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Following certain course descriptions are the designations: F (Fall), Sp (Spring), Su (Summer) . These designations indicate the semester(s) in which the course is normally offered and are intended as an aid to students planning their programs of study.
410 Introduction to Analysis-3 hours. A study of the real number system as a complete ordered field, completeness properties and their equivalences, function of a single real variable, continuity differentiability, uniform continuity, and Riemann integral. Prerequisite: MATH 335.
411 Theory of Numbers-3 hours. The transition between problem-solving mathematics which develops a theory. This course is rich in material useful for the secondary and elementary teacher. Prerequisite: MATH 335.
412 Modern Abstract Algebra I-3 hours. Sets, functions, relations, number systems, theory of groups, including discussion of morphisms, quotient groups, and solvable groups. Prerequisite: MATH 413. F
413 Linear Algebra-3 hours. Systems of linear equations, vector spaces, basic properties of matrices and determinants, linear transformations on a vector space and canonical representations of a linear transformation. Prerequisite: MATH 335. Sp
414 Modern Abstract Algebra II-3 hours. Rings, integral domains, fields, quaternions, including discussions of characterizations of integers, embedding theorems, polynomials, and extension fields. Prerequisite: MATH 412.
426 Point Set Topology-3 hours. Definition and properties of a topological space; continuous functions, and homeomorphisms, various topological properties such as compactness, separation, and connectedness; metric spaces. Prerequisite: 15 hours of mathematics or consent of instructor.
432 Advanced Calculus-3 hours. Functions of several variables, transformations, multiple integrals, line and surface integrals, infinite series. Prerequisite: MATH 335.
433 Differential Equations-3 hours. Solutions to and applications of linear differential equations of order "n" and linear systems of differential equations. Prerequisite: MATH 335 (may be taken concurrently). Sp, F
434 Advanced Differential Equations-3 hours. Solutions to non-linear and partial differential equations with an emphasis on numerical methods and techniques utilizing orthogonal functions. Prerequisite: MATH 433.
436 Intermediate Statistics and Quality-3 hours. This course will include topics such as multiple regression, regressor significance tests, variable selection methods model adequacy and complications caused by multicollinearity. Additional topics will be Analysis of Variance (ANOVA), statistical quality control and nonparametric statistical methods. This course will not satisfy one of the upper-level math electives. Prerequisites: MATH 438 and MATH 441 or ENGR 436. This course is cross-listed with ENGR 436.
437 Numerical Analysis-3 hours. (Dual listed as CS 437) A survey of current methods in numerical analysis. Topics will include: polynomial approximation and interpolation, numerical differentiation and integration, numerical solution of differential equations, functional approximation, solution of linear and nonlinear equations, and matrix methods for inverse and eigenvalue problems. Prerequisites: MATH 335.
438 Theory of Probability-3 hours. Probability theory as applied to mathematical models of random events, independent and dependent events, numerical-valued events, mean and variance of a probability law, normal and Poison probability laws, and random variables. Prerequisite: MATH 335. F
441 Mathematical Statistics-3 hours. Basic empirical and theoretical frequency distributions, analysis of variance, elementary sampling theory, hypothesis testing, confidence intervals, statistical inference, correlation, and regression. Prerequisite: MATH 438. Sp
475 Regression and Time Series-3 hours. This course is an introduction to regression and time series. Topics related to regression include simple and multiple regression, hypothesis testing, confidence and prediction intervals, model building and diagnostic checking. Topics related to time series include non-seasonal and seasonal time series, autocorrelation, Box-Jenkins models, parameter estimation, diagnostic checking and forecasting. Prerequisite: MATH 438 or consent of instructor.
492 History of Mathematics-3 hours. An examination of the historical development of the main concepts, techniques and areas of mathematics along with the originating cultures and key personalities. The course may be taken during the professional semester. Prerequisite: MATH 412. Sp
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