CheatSheetYoumaybringonestandard85x11sheetofnotestotheexamYoumayusebothsidesofthepieceofpaperbutitmustbeinyourownhandwritingNophotocopiesofotherstudentssheetsforexampleWritingthingsoutis ID: 844267
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1 Math211,Sections01,05Fall2018Information
Math211,Sections01,05Fall2018InformationandSuggestionsfortheFinalExamGeneralComments:Thishandout,andtheotherhandoutsinthisnal(aswellasmostofthehandoutsusedthissemester),areborrowedfromProfessorBenedetto.Theactualproblemsinthenalexammayvaryfromtheonesthatappearhere).Thesehandouts,nevetheless,constituteexcellentresourcesforpreparingforournal.Theexamcoversthewholecourse,butmorethanathirdofitwillbeonChapter16.Soreviewthewholecourse,butputabitmoreemphasisonChapter16.Thatsaid,eventheChapter16stu requiresmaterialfrommanyearliersections.Remember,theexamwillbe:Thursday,December19,9am{noon,BeBu107 \CheatSheet":Youmaybringonestandard(8.5x11)sheetofnotestotheexam.Youmayusebothsidesofthepieceofpaper,butitmustbeinyourownhandwriting.(Nophotocopiesofotherstudents'sheets,forexample.)Writingthingsoutisagoodstudytechnique,andithelpsburnthingsintoyourbrain.Ifyoutakethetimetomakeacarefulcheatsheet,youmayndthatyouendupnotusingthecheatsheetatallduringtheexam,exceptmaybetoconrmyourememberedsomethingright. Morethingsyoudon'tneedtoknow:Oneachofthefourreviewsheets,Ilistedabunchofthingsyoudon'tneedtoknow.Youstilldon'tneedtoknowthosethings,butinaddition,youdon'tneedtoknowthefollowingtopicsthatwererequiredforearlierexams:Section12.6:Generalquadricsurfaces.Youdon'tneedtobeabletographallthesecrazysurfaces.However,fordoingtripleintegralsandsurfaceintegrals,Idoexpectyoutobeabletoworkwithandsketchellipticparaboloids(likez=x2+y2ory=4�x2�z2)andcylinders(whethercircularlikex2+z2=9,orparaboliclikey=z2,oranyotherkindofcylinder).Section13.3:Arclength.Section14.2:Theepsilon-deltadenitionoflimits.(ButyouDOstillneedtobeabletoshowamultivariablelimitdiverges,forexample.)Section14.4:Theocialdenitionofmultivariabledi erentiability.(ButyouDOstillneedtoknowthelimitdenitionofpartialderivativesanddirectionalderivatives.)Section14.5:TheChainRule.Sections15.5and15.7:Momentsandcenterofmass.(ButyouDOstillneedtoknowhowtocomputemass,andhowtodothevariousotherthingsinthesesectionsthatyouhadtok
2 nowforExam3.) MajorTip:Obviouslyyouneedt
nowforExam3.) MajorTip:Obviouslyyouneedtospendalotoftimeonyourothercourses,too.Butmakesuretodosomematheverydaybetweennowandthenalexam.Belowinthishandoutisonepossiblestudyplan.Iwouldstronglyrecommendyoufollowitorsomethingsimilar.APossibleStudyPlanDay1:ReviewMidtermExam1(includingpracticeproblemsandtheexamitself).Later,reviewChapter14andSections16.1{16.5.Dotherstpageofthe\PracticeProblemsfortheFinalExam."WritedownthingsfromChapters12{14thatyoumightwantonyourcheatsheet.Day2:ReviewMidtermExam2(includingpracticeproblemsandtheexamitself).Later,reviewChapter15andSections16.6{16.9.Dothesecondpageofthe\PracticeProblemsfortheFinalExam."GoandndBeBu107sothatyouknowtheexactlocationoftheroomwhereyouwilltakeyournalexam.Day3TaketheSpring2016FinalExam,skippingproblem7.Afteryouaredone,checkyouranswersagainstthesolutionspostedonthewebsite.ReviewChapters12{14andanyproblemsfromMidtermExams1and2(ortheirpracticeproblems)thatevergaveyoutrouble.WritedownthingsfromChapters15{16thatyoumightwantonyourcheatsheet.Day4TaketheFall2016FinalExam;workonimprovingyourtimemanagement.Afteryouaredone,checkyouranswersagainstthesolutionspostedonthewebsite.ReviewChapters15{16andanyproblemsfromMidtermExam3(oritspracticeproblems)thatevergaveyoutrouble.Ifyouhavetime,dothePracticeProblemsfortheFinalExamagain.Writeyourcheatsheet.Day5:TaketheFall2017FinalExam.Dothisundertest-conditions:sittingatadesk,nobreaks,withatimelimitof2:45.Afteryouaredone,checkyouranswersagainstthesolutionspostedonthewebsite.Reviewthewholecourse,especiallyChapter16.Reviewandcheckyourcheatsheet.Nightbeforeexam:GOTOBEDEARLY.Setextraalarmssoyouareupontime,andputyourphone(orotheralarm)outofreachandbehindastackofbooks,soyoucan'tswitchito inyoursleep.(Behindstu ,notburied;youneedtohearitwhenitgoeso !)Thursday,Dec19:GetyourselftoBeBu107earlyenoughthatyoucanbeFULLYSET-TLEDby8:55am.Thatis,havewritingimplements,water,last-minutebathroomrun,etc.alltakencareofBEFORE8:55am. CourseWebpage:https://rlbenedetto.people.amherst.edu/math211/FINALEXAM:Thursday,December19,9am{noonBebu10