356 MATH 3410, 3420. Probability and Statistics (3-3) F, Sp Introductory probability theory and mathematical statistics, including applications. Prerequisite for MATH 3410: MATH 1220. Prerequisites for MATH 3420: MATH 2210 and 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 sodal science. Prerequisite: MATH 2210, MATH 2270 or 2280, or consent from instructor. MATH 3610. Graph Theory (3) F (alternate years) Prindples 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) Prindples of Enumeration including counting prindples, generating functions, recurrence relations, inclusion-exdusion, 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 fundions, spedal functions. Prerequisites: MATH 2210 and MATH 2280. MATH 3810. Complex Variables (3) F or Sp (alternate years) 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 (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) 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, Sp (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 Sp (alternate years) Introduction to point-set topology, including metric and topological spaces, continuity, homeomorphisms, compact and conneded 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, Sp (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 4710. Partial Differential Equations (3) Sp (alternate years) Partial differential equations. First and second order equations, characteristics and classifications, methods of solution, applications. Prerequisite: MATH 3710. 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 dass schedule for the current offering under this number. The specific title and credit authorized will appear on the student transcript. MATHEMATICS EDUCATION COURSES - MTHE Courses numbered credit should not 5000 are restricted to in-service teachers and for students who have recdved credit for the course. MTHE 3010. Methods and Technology for Teaching Secondary Mathematics (3) Sp Basic topics in secondary mathematics are taught to prospective teachers using a variety of methods of presentation and up-to-date technology, including the use of graphing calculators and computers. Prerequisite: MATH 1220. MTHE 3020. Methods and Technology for Teaching Advanced Secondary Mathematics (3) Aspects of teaching advanced mathematics in a high school setting, including methods of presentation, exploration, assessment and classroom management. An emphasis is placed on the use of computers, graphing calculators, and other technology. Prerequisite: MTHE 3010. MTHE 3060. Probability and Statistics for Elementary Teachers (3) Sp Basic probability and statistics with an emphasis on topics and methods pertinent to prospedive elementary school teachers. Prerequisite: MATH 2010 and MATH 2020. MTHE 3070. Geometry for Elementary Teachers (3) F Basic Geometry with an emphasis on the topics and methods pertinent to prospective elementary school teachers. Prerequisite: MATH 2010 and MATH 2020. MTHE 3080. Number Theory for Elementary Teachers (3) F Survey of elementary number theory concepts with applications to topics of interest plus teaching suggestions. Prerequisite: MATH 2010 and MATH 2020. MTHE 4010. Capstone Mathematics for High School Teachers (3) F, Sp Prospective high school teachers revisit mathematics topics from the secondary school curriculum and examine them from an advanced perspective. The major emphasis is on topics from algebra and geometry. Prerequisites: MATH 2110 and MATH 3120. MTHE 4020. Capstone Mathematics for High School Teachers II (3) F Prospective high school teachers revisit mathematics topics from the secondary school curriculum and examine them from an advanced perspective. The major emphasis is on topics from geometry. Prerequisite: MTHE 4010. Weber State University 2011 - 2012 Catalog