Advanced Calculus I

Properties of the real number system, limits, continuous functions, intermediate value theorem, derivative, mean value theorem, Riemann integral. 3 sh.

Prerequisites: MATH 335.

MATH426: Advanced Calculus II

Functions of several variables, partial derivatives, Green's theorem, Stoke's theorem, divergence theorem, implicit function theorem, inverse function theorem, infinite series, uniform convergence. 3 sh.

Prerequisites: MATH 425.

MATH431: Foundations of Modern Algebra

Fundamental concepts of algebra including groups, rings, integral domains and fields, with important examples. 3 sh.

Prerequisites: MATH 335.

MATH433: Theory of Numbers

Properties of integers, congruences, quadratic reciprocity law, primitive roots, diophantine equations, continued fractions, algebraic numbers, lattice points and partitions. 3 sh.

Prerequisites: MATH 335.

MATH450: Foundations of Geometry

Groups of transformations, an introduction to projective geometry. 3 sh.

Prerequisites: MATH 335.

MATH451: Topology

Topological spaces, metric spaces, continuity, compactness, connectedness, and separability properties; topological generalizations of basic continuity theorems of advanced calculus. 3 sh.

Prerequisites: MATH 425.

MATH463: Numerical Analysis

Finite differences, approximation theory, linear and non-linear equations, error analysis. 3 sh.

Prerequisites: MATH 222 and 335.

MATH464: Operations Research I

Linear programming, transportation problem, assignment problem, duality, sensitivity analysis, network flows, dynamic programming, nonlinear programming, integer programming. 3 sh.

Prerequisites: MATH 335.

MATH465: Operations Research II

Game theory, queuing models, inventory models, Markov processes, reliability theory and applications. 3 sh.

Prerequisites: MATH 335 and 340.

MATH469: Mathematical Modeling

The art of constructing mathematical models for "real world" problems, solving the model, and testing the accuracy of the model. Problems will be selected from business, science, computer science, and the social sciences. 3 sh.

Prerequisites: MATH 335, and MATH 340, and MATH 464 or STAT 330.

MATH471: Selected Topics in Modern Mathematics

Professionalized view of junior and senior high school mathematics topics: functions, real and complex numbers, analytic geometry, absolute value and inequalities, sets and logic, flow charting, linear programming. 3 sh.

Prerequisites: Admission to Teacher Education Program and MATH 335.

MATH475: History of Mathematics

Histories of geometry, number theory, algebra, calculus and infinite processes. 3 sh.

Prerequisites: MATH 335.

MATH485: Applied Combinatorics and Graph Theory

Problem solving by counting, enumeration, and graph theory. Permutation, combinations, binomial coefficients, generating functions, and recurrence relations, partitions, inclusion-exclusion, Polya's formula, graph theoretic models, trees, circuits, networks, matching, and their applications to puzzles, games, tournaments, traffic patterns, transportation. 3 sh.

Prerequisites: MATH 340.

MATH490: Honors Seminar

This course will concentrate on subject matter not usually covered within standard mathematics courses. A written and oral report are required. 3 sh.

Prerequisites: MATH 335 and departmental approval.

MATH495: Topics for Undergraduates

Study of advanced topics in undergraduate mathematics. May be repeated once for a maximum of 6.0 credits as long as the topic is different. 1 - 3 sh.

Prerequisites: MATH 335 and departmental approval.

MATH497: Research I

Individual research in a mathematical area agreed upon by the student and the instructor. The results of the research will be a basis of a seminar or colloquium to be given by the student. Students must not accumulate more than 6 credits total in courses MATH 497, 498. 1 - 3 sh.

Prerequisites: MATH 335 and departmental approval.

MATH498: Research II

Individual research in a mathematical area agreed upon by the student and the instructor. The results of the research will be a basis of a seminar or colloquium to be given by the student. Students must not accumulate more than 6 credits total in courses MATH 497, 498. 1 - 3 sh.

Prerequisites: MATH 335 and departmental approval.

MATH501: Mathematics for Computer Science I

Sets, relations, functions, graphs, trees, propositional calculus, induction and recursion, applications to computer science. May not be used for credit by Mathematics or Computer Science majors. 4 sh.

Prerequisites: Graduate program coordinator's permission.

MATH502: Mathematics for Computer Science II

An introduction to linear algebra, vectors, matrices, counting rules, probability theory, random variables, Poisson and binomial distribution, with applications to Computer Science. May not be used for credit by Mathematics and Computer Science majors. 3 sh.

Prerequisites: Graduate program coordinator's permission.

MATH503: Mathematics for Computer Science III

Differential and integral calculus, infinite series, applications to computer science. May not be used for credit by Mathematics and Computer Science majors. 3 sh.

Prerequisites: Graduate program coordinator's permission.

MATH510: Workshop in Mathematics Education I

Specific contemporary topics and current issues in school mathematics. May be repeated for a maximum of 8.0 credits as long as the topic is different. 1 - 4 sh.

Prerequisites: Permission of graduate program coordinator.

