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MAT 233 – 01, Spring 2018 ClassmeetsTuesdaysandThursdays9:30–11:20a.m.inMainHall125
Dr.KathyShay
Professor contact information: Dr.KathyShay
[email protected]:CenterIIroom102Officephone:732-548-6000x3733
Voicemail:732-807-5280
Office Hours – please stop by and see me! Monday Tuesday Wednesday Thursday
1:00–2:00 2:00–3:00 1:00–3:00 3:00–4:00byappt.
Hello!IlookforwardtoworkingwithyouinCalculusIIIthissemester.Inthiscourse,manyoftheseeminglyisolatedconceptsthatyoustudiedinCalculusIandIIwillcometogetherinameaningfulway.We’llextendandapplymanyoftheprinciplesyou’vealreadylearnedtostudycurves,surfaces,andvectorfieldsinthreedimensions.ThiscoursewillalsoofferaServiceLearningcomponent,whereyoucanapplyyourmathematicalexpertisebymentoringstudentsinPrecalculusorCalculusI.Uponsuccessfullycompletingthiscourse,youwillhavetheknowledgeandskillstounderstand,interpret,andsolvemultivariateandvectorcalculusproblemsandtheirreal-worldapplications.Expecttobechallenged,engaged,andsupportedasyouexploretheworldof3-D!
TableofContentsCourseInformation p.2TextbookandTechRequirements p.3Policies p.4HelpandSupport p.5AssignmentsandGradingInformation p.6-7ServiceLearning/GuidedProject p.8CourseSchedule p.9-10
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What’s this course about? Thecatalogdescriptionreads,“Emphasisisonthestudyofanalyticgeometryandcalculusinthreedimensions.Topicsincludesolidanalyticgeometry,partialderivatives,multipleintegrals,andtopicsinvectoranalysissuchasGreen'stheorem,thedivergencetheorem,surfaceintegralsandStokes’theorem.Recommendedforstudentsmajoringinengineering,mathematics,computerscience,socialsciences,andthesciencerelatedfieldsofchemistryandphysics.”
What will I get out of this course? UponsuccessfulcompletionofCalculusIII,youshouldbeableto:1. Visualize,analyzeanddescribecurves,surfaces,andregionsintwoandthree
dimensionsinvariouscoordinatesystems.2. Applypropertiesofvectoroperationstoanalyzetrajectoriesandgeometricobjects.3. Solvemultivariablecalculusproblemsthroughtheapplicationandextensionofconcepts
learnedinCalculusIandII.4. Applytheoremsofvectorcalculustocalculatelineandsurfaceintegrals.5. Utilizetheprinciplesofanalyticgeometryandcalculustosolvereal-worldproblems.Inaddition,thiscoursewillhelptodevelopyourmentalacuityandanalyticalskills.
How will I know I’m learning? Throughoutthecourse,youwillhavelotsofopportunitiestosolveproblemsonyourown,withothers,andtosharewhatyou’velearnedthroughwritingandpresentations.• Backgroundcheckswillalertyoutoanyprerequisiteskillsthatyouneedtorefreshinorderto
learnnewmaterial.• Clickerquestionsandcollaborativeproblemsolvinginclasswillprovideampleoccasionsto
testyourunderstandingofnewconcepts.• HomeworkassignmentsinMyMathLabwillgiveyouimmediatefeedbackaswellasproblem-
specificsupport.Usethehomeworktoreinforcelearningandachievemastery.• TheServiceLearningorGuidedCalculusProjectwillgiveyoutheopportunitystrengthenyour
understandingandconfidenceinmathematicsbymentoringothersorbysolvingadvancedapplicationproblems.
• Examsaredesignedtoassessthecontentknowledgeandskillsyoudevelopduringthesemester.They’reyouropportunitytodemonstratewhatyou’velearned.
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What book and other resources do I need?
MyMathLab with eBook: IfyoupurchasedMyMathLabaccesswiththeBriggstextforCalculusIand/orII,youmaycontinuetouseyouraccountatnoadditionalcost.MyMathLabincludesaninteractiveelectronicversionofthetext,apersonalstudyplan,allhomeworkassignmentsandlotsofmultimediaresources.YoucanlinktoMyMathLabviatheMyLabandMasteringlinkinthecoursenavigationmenuinCanvas.
or MyMathLab with Paperback Textbook: MultivariableCalculusbyBriggs,Cochran,Gillett©2013,withMyMathLabisavailableintheCollegeBookStorefor$173.30.Calculator: Agraphingcalculatorisrequired. Canvas: CanvasistheCollege’snewlearningmanagementsystemthathasreplacedCampusCruiser.IuseCanvasregularlytopostclassnotes,backgroundchecks,quizzes,attendancerecords,andmore.Theonlinegradebookwillhelpyoutrackyourgradethroughoutthesemester.
