MTHE SI3080. Number Theory for Elementary Teachers (3) 5 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 I (3) 5 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. Prerequisites: MATH 2110 and MATH 3120. MTHE 4020. Capstone Mathematics for High School Teachers II (3) 5 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. MTHE SI4040. Mathematical Problem Solving for Elementary Teachers (3) 5 Mathematical problem solving, discussion of process, writing solutions, and writing extensions. Prerequisite: MATH 2010 and MATH 2020. MTHE SI4100. Intuitive Calculus for Elementary Teachers (3) F Prerequisite: MATH 2010 and MATH 2020. MTHE 4700. Senior Project in Elementary Mathematics Teaching (3) F, S Projects in preparing, teaching and revising sequential mathematics lessons for elementary students. Prerequisite: MATH 2010 and MATH 2020. MTHE 5010. Methods and Technology for Teaching Secondary Mathematics (3) Topics in secondary mathematics are taught to in-service teachers using a variety of methods and technology to make them better prepared for teaching secondary mathematics. Expository presentations about a current mathematics education research area are expected. MTHE 5210. Calculus with Analytic Geometry (4) Analytic geometry, differentiation, integration, and applications. Prerequisite: MATH QL1050 and 1060 or MATH QL1080 or placement test. MTHE 5220. Calculus with Analytic Geometry (4) Transcendental functions, techniques of integration, conic sections, polar coordinates, infinite series, introduction to partial derivatives. Prerequisite: MTHE 5210. MTHE 5230. Mathematics Computer Laboratory (1) Computer solution of mathematics problems. May be taken concurrently with any lower division mathematics course. Prerequisite: Approval of instructor. MTHE 5310. Multivariable and Vector Calculus (4) Vectors, vector valued functions, motion in space, multivariable functions, partial derivatives, multiple integrals, integration in vector fields. Prerequisite: MTHE 5220. MTHE 5350. Linear Algebra and Differential Equations (4) Introduction to Linear Algebra and Differential Equations. Systems of linear equations, matrices, vector spaces, eigenvalues. First and second order differential equations and models, higher order linear equations, linear systems. Prerequisite: MTHE 5220. MTHE 6120. Euclidean and Non-Euclidean Geometry (3) Axiomatic development of geometry; Euclidean and non-Euclidean. Prerequisite: MTHE 5220. MTHE 6160. Number Theory (3) An overview of beginning number theory including the integers, modulo arithmetic, congruencies, Fermat's theorem and Euler's theorem. Prerequisite: MTHE 5210. MTHE 6350. Linear Algebra (3) Theory and applications of linear algebra including abstract vector spaces and canonical forms of matrices. Prerequisite: MTHE 5350. MTHE 6410, 6420. Probability and Statistics (3-3) The mathematical content of probability and statistics at the undergraduate post calculus level. An understanding of the application of probability and statistics is also stressed. Co-requisite: MTHE 5310 or prerequisite of MTHE 5220 and consent of instructor. Further prerequisites: MTHE 6410 for 6420. MTHE 6550. Introduction to Mathematical Modeling (3) Formulation, solution and interpretation of mathematical models for problems occurring in areas of physical, biological and social science. Prerequisite: MTHE 5310 and 5350. MTHE 6610. Graph Theory (3) Principles of Graph Theory including methods and models, special types of graphs, paths and circuits, coloring, networks, and other applications. Prerequisite: MTHE 5210. MTHE 6620. Enumeration (3) Principles of Enumeration including counting principles, generating functions, recurrence relations, inclusion-exclusion, and applications. Prerequisite: MTHE 5210. MTHE 6630. Boundary Value Problems (3) Series solutions, Fourier series, separation of variables, orthogonal functions. Prerequisite: MTHE 5350. MTHE 6640. Differential Equations II (3) Matrix approach to linear systems, nonlinear systems, Laplace transforms. Prerequisite: MTHE 5350. MTHE 6650. Complex Variables (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 5350. MTHE 6660. Modern Algebra I (3) Logic, sets, and the study of algebraic systems including groups, rings, and fields. Prerequisite: MTHE 5350. MTHE 6670. Modern Algebra II (3) Continuation of MATH 4110: advanced topics from groups, rings, and fields including the Sylow theorems and Galois theory. Prerequisite: MTHE i MTHE 6680, 6690. Introductory Real Analysis (3-3) 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 5350 for 6680; MTHE 6680 for' MTHE 6700. Topology (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 5350. Weber State University 2006 - 2007 Catalog