MATH511: Workshop in Mathematics Education II

Specific contemporary topics and current issues in school mathematics. May be repeated for a maximum of 8.0 credits as long as the topic is different. 1 sh.

Prerequisites: Permission of graduate program coordinator.

MATH512: Technology in the Middle Grades Mathematics Curriculum

This course is designed to provide experiences in the integration of technology into middle grades mathematics classes. The primary emphases are on the analysis and evaluation of computer software addressing the middle grades mathematics courses. Other topics include the use of spreadsheets, fraction and graphing calculators, data probes, and hand-held digital assistants as problem-solving tools to enhance the teaching/learning process. The course also includes current literature describing exemplary models and practices in the use of technology in the mathematics classroom. 3 sh.

Prerequisites: Permission of graduate program coordinator.

MATH513: Computer Science Concepts for High School Teachers

This course is specifically designed to help high school mathematics teachers prepare to use the microcomputer as a tool in their classrooms. Topics include an introduction to computer literacy, elements of BASIC programming, the evaluation of commercial software, the appropriate use of the software and a survey of relevant professional literature. Minimal prior knowledge of BASIC is assumed. May not be used for credit by Computer Science majors. 3 sh.

Prerequisites: Permission of graduate program coordinator.

MATH514: Advanced Placement Computer Science Concepts

This course is specifically designed to help senior high school teachers prepare to instruct the AP course in computer science. Topics include the problem solving process, good programming style, the syntax of the current AP language, and their applications to computer science. Additional topics include algorithms, data structures, procedures, program design, sorting and searching. Minimal prior knowledge of a high level language is assumed. May not be used for credit for Computer Science majors. 3 sh.

Prerequisites: Graduate program coordinator's permission.

MATH515: Intermediate Analysis I

Properties of the real number system, limits, continuous functions, intermediate value theorem, derivative, mean value theorem, Riemann integral. 3 sh.

Prerequisites: Permission of graduate program coordinator.

MATH516: Intermediate Analysis II

This course is a continuation of MATH 515. Topics include functions of several variables, partial derivatives, Green's theorem, Stoke's theorem, divergence theorem, implicit function theorem, inverse function theorem, infinite series, uniform convergence. 3 sh.

Prerequisites: MATH 515 or MATH 425 or equivalent, permission of graduate program coordinator.

MATH518: Foundations of Abstract Algebra

Fundamental concepts of algebra including groups, rings, integral domains and fields, with important examples. 3 sh.

Prerequisites: Permission of graduate program coordinator.

MATH520: Set Theory

Historical development, paradoxes, ordered sets, Schroder-Bernstein theorem, axiom of choice, transfinite induction, cardinal and ordinal numbers. 3 sh.

Prerequisites: MATH 222 and permission of graduate program coordinator.

MATH521: Real Variables I

Real number system, Lebesgue measure and integration, differentiation, Fourier series, LP, metric, normed vector, Banach and Hilbert spaces. 3 sh.

Prerequisites: MATH 426 and permission of graduate program coordinator.

MATH522: Real Variables II

Real number system, Lebesgue measure and integration, differentiation, Fourier series, LP, metric, normed vector, Banach and Hilbert spaces. 3 sh.

Prerequisites: MATH 521, permission of graduate program coordinator.

MATH525: Complex Variables I

Integration and differentiation in the complex domain, Cauchy's theorem, Cauchy's integral formula, Laurent expansion, residues, elements of conformal mapping, series and product representations. 3 sh.

Prerequisites: MATH 426 and permission of graduate program coordinator.

MATH526: Complex Variables II

Integration and differentiation in the complex domain, Cauchy's theorem, Cauchy's integral formula, Laurent expansion, residues, elements of conformal mapping, series and product representations. 3 sh.

Prerequisites: MATH 525, permission of graduate program coordinator.

MATH530: Mathematical Computing

Introduction to mathematical computing techniques using a computer algebra system and algorithmic approach to solving mathematical problems. Mathematical applications taken from various areas of mathematics, the sciences, engineering, and business. 3 sh.

Prerequisites: Permission of the graduate program coordinator or consent of the instructor.

MATH531: Abstract Algebra I

Basic algebraic structures including groups, rings, fields, modules and lattices. 3 sh.

Prerequisites: MATH 431 and permission of graduate program coordinator.

MATH532: Abstract Algebra II

Basic algebraic structures including groups, rings, fields, modules and lattices. 3 sh.

Prerequisites: MATH 531, permission of graduate program coordinator.

MATH535: Linear Algebra I

Vector spaces and linear transformations, including inner product, matrix representations, binary and quadratic forms, eigenvectors, canonical forms, and functions of matrices. 3 sh.

Prerequisites: MATH 335 and permission of graduate program coordinator.

MATH536: Linear Algebra II

Vector spaces and linear transformations, including inner product, matrix representations, binary and quadratic forms, eigenvectors, canonical forms, and functions of matrices. 3 sh.

Prerequisites: MATH 535, permission of graduate program coordinator.

