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$key = q/{sylllist}entryInstructorProfessorDougMeadenewlinetabularllOfficeHours:;SPMamp;MWF11:00--12:00andbyitpriorappointmentOffice:;SPMamp;LeConteCollege300EPhone:;SPMamp;777-6183E-mail:;SPMamp;ttmeade@math.sc.edutabularentryWWWURLtthttp:www.math.sc.edu~meademath550-S97entryMeetingTimesMWF9:05scam--9:55scpm,LC405entryTextMarsdenandTromba,itVectorCalculus,(4_inline$^textth$_inlineed.),W.H.FreemanandCompany,1996.entryPrerequisiteCompletionofMath241.entryCourseContentVectoranalysisinvolvesthestudyoffunctionswhosedomainandorrangeisvector-valued.Someofthemaintopicsinclude:representationsofcurvesandsurfaces,derivativesandintegrals.ThemaingoalofthiscourseistothoroughlydevelopandapplytheintegraltheoremsofGreen,Gauss,andStokes.Thisdiscussionrequiresasolidfoundationinthegeometryofcurvesandsurfaces,aswellaslineintegrals,surfaceintegrals,andvolumeintegrals.TheseconceptsshouldallbesomewhatfamiliarfromscMath241.ThematerialinChapters1and2willbereviewedveryquickly.Chapters4and5willbediscussedinmoredetail,althoughmostofthematerialshouldstillbefamiliar.Approximatelytwo-thirdsofthecoursewillbedevotedtounderstandingChapters6,7,and8.Thefollowinglistingsummarizessomeofthemaintopicsineachchapter.descriptionitem[Chapter1]TheGeometryofEuclideanSpaceitemizeitemvectorsandvectoroperationsitemcylindricalandsphericalcoordinatesystemsitemizeitem[Chapter2]Differentiationitemizeitemlimits,continuity,anddifferentiationitemdefinitionandpropertiesofgradientsanddirectionalderivativesitemizeitem[Chapter4]Vector-ValuedFunctionsitemizeitemarclengthitemvectorfields,divergenceandcurlitemizeitem[Chapter5]DoubleandTripleIntegralsitemizeitemiteratedintegralsitemchangingtheorderofintegrationitemizeitem[Chapter6]TheChangeofVariableFormulaandApplicationsofIntegrationitemizeitemJacobiansitemizeitem[Chapter7]IntegralsoverPathsandSurfacesitemizeitemparameterizationoflinesandsurfacesitemizeitem[Chapter8]TheIntegralTheoremsofVectorAnalysisitemizeitemGreen'stheoremitemStokes'theoremitemGauss'theoremitemapplicationsitemizedescriptionentryStudyHintsBeforeeachclass,youshouldbothreviewyourclassnotesandreadthesectiontobediscussedthatday.Thiswillallowyoutobetterunderstandtheterminologyandconceptsdiscussedinclass,toidentifyconceptsthatarenotcleartoyou,andtoidentifyquestionsthatyoumayneedtoaskduringclass.scMath241istheprerequisiteforthiscourse.Thereviewofthismaterialwillbebrief.BesureyoutakeallnecessarystepstorefreshyourmemoryandskillsrelatingtothematerialinChapters1and2ofourtextbook.entryGradingYourgradeinthiscoursewillbebasedonyourperformanceonhomework,three(3)mid-termexams,andafinalexam.Theweightsassignedtoeachofthesecomponentswillbe:centertabular[t]lr@%Homework;SPMamp;10Mid-termexams(3);SPMamp;60Finalexam;SPMamp;30tabularcenterCoursegradeswillbedeterminedaccordingtothefollowingscale:centertabular[t]lr@--rA;SPMamp;90;SPMamp;100B;SPMamp;80;SPMamp;89C;SPMamp;70;SPMamp;79D;SPMamp;60;SPMamp;69F;SPMamp;0;SPMamp;59tabularcenterNotethatthedeadlinetodropthiscoursewithagradeofWisunderlineFriday,February21,1996.entryExamsTherewillbetwo(2)examsduringthesemester.itTentativedatesandtopicsfortheseexamsare:centertabular[t]l@hspace*0.5inlFriday,February14;SPMamp;Chapters1,2,4,and5Friday,March28;SPMamp;Chapters6and7tabularcenterMake-upexamswillbegivenonlyfordocumentedreasonsofillness,familyemergencyorparticipationinaUniversitysponsoredevent.Excusessuchasoversleeping,forgettingthetimeorlocationoftheexam,andlackofstudyingareexplicitlynotedasunacceptablegroundsfortheadministrationofamake-upexam.Acomprehensivefinalwillbegivenatunderline9:00sca.m.onunderlineWednesday,April30,1997.newlineem(Donottrustexamschedulespublishedbyunofficialsources,eme.g.,theMortarBoard.)entryHomeworkAminimumsetofhomeworkproblemswillbedistributedattheningofeachchapter.Youareresponsibleforworkingtheseproblemsasweworkthroughthebook.Allproblemsmarkedwithanasterisk(_inline$^*$_inline)willbecollectedandgradedonceeachweek(usuallyonMonday).Yourhomeworkaveragewillbedeterminedafterdroppingyourthree(3)lowesthomeworkscoresunderlineNolatehomeworkwillbeaccepted.entryAttanceRegularclassattanceisimportant.ConsistentwiththeUSCUndergraduateBulletin,agradepenaltymaybeappliedtoanystudentmissingmorethanfourclasses(10%)duringthesemester.entryAcademicHonestyCheatingandplagiarismwillnotbetoleratedinthiscourse.Youmaydiscusshomeworkproblemswithothers,butdonotcopysolutionsfromanotherstudentorfromabook.ViolationsofthispolicywillbedealtwithinamatterconsistentwithUniversityguidelines.{sylllist}/;
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