MAT 233 – 01, Spring 2018 ClassmeetsTuesdaysandThursdays9:30–11:20a.m.inMainHall125

Dr.KathyShay

Professor contact information: Dr.KathyShay

kshay@middlesexcc.eduOfficelocation: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

2

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.

3

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.

4

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.

5

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.

6

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.

7

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.

8

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

9

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)

10

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)