Piazza: PiazzaisaFREEonlineQ&Aplatformthatwewillusetodisplaysolutionstoproblemsandaskandanswerquestions.YoucanlinktoPiazzadirectlyfromthecoursenavigationmenuinCanvas.ExtracreditpointscanbeearnedbypostingcorrectsolutionstoproblemsonPiazza(seepage7).YoumaywanttodownloadthefreemobileappsforCanvasandPiazzaonyoursmartphoneortablet.
What are the technology requirements?
YouwillneedacomputerwithInternetaccesstofullyutilizethemultimediafeaturesonMyMathLab.Pearson’sStudentSupportpageoffersguidanceonsettingupyoursystem.Onceyou’veloggedintoMyMathLab,besuretoruntheBrowserChecktofindoutifyouhaveallthenecessaryplugins.
ThoughthereisnomobileappforMyMathLab,youwillhaveaccesstomany,butnotall,ofitsfeaturesonyourmobiledevice.
TherearefreemobileappsforbothCanvasandPiazza.
PleaseviewmybriefIntrovideosintheGettingStartedSectionofCanvasforanintroductiontothesetools.
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Important Policy Information Attendance Regularattendanceisessentialforsuccessinthisclass.Pleaseplantoattendandtobeontimeforeveryclasssession.Attendancewillbetaken.Ifyoumustmissaclass,pleasenotifymebyphoneore-mail. Homework Solvingproblems,workingwithothers,andworkingonyourownisafundamentalpartofthelearningprocess.Doallhomeworkwhenitisassignedandgethelpwhenyouneedit.Homeworkcountsbothdirectlyandindirectlytowardsyourgrade,asexplainedonpage6.Homeworkcompletedafter,butwithin5daysoftheduedatewillreceivepartialcredit. Missed Work Ifyoumissaclass,pleasecheckourclasspageonCanvastofindoutwhatworkyoumissedandcatchupinatimelyfashion.TheCanvaspagewillbeupdatedwithcurrentnotes,handouts,
andassignments.Youarewelcometovisitmeduringofficehourstodiscussmissedwork.Asageneralrule,IdoNOTgivemake-ups,nordoIacceptworkturnedinlate.Ifyoumissatestorquizorfailtocompleteanassessmentontheduedate,youwillreceiveascoreofZEROunlessyoucontactmewithin24hoursoftheabsenceandprovideproofofaVERYSERIOUSREASONforyourabsence.Suchcaseswillbehandledonanindividualbasis.
Classroom Courtesy Youarerequestedtoarrivetoclassontimeandtoavoidbehaviorthatmightdistractorirritateyourclassmatesorme.RefertothecollegecatalogorwebsiteforinformationabouttheCodeofStudentConductatMiddlesexCountyCollege.Pleasekeepphonesandmobiledevicessilentduringclass.Engaginginsocialmediaandtextinginclassdistractsnotonlyyoubutthosearoundyou.Don’tdoit! Seriously! Academic Integrity Honestyandintegrityarehighlyvaluedinthisclass.Cheatingwillnotbetolerated.Youarenotpermittedtocopyanother’sworkandrepresentitasyourownortoassistanotherstudentincommittinganactofacademicdishonesty.Anystudentfoundtobecheatingonatest,quizorassignmentwillreceiveascoreofzero.Asecondoffensewillresultinfailureofthecourseand,asarepeatedviolationoftheCodeofStudentConduct,mayalsoresultinacademicprobation,suspension,ordismissalfromtheCollege.
Registrar Withdrawal Information Studentssometimeshaveaneedtowithdrawfromaclassduetopersonaloracademicreasons.ThelastdaytowithdrawwithagradeofWisThursday,April5.Ifyoudoencounterdifficulties,pleasecontactmepriortowithdrawing. I want to help you succeed.
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Available Help and Support Therearemanysupportservicesthatcanhelpyouasyouworktoachieveyourgoals.Iencourageyoutoreachouttomeorotherprofessionalsoncampus.Here’sasummaryoftheavailableresources:
Me
Emailmeatkshay@middlesexcc.eduorstopbymyofficeinCenterIIroom102.Emailswillbeansweredwithin24hoursMonday-Friday.
