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) S (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) S (alternateyears) 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 or Su 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 Logic, sets, and the study of algebraic systems including groups, rings, and fields. Prerequisite: Math 2270. Math 4120. Modern Algebra II (3) S 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, S 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 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, S Introduction to numerical methods. Use of the digital computer in solving otherwise intractable problems. Prerequisite: Math 2270 and CS SI 1220 or other approved programming language; Math 4610 or 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. MATHEMATICS EDUCATION COURSES MATHED Courses numbered above 5000 are restricted to in-service teachers and credit should not be given for students who have received credit for the corresponding undergraduate course. MathEd 2310. Mathematics for Elementary Teachers (3) F, S Geometry, sets, logic, problem solving. Prerequisite: Math QL1050. MathEd 2320. Mathematics for Elementary Teachers (3) F, S Properties of whole numbers, integers, rational numbers, and real numbers; number theory; probability and statistics. Prerequisites: Math QL1050 and MathEd 2310. MathEd 3010. Methods and Technology for Teaching Intermediate Secondary Mathematics (3) F Basic topics in intermediate mathematics are taught to prospective teachers using a variety of methods of presentation and assessment that have special application to the intermediate Math classroom. Prerequisite: MathSI1220. MathEd 3020. Methods and Technology for Teaching Advanced Secondary Mathematics (3) S 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: MathEd 3010. MathEd SI3060. Probability and Statistics for Elementary Teachers (3) F Basic Probability and statistics with an emphasis on topics and methods pertinent to prospective elementary school teachers. Prerequisite: MathEd 2310 and 2320. MathEd SI3070. Geometry for Elementary Teachers (3) F Basic Geometry with an emphasis on the topics and methods pertinent to prospective elementary school teachers. Prerequisite: MathEd 2310 and 2320. MathEd SI3080. Number Theory for Elementary Teachers (3) S Survey of elementary number theory concepts with applications to topics of interest plus teaching suggestions. Prerequisite: MathEd 2310 and 2320. MathEd SI4040. Mathematical Problem Solving for Elementary Teachers (3) S Mathematical problem solving, discussion of process, writing solutions, and writing extensions. Prerequisite: MathEd 2310 and 2320. MathEd SI4100. Intuitive Calculus for Elementary Teachers (3) F Prerequisite: MathEd 2310 and 2320. MathEd 4700. Senior Project in Elementary Mathematics Teaching (3) F, S Projects in preparing, teaching and revising sequential mathematics lessons for elementary students. Prerequisite: MathEd 2310 and 2320. WEBER STATE UNIVERSITY 2004-2005 CATALOG