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2011 – 2012Course DescriptionsMATH 108 MATHEMATICAL THINKING (3)Three hours lecture per weekPrerequisites: A passing score on theEntry Level Mathematics Examination orMATH 095Presents the diversity of mathematics andthe spirit in which it is employed in varioussituations, including different problemsolvingstrategies, inductive-deductivereasoning, paradoxes, puzzles andmathematical modeling. The contributionsof various cultures and influences of otherdisciplines to mathematical thinking arestudied.GenEd: B3MATH 137 STRATEGIES ANDGAME DESIGN (3)Three hours lecture per weekPrerequisite: A passing score on the EntryLevel Mathematics ExaminationThis course introduces mathematics to theanalysis of games. The principles of gametheory including graphs, logic, algebra,geometry and probability are connectedto game design, computer graphicsand game strategies in various contexts.Applicable algorithms and techniquesare demonstrated through appropriatecomputer gaming examples.GenEd: B3MATH 140 CALCULUS FORBUSINESS APPLICATIONS (3)Three hours lecture per weekPrerequisites: A passing score on theCalculus Placement Examination or MATH101 or MATH 105An integrated course in analyticgeometry and calculus in the context ofbusiness and economics applications.Functions, limits, derivatives, integralsand mathematical modeling are usedin problem solving in decision makingcontext.GenEd: B3MATH 150 CALCULUS I (4)Four hours lecture per weekPrerequisites: Passing scores on theCalculus Placement Examination orMATH 105A course in analytic geometry andcalculus. Topics include: elementaryand transcendental functions, theirproperties, limits, derivatives, integrals andmathematical modeling.GenEd: B3MATH 151 CALCULUS II (4)Four hours lecture per weekPrerequisite: MATH 150Topics include: differentiation, integration,sequences, infinite series, and powerseries.MATH 201 ELEMENTARY STATISTICS (3)Three-hour lecture per weekPrerequisites: A passing score on the EntryLevel Mathematics Exam (ELM) or Math105 or Math 101Critical reasoning using a quantitativeand statistical problem-solving approachto solving real-world problems. Topicsinclude: probability and statistics,sample data, probability and empiricaldata distributions, sampling techniques,estimation and hypothesis testing,ANOVA, and correlation and regressionanalysis. Students will use standardstatistical software to analyze real worldand simulated data.GenEd: B3MATH 202 BIOSTATISTICS (3)Three hours lecture per weekPrerequisites: A passing score on the EntryLevel Mathematics Exam (ELM) or MATH105 or equivalentCritical reasoning using a quantitativeand statistical problem-solving approachto solve real-world problems. Usesprobability and statistics to describeand analyze biological data collectedfrom laboratory or field experiments.Course will cover descriptions of sampledata, probability and empirical datadistributions, sampling techniques,estimation and hypothesis testing,ANOVA, and correlation and regressionanalysis. Students will use standardstatistical software to analyze real worldand simulated data.Same as PSY 202GenEd: B3MATH 208 MODERN MATHEMATICS FORELEMENTARY TEACHINGI-NUMBERS AND PROBLEMSOLVING (3)Three hours lecture per weekPrerequisite: MATH 101Current issues of modern math curriculumincluding abstract thinking and problemsolving approaches to teaching. Contentcovers systems of numeration, nature ofnumbers and fundamental operations,relations and functions, properties ofintegers, rational and real numbers, andmathematical modeling. Problem solvingstrategies and geometric interpretationsare stressed. Designed for studentsintending to teach in K-8. This course isnot open to students who have credit forCalculus.GenEd: B3MATH 230 LOGIC AND MATHEMATICALREASONING (3)Three hours lecture per weekIntroduction to modern deductive logic.Critical thinking and abstract approachesto common language. Includes abstractsets and number sets, relations,prepositional logic, common languagecases, and theory of quantification.GenEd: A3, B3MATH 240 LINEAR ALGEBRA (3)Three hours lecture per weekPrerequisite: MATH 151Topics include: matrices, linear systemsof equations, determinants, vectors in2 and 3 dimensions, eigenvalues, thevector space Rn, linear transformations,introduction to general vector spaces andapplications.MATH 250 CALCULUS III (3)Three hours lecture per weekPrerequisite: MATH 151 with a grade ofC or betterTopics include: functions of severalvariables, solid analytic geometry, partialdifferentiation, multiple integrals withapplications; vector analysis, and line andsurface integrals.MATH 300 DISCRETE MATHEMATICS (3)Three hours lecture per weekPrerequisite: MATH 230Topics include: Sets, algebraic systems,axioms, definitions, propositions andproofs. Combinatorics, graph theory,moduli calculus. Coding, coding errorsand Hamming codes. Students areexpected to write mathematical proofs,and communicate mathematical ideasclearly in written and oral form.MATH 301 DISCRETE MATHEMATICSFOR IT (3)Three hours lecture per weekApplications of sets, logic, algebraicsystems, combinatorics, graph theory,moduli calculus in information technology.Basic coding, coding errors andHamming codes and applications.MATH 308 MODERN MATHEMATICS FORELEMENTARY SCHOOLTEACHING II-GEOMETRY,PROBABILITY AND STATISTICS (3)Three hours lecture per weekPrerequisites: MATH 208 or Consent ofinstructorCurrent issues of modern math curriculumincluding abstract thinking and problemsolving approaches to teaching.Content covers systems of geometry andgeometric interpretation of real numbers,geometric constructions, mathematicalmodeling, basic probability and statistics.Problem solving strategies are stressed.Designed for students intending tobecome elementary school teachers.268 www.csuci.edu • California State University Channel Islands • 2011 - 2012 Catalog