Onlineresources
• Inadditiontohomeworkandthee-book,mymathlab.comhasawealthofmultimediatoolsandapersonalstudyplantohelpyoudevelopanunderstandingofcalculus.
• CheckCanvasfrequentlyforupdatesonassignments,announcements,classnotesandhandouts.LinkstohelpfulvideosandwebsitesarealsoonourCanvaspage.
• Piazzaisanonlinewiki-styleQ&Aplatformthatwe’llusetoaskandanswerquestionsanddisplaysolutionstoproblems.
TutorsTheTutoringCenterinJohnsonCommons(IRC241)offersfreepeertutoringinmanysubjects,includingcalculus.PleasecheckthepostedschedulefortheavailabilityofCalculusIIItutors.
Librarians Thelibraryoffersassistancewithfindingandevaluatinginformation.Visitthelibraryinperson,orchecktheirwebsiteformoreinformation.
Personal,Transfer,andDisabilityCounselors
TheCounselingdepartmentoffersconfidentialindividualcounselingandpresentsseveralworkshopsthroughoutthesemester.VisitEdisonHallroom100,call732-906-2546,orchecktheirwebsiteformoreinformation.
AcademicAdvisorsTheAcademicAdvisingCenteroffersdrop-inadvisingservices.VisitWestHall,secondfloor,call732-906-2596,orchecktheirwebsite.Full-timestudentsareassignedanadvisor.
MCCCaresand
AtMCCweareawarethatmanycollegestudentshavedifficultyaffordinggroceriesoraccessingsufficientfoodtoeateveryday.TheMCCCaresFoodPantryinCollegeCenterroom170Boffersfreenutritiousfood,noquestionsasked.Pleaseknowthatwww.nj211.orgprovidesassistancewithhunger,housing,andotherneeds.Theycanbecontactedthroughthewebsiteorbydialing211.
All students learn differently, and all learning styles are welcome in this class. If you have a physical, psychological, medical, or learning disability that may impact your course work, please let me know how I may assist you. Contact Disability Services as soon as possible to discuss the appropriate procedures for obtaining accommodations. The Disability Services staff is located in Edison Hall, room 100. They can be reached at 732-906-2546. All information and documentation is confidential.
Arewehavingasnowday?Checkthecollegewebsiteorcallthehotlineforschoolclosingsat732-906-2555.
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Assignments and Grading Information Yourgradewillbebasedonthetotalnumberofpointsyouearnfromthefollowingcategories:
• Homework on MyMathLabTargetedpracticeisneededtohelpyoulearnnewconcepts,sotherewillbeanassignmentforyoutocompleteonMyMathLabfollowingeachclass.MMLoffersanunlimitednumberofattemptsoneachproblem,anditprovideshintsandsupporttohelpyousucceed.You’llhaveoneweektocompleteeachassignmentforfullcredit.Partialcreditisavailableforlatework,withadeductionof20%perdayonproblemsdoneaftertheduedate.Itwillbepossibletoearnupto35pointsforhomeworkforeachhalfofthesemester,asfollows:
7-weekMyMathLabpercentage
90%andup 80%butlessthan90%
70%butlessthan80% p%withp<70
Homeworkpointsearned 35 32 28 p%of35
• Background checks (BGCs)Sincepriorknowledgeiscriticalforlearning,therewillbe10pass/fail
onlinequizzesonprerequisitematerial.Thesebackgroundcheckswillbeworth5pointseach.You’llget5pointsforaperfectscoreand0pointsforanythinglessthanperfect.You’llbeallowedanunlimitednumberofattempts,butbackgroundchecksmustbecompletedbeforetherelevantclassmeeting.Shortvideoswillbeavailabletohelpyoupassyourbackgroundchecks.
• Quizzes Therewillbesix16-pointquizzes;yourbestfivewillcount.Quizzeswillbegivenonline,andyouwillbeallowedtwoattemptstogetyourbestscore.Quizzeswillalwaysbeopenbook.Frequentquizzeswillhelpyouidentifytheconceptsthatyouneedtoworkon,giveyoupracticeinretrievingknowledge,andhelptoreducetestanxiety.
• Service Learning (or Guided Project) TheAmericanAssociationofCommunityCollegessays,“Servicelearningcombinescommunityservicewithclassroominstruction,focusingoncritical,reflectivethinkingaswellaspersonalandcivicresponsibility.Servicelearningprogramsinvolvestudentsinactivitiesthataddresslocalneedswhiledevelopingtheiracademicskillsandcommitmenttotheircommunity.”Ourservicelearningproject,requiringaminimumof12hoursofpeermentoringatMCC,isdescribedindetailonpage8.Ifyouareunabletoparticipate,youwillbeassignedaguidedcalculusprojectinplaceofservicelearning.TheSLorGuidedCalculusProjectisworth100points.