MATH537: Mathematical Logic

Propositional and predicate calculus, model theory, Godel's completeness theorems and decidability. 3 sh.

Prerequisites: MATH 425 and permission of graduate program coordinator.

MATH540: Probability

Sample spaces and events, combinatorial analysis, conditional probability and stochastic independence, random variables and probability distributions, expected value and variance, probability generating functions, continuous random variables. 3 sh.

Prerequisites: MATH 340 and permission of graduate program coordinator.

MATH551: Topology

Basic point-set topology, topological spaces, homeomorphisms, compactness, connectedness, separation properties, uniformities, metrizability, introductory algebraic topology, homology groups and homotopy. 3 sh.

Prerequisites: MATH 425, and permission of graduate program coordinator.

MATH554: Projective Geometry

Projective planes and spaces are studied by synthetic and analytic approaches. Topics covered include the theorems of Desargues and Pappus, harmonic sequences, projectivities, coordinatization, finite planes, and conics. 3 sh.

Prerequisites: MATH 335 and permission of graduate program coordinator.

MATH555: Differential Geometry

Application of vectors to the study of classical three-dimensional geometry. Topics include: plane and space curves, first and second fundamental forms, lines of curvature, asymptotic lines, geodesics. 3 sh.

Prerequisites: MATH 222 and permission of graduate program coordinator.

MATH560: Numerical Analysis

Error analysis, interpolation and approximation theory, numerical solution of linear and nonlinear equations, numerical differentiation and integration, numerical solution of differential equations. 3 sh.

Prerequisites: MATH 335, and permission of graduate program coordinator.

MATH564: Ordinary Differential Equation

Linear and nonlinear equations, Green's functions, power series solutions, autonomous systems, existence and uniqueness, singularities, Sturm-Liouville systems. 3 sh.

Prerequisites: MATH 335, and 420, and permission of graduate program coordinator.

MATH566: Partial Differential Equations

First order equations, separation of variables, series solutions, hyperbolic, parabolic and elliptic equations, characteristics, transform methods. 3 sh.

Prerequisites: MATH 335, and 420, and permission of graduate program coordinator.

MATH568: Applied Mathematics: Continuous

Formulation, manipulation and evaluation of mathematical models of continuous systems. Topics selected from: conservation principles and the classical equations of mathematical physics, applications of the qualitative and quantitative theory of ordinary and partial differential equations, optimization, calculus of variations, stability theory, stochastic models. 3 sh.

Prerequisites: MATH 335, and 340, and 420, and 425, and permission of graduate program coordinator.

MATH569: Applied Mathematics: Discrete

Introduction to the basic ideas of discrete mathematics and its applications. Counting principles, permutations, combinations, algorithms, complexity, graphs, trees, searching and sorting, recurrence relations, generating functions, inclusion-exclusion, the pigeonhole principle, chromatic number, eulerian chains and paths, hamiltonian chains and paths, flows in networks, finite Markov chains. 3 sh.

Prerequisites: MATH 335, and 340, and 425, and permission of graduate program coordinator.

MATH570: Administration and Supervision of Mathematics

Problems of organization, administration and supervision in the mathematics program of the school. Functions, duties and qualifications of the supervisor investigated. Current problems and research findings. 3 sh.

Prerequisites: Permission of graduate program coordinator.

MATH571: Curriculum Construction in Mathematics

Contemporary proposals for the mathematics of grades K through 12. Consideration is given to the problem of implementation of current recommendations. Examination is made of mathematical concepts underlying various programs. 3 sh.

Prerequisites: Permission of graduate program coordinator.

MATH572: Contemporary Teaching of Mathematics

Pedagogy, resources, and research related to the teaching of standards-based mathematics in grades 6-12. Emphasis is on creating student-centered learning environments, resources and materials for contemporary mathematics classrooms, models of effective teaching and learning, alternative assessment, appropriate uses of technology and multicultural aspects of mathematics. 3 sh.

Prerequisites: Permission of graduate program coordinator.

MATH573: Mathematics Materials for Teachers of Mathematics

The construction, adaptation and effective use of classroom materials and activities designed to enhance and expand the teaching of mathematics and mathematical thinking in the middle and high school grades with special attention given to basic commercial and simple teacher- and student-made manipulatives and models with broad use from the development of concepts and skills to their maintenance, review, and extension plus applications to problem solving. 3 sh.

Prerequisites: Permission of graduate program coordinator.

MATH574: Problem Analysis in Secondary Mathematics

Psychology and techniques of problem-solving. Discovery and heuristic methods. Intuitive and inductive reasoning in the solution of nonroutine problems from high school mathematics. Problem formation and solution. 3 sh.

Prerequisites: MATH 222 and permission of graduate program coordinator.

MATH575: Selected Topics in Mathematics Education

Selection of topics associated with secondary and early college years of mathematics investigated from an advanced point of view. Topics selected to give the teacher a professionalized subject matter viewpoint of such areas as algebra, geometry, number theory, real and complex analysis, probability and history of mathematics. 3 sh.

