College of Science 575 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 1210 . 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 4210-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 MATH 4620 - Numerical Analysis II Credits: (3) Typically taught: Spring [Full Sem] A continuation of MATH 4610-Introduction to numerical methods. Use of the digital computer in solving otherwise intractable problems. Prerequisite: MATH 4610 MATH 4710 - Partial Differential Equations Credits: (3) Typically taught: Spring [Full Sem] Partial differential equations. First and second order equations, characteristics and classifications, methods of solution, applications. Prerequisite: MATH 3710 . MATH 4750 - Topics in Mathematics Credits: (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 Credits: (3) Mathematical research proj ect 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 Credits: (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 2013-2014 Catalog