• Tests and the Final Exam Therewillbetwomidtermtestsandacumulativefinalexam,eachworth100points.Youwillbepermittedtouseanotesheetforeachexam.Practicetestswillbeprovidedatleastoneweekbeforeeachtest.
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Determining your grade GradecomponentsHomework 7011.7%Backgroundchecks 50 8.3%Quizzes 80 13.3%SLorCalcProject 100 16.7% 2tests@100pointseach 200 33.3%TheFinalExam 100 16.7% 600100%
Grades will be assigned as follows:
PointsEarned 540to600 522to539 480to521 462to479 420to461 360to419 Below360
Percent 90to100 87BLT90 80BLT87 77BLT80 70BLT77 60BLT70 Lessthan60
Grade A B+ B C+ C D F
Extra credit points,or“browniepoints”,willbeawardedforpostingsolutionstocurrentHWproblemsoransweringquestionsonPiazza,and/ordoingspecial(optional)problems.UseoftheLaTeXequationeditorinPiazzacangetyoutwobrowniepointsforeachcorrectlyansweredquestionorsolution;handwrittenofplaintextsolutionsareworthonebrowniepointifcorrect.Also,wheneveryoneinclassanswersadifficultclickerquestioncorrectly,orifImake3ormoremathematicalerrorsinaclass,everyoneinattendancegetsabrowniepoint!Youmayearnamaximumof30browniepointsforthesemester. Please note: Yourgradeisbaseduponyourscores.Iamnotamenabletopleasforextrapointsattheendofthecourse.Beforeyouconsideremailingmeaboutthis,pleasereadtheadviceofMarkTomforde,amathprofessorattheUniversityofHouston.Mybestadvicetoyouis:Doyourhomework!Quizyourselffrequently.Gethelpifyouarestuck.
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Service Learning AsastudenttakingCalculusIII,youareasurvivor!Manystudentsdon’tmakeitthisfar.SomeabandontheirdreamsofacareerthatrequiresastrongmathematicalfoundationbecausetheyareunabletopassgatewaycoursessuchasPrecalculusandCalculusI.Oftentimes,strugglingstudentscanandwillsucceedwiththerightkindofsupport.Andthat’swhereyoucanhelp.Itisnotanexaggerationtosaythatyourservicecanchangesomeone’slife.TheServiceLearningProjectrequirescompletingaminimumof12hoursduringthesemestermentoringtwo-to-threestudentsinPrecalculus(MAT129)orCalculusI(MAT131)righthereatMCC.Aone-hourtrainingsession(includedinthe12-hourrequirement)willtakeplaceduringtheweekofFebruary5,andmentoringwillbegininmid-February.Asapeermentor,youwillhelpyourmenteesimprovetheiracademicperformancebycoachingandtutoringthemonamutuallyconvenientschedule.Atthesametime,youwillbenefitbystrengtheningyourownmathematical,communication,andleadershipskills.GradesfortheServiceLearningProjectwillbebasedonthefollowingcriteria: Completionofatleast12hoursofservice 50points Reflectingonyourexperiencein3onlinediscussions,spacedthroughoutthesemester 30points Writinga500-wordreflectionpaperorgivingaclasspresentation 20points 100pointsMoredetailsabouttheprojectarepostedonCanvas.
Guided Calculus Project
IfyouareunabletoparticipateintheServiceLearningProject,you’llbeassignedaGuidedCalculusProject.Theseprojectstakeyoustep-by-stepthroughin-depthanalysesofapplicationsofCalculusIII.ThetopicsincludeInterceptingaUFO,EcologicalDiversity,GravitationalFields,Maxwell’sEquations,andmanymore.AlloftheGuidedProjectsarepostedonCanvas.
GradesfortheGuidedProjectwillbebasedonthefollowingcriteria: Correctlycompletingallstepsintheguidedproject,showingallwork 50points Writinga500-wordessaydescribingyourproject 30points Classpresentation 20points 100points
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Tentative Schedule of Topics and Assignments Subjecttochange,duetounexpectedhappenings
Note:Chapternumbersarelistedforthee-bookandMyMathLab.Chapterninthee-bookcorrespondstochaptern-1intheprintedtext.
Date What’sdue? TopicsandeventsTuesdayJanuary23 Readthesyllabus! Welcomeandintroductions.
