College of Science 597 MATH 3420 - Probability and Statistics II Credits: (3) Typically taught: Spring [Full Sem] A continuation of MATH 3410-Introductory probability theory and mathematical statistics, including applications. Prerequisite: MATH 2210 and MATH 3410. MATH 3550 - Introduction to Mathematical Modeling Credits: (3) Typically taught: Fall [Full Sem] Formulation, solution and interpretation of mathematical models for problems occurring in areas of physical, biological and social science. Prerequisite: MATH 1200, MATH 1220, and Co-requisite MATH 2270 or MATH 2280. MATH 3610 - Graph Theory Credits: (3) Typically taught: Fall [Full Sem] Principles of Graph Theory including methods and models, special types of graphs, paths and circuits, coloring, networks, and other applications. Prerequisite: MATH 1220. MATH 3620 - Enumeration Credits: (3) Typically taught: Spring [Full Sem] Principles of Enumeration including counting principles, generating functions, recurrence relations, inclusion- exclusion, and applications. Prerequisite: MATH 1220. MATH 3710 - Boundary Value Problems Credits: (3) Typically taught: Fall [Full Sem] Fourier series and the method of separation of variables. Heat, wave, and potential equations, Sturm-Liouville problems, orthogonal functions, special functions. Prerequisite: MATH 2210 and MATH 2280. MATH 3810 - Complex Variables Credits: (3) Typically taught: F or Sp (alternate years) 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: MATH 2210. MATH 4110 - Modern Algebra I Credits: (3) Typically taught: Fall [Full Sem] Logic, sets, and the study of algebraic systems including groups, rings, and fields. Prerequisite: MATH 2270. MATH 4120 - Modern Algebra II Credits: (3) Typically taught: Spring [Full Sem] A continuation of MATH 4110: advanced topics from groups, rings, and fields including the Sylow theorems and Galois theory. Prerequisite: MATH 4110. MATH 4210 - Introductory Real Analysis I Credits: (3) Typically taught: Fall [Full Sem] 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: MATH 2210 and MATH 2270 MATH 4220 - Introductory Real Analysis II Credits: (3) Typically taught: Spring [Full Sem] A continuation of MATH 4 210-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: MATH 4210 MATH 4320 - Topology Credits: (3) Typically taught: Spring [Full Sem] Introduction to point-set topology, including metric and topological spaces, continuity, homeomorphisms, compact and connected spaces, and complete metric spaces. Other topics may include the Baire Category Theorem and Tietze Extension Theorem. Prerequisite: MATH 2210 and MATH 2270. MATH 4610 - Numerical Analysis I Credits: (3) Typically taught: Fall [Full Sem] 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 Weber State University 2015-2016 Catalog