2013-2014 Catalog - Virginia Wesleyan College

130 MATHEMATICS AND COMPUTER SCIENCEChart continued from previous pageMATH 210Introductory StatisticsMATH 310Statistical ModelsMATH 172Calculus IIMATH 217Linear AlgebraPHYS 221University Physics IMinor Requirements: MathematicsCOURSE NUMBER AND TITLEOR 4444TOTAL 56SEM.HRS.MATH 171Calculus with Precalculus, Part I4MATH 172Calculus with Precalculus, Part II4One of the following:MATH 205Foundations of Logic and ProofMATH 217OR 4Linear AlgebraMATH 273Multivariable CalculusTwo of the following:MATH 301, 310, 316, 333, 340, 8350, 410, 419, 471, 480, 489TOTAL 20Minor Requirements: Computer ScienceCOURSE NUMBER AND TITLESEM.HRS.CS 112Computer Programming I4CS 212Computer Programming II4CS 110Introduction to Programmingwith Visual BASIC OR 4CS 205Foundations of Logic and ProofTwo of the following:CS 310, 311, 331, 332, 350, 8380, 430, 440, 480, 489TOTAL 20MATHEMATICS COURSES (MATH)005 Algebraic Preliminaries (4)Students develop basic computational skills andstrengthen their understanding of fundamentals inpreparation for courses that involve more difficultquantitative concepts. Students with placement levelD must complete this course with a grade of C orhigher before attempting MATH 104. Topics includeoperations on whole and signed numbers, fractions,decimals, exponents, variables, linear equations, andelementary problem solving. Traditional grading only.While students receive no credit for this course, thecourse grade does count toward their overall gradepoint average as if it were a 4 semester-hour course.Prerequisite: placement or consent. Offered eachspring.104 Algebra and its Applications (4) QPresents topics in algebra through traditional andapplications-based methods. Topics includefunctions, exponents and scientific notation, linear,exponential, rational and quadratic functions andgraphs, systems of equations, quadratic and linearinequalities. Prerequisite: placement level C, Math005 with a grade of C or higher, or consent. Studentsmust have a TI-83 or TI-84 graphing calculator.Offered each semester.135 Calculus with Precalculus, Part I (4) QStudents learn the basic tools of calculus, why theywork, and how to apply them in various contexts.Symbolic, graphical, and numerical approaches areconsidered. Topics include limits, derivatives, andapplications. Includes sufficient coverage of functionsand trigonometry to support the study of calculusand of other sciences. The two-course sequence,MATH 135 and 136, is sufficient preparation forMATH 172 Calculus II. Prerequisite: placement levelB, MATH 104 with a grade B or higher, or MATH105 with a grade of C- or higher, or consent. Offeredeach fall.136 Calculus with Precalculus, Part II (4) QA continuation of MATH 135. Topics includeapplications of derivatives, the Riemann integral, andthe Fundamental Theorem of Calculus. Includessufficient instruction in advanced algebraictechniques to support the study of calculus.Prerequisite: MATH 135 with a grade of C- or higheror consent. Offered each spring.150 Topics in Modern Mathematics (4) QCourse exposes students to areas of modernmathematics. Topics vary but may include votingtheory, game theory, mathematics and art, elementarynumber theory, graph theory and schedulingproblems, management science, and others. Focusis on critical thinking skills, communicatingmathematics orally and in writing, and applicationsto other disciplines. Prerequisite: placement level A orB. Offered each spring171 Calculus I (4) QStudents learn the basic tools of calculus, why theywork, and how to apply them in various contexts.Calculus I develops the differential calculus throughsymbolic, graphical, and numerical approaches.Topics include differentiation of algebraic andtranscendental functions, applications in modelingand optimization, and the Fundamental Theorem ofcalculus and an introduction to differential equations.Prerequisite: placement level A or consent. Offeredeach fall.172 Calculus II (4) QA continuation of Calculus I. More advancedtechniques are studied and used to solve quantitativeproblems in various contexts. Topics includeintegration techniques, applications of definiteintegration, polar coordinates, parametric equationsand sequences and series. Prerequisite: MATH 136 or171 with a grade of C- or higher or consent. Offeredeach semester.189 Games and Decisions (4) QLearn how to win games with math! In thiscourse, use discrete mathematics (game theory, logic,probability) to model real-world situations involvingdecision making. Prerequisite: placement level A, B orH. Offered each fall.205 Foundations of Logic and Proof (4) QThe analysis of finite step-by-step processes.Develops reasoning skills, enhances software-writingabilities, and introduces elementary computercircuitry. Topics include Boolean algebra, digital logiccircuits, the nature of valid argument, mathematicalinduction, recursive sequences, and countingtechniques, including combinatorics methods. Manyclass examples are drawn from computer science.Prerequisite: MATH 135 with a grade of C- or higher,or placement level H or A, or consent. Identical to CS205. Offered each spring. Recommended springfreshman year.210 Introductory Statistics (4) QIntroduces students to learning from data. Topicsinclude the basics of data production, data analysis,probability, Central Limit Theorem, and statisticalinference. Statistical software is used for datamanagement, calculation, and visualization. Noprevious knowledge of statistics is required.Prerequisites: placement level B or A or H, MATHMATHEMATICS AND COMPUTER SCIENCE131104 with a grade of C- or higher, or MATH 105 witha grade of C- or higher, or consent. Freshmen byconsent only. Students must have a TI-83 or TI-84graphing calculator. Offered each semester.217 Linear Algebra (4)The study of vector spaces and linear equations inseveral variables. Topics include systems of linearequations, vector spaces, linear dependence ofvectors, bases, dimension, linear transformations,matrices, determinants and applications. Prerequisite:MATH 172 (grade of C- or higher) or consent.Offered each fall.273 Multivariable Calculus (4)Topics include functions of several variables,curves, surfaces, partial differentiation, multipleintegrals, and vector analysis. Prerequisites: MATH172 (grade of C- or higher) or consent. Offered eachspring.274 Ordinary Differential Equations (4)Explores the theory and applications of ordinarydifferential equations and their solutions. Topicsinclude linear and non-linear first order equations,higher order linear equations, series solutions, systemsof linear differential equations, Laplace transforms,and numerical methods. Prerequisite: MATH 172(grade of C- or higher) or consent. Offered each fall.300 Teaching Assistants’Program for Math (1)Qualified students assist math instructors inteaching their classes. Enrollment is by invitation ofthe MATH/CS department. Although the course isuseful for students seeking certification in secondaryeducation, enrollment is not limited to them. Astudent may enroll more than once, but may apply nomore than 3 semester hours earned in this mannertoward graduation. May not be used to satisfy majoror minor requirements in mathematics, although onesemester of MATH 300 is required for secondaryeducation certification. Offered each semester.301 Combinatorics (4)An introduction to combinatorics, themathematical art of counting discrete quantities.Topics include enumeration of combinatorialstructures, recursive algorithms, graph theory withapplications and algorithms, inclusion-exclusion, andgenerating functions. Prerequisite: MATH/CS 205(grade of C- or higher), MATH 217 (grade of C- orhigher), or MATH 273 (grade of C- or higher) orconsent. Offered fall of odd-numbered years.