Prerequisites: MATH 222 and permission of graduate program coordinator.

MATH576: Research Seminar in Mathematics Education

Designed for matriculated graduate students in the mathematics education program. Students survey and analyze recent research projects. 3 sh.

Prerequisites: Permission of graduate program coordinator.

MATH577: Mathematics Education in the Elementary School

The contemporary mathematics curriculum of the elementary and middle school. The role of behavioral objectives and learning theory in curriculum development/teacher training. Related research findings. 3 sh.

Prerequisites: Permission of graduate program coordinator.

MATH578: Special Topics in Mathematics Education

Topics may be selected from areas such as assessment, cooperative learning, elementary education, fractals, graphing calculators, NCTM Standards, and other special areas of interest to mathematics educators. May be repeated once for a maximum of 6.0 credits as long as the topic is different. 3 sh.

Prerequisites: Permission of graduate program coordinator.

MATH579: Approaching School Mathematics Through Applications

Topics in middle grade and secondary mathematics are explored with an emphasis on their application to both traditional and more recently developed areas. Applied problems are used to motivate mathematical topics, and mathematical knowledge is used to explore solutions to applied problems. 3 sh.

Prerequisites: Permission of graduate program coordinator.

MATH580: Combinatorial Mathematics

Arrangements and selections, binomial coefficients, Stirling numbers, generating functions, recurrence relations, inclusion-exclusion, Polya enumeration formula, combinatorial graph theory, combinatorial geometries. 3 sh.

Prerequisites: MATH 222 and graduate program coordinator's permission.

MATH581: Graph Theory

Graphs, digraphs, and trees. Connectivity, separability, planarity, and colorability. Cliques, independent sets, matchings, flows and tours. Graphs as mathematical models; graph algorithms. 3 sh.

Prerequisites: MATH 222, and 335, and graduate program coordinator's permission.

MATH584: Operations Research

An in-depth study of one or at most two topics in operations research, selected from linear programming and game theory, linear and nonlinear programming, queuing theory, inventory theory, simulation models. 3 sh.

Prerequisites: MATH 425 and STAT 440 and permission of graduate program coordinator.

MATH590: Advanced Topics

An in-depth study of a topic or topics selected from areas such as algebra, analysis, geometry, probability and statistics, and applied mathematics, with special emphasis upon recent developments in the field. May be repeated once for a maximum of 6.0 credits as long as the topic is different. 3 sh.

Prerequisites: Graduate program coordinator's permission.

MATH591: Applied Industrial Mathematics

Formulation, modeling, and solution of mathematical problems from engineering, science and business. Topics include statistical distributions, Monte Carlo method, function fitting, transforms optimization, regression analysis, cost-benefit analysis, ordinary differential equations, partial differential equations, numerical methods, divided differences, splines, Galerkin's method, and finite elements. 3 sh.

Prerequisites: MATH 335, MATH 425, MATH 530, STAT 440 or permission of graduate program coordinator.

MATH595: Seminar

Guided study of selected topics in major field of interest. May be repeated once for a maximum of 6.0 credits as long as the topic is different. 1 - 4 sh.

Prerequisites: Graduate program coordinator's permission.

MATH611: Leadership Development in Mathematics Education

Students gain experience in recognizing, acquiring, and applying key leadership characteristics in the field of mathematics education at the middle and high school grades. Specific attention is given to how teachers become stewards of best practices and active educational change agents in their schools and community and through professional development and involvement. 3 sh.

Prerequisites: Acceptance in the master's program in Teaching Middle Grades Mathematics and permission of the graduate program coordinator.

MATH690: Independent Study in Mathematics

Independent study under the direction of a faculty member, offering the opportunity to pursue topics in mathematics which may be outside the scope of regular curricular offerings or may be an extension of an existing course or courses. Approval must be obtained from the graduate coordinator and faculty advisor. May be repeated once for a maximum of 6.0 credits during the graduate program. 3 sh.

Prerequisites: Permission of graduate program coordinator. Departmental approval.

MATH698: Master's Thesis

Independent research project done under faculty advisement. Students must follow the MSU Thesis Guidelines, which may be obtained from the Graduate School. Students should take MATH 699 if they don't complete MATH 698 within the semester. 3 sh.

Prerequisites: Permission of graduate program coordinator.

MATH699: Master's Thesis Extension

Continuation of Master's Thesis Project. Thesis extension will be graded IP (In Progress) until thesis is completed, at which time a grade of Pass or Fail will be given. 1 sh.

Prerequisites: MATH 698, permission of graduate program coordinator.

MATH740: Technological Tools for Education in Mathematics

This course will explore the research literature on technology tools for education in mathematics and science in order to create a richer and more egalitarian learning environment. Classroom practices and state and national science and mathematics standards will be examined in light of research knowledge on tecnology in education. The scholarly literature on other issues related to technological literacy, such as equity, will be discussed and explored. 3 sh.

Prerequisites: MATH 512 or MATH 513 and matriculation in Ed.D.in Pedagogy or permission of graduate program coordinator.

