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2007-2008 Undergraduate Academic Catalog - Plymouth State ...

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perspectives. These perspectives include blendingcoordinate and transformational ideas withconventional synthetic ideas. Ideas involvinggeometric experimentation are enhancedusing technology-based (software and computergraphics) investigations. Students haveto do a written project and an oral presentation.Falls. Prerequisite(s): MA 3110 (may be concurrent).(WRIT)(TECO)(WRCO)MA 3300 Statistics II3 creditsModel building using multiple linear regression.Includes applications to categorical dataand the analysis of variance. Statistical softwareis used extensively. Springs. Prerequisite(s): MA2300 or CJ/MA 2350. (WRIT)(WRCO)MA 3400 Time and Money 3 creditsThe relationships between time and moneyaffect each person. Emphasizes problem solvingusing “real life” situations drawn fromthe fields of banking, commerce, finance andinsurance, while considering the impact ofpublic policy, such as governmental regulation,taxation and retirement planning. Selectedtopics include compound interest, simpleand general annuities, bonds and designing adefined contribution retirement plan. Uses calculatorsand spreadsheets. Required projectsinclude a major paper. Perspectives integrated:QUAN and TECH. Springs. Prerequisite(s):Mathematics Foundations plus completionof the QUAN and TECH Perspectives; juniorstatus. (INTG)MA 3410 Numerical Methods Using theComputer3 creditsSurveys modern computing methods andintroduces students to the potentialities of thecomputer for solving problems in science, technologyand business. Topics include numericaldifferentiation and integration, systemsof linear equations, linear programmingand smoothing of data. Course is especiallydesigned for students in Business, ComputerScience and Physical Science. Fall of odd years.Prerequisite(s): two semesters of Calculus (secondsemester may be concurrent) plus knowledgeof a programming language, e.g., BASICor Pascal or FORTRAN. (WRIT)MA 3460 History of Mathematics 3 creditsA historical background in the areas ofmathematics needed to understand its logicaland sequential nature, its contributionsto the growth of both Eastern and Westerncultures and the development of a global discipline.Spring of even years. Prerequisite(s):two semesters of calculus; either one semesterof university level geometry or MA 3120.(WRIT)(GACO)(WRCO)MA 3500 Probability and Statistics forScientists3 creditsA first course in applied probability and statisticsfor scientists. Emphasizes developingprobability concepts and statistical problemsolving skills useful in an array of scientificdisciplines, as well as providing a foundationfor more advanced study. A standard statistical/mathematicalsoftware package is used.Falls and Springs. Prerequisite(s): MA 2490or MA 2550.MA 3510 Differential Equations 3 creditsBasic concepts, techniques of solution andapplications of ordinary first and second orderdifferential equations and series solutions.Falls. Prerequisite(s): MA 2500 (with consentof instructor) or MA 2560 or MA 3500 (maybe concurrent).MA 3540 Multivariable Calculus 4 creditsThis is the third course in the calculussequence. Topics include three-dimensionalvectors, directional derivatives and the gradient,and multiple integrals. Students maynot receive credit for both MA 3520 and MA3540. Springs. Prerequisite(s): MA 2560 orMA 3500.MA 4020 The Cultural and PsychologicalAspects of MathematicsLearning3 creditsFocuses on the cultural and psychologicalaspects of learning mathematics includingimplications of Piaget’s research, constructivistlearning theories, attitudes, teachingexceptional children, brain research and brainhemispheric specialization, mathematics educationin foreign countries, mathematics anxiety,tracking, contrasting developmentalistsverses behaviorist theories of learning, mathematicsassessment, evaluation and selection ofcurriculum materials. TIMSS results and theirimplications and how culture influences education.Students spend a minimum of 12 hours inschools observing and working with studentsand teachers. Perspectives integrated: GLOB,QUAN, SPSY. Springs. Prerequisite(s): (MA3010 or MA 3110) and one Psychology course(may be concurrent). (INTG)(DICO)(INCO)MA 4030 Mathematics in the Secondaryand Middle School 4 creditsDevelops mathematics teaching methods andstrategies; methods of reading, writing andstudy skills in mathematics; daily, unit andyearly planning strategies; and assessment ofstudent learning. Includes simulated classroomteaching and eight full days of schoolobservation and participation. Designed to befollowed by Student Teaching in Mathematics(ED 4430 or MA 4960 or MA4970) to providestudents with a full semester’s integratedexperience. Falls. Prerequisite(s): (MA 2300 orCJ/MA 2350), a semester of calculus and onePsychology course (may be concurrent).MA 4140 Algebraic Structures 3 creditsDesigned to study the properties of groups,rings, ideals and fields, and develop selectedtopics. Spring of even years. Prerequisite(s):MA 3110 and MA 3120 (may be concurrent).(WRIT)(WRCO)MA 4220 Topics in Mathematics 3 creditsA topic, such as Topology, Number Theory,Complex Variables, etc., is studied for an entiresemester. Course may be repeated for credit,provided a different topic is studied. Spring ofodd years. Prerequisite(s): variable, dependingon topic selected; consult course instructor.MA 4310 Quantitative Methods withBusiness Applications 3 creditsSelected methods using mathematics drawnfrom algebra, graphing, matrix algebra, probabilityand statistics applied to business situations,such as various types of decision-makingstrategies, monetary payoffs, purchasing,transportation, inventory control and queuingmodels. Fall of even years. Prerequisite(s):(MA 2300 or CJ/MA 2350) and two semestersof calculus.MA 4350 Probability Theory 3 creditsTopics in probability theory such as probabilityspaces, random variables, multivariate distributionsand the algebra of expectations as amathematical foundation for statistical inference.Springs. Prerequisite(s): (MA 2300 orCJ/MA 2350) and MA 3540.MA 4420 Numerical Analysis Using theComputer3 creditsCovers standard topics in numerical analysismaking use of the computer for extensive arithmeticoperations. Introduces the student toBASIC, which is then used throughout thecourse in finding Taylor’s series with errorestimates, numerical solutions of ordinary andpartial differential equations, interpolatingpolynomials and other topics. Spring of oddyears. Prerequisite(s): (MA 2560 or MA 3500),plus knowledge of a programming language,e.g., BASIC or Pascal or FORTRAN.MA 4450 Seminar in AppliedMathematics 3 creditsAn interdisciplinary course designed to showhow mathematics can be applied to problemsof the world in which we live. Fall of odd years.Prerequisite(s): variable, depending on themeselected; consult course instructor.MA 4510 Advanced Calculus I 3 creditsA rigorous treatment of classical topics incalculus including: Completeness Axion,Heine-Borel Theorem, differentiability and/orCourses<strong>Plymouth</strong> <strong>State</strong> University <strong>Academic</strong> <strong>Catalog</strong> <strong>2007</strong>–<strong>2008</strong> 281

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