CMPT183: Foundations of Computer Science I

Basic theory of digital computers. Syntax and semantics of a programming language. Algorithms: logic, design, testing and documentation. (2 hours lecture, 2 hours lab.) 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, this course places particular emphasis on the idea that all students can learn regardless of their gender, ability, race, ethnicity, or economic background. Students in the course study the history, philosophy, and politics that shape differing views about the roles and responsibilities of teachers, especially as these views relate to integration and inclusion in the classroom. Cross listed with EDFD 505. May be repeated once for a maximum of 6.0 credits. (3 hours lecture.) 3 sh.

Prerequisites: Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

CURR509: Sociocultural Perspectives on Teaching and Learning

This course examines how teachers, teaching, & schooling can foster the learning of pupils from diverse socio-economic, linguistic & cultural backgrounds. Students explore the ways socialization shapes perceptions of oneself & others; reflect on their own beliefs & assumptions about their sociocultural identities & how those have been shaped through experience; examine the nature & impact of the increasing social, cultural, & linguistic diversity in K-12 schools; & reflect on their capacity to bring about educational change that promotes equity & affirms diversity. They investigate ways of teaching all children successfully, particularly through a culturally responsive curriculum, & of developing positive relationships among teachers, parents, & children across diversity. Through a community study of an urban area with a predominantly poor & diverse population, students develop a framework for understanding the relationship between schools, communities, & society; cultivate skills needed to familiarize themselves with diverse communities & their residents; & envision ways they can help future students see connections between their in-school & out-of-school experiences. They also develop their ability to work collaboratively with colleagues. May be repeated once for a maximum of 6.0 credits. Cross listed with EDFD 509. (3 hours lecture.) 3 sh.

Prerequisites: CURR 505 or EDFD 505, CURR 518. Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

CURR516: Meeting the Needs of English Language Learners

This course examines the best practices in educating English language learners. Students gain a greater understanding of the linguistic difficulties and resources of English language learners as well as the importance of a multicultural curriculum. Students learn how to make content comprehensible and differentiate instruction based on the language levels of individual English language learners. Students develop an understanding of the academic and affective needs of English language learners, and of strategies for meeting these needs. May be repeated once for a maximum of 2.0 credits. Cross listed with EDFD 516. (1 hour lecture.) 1 sh.

Prerequisites: CURR 505 or EDFD 505, CURR 518. Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

CURR526: Teaching for Learning I

This is the first course in a two-semester sequence (CURR 526, CURR 543). 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 developed in previous courses in the professional sequence. In conjunction with CURR 527-Fieldwork, students have the opportunity to observe in classrooms and to do individual, small group, and whole class teaching. Students investigate democratic classroom practice by focusing on curriculum development; creating a positive, well-structured climate for learning in their classrooms; learning and practicing techniques for effective classroom management; and choosing appropriate teaching strategies and assessments to create successful learning experiences for their students. (3 hours lecture.) 3 sh.

Prerequisites: CURR 505 or EDFD 505; CURR 509 or EDFD 509; CURR 516 or EDFD 516; CURR 517; CURR 518; READ 501. Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

CURR527: Fieldwork

Students 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 hours lecture.) 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. Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

CURR529: Student Teaching

Full time student teaching in the public schools of New Jersey for the duration of a semester is required of all students who complete the regular program of certification requirements. 6 hour lab requirements. May be repeated once for a maximum of 12.0 credits. (6 hours lab.) 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). Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

CURR543: Teaching for Learning II

This is the second course in a two-semester sequence (CURR 526, CURR 543). This course focuses on putting into practice all the knowledge and skills students have developed throughout their professional sequence in their full-time, supervised student teaching experience. A primary focus is on planning and implementing curriculum. In addition to curriculum planning and using appropriate instructional and assessment strategies, students learn about the impact of the school and classroom culture and climate on student learning and on relationships between and among students, teachers, and other professionals in school. May be repeated once for a maximum of 6.0 credits. (3 hours lecture.) 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). Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

ELRS580: Learning Theories

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

FCST515: Child Development II: Adolescence

This course uses a developmental and ecological approach to study adolescents (11-18 years). Physical, cognitive, and social development throughout this age period are studied in terms of change within and differences between individuals. Family, peer, neighborhood, sociocultural, and political influences on adolescents are examined. The roles of race/ethnicity, gender, sexual orientation, and socioeconimic status in adolescent development are like wise examined. Out-of-class observations and/or interview projects as well as an APA style research literature review or proposal paper are required. Starting Summer 2012: Students utilize developmental and ecological approaches to study physical, cognitive, and social development of adolescents (11-18 years) in terms of change within and differences between individuals. Students also examine how family, peer, neighborhood, sociocultural factors, and politics can have an influence on adolescents. The roles of race/ethnicity, gender, sexual orientation, and socioeconomic status in adolescent development are likewise examined. Students also engage in out-of-class observations and/or interview projects as well as develop an APA style research literature review or proposal paper. (3 hours lecture.) 3 sh.

MATH122: Calculus I

Limits, continuity; derivative and differentiation; applications of the derivative, maxima, minima, and extreme considerations; antiderivatives; Riemann integral. (4 hours lecture.) 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. (4 hours lecture.) 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 hours lecture.) 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 majors in Mathematics. (4 hours lecture.) 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 hours lecture.) 3 sh.

