College of Science 577 MTHE 5230 - Mathematics Computer Laboratory Credits: (l) Computer solution of mathematics problems. Prerequisite: Approval of instructor. May be taken concurrently with any lower division mathematics course. MTHE 5310 - Multivariable and Vector Calculus Credits: (4) Vectors, vector valued functions, motion in space, multivariable functions, partial derivatives, multiple integrals, integration in vector fields. Prerequisite: MTHE 5220 . MTHE 5350 - Linear Algebra and Differential Equations Credits: (4) Introduction to Linear Algebra and Differential Equations. Systems of linear equations, matrices, vector spaces, eigenvalues. First and second order differential equations and models, higher order linear equations, linear systems. Prerequisite: MTHE 5220. MTHE 6120 - Euclidean and Non-Euclidean Geometry Credits: (3) Axiomatic development of geometry; Euclidean and non- Euclidean. Prerequisite: MTHE 5220. MTHE 6160 - Number Theory Credits: (3) An overview of beginning number theory including the integers, modulo arithmetic, congruences, Fermats theorem and Euler's theorem. Prerequisite: MTHE 5210 . MTHE 6350 - Linear Algebra Credits: (3) Theory and applications of linear algebra including abstract vector spaces and canonical forms of matrices. Prerequisite: MTHE 5350. MTHE 6410 - Probability and Statistics Credits: (3) The mathematical content of probability and statistics at the undergraduate post calculus level. An understanding of the application of probability and statistics is also stressed. Co- Requisite: MTHE 5310 or prerequisite of MTHE 5220 and consent of instructor. MTHE 6420 - Probability and Statistics Credits: (3) The mathematical content of probability and statistics at the undergraduate post calculus level. An understanding of the application of probability and statistics is also stressed. Prerequisite: MTHE 6410 MTHE 6550 - Introduction to Mathematical Modeling Credits: (3) Formulation, solution and interpretation of mathematical models for problems occurring in areas of physical, biological and social science. Prerequisite: MTHE 5310 and 5350. MTHE 6610 - Graph Theory Credits: (3) Principles of Graph Theory including methods and models, special types of graphs, paths and circuits, coloring, networks, and other applications. Prerequisite: MTHE 5210. MTHE 6620 - Enumeration Credits: (3) Principles of Enumeration including counting principles, generating functions, recurrence relations, inclusion- exclusion, and applications. Prerequisite: MTHE 5210. MTHE 6630 - Boundary Value Problems Credits: (3) Series solutions, Fourier series, separation of variables, orthogonal functions. Prerequisite: MTHE 5350. MTHE 6640 - Differential Equations II Credits: (3) Matrix approach to linear systems, nonlinear systems, Laplace transforms. Prerequisite: MTHE 5350. MTHE 6650 - Complex Variables Credits: (3) Analysis and applications of a function of a single complex variable. Analytic function theory, path integration, Taylor and Laurent series and elementary conformal mapping are studied. Prerequisite: MTHE 5310 and MTHE 5350 . MTHE 6660 - Modern Algebra I Credits: (3) Logic, sets, and the study of algebraic systems including groups, rings, and fields. Prerequisite: MTHE 5350 . MTHE 6670 - Modern Algebra II Credits: (3) Continuation of MATH 4110 : advanced topics from groups, rings, and fields including the Sylow theorems and Galois theory. Prerequisite: MTHE 6660 . MTHE 6680 - Introductory Real Analysis Credits: (3) Develop the analysis underlying calculus. In-depth study of limits, continuity, integration, differentiation, sequences and series. Other topics may include Lebesgue measure and integration and Fourier Analysis. Prerequisite: MTHE 5310 and MTHE 5350 MTHE 6690 - Introductory Real Analysis Credits: (3) Develop the analysis underlying calculus. In-depth study of limits, continuity, integration, differentiation, sequences and series. Other topics may include Lebesgue measure and integration and Fourier Analysis. Prerequisite: MTHE 6680 MTHE 6700 - Topology Credits: (3) Introduction to point-set topology, including metric and topological spaces, continuity, homeomorphisms, compact and connected spaces, and complete metric spaces. Other Weber State University 2013-2014 Catalog