Reviewoftrigonometry.ThursdayJanuary25
BGC#1–Basictrig
Polarcoordinates(Ch.12.2)VectorsinR2(Ch.13.1)
TuesdayJanuary30
Quiz1onthesyllabus VectorsinR3.(Ch.13.2)VisitfromAriannaIlla,ServiceLearningCoordinator
ThursdayFebruary1
BGC#2-DeterminantHWon12.2,13.1 DotproductsandCrossproducts.(Ch.13.3-13.4)
TuesdayFebruary6
BGC#3-LinesHWon13.2
LinesandcurvesinR3.Calculusofvector-valuedfunctions(Ch.13.5-13.6)
ThursdayFebruary8
Quiz2onvectoropsHWon13.3,13.4 Motioninspace(Ch.13.7)
TuesdayFebruary13
BGC#4–ArcLengthHWon13.5,13.6 Lengthofcurves.Curvatureandnormalvectors(Ch.13.8–13.9)
ThursdayFebruary15 HWon13.7 catchupandreview
TuesdayFebruary20 HWon13.8,13.9 Test#1
ThursdayFebruary22
BGC#5–Conicsections Planesandsurfaces.(Ch.14.1)
TuesdayFebruary27 Graphsandlevelcurves.(14.2)
ThursdayMarch1
HWon14.1 Partialderivatives(Ch.14.4)
TuesdayMarch6
HWon14.2Quiz3onsurfaces Chainrules,directionalderivatives(Ch.14.5,begin14.6)
ThursdayMarch8
HWon14.4 Gradient,directionalderivatives(Ch.14.6)
WeekofMarch12
SpringBreak!
TuesdayMarch20
BGC#6-LinearapproxHWon14.5
Tangentplaneandlinearapproximations.(Ch.14.7)
ThursdayMarch22
BGC#7-CriticalptsQuiz4on𝜕, ∇HWon14.6
Max/minproblems(Ch.14.8)
TuesdayMarch27
BGC#8–nonlinr.sys.HWon14.7 Lagrangemultipliers.(Ch.14.9)
ThursdayMarch29
BGC#9–Definite∫ HWon14.8
Doubleintegralsoverrectangularandnonrectangularregions(Ch.15.1–15.2)
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Date What’sdue? TopicsandeventsTuesdayApril3
BGC#10–Non∎HWon14.9
Doubleintegralsinpolarcoordinates.Tripleintegrals.(Ch.15.3–15.4)
ThursdayApril5
Quiz5onmax&minHWon15.1,15.2 Tripleintegralsincylindricalandsphericalcoordinates(Ch.15.5)
TuesdayApril10
HWon15.3,15.4 Catchupandreview
ThursdayApril12 HWon15.5 Test#2
TuesdayApril17 Vectorfields.Lineintegrals(Ch.16.1–16.2)
ThursdayApril19 Conservativevectorfields.Green’sTheorem(Ch.16.3–16.4)
TuesdayApril24
HWon16.1,16.2 Divergenceandcurl.Surfaceintegrals(Ch.16.5–16.6)
ThursdayApril26
HWon16.3,16.4Quiz6online∫ Stokes’Theorem.DivergenceTheorem(Ch.16.716.8)
TuesdayMay1 HWon16.5,16.6 Projectpresentations
ThursdayMay3 HWon16.7,16.8 Catchupandreview
TuesdayMay8 CumulativeFinalExam
A Note About Learning Thoughyou’vebeenastudentforquitesometime,it’spossiblethatyou’veneverbeentaughthowtolearn.Unfortunately,studentsoftenwastetimeandeffortonineffectivestudystrategies.Irecommendthatyouwatchthevideo(8.5minutes)fromlearningscientists.orgonHowtoStudyEffectively.There’salotofresearchthatsupportssuccessfuloutcomesfromthesesixhabits:
1. Spacedpractice:Spaceoutyourstudyingovertime,schedulingseveralshortsessionsaweek.2. Interleaving:Switchbetweenideaswhileyoustudy.3. Elaboration:Explainanddescribeideaswithmanydetails.4. Concreteexamples:Usespecificexamplestounderstandabstractideas.5. Dualcoding:Combinewords/notationandvisuals–anaturalapproachforstudyingmath.6. Retrievalpractice:Testyourselfoften.Practicebringinginformationtomind.
Researchshowsthatpopularpracticessuchascramming,highlighting,andrereadingnotesarenotparticularlyhelpful.(Dunlosky,2013)