CSIT111: Fundamentals of Programming I (2 hours lecture, 2 hours lab)

Basic theory of digital computers. Syntax and semantics of a programming language. Algorithms: logic, design, testing and documentation. Previous course CMPT 183 effective through Spring 2014. 3 sh.

Prerequisites: MATH 100. MATH 112 may be taken as a corequisite or prerequisite.

MATH122: Calculus I (4 hours lecture)

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

Riemann integral applications, transcendental functions, techniques of integration, improper integrals, L'Hospital's rule, infinite series. 4 sh.

Prerequisites: MATH 122 with grade of C- or better.

MATH222: Calculus III (4 hours lecture)

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

Prerequisites: MATH 221 with a grade of C- or better.

MATH323: Complex Variables (3 hours lecture)

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. Previous course MATH 423 effective through Spring 2014. 3 sh.

Prerequisites: MATH 222 with a grade of C- or better.

MATH335: Linear Algebra (4 hours lecture)

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 sh.

Prerequisites: MATH 222 with a grade of C- or better.

MATH340: Probability (3 hours lecture)

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

Prerequisites: MATH 221 with a grade of C- or better.

MATH350: College Geometry (3 hours lecture)

The study of a wide range of advanced concepts in Euclidean geometry suitable for teaching foundations of axiomatic systems at the high school or middle school level. Topics involving triangle congruence, parallel line postulate, properties of polygons and circles, area, volume, Pythagorean Theorem, similarity, transformations and geometric constructions will be studied from an advanced, proof-based perspective. Basics of Non- Euclidian geometries will be introduced. Geometers' Sketchpad and other software will be utilized. 3 sh.

Prerequisites: MATH 320 with a grade of C- or better.

MATH368: Fluid Mechanics (3 hours lecture)

Mechanics of continuous media, liquids and gases; stress, viscosity, Navier-Stokes and Euler Equations, exact solutions, potential flow, circulation and vorticity, dimensional analysis and asymptotic models, boundary layers, stability theory and applications to industrial environmental problems. Cross listed with PHYS 368. Previous course MATH 468 effective through Spring 2014. 3 sh.

Prerequisites: MATH 222 with a grade of C- or better.

MATH398: Vector Calculus (3 hours lecture)

Topics include the algebra of the differential and integral calculus; gradients, divergence and curl of a vector field, and integral theorems together with applications drawn from the physical sciences. 3 sh.

Prerequisites: MATH 335 with a grade of C- or better.

MATH420: Ordinary Differential Equations (4 hours lecture)

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 with a grade of C- or better.

MATH421: Partial Differential Equations (3 hours lecture)

Partial differential equations arise in the mathematical modeling of many physical, chemical, and biological phenomena. They play a crucial role in diverse subject areas, such as fluid dynamics, electromagnetism, material science, astrophysics, financial modeling, and hydrogeology, for example. This course is an introduction to partial differential equations with emphasis on the wave, diffusion and Laplace equations. The focus will be on understanding the physical meaning and mathematical properties of solutions of partial differential equations. Methods of solutions include separation of variables using orthogonal series, transform methods, method of characteristics, and some numerical methods. 3 sh.

Prerequisites: MATH 420 with a grade of C- or better.

MATH425: Advanced Calculus I (3 hours lecture)

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

Prerequisites: MATH 335 with a grade of C- or better.

MATH426: Advanced Calculus II (3 hours lecture)

This course is a continuation of MATH 425. Topics include functions of several variables, partial derivatives, Green's theorem, Stoke's theorem, divergence theorem, implicit function theorem, inverse function theorem, infinite series and uniform convergence. 3 sh.

Prerequisites: MATH 425 with a grade of C- or better.

MATH431: Foundations of Modern Algebra (3 hours lecture)

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

Prerequisites: MATH 335 with a grade of C- or better.

MATH433: Theory of Numbers (3 hours lecture)

This course presents the principal ideas of classical elementary number theory, emphasizing the historical development of these results and the important figures who worked on them. Topics studied include the following: divisibility, primes, and the Euclidean Algorithm; number-theoretic functions, linear congruencies, the Chinese Remainder Theorem, the Theorems of Fermat, Euler, and Wilson; quadratic congruencies and the Law of Quadratic Reciprocity; Diophantine equations and Fermat's Last Theorem; continued fractions; Pell's equation and the sum of two squares. 3 sh.

Prerequisites: MATH 335 with a grade of C- or better.

MATH436: Elements of Logic (3 hours lecture)

Deduction, propositional functions, quantifiers, consistency, decision problems and Goedel's theorem. 3 sh.

Prerequisites: MATH 335 with a grade of C- or better.

MATH450: Foundations of Geometry (3 hours lecture)

The course deals with the fundamental ideas common to Euclidean and Non-Euclidean geometries; projective, affine, and metric geometries. 3 sh.

Prerequisites: MATH 335 with a grade of C- or better.

MATH451: Topology (3 hours lecture)

Point set topology including topics such as, metric spaces, limit points, derived sets, closure, continuity, compact sets and connected sets. 3 sh.

Prerequisites: MATH 425 with a grade of C- or better.

MATH460: Introduction to Applied Mathematics (3 hours lecture)

This course is a survey of applied mathematical techniques, including such topics as control theory (feedback control systems, Nyquist and Popov plots, pole shifting, Laplace transforms) and classical boundary value problems (Sturm-Liouville equations with solution techniques involving Fourier series). Applications will use the theory of calculus of variations which includes the variational derivative, the general variation of a functional, variation in parametric form, and the invariance of the Euler's equations. Prerequisite: MATH 335. 3 sh.

Prerequisites: MATH 420 with a grade of C- or better.

