Course Descriptions 467 MATH 2280 - Ordinary Differential Equations (3) F, Sp Methods of solution for ordinary differential equations. Exact equations, linear equations Laplace Transforms, series solutions. Prerequisite: MATH 1220. MATH 2410 - Foundations of Probability and Statistics (3) An introduction to probability and statistics with special emphasis on concepts in the K-12 school curriculum. Prerequisite: MATH 1210 or MATH 1050 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 1220. MATH 3110 - Foundations of Algebra (3) Sp An introduction to Abstract Algebra, Number Theory and Logic with an emphasis on problem solving and proof writing. Prerequisite: MATH 1210. MATH 3120 - Foundations of Euclidean and Non-Euclidean Geometry (3) Sp Axiomatic development of geometry; Euclidean and non- Euclidean. Prerequisite: MATH 1220 and MATH 2120. MATH 3160 - Number Theory (3) Sp An overview of beginning number theory including the integers, modulo arithmetic, congruencies, Fermat's theorem and Euler's theorem. Prerequisite: MATH 1210. MATH 3270 - Linear Algebra (3) F or Sp (alternate years) Theory and applications of linear algebra including abstract vector spaces and canonical forms of matrices. Prerequisite: MATH 2270. MATH 3280 - Dynamical Systems (3) Sp (alternate years) Linear and nonlinear systems of differential equations, qualitative behavior and stability of solutions, applications. Prerequisite: MATH 2270 and MATH 2280. MATH 3410 - Probability and Statistics I (3) F, Sp Introductory probability theory and mathematical statistics, including applications. Prerequisite: MATH 1220. MATH 3420 - Probability and Statistics II (3) F, Sp 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 (3) F or Sp (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 MATH 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 1210. MATH 3620 - Enumeration (3) Sp (alternate years) Principles of Enumeration including counting principles, generating functions, recurrence relations, inclusion-exclusion, and applications. Prerequisite: MATH 1210. 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. Prerequisite: MATH 2210 and MATH 2280. MATH 3810 - Complex Variables (3) 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 (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) Sp (alternate years) 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 (3) F 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 (3) Sp (alternate years) 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 (3) F or Sp (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 MATH 2270. MATH 4610 - Numerical Analysis I (3) F (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 4620 - Numerical Analysis II (3) Sp (alternate years) A continuation of MATH 4610-Introduction to numerical methods. Use of the digital computer in solving otherwise intractable problems. Prerequisite: MATH 4610 Weber State University 2012-2013 Catalog