MATH741: Historical and Multicultural Foundations of Mathematical Thought

This course will trace the historical evolution of major themes and concepts in mathematics and the role and influence of various cultures in the development of these ideas. Multicultural perspectives will survey the impact of non-European cultures, including those of Asia, Africa, the Americas, and the Middle East, on the development of mathematical thought. The course will also trace major curriculum reform movements in the teaching and learning of mathematics throughout the United States during the nineteenth and twentieth centuries and their impact on contemporary school programs. 3 sh.

Prerequisites: Matriculation in Ed.D.in Pedagogy, permission of graduate program coordinator.

MATH742: Mathematical Modeling in the Sciences

The exploration of mathematical models in the sciences and issues related to the teaching and learning of such models. Includes the collection and analysis of data using modern technology. Discussion of curricula that emphasize modeling and current research related to interdisciplinary approaches to teaching mathematics and science. 3 sh.

Prerequisites: Matriculation in Ed.D.in Pedagogy. Permission of graduate program coordinator.

MATH745: The Use of Teacher Knowledge in Mathematics Teaching

General and mathematics-specific domains of teacher knowledge are defined, critiqued, compared and contrasted. In addition, they are applied in analyzing and determining the domains' roles in lesson planning, responding to students' questions, addressing students' misconceptions, and assessing student understanding. The research history on teacher knowledge is examined and critiqued with an eye towards understanding the introduction and use of the domains of knowledge being employed by current educators and researchers. The role of these knowledge domains in implementing the NCTM Standards also is examined. Articles on teacher knowledge are discussed and analyzed. These ideas are employed in analyzing classroom or interview videotapes, audiotapes, and transcripts to determine the potential use of teacher knowledge as it is instantiated in more practical situations. 3 sh.

Prerequisites: Matriculation in Ed.D.in Pedagogy, permission of graduate program coordinator.

MATH790: Independent Study in Mathematics Education

With the guidance of a member of the doctoral faculty, students investigate topics that are outside the scope of regular course offerings. This allows doctoral candidates the opportunity to explore research topics more deeply. May be repeated for a maximum of 6 semester hours.. 3 sh.

Prerequisites: Matriculation in the Ed.D. in Mathematics Pedagogy; permission of graduate program coordinator.

MATH811: Mathematics Education Leadership

Students will gain experience working for systemic change in educational programs and thus become capable of assuming a leadership role for such change. This course is designed to provide a long-term experience with nurturing pedagogy, leadership development, and stewardship of best practices. Candidates will work closely with faculty to develop goals and expectations for specific change in their work settings, where appropriate, then evaluate progress towards these goals. Candidates will conduct field work in this area, including experimental design, implementation, and evaluation of results. The course includes reading, seminars, and portfolio development as well as presentations from visiting faculty and other leaders in mathematics education. 3 sh.

Prerequisites: Matriculation in Ed.D.in Pedagogy, permission of graduate program coordinator.

MATH812: Mathematical Modeling for Middle Level & High School Grades

This course will examine mathematical modeling as a process of identifying a problem, determining a mathematical core, working within that core, and reexamining the problem to ascertain what mathematics reveals about the original problem. Specific models related to various areas of mathematics will be explored, developed, and applied in the solution of contemporary problems, and the models will serve as unifying structures in the secondary curriculum. 3 sh.

Prerequisites: Matriculation in Ed.D.in Pedagogy, permission of graduate program coordinator.

MATH813: Geometry for Middle and High School Grades

This course discusses specific topics from geometry, their impact on the changing geometry curriculum in the schools, their application through technology, and their connection to other areas within and outside mathematics. Examples include dimension, scaling, measurement, and fractal dimension, with their use as unifying themes that can be studied from several points of view, that make use of current visualization technology, and that can be applied across disciplines. Additional topics may be selected from finite and projective geometries, spherical and other non-Euclidean geometries. The roles these topics play in enhancing mathematical thinking and visualization skills, both in these classroom teachers and, ultimately, in the students whom these teachers teach, are emphasized. Classroom materials, activities, and techniques are discussed and developed and concepts explained and explored through various modes, such as hands-on manipulatives, interactive computer software, and graphing calculators. 3 sh.

Prerequisites: A background in undergraduate geometry comparable to MATH 350 and matriculation in Ed.D.in Pedagogy, permission of graduate program coordinator.

MATH814: Algebra and Analysis for Middle and High School Grades

Topics from algebra and analysis will be used to explore and unify a variety of topics in the changing school curriculum. For example, the topic of linear transformations can be used to motivate the connection between geometric transformations and the related algebra. Topics will be selected to provide students with the tools to approach algebra numerically with middle school students as well as more abstractly with advanced senior high school students. Other topics, such as the Fundamental Theorem of Algebra, complex numbers, sequences, and series will be used to bridge the gap between algebra and topics in analysis. Then topics from analysis will be used to build a firm foundation on the structure of various number systems such as real and complex numbers. Part of the course will be axiomatic and theoretical development in the classical sense. Applications of these theoretical results to the school mathematics curriculum and to other academic fields, such as physics, will be explored. 3 sh.

