598 College of Science MTHE 6620 - Enumeration Credits: (3) Principles of Enumeration including counting principles, generating functions, recurrence relations, inclusion- exclusion, and applications. Prerequisite: MTHE 5210. MTHE 6630 - Boundary Value Problems Credits: (3) Series solutions, Fourier series, separation of variables, orthogonal functions. Prerequisite: MTHE 5350. MTHE 6640 - Differential Equations II Credits: (3) Matrix approach to linear systems, nonlinear systems, Laplace transforms. Prerequisite: MTHE 5350. MTHE 6650 - Complex Variables Credits: (3) 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: MTHE 5310 and MTHE 5350 . MTHE 6660 - Modern Algebra I Credits: (3) Logic, sets, and the study of algebraic systems including groups, rings, and fields. Prerequisite: MTHE 5350 . MTHE 6670 - Modern Algebra II Credits: (3) Continuation of MATH 4110 : advanced topics from groups, rings, and fields including the Sylow theorems and Galois theory. Prerequisite: MTHE 6660 . MTHE 6680 - Introductory Real Analysis Credits: (3) 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: MTHE 5310 and MTHE 5350 . MTHE 6690 - Introductory Real Analysis Credits: (3) 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: MTHE 6680. MTHE 6700 - Topology Credits: (3) 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: MTHE 5310 and MTHE 5350. MTHE 6710 - Numerical Analysis Credits: (3) Introduction to numerical methods. Use of the digital computer in solving otherwise intractable problems. Prerequisite: MTHE 5350 and CS 1410 or other approved programming language MTHE 6720 - Numerical Analysis Credits: (3) Introduction to numerical methods. Use of the digital computer in solving otherwise intractable problems. Prerequisite: MTHE 6710 MTHE 6730 - Partial Differential Equations Credits: (3) First order equations, characteristics and classifications, Green's identities, models, transforms. Prerequisite: MTHE 6630. MTHE 6740 - Mathematics for Teaching - Numbers and Operations Credits: (3) Provides teachers a deeper understanding of our number system and relate its structure to computation, arithmetic, algebra and problem solving. Course topics will include number, number sense, computation, and estimation and instructional strategies to facilitate the instruction of this content for elementary teachers. Prerequisite: A Bachelor's degree and at least one year of experience teaching elementary or junior high school mathematics. MTHE 6750 - Mathematics for Teaching - Rational Numbers and Proportional Reasoning Credits: (3) Provides practicing teachers a deeper understanding of rational numbers, operations with rational numbers, and proportionality, and instructional strategies to facilitate the instruction of this content for elementary students. Prerequisite: A Bachelor's Degree and at least one year of teaching experience in an elementary or junior high school. MTHE 6760 - Mathematics for Teaching - Algebraic Reasoning Credits: (3) Provides practicing teachers a deeper understanding of algebraic expressions, equations, functions, real numbers, and instructional strategies to facilitate the instruction of this content for elementary students. Prerequisite: A Bachelor's Degree and at least one year of teaching experience in an elementary or junior high school. MTHE 6770 - Mathematics for Teaching - Geometry and Measurement Credits: (3) Provides practicing teachers a deeper understanding of the geometry and measurement content that exists in the state core and instructional strategies to facilitate the instruction of this content. Prerequisite: A Bachelor's Degree and at least one year of teaching experience in an elementary or junior high school. Weber State University 2014-2015 Catalog