304 an advanced perspective induding arithmetic, number theory, set theory and problem solving. Prerequisite: MATH QL1050. MATH 2020. Mathematics for Elementary Teachers II (3) 5m, F, 5 Prospective elementary school teachers revisit mathematics topics from the elementary school curriculum and examine them from an advanced perspective induding probability, statistics, geometry and measurement. Prerequisites: MATH QL1050 and MATH 2010. MATH 2110. Foundations of Algebra (3) An introduction to Abstract Algebra, Number Theory and Logic with an emphasis on problem solving and proof writing. Prerequisite: MATH SI 1210. MATH 2210. Calculus III (4) 5m, F, 5 Vector algebra, vedor valued functions, multivariable functions, partial derivatives, multiple integrals, line integrals, integration in vector fields. Prerequisite: MATH SI1220. MATH 2250. Linear Algebra and Differential Equations (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: MATH SI 1220. MATH 2270. Elementary Linear Algebra (3) F, 5 Systems of linear equations, matrices, vector spaces, eigenvalues linear transformations, orthogonality. Prerequisite: MATH SI 1220. MATH 2280. Ordinary Differential Equations (3) F, 5 Methods of solution for ordinary differential equations. Exact equations, linear equations Laplace Transforms, series solutions. Prerequisite: MATH SI1220. MATH 2410. Foundations of Probability and Statistics (3) An introduction to probability and statistics with spedal emphasis on concepts in the K-12 school curriculum. Prerequisite: MATH SI1210 or MATH QL1050 and consent of instructor. MATH 2920. Short Courses, Workshops, Institutes and Special Programs (1-4) Consult the semester class schedule for the current offering under this number. The specific title and credit authorized will appear on the student transcript. MATH 3050. History of Mathematics (3) A survey of the history of mathematics and its impact on world culture with emphasis on mathematical motivations, original methods and applications. Prerequisite: MATH SI 1220. MATH 3120. Euclidean and Non-Euclidean Geometry (3) F Axiomatic development of geometry; Euclidean and non-Euclidean. Prerequisite: MATH SI 1220 and either passing a placement exam or MATH 1020. MATH 3160. Number Theory (3) 5 An overview of beginning number theory including the integers, modulo arithmetic, congruencies, Fermat's theorem and Euler's theorem. Prerequisite: MATH SI1210. MATH 3350. Linear Algebra (3) F or 5 Theory and applications of linear algebra induding abstract vector spaces and canonical forms of matrices. Prerequisite: MATH 2270. MATH 3410, 3420. Probability and Statistics (3-3) F, 5 Introductory probability theory and mathematical statistics, including applications. Prerequisite for MATH 3410: MATH SI1220. Prerequisites for MATH 3420: MATH 2210 and 3410. MATH 3550. Introduction to Mathematical Modeling (3) F or S Formulation, solution and interpretation of mathematical models for problems occurring in areas of physical, biological and sodal science. Prerequisite: MATH 2210, MATH 2270 or 2280, or consent from instructor. MATH 3610. Graph Theory (3) F Prindples of Graph Theory including methods and models, special types of graphs, paths and circuits, coloring, networks, and other applications. Prerequisite: MATH SI 1210. MATH 3620. Enumeration (3) 5 Prindples of Enumeration including counting principles, generating functions, recurrence relations, inclusion-exdusion, and applications. Prerequisite: MATH SI1210. MATH 3710. Boundary Value Problems (3) F Fourier series and the method of separation of variables. Heat, wave, and potential equations, Sturm-Liouville problems, orthogonal functions, spedal functions. Prerequisites: MATH 2210 and MATH 2280. MATH 3730. Partial Differential Equations (3) 5 (alternate years) Partial differential equations. First and second order equations, characteristics and classifications, methods of solution, applications. Prerequisite: MATH 3710. MATH 3750. Dynamical Systems (3) 5 (alternate years) Linear and nonlinear systems of differential equations, qualitative behavior and stability of solutions, applications. Prerequisite: MATH 2270 and MATH 2280. MATH 3810. Complex Variables (3) F or 5 or Su Analysis and applications of a fundion of a single complex variable. Analytic fundion theory, path integration, Taylor and Laurent series and elementary conformal mapping are studied. Prerequisite: MATH 2210. MATH 4110. Modern Algebra I (3) F Logic, sets, and the study of algebraic systems including groups, rings, and fields. Prerequisite: MATH 2270. MATH 4120. Modern Algebra II (3) 5 Continuation of MATH 4110: advanced topics from groups, rings, and fields including the Sylow theorems and Galois theory. Prerequisite: MATH 4110. MATH 4210, 4220. Introductory Real Analysis (3-3) F, 5 Develop the analysis underlying calculus. In-depth study of limits, continuity, integration, differentiation, sequences and series. Other topics may indude Lebesgue measure and integration and Fourier Analysis. Prerequisite: MATH 2210 and 2270 for 4210; MATH 4210 for 4220. MATH 4320. Topology (3) F or 5 Introduction to point-set topology, induding metric and topological spaces, continuity, homeomorphisms, compact and connected spaces, and complete metric spaces. Other topics may indude the Baire Category Theorem and Tietze Extension Theorem. Prerequisite: MATH 2210 and 2270. MATH 4610, 4620. Numerical Analysis (3-3) F, 5 Introduction to numerical methods. Use of the digital computer in solving otherwise intractable problems. Prerequisite: MATH 2270 and an ability to use a programming language; MATH 4610 for 4620. Weber State University 2007 - 2008 Catalog