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MATH 318 MATHEMATICS FOR SECONDARYSCHOOL TEACHERS (3)Three hours lecture in the computer labper weekPrerequisite: MATH 150Current issues of modern secondaryschool math curriculum including abstractthinking, technology use and problemsolving approaches to teaching. Contentis geometry based, but selected topicsfrom algebra, precalculus, and calculuswill be discussed. Designed for studentsintending to teach. Service learningproject required.MATH 329 STATISTICS FOR BUSINESSAND ECONOMICS (3)Three hours lecture in the lab per weekIntroduction to modern statistical methodsused in business and economic analysis.Topics include: sampling, probability,various distributions, correlation andregression, statistical inferences,hypothesis testing, problem solvingand the consequences to underlyingeconomical systems.GenEd: B3MATH 330 MATHEMATICS ANDFINE ARTS (3)Three hours lecture in the lab per weekPrerequisites: A passing score on theEntry Level Mathematics examination, orMATH 095The course is specially designedfor students interested in fine arts,with the emphasis on understandinggeometric patterns and concepts byself-explorations. The course creates avast reservoir of art-related examples andhands-on experiences, and will give aninnovative mathematical background forfuture artistic endeavors of students.GenEd: B3, InterdisciplinaryMATH 331 HISTORY OF MATHEMATICS (3)Three hours lecture per weekStudy of breakthrough mathematical ideasand their creators, including historicaland scientific context. Important conceptsof current mathematics are studied:inception, development, difficulties,significance and various viewpoints willbe presented. Lecture-discussion. At leastone significant writing assignment isrequired.GenEd: B3, D, InterdisciplinaryMATH 345 DIGITAL IMAGE PROCESSING (3)Three hours lecture in the lab per weekPrerequisite: Consent of instructorAn introduction to the basic concepts andtechniques for digital image restorationand enhancement, analysis, codingand compression. The emphasis is onprocesses which analyze primarily twodimensionaldiscrete images representedat the pixel level, including filtering, noisereduction and segmentation. Fourieranalysis techniques will be explored.Programming exercises will be used toimplement the various processes, andtheir performance on synthetic and realimages will be studied.Same as PHYS 345, COMP 345GenEd: B1, B4, InterdisciplinaryMATH 350 DIFFERENTIAL EQUATIONS ANDDYNAMICAL SYSTEMS (3)Three hours lecture per weekPrerequisite: MATH 250 (may be takenconcurrently)Topics include: ordinary differentialequations, existence and uniquenessof solutions. Linear equations. Laplacemethods. Flows and diffeomorphisms, limitsets, iterations of maps. Positive entropysystems, chaotic behavior of trajectories.MATH 351 REAL ANALYSIS (3)Three hours lecture per weekPrerequisites: MATH 240 and MATH 250Topics include: real number system,metric spaces, norms, function spaces,continuity, differentiability, integrability offunctions, sequences and series.MATH 352 PROBABILITY AND STATISTICS (3)Three hours lecture per weekPrerequisite: MATH 151Topic include: data gathering, analysisand display. Validity of samplingmethods and statistical conclusions.Probability, conditional probability,Bayes’ Theorem, discrete and continuousrandom variables and their distribution(e.g., binomial, Poisson, hypergeometric,negative binomial, normal, exponential,gamma), moments, bivariate distributions,transformations of random variables,central and other limit theorems.Bayesian estimates, tests of hypotheses,nonparametric tests, decision theory.Modern computer software applicationsin statistics.MATH 354 ANALYSIS OF ALGORITHMS (3)Three hours lecture per weekPrerequisites: MATH 300 and somecomputer programming experienceComputer-oriented study of seminumericaland non-numerical algorithms. Topicsinclude: sorting, tree searching,generation of combinatorial structures,algorithm proof techniques, bestalgorithms, programming complexity, andstring matching.MATH 393 ABSTRACT ALGEBRA I (3)Three hours lecture per weekPrerequisites: MATH 240 or Consent ofinstructorGroups, rings, and fields, the basicalgebraic structures in contemporarymathematics.MATH 399 MODERN TOOLS INMATHEMATICS (1)Three hours laboratory per weekModern tools and software basedproblem solving in mathematics.Repeatable up to 4 units.Graded Credit/No CreditMATH 429 OPERATIONS RESEARCH (3)Three hours lecture per weekPrerequisites: MATH 329 or MATH 352 orEquivalentIntroduction to applied mathematicalmethods in management sciences. Topicsinclude: linear programming, managerialoptimization methods, duality andequilibrium theorems, the simplex method,development of tools and methodsrequired to make decisions and to solveoperational problems in economy,decision and risk analysis, modelingand game theory. Topics of parametricprogramming, large-scale methods,generalized programming.MATH 430 RESEARCH DESIGN ANDDATA ANALYSIS (3)Three hours laboratory per weekPrerequisites: PSY/MATH 202 with agrade of C or better or MATH 352Discussion of experimental design,sampling methods, data collection, andmethods of data analysis related toscientific fields.GenEd: A3, B3, InterdisciplinaryMATH 437 MATHEMATICS FOR GAMES,SIMULATIONS, ANDROBOTICS (3)Three hours lecture per weekPrerequisites: MATH 137 or MATH 300 orConsent of instructorCovers the application of basic algebra,Newtonian physics, computationalmechanics, linear algebra, probability,and differential equations to gamedevelopment, simulations and robotics.Project based class wherein conceptsare demonstrated by student teams usinggame engines, 3D graphics tools, androbots.GenEd: B3, InterdisciplinaryCourse Descriptions2011 – 2012www.csuci.edu • California State University Channel Islands • 2011 - 2012 Catalog269