343 I 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. MTHE 6710, 6720. Numerical Analysis (3-3) Introduction to numerical methods. Use of the digital computer in solving otherwise intractable problems. Prerequisite: MTHE 5350 and CS SI1410 or other approved programming language; MTHE 6710 for 6720. MTHE 6730. Partial Differential Equations (3) First order equations, characteristics and classifications, Green's identities, models, transforms. Prerequisite: MTHE i DEPARTMENT Microbiology Chain Dr. Craig Oberg Location: Science Lab, Room 302M Telephone: Carrie Minnoch 801-626-6949 Professors: William Lorowitz, Karen Nakaoka, Craig Oberg, Mohammad Sondossi; Assistant Professors: Matthew Domek, Michele Zwolinski Microbiology is the study of microorganisms (bacteria, viruses, algae, fungi, and protozoa) including their structure, metabolism, distribution, and ecological relationships. Knowledge gained by microbiologists leads to a better understanding of molecular-level life processes and to beneficial applications in agriculture, industry, and medicine. The field is expanding, with special emphasis being given to genetic engineering, biotechnology, cell culture, disease and the immune response, production and storage of food, research and development and quality assurance of industrial products, disposal and detoxification of wastes, and the monitoring of environmental quality. Microbiology Major bachelors degree (bs) » Program Prerequisite: Not required. » Minor: Required support courses for the major also satisfy a minor in Chemistry. » Grade Requirements: An overall GPA of 2.00 or higher in microbiology courses required for this major in addition to an overall GPA of 2.00 or higher. » Credit Hour Requirements: A total of 120 credit hours is required for graduation - a minimum of 71 of these is required within the major. A total of 40 upper division credit hours is required (courses numbered 3000 and above). Advisement All Microbiology students are encouraged to meet with a faculty advisor at least annually for course and program advisement. Call 801-626-6949 for more information or to schedule an appointment. 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 & Humanities MENG COMM ENGL FL MUSC THEA ART/ARTH Business & 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 8 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