Prerequisites: MATH 221.

MATH350: College Geometry

Study of Euclidean and other geometries from an axiomatic point of view. (3 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 3 sh.

Prerequisites: MATH 335.

MATH450: Foundations of Geometry

Groups of transformations, an introduction to projective geometry. (3 hours lecture.) 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 hours lecture.) 3 sh.

Prerequisites: MATH 425.

MATH463: Numerical Analysis

Finite differences, approximation theory, linear and non-linear equations, error analysis. (3 hours lecture.) 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 hours lecture.) 3 sh.

Prerequisites: MATH 335.

MATH465: Operations Research II

Game theory, queuing models, inventory models, Markov processes, reliability theory and applications. (3 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours seminar.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 - 4 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours seminar.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours lecture.) 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 hours seminar.) 1 - 4 sh.

Prerequisites: Graduate program coordinator's permission.

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 hours lecture.) 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. Starting Summer 2012: Techniques of Reading Improvement in the Secondary School introduces pre-service and in-service teachers to an array of cross-content literacy strategies for the improvement of nonclinical reading difficulties. Students learn how to ground literacy strategies in purposeful and meaningful curricular and pedagogical projects. (3 hours lecture.) 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. (3 hours lecture.) 3 sh.

SPED568: Instructional Planning for Students with Disabilities in Inclusive Settings II

This course will enhance the ability of future educators to provide effective planning and instruction for students with disabilities in 6-12 inclusive classrooms. Educators will learn how to apply developmentally appropriate practice and curriculum design to improve the learning of students who exhibit competencies across a wide range. The emphasis will be on practical techniques and strategies that can be utilized in an inclusive setting. (3 hours lecture.) 3 sh.

Prerequisites: SPED 579. Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

SPED579: Special Education for Students with Disabilities

An overview of instruction for students with special needs; characteristics of special populations, federal and state legislation, educational implications of disabling conditions, principles for instruction and planning for inclusion are presented; community resources and special issues related to the education of students with disabilities are discussed. (3 hours lecture.) 3 sh.

SPED584: Assessment and Evaluation in the Inclusive Classroom

This course is designed to be an introduction for pre-service teachers in the field of Special Education assessment and accountability. The course will introduce students to elements of traditional assessment, including record keeping, grading, objective and essay testing, theories of validity as well as authentic, performance, and portfolio assessment. The keeping of anecdotal records, inclusion, heterogeneous groups, and accommodations will also be components of this course. () 2 - 3 sh.

Prerequisites: SPED 579. Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

SPED585: Technology for Inclusive Classrooms

The course is designed to provide educators with an understanding of how to use technology as a seamless part of the teaching and learning experience for students with disabilities in inclusive settings. Two main purposes for students with disabilities will be emphasized. Teachers will learn how to provide access to the curriculum for students with disabilities by using the principles of Universal Design for Learning as a framework for curriculum design. They will learn how to utilize technology to meet the unique needs of students with disabilities in order for them to attain maximum independence and participation in all environments. () 2 - 3 sh.

Prerequisites: SPED 579. Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

SPED586: Transition Services for Students with Disabilities

This course will focus on a Research-Based and Teacher-Tested Support Model for planning and implementing transition services for students with disabilities. Successful transition services will allow students to build the bridges toward becoming independent self advocates with the insights, skills, knowledge, and learning techniques for successful transition from school to adult life. (3 hours lecture.) 3 sh.

Prerequisites: SPED 579. Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

SPED588: Promoting Prosocial Behaviors in Inclusive Settings

This course is designed to provide future teachers with theory and practice related to the development of appropriate prosocial behaviors within inclusive classroom settings for students with disabilities. This course will focus on behavior and the developmental and environmental factors that influence its expression. Emphasis will be placed on functional analysis of behavior, how to promote appropriate behavior, and how to develop a classroom setting that fosters prosocial behaviors. Principles of social/emotional learning, social skills development as well as data collection, schedules of reinforcement monitoring progress, social problem solving, and promotion of positive behavior plans will be explored. () 2 - 3 sh.

Prerequisites: SPED 579. Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

SPED591: Teaching Organization and Study Skills for the Inclusive Classroom. Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI) or Master of Education (MED

In this course, future and practicing teachers who work with students with disabilities in middle and secondary school learn how to enable those students to become more effective learners so they can have greater access to the general education curriculum. Increased inclusion has led to higher expectations for students with disabilities and the need to meet the more rigorous demands of the general education classroom. This requires study and organization skills, wich students with disabilities often lack as a result of the impact of their disability. In this course, teachers become familiar with research-based study and organization strategies as well as effective instructional methods for systematic and explicit instruction to teach these strategies. Through these strategies, they can help students compensate for their disability characteristics and become more independent, engaged learners. (3 hours lecture.) 2 - 3 sh.

Prerequisites: SPED 469, SPED 568 or SPED 587. Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

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 hours lecture.) 3 sh.

Prerequisites: STAT 330 or STAT 401 and computer experience.

STAT442: Fundamentals of Modern Statistics II

Continuation of STAT 440. 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 hours lecture.) 3 sh.

Prerequisites: STAT 330 or STAT 401 or equivalent.