MATH463: Numerical Analysis (3 hours lecture)

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

Prerequisites: MATH 335 with a grade of C- or better.

MATH464: Operations Research I (3 hours lecture)

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

Prerequisites: MATH 335 with a grade of C- or better.

MATH465: Operations Research II (3 hours lecture)

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

Prerequisites: MATH 335 and MATH 340 both with a grade of C- or better.

MATH466: Mathematics of Finance I (3 hours lecture)

Mathematical theory of interest rates, annuities, bond valuation, stock valuation, options, arbitrage, binomial trees, put-call parity, Black Scholes Model, Capital Asset Pricing Model (CAPM) and portfolio selection. 3 sh.

Prerequisites: FINC 321 and MATH 340 both with a grade of C- or better.

MATH467: Mathematics of Finance II (3 hours lecture)

Mathematical theory of forward/futures contract, hedging with futures, fixed income market analysis, duration, immunization, financial swaps, interest swaps, currency swaps, future options, Black Scholes Model, put-call parity, binomial trees, other options, and volatility. This course can be used as part of preparation for SOA/CASACT Actuarial Examinations, Course 2. 3 sh.

Prerequisites: MATH 466 with a grade of C- or better.

MATH469: Mathematical Modeling (3 hours lecture)

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 420 and MATH 340; and MATH 464 or STAT 330 all with a grade of C- or better.

MATH471: Selected Topics in Modern Mathematics (3 hours lecture)

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: MATH 335 with a grade of C- or better and admission into the Teacher Education Program.

MATH485: Applied Combinatorics and Graph Theory (3 hours lecture)

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 with a grade of C- or better.

MATH487: Introduction to Mathematical Cryptography (3 hours lecture)

A modern introduction to the application of number theory, combinatorics and abstract algebra to cryptography. Specifically, this includes modular arithmetic, generating polynomials and matrix algebra over rings and fields. A discussion of a broad range of applications of mathematics to the security of credit cards, cell phones and codes among numerous other current examples will be covered. Current industry protocols will be explored. 3 sh.

Prerequisites: MATH 335 with a grade of C- or better.

MATH490: Honors Seminar (3 hours 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 with a grade of C- or better; and departmental approval.

MATH495: Topics for Undergraduates (1 hour lecture)

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

Prerequisites: MATH 335 and MATH 340 both with a grade of C- or better; and departmental approval.

MATH497: Mathematics 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 with a grade of C- or better; and departmental approval.

MATH498: Mathematics 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 with a grade of C- or better; and departmental approval.

MATH501: Mathematics for Computer Science I (4 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 - 4 sh.

Prerequisites: Permission of graduate program coordinator.

MATH512: Technology in the Middle Grades Mathematics Curriculum (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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

Prerequisites: Permission of graduate program coordinator.

MATH519: Teaching Mathematics (3 hours lecture)

Selection, organization, and presentation of secondary mathematics, classroom activities, lesson planning, techniques of motivation, evaluation, multi-sensory aids, principles of learning, assessment, and applications of technology to classroom teaching. 3 sh.

MATH520: Set Theory (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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

Prerequisites: MATH 531, permission of graduate program coordinator.

MATH535: Linear Algebra I (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 Equations (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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.

MATH574: Problem Analysis in Secondary Mathematics (3 hours lecture)

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 (3 hours lecture)

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 (3 hours seminar)

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 (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 (3 hours lecture)

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 (1-4 hours 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 (3 hours lecture)

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.

PHYS191: University Physics I (3 hours lecture, 2 hours lab)

This one-semester calculus-based course including laboratory is a study of the principles of physics and some applications to society's problems. Topics covered include mechanics, thermodynamics, fluids, and harmonic motion. 4 sh.

Prerequisites: MATH 122 is prerequisite or co-requisite.

PHYS192: University Physics II (3 hours lecture, 2 hours lab)

Calculus-based course. Study of some principles of physics and some applications to society's problems. Topics include: wave motion, sound and noise pollution, optics, electricity, lasers, nuclear theory, radiation, nuclear reactors, waste disposal. 4 sh.

Prerequisites: MATH 221 is prerequisite or corequisite.

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).

STAT330: Fundamentals of Modern Statistics I (3 hours lecture)

Displaying, describing and modeling data; arrangements for producting data; probability; methods for drawing conclusions from data: significance testing, confidence interval estimation, linear regression, analysis of variance. Examples from many disciplines including the social and natural sciences. Statistical software is used. 3 sh.

Prerequisites: MATH 221 with a grade of C- or better.

STAT441: Statistical Computing (3 hours lecture)

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 with a grade of C- or better.

STAT442: Fundamentals of Modern Statistics II (3 hours lecture)

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 sh.

Prerequisites: STAT 330 with a grade of C- or better or STAT 401 with a grade of C- or better.

STAT443: Introduction to Mathematical Statistics (3 hours lecture)

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

Prerequisites: MATH 340 with a grade of C- or better; and STAT 330 or STAT 401 with a grade of C- or better.

STAT495: Topics in Statistical Science

Guided study of selected topics in statistical science such as exploratory data analysis, applied multivariate methods, statistical quality control, design of experiment. May be repeated once for a maximum of 6.0 credits. 1 - 3 sh.

Prerequisites: STAT 330 with a grade of C- or better or STAT 401 with a grade of C- or better.

STAT497: Undergraduate Research in Statistical Science

Individual research in an area of statistical science agreed upon by the student and instructor. The results of the research will be the basis of a seminar or colloquium to be given by the student. May be repeated five times for a total of six credits. Students must not accumulate more than six credits total in courses MATH 497, MATH 498, STAT 495, STAT 497. 1 - 3 sh.

Prerequisites: STAT 442 with a grade of C- or better and departmental approval.