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2012 - 2013 Graduate Catalog

Course Descriptions

Mathematics:

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  • Prerequisites
  • General Education
  • Writing Emphasis
  • Travel Course
  • Repeatable
  • Additional Fees
Credits3
Lecture
Spring
Fall
MATH-094

Elementary Algebra

Intended as a preparation for Math 101. Topics include: properties of real numbers, exponents and polynomials, simplifying variable expressions, linear equations and inequalities, factoring, graphing, and basic quadratic equations. Offered on a pass/no credit, non-degree credit basis only.

    Credits3
    Lecture
    Spring
    Fall
    MATH-101

    Intermediate Algebra

    Properties of the real numbers; solving linear and quadratic equations and inequalities; polynomials; fractional expressions and equations; exponents, powers and roots; systems of linear equations.

    Prerequisites
    P: Math 094 or Math Placement of Math 101 or greater.
      Credits4
      Lecture
      Spring
      Fall
      MATH-104

      Elementary Functions: Algebra and Trigonometry

      The real number system; inequalities; functions and their inverses; exponential and logarithmic functions; trigonometric and inverse trigonometric functions; complex numbers; polynomial and rational functions; systems of equations.

      Prerequisites
      P: Math 101 with at least a C grade or transfer cse Math 004 or Math Placement of Math 104 or greater.
        Credits3
        Lecture
        Spring
        Fall
        MATH-201

        Calculus for the Management and Social Sciences

        Basic concepts and techniques of differential and integral calculus; Applications in the fields of accounting, economics, finance and management.

        Prerequisites
        P: Math 101 with at least a C grade or transfer cse Math 004 or Math Placement of Math 104 or greater.
          Credits4
          Lecture
          Spring
          Fall
          MATH-202

          Calculus and Analytic Geometry I

          Differential and integral calculus of the elementary functions with associated analytic geometry; transcendental functions; techniques of integration; application; sequences and series.

          Prerequisites
          P: Math 104 with at least a C grade or Math Placement of Math 202 or greater.
            Credits4
            Lecture
            Spring
            Fall
            MATH-203

            Calculus and Analytic Geometry II

            Differential and integral calculus of the elementary functions with associated analytic geometry; transcendental functions; techniques of integration; application; sequences and series.

            Prerequisites
            P: Math 202 with at least a C grade.
              Credits4
              Lecture
              Spring
              Fall
              MATH-209

              Multivariate Calculus

              Real-valued functions of several variables; tangent and normal lines; chain rule for partial derivatives; extrema; least squares method; higher-ordered derivatives; integration; polar and cylindrical coordinates; spherical coordinates; vector fields; line integrals; physical applications.

              Prerequisites
              P: Math 203 with at least a C grade.
                Credits4
                Lecture
                Spring
                Fall
                MATH-260

                Introductory Statistics

                Descriptive and inferential statistics; frequency distributions; graphical techniques; measure of central tendency and of dispersion; probability regression correlation, analysis of count data, analysis of variance. Credit will not be granted for both Math 260 and (Bus Adm 215 or Comm Sci 205).

                Prerequisites
                P: Math 101 with at least a C grade or Math Placement of Math 101/260 or greater. Credit will not be granted for both Math 260 and (Bus Adm 215 or Comm Sci 205).
                  Credits3
                  Lecture
                  Spring
                  Fall
                  MATH-281

                  Conceptual Foundations of Elementary Mathematics I

                  Foundations of mathematics, particularly those concepts common to the mathematics curriculum of elementary schools. Explores the processes of abstraction, symbolic representation, notational manipulation and modeling in all arithmetic contexts; examines non-arithmetic topics such as geometry, probability, statistics, algebra, and programming concepts.

                  Prerequisites
                  P: Full admission to EDUC.
                    Credits3
                    Lecture
                    Spring
                    Fall
                    MATH-282

                    Conceptual Foundations of Elementary Mathematics II

                    Foundations of mathematics, particularly those concepts common to the mathematics curriculum of elementary schools. Explores the processes of abstraction, symbolic representation, notational manipulation and modeling in all arithmetic contexts; examines non-arithmetic topics such as geometry, probability, statistics, algebra, and programming concepts. May not be taken on a pass/no credit basis.

                    Prerequisites
                    P: Full Admission to EDUC
                      Credits1-4
                      Field EXP
                      MATH-299

                      Travel Course

                      • Pre-Requisites
                      • General Education
                      • Travel Course
                      • Repeatable

                      Travel courses are conducted to various parts of the world and are led by one or more faculty members. May be repeated to different locations.

                      Prerequisites
                      P: cons of instr & prior trip arr & financial deposit.
                      • Gen Ed: World Culture
                      • Travel Course
                      • Course is repeatable for credit.
                      Credits3
                      Lecture
                      Spring
                      MATH-305

                      Ordinary Differential Equations

                      Solutions and applications of first and higher order linear differential equations; the meanings of existence and uniqueness theorems; nonlinear differential equations; modeling physical and biological systems.