Prerequisites: MATH 425 and MATH 431 and matriculation in Ed.D.in Pedagogy, permission of graduate program coordinator.

MATH815: Critical Thinking and Cognitive Development in Mathematics

Cognitive development and the application of critical thinking and problem solving strategies to the teaching and learning of mathematics. Mathematical models as unifying structures will be examined together with investigations into methods of acquiring mathematical knowledge and the nature of mathematical proof. Contemporary learning theories in mathematics will be surveyed and applied in specific classroom situations. 3 sh.

Prerequisites: Matriculation in Ed.D.in Pedagogy, permission of graduate program coordinator.

MATH825: Research in Mathematics Education

This course will examine the nature of research in mathematics education, its designs and methodologies, and its impact on school curricula. Research studies in cognitive development, curriculum and instruction, the teaching-learning process, language and communication in mathematics classrooms, and critical contemporary issues in mathematics education will be examined, analyzed, and discussed from the perspective of the classroom teacher. 3 sh.

Prerequisites: Matriculation in Ed.D.in Education with a concentration in Pedagogy (Philosophy for Children) or Ed.D.in Mathematics Pedagogy, permission of graduate program coordinator.

MATH830: Dissertation Proposal Seminar

Students will work with their dissertation advisors to develop and refine their dissertation proposals. The seminar is a supplement to the formal dissertation proposal process that is outlined in the handbook. Successful completion of this course does not imply approval of the dissertation proposal. This course will be offered as pass/fail only. Cross listed with Center of Pedagogy EDCO 830 and Educational Foundations EDFD 830. 1 - 3 sh.

Prerequisites: Matriculation in Ed.D.in Education with a concentration in Pedagogy (Philosophy for Children) or Ed.D.in Mathematics Pedagogy; admission to candidacy, permission of graduate program coordinator.

MATH900: Dissertation Advisement

While enrolled in Dissertation Advisement, students will work with their dissertation advisor and dissertation committee. Credits are reported as IP (In Progress) while the dissertation is being written. At the successful conclusion of the dissertation defense, a final grade of pass will be recorded. 3 - 12 sh.

Prerequisites: Matriculation in Ed.D.in Education with a concentration in Pedagogy (Philosophy for Children) or Ed.D.in Mathematics Pedagogy; advancement to candidacy, permission of graduate program coordinator.

MATH901: Dissertation Extension

Designed to allow students to maintain their matriculation while working on their dissertation similar to that of the master's thesis extension. Once students have acquired 12 credits of EDCO/EDFD/MATH 900 Dissertation Advisement, they are permitted to enroll in 1 credit of EDCO/EDFD/MATH Dissertation Extension. Students must register every semester until and including the semester of their defense. There is a ten-year limit from the time of initial matriculation. Credits are reported as IP (In Progress) while the dissertation is being written. At the conclusion of the dissertation defense, a final grade of pass or fail will be recorded. Cross listed with EDCO 901. 1 sh.

Prerequisites: 12 credits of dissertation advisement.

PSYC560: Advanced Educational Psychology

A comprehensive treatment of the cognitive and affective characteristics of the learner and the processes of learning and teaching provide the framework for this course. Behavioral, cognitive and information-processing theory are presented and their applicability to instructional strategies and classroom dynamics is discussed. Other areas included are the origins of individual differences including heredity and environment, early childhood education, cultural differences, student motivation, classroom management, measurement and evaluation, exceptional children and other topics. 3 sh.

READ501: Techniques of Reading Improvement in the Secondary School

Studies the improvement of nonclinical reading difficulties in the content subjects. For the subject area teacher and the beginning reading specialist. Secondary school reading needs and specific suggestions for guiding the slow, average, and gifted student in a classroom situation. 3 sh.

SPCM101: Fundamentals of Speech: Communication Requirement

This course introduces students to the theoretical and practical requirements of different types of public presentations and helps students develop an understanding and appreciation of the dynamic nature of the communication process. The course focuses on the basic elements of the communication process, listening, communicator and audience characteristics, basic research skills, and message composition and delivery. Students learn about the demands of public presentations in culturally and professionally diverse environments and develop presentation competence and flexibility. Meets Gen Ed 2002 - Communication, Communication. Meets the 1983 General Education Requirement (GER) - Communication, Speaking/Listening. 3 sh.

STAT441: Statistical Computing

This course is designed: (1) to acquaint students with the use of the computer in solving statistical problems, and (2) to develop intermediate level statistical methodology. Several statistical computing packages and the student's own programs will be utilized. 3 sh.

Prerequisites: STAT 330 or STAT 401 and computer experience.

STAT443: Introduction to Mathematical Statistics

Develops statistical methods from probability theory. Topics discrete and continuous probability distributions, estimation, inference and hypothesis testing. 3 sh.

Prerequisites: MATH 340 and either STAT 330 or STAT 401.

