MATH SI1210. Calculus I (4) Su, F, S Limits, continuity, differentiation, integration. Prerequisite: MATH QL1050 and 1060 or MATH QL1080 or placement test. Co-requisite: The ability to use a computer algebra system. MATH SI1220. Calculus II (4) Su, F, S Transcendental functions, techniques of integration, analytic geometry, infinite series. Prerequisite: MATH SI 1210. Co-requisite: The ability to use a computer algebra system. MATH 1630. Discrete Mathematics Applied to Computing (4) An overview of the fundamentals of algorithmic, discrete mathematics applied to computation using a contemporary programming language. Topics include logic, proofs, sets, functions, counting, relations, graphs, trees, Boolean algebra, and models of computation. This course includes programming. Prerequisites: MATH QL1050 or MATH QL1080, and CS SI1400 or ability to program in a contemporary computer language and the consent of the instructor. MATH 2010. Mathematics for Elementary Teachers I (3) Su, F, S Prospective elementary school teachers revisit mathematics topics from the elementary school curriculum and examine them from an advanced perspective including arithmetic, number theory, set theory and problem solving. Prerequisite: MATH QL1050. MATH 2020. Mathematics for Elementary Teachers II (3) Su, F, S Prospective elementary school teachers revisit mathematics topics from the elementary school curriculum and examine them from an advanced perspective including probability, statistics, geometry and measurement. Prerequisites: MATH QL1050 and MATH 2010. MATH 2110. Foundations of Algebra (3) F, S An introduction to Abstract Algebra, Number Theory and Logic with an emphasis on problem solving and proof writing. Prerequisite: MATH SI1210. MATH 2120. Euclidean Geometry (3) F Exploration of Euclidean geometry, from basic concepts to advanced theorems. Prerequisite: MATH SI 1210 or consent of instructor. MATH 2210. Calculus III (4) 5m, F, S Vector algebra, vector valued functions, multivariable functions, partial derivatives, multiple integrals, line integrals, integration in vector fields. Prerequisite: MATH SI1220. MATH 2250. 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: MATH SI 1220. MATH 2270. Elementary Linear Algebra (3) 5m, F, 5 Systems of linear equations, matrices, vector spaces, eigenvalues linear transformations, orthogonality. Prerequisite: MATH SI 1220. MATH 2280. Ordinary Differential Equations (3) F, 5 Methods of solution for ordinary differential equations. Exact equations, linear equations Laplace Transforms, series solutions. Prerequisite: MATH SI1220. MATH 2410. Foundations of Probability and Statistics (3) 5 An introduction to probability and statistics with special emphasis on concepts in the K-12 school curriculum. Prerequisite: MATH SI1210 or MATH QL1050 and consent of instructor. 341 I MATH 2920. 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. MATH 3050. History of Mathematics (3) F A survey of the history of mathematics and its impact on world culture with emphasis on mathematical motivations, original methods and applications. Prerequisite: MATH SI 1220. MATH 3120. Foundations of Euclidean and Non-Euclidean Geometry (3) 5 Axiomatic development of geometry; Euclidean and non-Euclidean. Prerequisites: MATH SI1220 and MATH 2120. MATH 3160. Number Theory (3) 5 An overview of beginning number theory including the integers, modulo arithmetic, congruencies, Fermat's theorem and Euler's theorem. Prerequisite: MATH SI1210. MATH 3350. Linear Algebra (3) F or S (alternate years) Theory and applications of linear algebra including abstract vector spaces and canonical forms of matrices. Prerequisite: MATH 2270. MATH 3410, 3420. Probability and Statistics (3-3) F, 5 Introductory probability theory and mathematical statistics, including applications. Prerequisite for MATH 3410: MATH SI1220. Prerequisites for MATH 3420: MATH 2210 and 3410. MATH 3550. Introduction to Mathematical Modeling (3) F or S (alternate years) Formulation, solution and interpretation of mathematical models for problems occurring in areas of physical, biological and social science. Prerequisite: MATH 2210, MATH 2270 or 2280, or consent from instructor. MATH 3610. Graph Theory (3) F (alternate years) Principles of Graph Theory including methods and models, special types of graphs, paths and circuits, coloring, networks, and other applications. Prerequisite: MATH SI 1210. MATH 3620. Enumeration (3) 5 (alternate years) Principles of Enumeration including counting principles, generating functions, recurrence relations, inclusion-exclusion, and applications. Prerequisite: MATH SI1210. MATH 3710. Boundary Value Problems (3) F Fourier series and the method of separation of variables. Heat, wave, and potential equations, Stuim-Liouville problems, orthogonal functions, special functions. Prerequisites: MATH 2210 and MATH 2280. MATH 3730. Partial Differential Equations (3) 5 (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) 5 (alternate years) 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 (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. General PROFILE ENROLLMENT STUDENT AFFAIRS ACADEMIC INFO DEGREE REQ GENED Engaged Learning 8 Interdisciplinary OUR/CBL HNRS BIS LIBS INTRD MINORS Applied Science 8 Technology AUSV/ATTC CEET CS MFET/ETM MET CMT DGET ENGR IDT SST TBE Arts 8 Humanities MENG COMM ENGL FL DANC MUSC THEA ART/ARTH Business 8 Econ MBA MACC/ACTG BSAD FIN MGMT MKTG SCM ECON/QUAN 1ST Education MSAT/MED CHF AT/HLTH NUTR/PEP/REC HPHP COURSES ATHL/PE EDUC Heaifh Professions MHA/MSN MSRS CLS DENT PAR HTHS HAS/HIM NRSG RADT DMS/NUCM RATH REST Science BTNY CHEM GEO MATH/MTHE MICR PHYS/ASTR ZOOL Social* Behavioral Sciences MCJ/CJ ECON GEOG HIST POLS/PHIL PSY SW/GERT SOC/ANTH MILS NAVS Continuing Ed Davis Campus Weber State University 2010-2011 Catalog