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Course Criteria
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3.00 Credits
Fulfills a course requirement in the Mathematics Core ConcentrationFulfills the University Core Curriculum requirement in mathematicsPrerequisite: Successful completion (C- or higher) of MATH 136 orplacement by examinationFocuses on concepts and techniques in mathematics that playa fundamental role in the study of computer science. Sets,functions and relations, algorithms, proof by induction, recursivefunctions, and elementary combinatory and graph theory arestudied.
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3.00 Credits
Fulfills and elective requirement in the mathematics major, minor, orcore concentrationPrerequisite: Successful completion (C- or higher) of MATH 213This course shows students how to use specialized software formathematical and scientific problem solving, exploration, andvisualization. Students will learn how to take advantage of thecapabilities of free, open source mathematical software in a variety ofmathematical and modeling situations.
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3.00 Credits
Cross-listed with BIO 250Fulfills the statistics requirement for the Biology, Marine Biology andEnvironmental Science MajorsPrerequisites: MATH 136, BIO 104 and sophomore standing or consentof instructorThe course is a team-taught introductory course in statistics withapplications to biological problems. Students will learn statisticalconcepts and the technical details behind those concepts as well aswhen and how to apply particular procedures. This class is a mixof theoretical understanding of statistical principles and problemapplication using statistical software. Particular topics include thefollowing: Measures of the central tendency and of dispersion andvariability, hypothesis testing, Analysis of Variance and linear, multipleand polynomial regression.
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3.00 Credits
Fulfills a course requirement in the Mathematics Core ConcentrationPrerequisites: Successful completion (C- or higher) of MATH 213; orconsent of instructorPresents matrices, systems of linear equations, linear programmingproblems (diet, work scheduling, transportation, assignment andtransshipment), the simplex algorithm, and dual linear programmingproblems.
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3.00 Credits
Fulfills a course requirement in the mathematics majors, mathematicsminors and Mathematics Core ConcentrationFulfills the University Core Curriculum requirement in mathematicsPrerequisite: Successful completion (C- or higher) of MATH 214 or 218; orpermission of instructorMathematical modeling is a powerful tool that helps us understand aplethora of phenomena in various disciplines such as mathematicalsciences, operation research, biology and engineering. The emphasisof this course is on applications to real-world problems. Both discreteand continuous modeling will be covered. Topics include modelingchange (with difference equations), model fitting (least squares),optimization of discrete models and modeling with differentialequations.
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3.00 Credits
Fulfills a course requirement in the Mathematics Core ConcentrationPrerequisite: Successful completion (C- or higher) of MATH 214; or consentof instructorEmphasizes probability, probability density functions,distributions, statistical inferences and estimation, correlation,and regression.
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3.00 Credits
Fulfills a course requirement in the Mathematics Core ConcentrationPrerequisite: Successful completion (C- or higher) of MATH 214; or consentof instructorStudies methods of solution of ordinary differential equations withapplications in science and engineering. Extensive use is made of themethod of Laplace transforms.
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3.00 Credits
Fulfills a course requirement in the Mathematics Core ConcentrationPrerequisites: Successful completion (C- or higher) of MATH 317; or consentof instructorThis is a course in mathematical methods for students majoring inengineering. Topics to be discussed include: vector calculus, thetheorems of Green, Gauss and Stokes, power series, Fourier series andorthogonal polynomials.
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3.00 Credits
Fulfills a course requirement in the Mathematics Core ConcentrationPrerequisite: Successful completion (C- or higher) of MATH 213; or consentof instructorPresents matrices, determinants, vector spaces, linear transformations,eigenvectors and eigenvalues, diagonalization, solution of systemsof linear equations by the Gauss-Jordan method, and applications.Completion of MATH 231 - Introduction to Mathematical Reasoning isrecommended.
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3.00 Credits
Fulfills a course requirement in the Mathematics Core ConcentrationPrerequisites: Successful completion (C- or higher) of MATH 214 and 231;or consent of instructorFocuses on two areas of mathematics required for secondarymathematics education: number theory and geometry. Number theorytopics to include: divisibility, primes, congruencies, perfect numbersand the Fibonacci numbers. Geometry topics to include a review ofEuclidean geometry, transformation geometry, and an introduction toseveral non-Euclidean topics: neutral geometry, Bolyai-Lobachevskiangeometry, and Riemannian geometry.
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