STAT500: Biostatistical Methods for Research Workers I

Planning effective observational and experimental research, data collecton and summarization, significance testing and p-values, t-test, chi-square, regression and correlation, use of statistical software, reading statistical results in the literature. Required course for the MPH degree. 3 sh.

Prerequisites: Permission of graduate program coordinator.

STAT541: Applied Statistics

Review of estimation and hypothesis testing for one sample and two sample problems; introduction to non-parametric statistics and linear regression; fundamental principles of design, completely randomized design, randomized block design, latin square, and 2 factor design. 3 sh.

Prerequisites: STAT 330 or STAT 443 and permission of graduate program coordinator.

STAT542: Statistical Theory I

Discrete and continuous probability distributions, multivariate distributions, sampling theory, transformations, Chi-squared, 'F' and 't' distributions. Point estimation, properties of estimators, sufficiency, exponential families, interval estimation, hypothesis testing, power, Neyman-Pearson Lemma, likelihood ratio tests. The impact of the above theory on areas such as regression analysis, analysis of variance and analysis of discrete data. 3 sh.

Prerequisites: STAT 541 and permission of graduate program coordinator.

STAT543: Statistical Theory II

Discrete and continuous probability distributions, multivariate distributions, sampling theory, transformations, Chi-squared, 'F' and 't' distributions. Point estimation, properties of estimators, sufficiency, exponential families, interval estimation, hypothesis testing, power, Neyman-Pearson Lemma, likelihood ratio tests. The impact of the above theory on areas such as regression analysis, analysis of variance and analysis of discrete data. 3 sh.

Prerequisites: STAT 542 and permission of graduate program coordinator.

STAT544: Statistical Computing

Computer systems for data analysis and data graphics, and intermediate level statistical methodology are investigated. Several statistical computing packages are utilized and evaluated. 3 sh.

Prerequisites: STAT 541 or STAT 548, and CMPT 183, and permission of graduate program coordinator.

STAT545: Practicum in Statistics I

An applied experience in which students work with practitioners in industry, government or research organizations utilizing statistical techniques in a research setting. Students will work with statisticians on projects involving experimental design and data collection as well as the analysis and interpretation of the data. May be repeated once. 3 sh.

Prerequisites: STAT 541, STAT 544, and STAT 547 or STAT 548, and permission of graduate program coordinator.

STAT546: Non-Parametric Statistics

Selected distribution-free tests and estimation techniques including sign, Kolmogorov-Smirnov, Wilcoxon signed rank, Mann-Whitney, Chi-square, rank correlation, Kendall's Tau, Kruskal-Wallace, Friedman, McNemar, and others. 3 sh.

Prerequisites: STAT 330 and permission of graduate program coordinator.

STAT547: Design and Analysis of Experiments

Fundamental principles of design; fixed, random and mixed models; factorial designs; designs with restricted randomization; split-plot design; confounding; fractional replication; experimental and sampling errors. 3 sh.

Prerequisites: STAT 541 or STAT 548, and permission of graduate program coordinator.

STAT548: Applied Regression Analysis

Fitting equations to data; matrices, linear regression; correlation; analysis of residuals; multiple regression; polynomial regression; partial correlation; stepwise regression; regression and model building; regression applied to analysis of variance problems; introduction to nonlinear regression. 3 sh.

Prerequisites: STAT 330 or STAT 443, and permission of graduate program coordinator.

STAT549: Sampling Techniques

Sampling and survey methodology; basic sampling theory; simple, stratified, random, cluster, systematic and area sampling. Sampling errors and estimation procedures. 3 sh.

Prerequisites: STAT 330 or STAT 443, and permission of graduate program coordinator.

STAT552: Intermediate Statistics Methods

Followup to introductory statistical methods course. Principles of statistical inference; categorical data analysis; one and two-way anova; multiple linear regression; nonparametric methods; bootstrap methods. Examples from a wide variety of disciplines. Statistical software is used. 3 sh.

Prerequisites: STAT 330, permission of graduate program coordinator.

STAT561: Statistical Data Mining I

Introduction to the concepts and applications of a variety of data mining methods. Data mining is the process of selecting, exploring, and modeling large amounts of data to uncover previously unknown patterns in the data. Statistical methods covered include classification and regression trees, predictive modeling, and unsupervised learning. Hands-on applications to data sets from diverse fields. Statistical software is used. 3 sh.

Prerequisites: STAT 541 or STAT 548 or equivalent, permission of graduate program coordinator.

STAT562: Statistical Data Mining II

Continuation of STAT 561. An in-depth approach to the topics of STAT 561 including logistic regression, decision trees, classifier theory, predictive modeling and unsupervised learning methods. Mathematical details of these techniques as well as the computational methods for their implementation. Hands-on applications to data sets from diverse fields. Statistical software is used. 3 sh.

Prerequisites: STAT 548 and STAT 561, permission of graduate program coordinator.