                      Prerequisites
                      P: Math 203 with at least a C grade.
                        Credits3
                        Lecture
                        Spring
                        MATH-314

                        Proofs in Number Theory and Topology

                        This course deals with the construction of detailed proofs of mathematical theorems within the context of the fertile fields of Number Theory and Topology.

                        Prerequisites
                        P: Math 202 with at least a C grade; REC: Math 203.
                          Credits3
                          Lecture
                          Fall
                          MATH-320

                          Linear Algebra I

                          Matrices and vector space concepts. Systems of linear equations, matrices, determinants, vectors in two-and three-space, vector spaces, linear transformations, eigenvalues, and eigenvectors; positive-definite matrices, normal forms, the principal axis theorem, applications.

                          Prerequisites
                          P: Math 203 with at least a C grade.
                            Credits3
                            Lecture
                            Spring
                            MATH-321

                            Linear Algebra II

                            Matrices and vector space concepts. Systems of linear equations, matrices, determinants, vectors in two-and three-space, vector spaces, linear transformations, eigenvalues, and eigenvectors; positive-definite matrices, normal forms, the principal axis theorem, applications.

                            Prerequisites
                            P: Math 320 with at least a C grade.
                              Credits4
                              Lecture
                              Fall
                              MATH-323

                              Analysis I

                              A course in the basic ideas of classical real analysis. Sets, functions, real numbers, limits, Euclidean space, topology of Euclidean space, continuity and uniform continuity, uniform convergence, and function spaces and their applications.

                              Prerequisites
                              P: Math 209 with at least a C grade and 314 with at least a C grade.
                                Credits4
                                Lecture
                                Spring
                                MATH-324

                                Analysis II

                                Differentiable mappings, the inverse and implicit function theorems and related topics, integration on Euclidean space, Fubini's theorem and the change of variables formula, and Fourier Analysis.

                                Prerequisites
                                P: Math 323 with at least a C grade.
                                  Credits3
                                  Lecture
                                  Fall
                                  MATH-328

                                  Introduction to Algebraic Structures

                                  Groups, rings, and fields as organizing ideas. Basic structure theorems. Applications.

                                  Prerequisites
                                  P: Math 314 with at least a C grade and 320 with at least a C grade.
                                    Credits3
                                    Lecture
                                    Fall
                                    Even Only
                                    MATH-355

                                    Applied Mathematical Optimization

                                    Analytical and numerical optimization techniques; linear, nonlinear, integer, and dynamic programming. Techniques applied to problems of water, forest, air and solid-waste management.

                                    Prerequisites
                                    P: Math 320 with at least a C grade or conc enr.
                                      Credits3
                                      Lecture
                                      Fall
                                      Even Only
                                      MATH-360

                                      Theory of Probability

                                      Probability as a mathematical system, with applications; basic probability theory; combinatorial analysis; distribution functions and probability laws; mean and variance of a probability law; expectation related probability laws; random variables.

                                      Prerequisites
                                      P: Math 209 with at least a C grade.
                                        Credits3
                                        Lecture
                                        Spring
                                        Odd Only
                                        MATH-361

                                        Mathematical Statistics

                                        Sample moments and their distributions; tests of hypotheses; point and interval estimation; regression and linear hypotheses; nonparametric methods; sequential methods.

                                        Prerequisites
                                        P: Math 320 with at least a C grade and 360 with at least a C grade.
                                          Credits3
                                          Lecture
                                          Spring
                                          MATH-385

                                          Foundations of Geometry

                                          Intuitive and deductive introductions to Euclidean, affine, hyperbolic, spherical, elliptic and projective geometries.

                                          Prerequisites
                                          P: Math 314 with at least a C grade.
                                            Credits3
                                            Lecture
                                            Fall
                                            Even Only
                                            MATH-410

                                            Complex Analysis

                                            Algebra and geometry of complex numbers; analytic functions, elementary transformations, integration, Taylor and Laurent series, contour integration, residues, conformal mapping.

                                            Prerequisites
                                            P: Math 209 with at least a C grade.
                                              Credits3
                                              Lecture
                                              Spring
                                              Even Only
                                              MATH-425

                                              Dynamical Systems

                                              Fundamental concepts and techniques of discrete and continuous dynamical systems; asymptotic behavior, structural stability, elementary bifurcations, strange attractors, fractals, chaos. Applications to physical and biological systems.

                                              Prerequisites
                                              P: Math 209 with at least a C grade and 320 with at least a C grade; and 305 with at least a C grade or conc enr.
                                                Credits4
                                                Lecture
                                                Spring
                                                Even Only
                                                MATH-430

                                                Design of Experiments

                                                Statistical theory and practice underlying the design of scientific experiments, and methods of analysis. Replication, randomization, error, linear models, least squares, crossed and nested models, blocking, factorial experiments, Latin squares, confounding, incomplete blocks, split-plots.

