332 MATH 2270. Elementary Linear Algebra (3) 5m, 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) 5 An introduction to probability and statistics with special 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) F 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. Foundations of Euclidean and Non-Euclidean Geometry (3) 5 Axiomatic development of geometry; Euclidean and non-Euclidean. MATH SI1220, and either MATH 2120 or consent of instructor. 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 S (alternate years) Theory and applications of linear algebra including 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 Mod elm g (3) F or S (alternate years) Formulation, solution and interpretation of mathematical models for problems occurring in areas of physical, biological and social science. Prerequisite: MATH 2210, MATH 2270 or 2280, or consent from instructor. MATH 3610. Graph Theory (3) F (alternate years) Principles 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 (alternate years) Principles of Enumeration including counting principles, generating functions, recurrence relations, inclusion-exclusion, 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, special 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 S (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 (3) F (alternate years) Logic, sets, and the study of algebraic systems including groups, rings, and fields. Prerequisite: MATH 2270. MATH 4120. Modern Algebra II (3) 5 (alternate years) 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 (4220 alternate years) 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 2270 for 4210; MATH 4210 for 4220. MATH 4320. Topology (3) F or S (alternate years) 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 2270. MATH 4610, 4620. Numerical Analysis (3-3) F, 5 (alternate years) 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. MATH 4750. Topics in Mathematics (2-4) This course will vary with the demand and may be taken more than once for a maximum of 8 credit hours. Prerequisite: Consent of the instructor. MATH 4910. Senior Research Project (3) Mathematical research project for seniors. Students may not register for this course the last semester before they intend to graduate. Prerequisite: Instructor approval. MATH 4920. 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. Weber State University 2009 - 2010 Catalog