STAT570: Statistical Consulting

An introduction to the statistical and interpersonal issues that arise in statistical consulting. Topics include communicating with scientists in other disciplines, technical writing and presentation, and statistical tools for consulting. Lectures center around real case studies presented by the instructor and invited speakers. Statistical software is used. Emphasis of the course is on the scientific, statistical, computational, and communication skills that a statistical consultant needs for interacting effectively with researchers from a wide range of disciplines. 3 sh.

Prerequisites: STAT 541 or equivalent, permission of graduate program coordinator.

STAT595: Topics in Statistics

Topics such as exploratory data analysis, statistical graphics, statistical quality control and statistical quality assurance, Bayesian methods and Markov chain monte carlo studies. May be repeated twice for a total of 9.0 credits. 3 sh.

Prerequisites: Permission of graduate program coordinator.

STAT597: Research Methods in Statistical Science

Preparation for research in statistical science. Application of mathematics and computing science to the development, modeling, validation and evaluation of statistical research methods. Identification of statistical issues in real world problems and novel applications of statistical methods to these problems. Development of research proposals in statistical science. 3 sh.

Prerequisites: STST 552 or equivalent and departmental approval.

STAT600: Statistical Methods for Research Workers I

Planning effective observational and experimental research, data collection and summarization, significance testing and p-values, t-test, chi-square, regression and correlation, use of statistical software, reading statistical results in the literature. 3 sh.

Prerequisites: Doctoral status, permission of graduate program coordinator.

STAT601: Statistical Methods for Research Workers II

Principles and practices of experimental design. Randomized comparative designs, randomized block designs, factorial designs, dealing with concomitant variables, repeated measurements. Predictive modeling and analysis of designed studies. Topics from multivariate analysis, time series analysis, categorical data analysis. Students analyze data from research projects. 3 sh.

Prerequisites: STAT 600 or equivalent, permission of graduate program coordinator.

STAT640: Biostatistics I

Fundamental statistical concepts and methods used by statistical scientists in the health, biological, medical and pharmaceutical industries. Categorical data analysis, logistic regression, generalized linear models, nonparametric regression techniques. 3 sh.

Prerequisites: STAT 544, STAT 547, STAT 548, and permission of graduate program coordinator.

STAT641: Biostatistics II

Fundamental statistical concepts and methods used by statistical scientists in the health, biological, medical and pharmaceutical industries. Survival analysis and designs for clinical trials. 3 sh.

Prerequisites: STAT 544, STAT 547, STAT 548, and permission of graduate program coordinator.

STAT642: Introduction to Stochastic Processes

Generating functions, convolutions, recurrent events, random walk models, gambler's ruin problems, Markov chains and processes, time dependent stochastic processes, queuing theory and epidemic models. 3 sh.

Prerequisites: MATH 540 and permission of graduate program coordinator.

STAT645: Advanced Topics in Statistics

Recent developments in statistical science. Topics such as data mining, statistical genomics, computationally intensive data-analytic methods, statistical consulting, dynamic statistical graphics and visualization, applied time series analysis. May be repeated with no limit as long as the topic is different. 3 sh.

Prerequisites: Permission of graduate program coordinator.

STAT646: Multivariate Analysis

Analysis of multiple response variables simultaneously; covariance and the multivariate normal distribution; manova, discriminant functions; principle components and canonical correlations. 3 sh.

Prerequisites: STAT 541, STAT 548 and permission of graduate program coordinator.

STAT647: Practicum in Statistics II

An applied experience in which students work with practitioners in industry, government or research organizations utilizing advanced statistical techniques in a research setting. Students will be expected to exhibit the ability to work independently on projects involving advanced techniques in experimental design, analysis and interpretation of data. May be repeated once. 3 sh.

Prerequisites: STAT 542, STAT 545, at least one 600-level course, and permission of graduate program coordinator.

STAT648: Advanced Statistical Methods

Advanced statistical concepts and methods used by statistical scientists in the analysis of designed experiments and observational studies. Response surface methodology, analysis of covariance, the general linear model, the cell means model and the analysis of variance of unbalanced or messy data. 3 sh.

Prerequisites: STAT 544, STAT 547, STAT 548, and permission of graduate program coordinator.

STAT649: Independent Study in Statistics

Independent study under the direction of a faculty member, offering the opportunity to pursue topics in statistics which may be outside the scope of regular curricular offerings or may be an extension of an existing course or courses. Approval must be obtained from the graduate coordinator and faculty advisor. May be repeated once for a maximum of 6.0 credits during the graduate program. 3 sh.

Prerequisites: Permission of graduate program coordinator and departmental approval.

STAT698: Master's Thesis

Independent study under faculty adviseent. Students must follow the MSU Thesis Guidelinies, which may be obtained from the Graduate School. Students should take STAT 699 if they do not complete STAT 698 within the semester. 3 sh.

Prerequisites: Permission of graduate program coordinator.

STAT699: Master's Thesis Extension

Continuation of Master's Thesis project. Thesis extension will be graded IP (In Progress) until thesis is completed, at which time a grade of Pass or Fail will be given. Course may be repeated. 1 sh.

Prerequisites: STAT 698, permission of graduate program coordinator.