MASTER OF NATURAL SCIENCE DEGREE
MATHEMATICS EMPHASIS

The Department of Mathematics Graduate Course Listing and the list of Graduate Faculty follows.  For more information on the Master of Natural Science Program contact the Department of Mathematics (573)651-2164 or  Graduate Studies   (573)651-2192.

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Graduate Course Listing
Click here for a schedule of when graduate courses are offered.

MA523. Probability and Statistics I. An introduction to the theory of probability and statistics using the tools of calculus. Algebra of probability, random variables, discrete and continuous variables. Prerequisite: MA240. (3)

MA524. Probability and Statistics II. A continuation of MA523 with emphasis on applications. Sampling, estimation, hypothesis testing, regression, experimental design, non-parametric methods. Prerequisite: MA523. (3)

MA540. Projective Geometry. Non-Euclidean geometrics, study of projective geometry, interrelationship of projective geometry to other geometries. Prerequisite: MA340 or consent of instructor. (3)

MA544. Numerical Analysis. Finite differences, numerical differentiation and integration, numerical solution of equations and differential equations, with special reference to high speed computers. Prerequisites: MA240, MA334, (3)

MA545. Linear Algebra and Matrices. Vector spaces, linear transformations, matrices, characteristic values, characteristic vectors, and applications. Prerequisite: MA445. (3)

MA546. Advanced Calculus I. Elementary set theory and topology, sequences and series, continuous and differentiable functions on Euclidean n-space. Prerequisite: MA240. (3)

MA547. Advanced Calculus II. Convergence of series of functions, Implicit Function Theorem, integration. Prerequisite: MA 546. (3)

MA550. Differential Equations II. Theory and techniques of solving the order linear differential equations, nonlinear differential equations, partial differential equations, and boundary value problems, Prerequisite: MA350. (3)

MA560. Research Methods of Mathematics. An overview of research methods. Practice in the methods for the formulation and solution of problems. Prerequisite: MA240 or MA445. (3)

MA580. Experimental Design and Analysis of Variance. completely randomized design and analysis, randomized block design and analysis, factorial experiments, split-plot design and analysis, repeated measurement experiments and analysis, analysis of covariance. Prerequisites: MA223 (Elementary Probability and Statistics) or consent of instructor. (3)

MA623. Statistical Analysis for Forensic Science. Introduction to the statistical analysis of genetic data used in forensic science. Basic probability distributions used in analyzing genetic data will be discussed. Emphasis will be placed on estimation and statistical inferential procedures in forensic science. Prerequisite: MA140 or consent of instructor. (3)  

MA630. Basic Concepts of Modern Mathematics. An introduction to logic and sets, algebraic systems, and elementary concepts in geometry. Designed for elementary school teachers. (3)

MA632. Foundations of Geometry. Historical development of the postulational approach to geometry, coordination of affine and projective plans and metric, postulates for Euclidean, hyperbolic, and elliptic planes. (3)

MA633. Differential Geometry. Basic properties of curves and surfaces in three dimensional space, arc length, curvature, torsion. Frent-Seret formulas, surface normal, tangent plane, fundamental forms of surface theory. Prerequisite: MA 240. (3)

MA635. Introductory Point Set Topology. An introduction to the theory of sets of points, providing a foundation for further study in analysis. Prerequisite: MA240. (3)

MA638. History of Mathematics. A historical account of mathematics from the time of Newton and Lebniz to its twentieth century developments. (3)

MA640. Seminar in Contemporary School Mathematics. A survey of the major new curricula in mathematics for secondary school. (3)

MA643. Number Theory. A study of prime numbers, congruences, quadratic residues, and numerical functions. (3)

MA645. Algebra. A study of the basic algebraic (number) systems including groups, rings, modules, and categories. Prerequisites: MA445 and either MA345 or MA545 or consent of instructor. (3)

MA646. Modern Real Analysis. A study of sets, metric spaces, the Lebesque integral, Hilbert space. Prerequisite: MA546 or the equivalent. (3)

MA647. Complex Analysis. Complex numbers, analytic function, integrals, power series, residues and poles, and conformal mapping. Prerequisites: MA240. (3)

MA648. Independent Study in Mathematics. Study of topics in specialized area not covered by regular course offerings. (1)

MA649. Independent Study in Mathematics. (2)

MA650. Independent Study in Mathematics. (3)

MA694. Thesis. A written report based upon investigation of some subject or the completion of a creative project.  See Thesis Plan for additional information. (3)

MA695. Thesis. Second semester. (3)

MA696. Thesis. Second semester. (2)

MA697. Thesis. Second semester. (1)

Department of Mathematics - Graduate Faculty

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