                                                Prerequisites
                                                P: Math 202 with at least a C grade; and Math 260 with at least a C grade or Bus Adm 215 with at least a C grade.
                                                  Credits4
                                                  Lecture
                                                  Spring
                                                  Odd Only
                                                  MATH-431

                                                  Multivariate Statistical Analysis

                                                  Principles and practice in the analysis of multivariate data. Correlation, partial correlation, principle components, factor analysis discriminate functions, canonical correlation, cluster analysis, multidimensional scaling. Emphasis on computer analysis of actual data.

                                                  Prerequisites
                                                  P: Math 202 with at least a C grade and 320 with at least a C grade; and Math 260 with at least a C grade or Bus Adm 215 with at least a C grade.
                                                    Credits4
                                                    Lecture
                                                    Fall
                                                    MATH-467

                                                    Applied Regression Analysis

                                                    Techniques for fitting linear regression models are developed and applied to data. Topics include simple linear regression, multivariate regression, curvilinear regression and linearizable models.

                                                    Prerequisites
                                                    P: Math 260 with at least a C grade or Bus Adm 215 with at least a C grade; and Math 202 with at least a C grade and 320 with at least a C grade; REC: knowledge of Excel.
                                                      Credits1-4
                                                      IND Study
                                                      MATH-492

                                                      Special Topics in Mathematics

                                                      This course brings together students and professors who have a mutual interest in some topic not otherwise available among the usual mathematics and statistics offerings.

                                                      • Course is repeatable for credit.
                                                      Credits1-12
                                                      Field EXP
                                                      Spring
                                                      Fall
                                                      MATH-497

                                                      Internship

                                                      Supervised practical experience in an organization or activity appropriate to a student's career and educational interests. Internships are supervised by faculty members and require periodic student/faculty meetings.

                                                      Prerequisites
                                                      P: jr st.
                                                      • Course is repeatable for credit.
                                                      Credits1-4
                                                      IND Study
                                                      Spring
                                                      Fall
                                                      MATH-498

                                                      Independent Study

                                                      Independent study is offered on an individual basis at the student's request and consists of a program of learning activities planned in consultation with a faculty member. A student wishing to study or conduct research in an area not represented in available scheduled courses should develop a preliminary proposal and seek the sponsorship of a faculty member. The student's advisor can direct him or her to instructors with appropriate interests. A written report or equivalent is required for evaluation, and a short title describing the program must be sent early inthe semester to the registrar for entry on the student's transcript.

                                                      Prerequisites
                                                      P: fr or so st with cum gpa > or = 2.50; or jr or sr st with cum gpa > or = 2.00.
                                                      • Course is repeatable for credit.
                                                      Credits1-6
                                                      Field EXP
                                                      MATH-499

                                                      Travel Course

                                                      • Pre-Requisites
                                                      • General Education
                                                      • Travel Course
                                                      • Repeatable

                                                      Travel courses are conducted to various parts of the world and are led by one or more faculty members. May be repeated to different locations.

                                                      Prerequisites
                                                      P: cons of instr & prior trip arr & financial deposit.
                                                      • Gen Ed: World Culture
                                                      • Travel Course
                                                      • Course is repeatable for credit.
                                                      Credits3
                                                      Lecture
                                                      Fall
                                                      Even Only
                                                      MATH-555

                                                      Applied Mathematical Optimization

                                                      Analytical and numerical optimization techniques; linear, nonlinear, integer, and dynamic programming. Techniques applied to problems of water, forest, air and solid-waste management.

                                                      Prerequisites
                                                      P: gr st.
                                                        Credits4
                                                        Lecture
                                                        Spring
                                                        MATH-630

                                                        Design of Experiments

                                                        Statistical theory and practice underlying the design of scientific experiments, and methods of analysis. Replication, randomization, error, linear models, least squares, crossed and nested models, blocking, factorial experiments, Latin squares, confounding, incomplete blocks, split-plots.

                                                        Prerequisites
                                                        P: gr st and intro stats cse.
                                                          Credits4
                                                          Lecture
                                                          Spring
                                                          Odd Only
                                                          MATH-631

                                                          Multivariate Statistical Analysis

                                                          Principles and practice in the analysis of multivariate data. Correlation, partial correlation, principle components, factor analysis discriminate functions, canonical correlation, cluster analysis, multidimensional scaling. Emphasis on computer analysis of actual data.

                                                          Prerequisites
                                                          P: gt st and intro stats cse.
                                                            Credits4
                                                            Lecture
                                                            MATH-667

                                                            Applied Regression Analysis

                                                            Techniques for fitting linear regression models are developed and applied to data. Topics include simple linear regression, multivariate regression, curvilinear regression and linearizable models.

                                                            Prerequisites
                                                            P: gr st.
                                                              Credits1-3
                                                              IND Study
                                                              MATH-698

                                                              Independent Study

                                                              Sorry, this course does not have a description.

                                                              Prerequisites
                                                              P: gr st.
                                                              • Course is repeatable for credit.