StateUniversityMath2306/52and2306/53OrdinaryDifferentialEquations
Dr.Dillon
Spring2016
Updated4/26/2016
Prerequisite:CorbetterinCalculusII
Section52:MWF10:00-10:50am,MathBldg(D)112
Section53:MWF11:00-11:50am,MathBldg(D)112
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Test1Blank|Test1KeyTest2Blank|Test2KeyTest3Blank|Test3KeySampleTest1|SampleTest2|SampleTest3|SampleFinalKeystosampletests:1|2|
3 **************************** FINALEXAM:Section52:Monday,May9,2016,10:30-12:30pm FINALEXAM:Section53:Wednesday,May4,2016,10:30-12:30pm Classroometiquette:Pleaserespectthepersonalnatureoflearninginasmall,interactiveclassbyrefrainingfromtheuseofcellphones andotherdistractinggadgets. INSTRUCTOR:Dr.M.DillonOFFICE:MathBldg246OFFICEHOURS:MW12:30-2pm;alsobyappointmentPHONE:4705784977EMAIL:mdillon1@kennesaw.edu COURSEDESCRIPTION:Anintroductiontothetheoryofordinarydifferentialequations(ODEs),methodsofsolvingfirstandhigherorderlineardifferentialequationsandlinearsystems,someapplicationsinthesciencesandengineering,theLaplacetransformanditsapplicationinsolvingdifferentialequationsandlinearsystems,stabilityanalysisandEuler’snumericalalgorithm. TEXT:OrdinaryDifferentialEquations,FromCalculustoDynamicalSystems,VirginiaW.Noonburg,TheMathematicalAssociationofAmerica,2014. Theplanistocover1.1-1.3,2.1-2.4,2.6.1,2.7,3.1-3.5,4.1-4.4,6.1-6.5inthetext. TECHNOLOGY:Nothingspecificisrequiredforhomeworkandnotechnologyispermittedonquizzesandtests.Youmustbeabletosolvesimpledifferentialequationsbyhandandthatincludesanti-differentiationskillsyoulearninCalculusII.Formoreinterestingproblems,usewhateveryouhaveathand.(MathematicaisnowavailabletoallKSUstudentsandthetextgivescodeforDEsolving.Matlabisalsoavailabletostudents.ThislinktakesyoutoapagewithinformationaboutusingMatlabforODEs.) GOALS:pletingthiscoursestudentsshouldbeableto:
1.UsevocabularycorrectlyandcategorizeODEsappropriately.2.FindanalyticandnumericalsolutionsofcertaintypesofODEsbyhand.3.Identifyandsolvecertainapplications,includingspringproblemsandcircuitproblems.4.UnderstandwhenandhowtouseLaplacetransformstosolveODEs.5.Understandbasicideasthatapplytoautonomousequations. ATTENDANCEPOLICY:Classattendanceisrequiredforthiscourse.Studentsaresolelyresponsibleformanagingtheirenrollmentstatusinaclass;nonattendancedoesnotconstituteawithdrawal. GRADING:Yourcoursegradewillbecalculatedbasedontheponents.
1.Twooutofthreein-classtestscounttowards40%ofyourfinalgrade.2.Thefinalexamwillcounttowards40%ofyourfinalgrade.3.Tenoutofapproximately13quizzeswillcounttowards20%ofyourfinalgrade. TESTS:TestsarescheduledforFriday,February12;Wednesday,March16;andWednesday,April20.Thelowesttestgradeisdropped,hence,NOMAKE-UPTESTS. QUIZZES:Quizzeswillbegivenwithorwithoutwarningapproximatelyonceaweek.Quizzeswillbebasedontheassignedhomeworkproblemsandyouwillhaveanopportunityateveryclassmeetingtoaskaboutthehomework.Onlythebest10quizzeswillcounttowardsyourgrade,soapproximately3-5quizgradeswillbedropped,hence,NOMAKE-UPQUIZZES. FINALEXAM:ThefinalisCOMPREHENSIVE.Seethescheduleatofthispage.
Q.AreMAKE-UPSavailablewhenwehaveareallygoodreason?
A.NO,NONE,NEVER---ThereareNOMAKE-UPexamsavailableinthisclass!
WITHDRAWDATE:Wednesday,March2isthelastdaytowithdrawwithagradeof“
W.”(Forcurrentpolicyonthenumberofwithdrawalspermitted,seehttp://catalog.kennesaw.edu/content.php?
catoid=24&navoid=2171#withdrawalfromclasses.) RECORDING
DEVICES:Theuseofanyandallelectronicrecordingdevicesduringclassmeetingsofthiscourseisexpresslyforbidden.Electronicrecordingdevicesinclude,butarenotlimitedto,cellphones,taperecorders,andvideocameras.Undercertaincircumstances,studentswithspecialneedsmayrequestpermissionoftheinstructortorecordclasses.Permissiongrantedunderthesecircumstanceswillbestrictlylimitedandalldetailswillbeinwriting. modations:Anystudentwithadocumenteddisabilityormedicalconditionneedingacademicmodationsof class-relatedactivitiesorschedulesmustcontacttheinstructorimmediately.WrittenverificationfromtheKSUStudentDisabilityServices(e.html)isrequired.NorequirementsexistthatmodationsbemadepriorpletionofthisapprovedUniversitydocumentation.Alldiscussionswillremainconfidential. AcademicDishonesty:Thereisazerotolerancepolicyoncheatinginthiscourse.Theuseofanyelectronicdevices,includingphones,isexpresslyforbiddenduringtestsandquizzes.Every KSUstudentisresponsibleforupholdingtheprovisionsoftheStudentcodeofConduct,aspublishedintheUndergraduateandGraduatecatalogs.TheStudentCodeofConductaddressestheUniversity’spolicyonacademichonesty,includingprovisionsregardingplagiarismandcheating,unauthorizedesstoUniversitymaterials,misrepresentation/falsificationofUniversityrecordsoracademicmalicious/intentionalmisusesputerfacilitiesand/orservices,andmisuseofstudentidentificationcards.IncidentsofallegedacademicmisconductwillbehandledthroughtheestablishedproceduresoftheStudentConductandAcademicIntegritydepartment,whichincludeseitheran“Informal”resolutionbyafacultymember,resultinginagradeadjustment,oraformalhearingprocedure,whichmaysubjectastudenttotheCodeofConduct’sminimumonesemestersuspensionrequirement. CourseSchedulewithHomeworkProblemsSubjecttochange!
Duedatesarenotedtotheleftofeachassignment.Pleasenotethatwehave45meetingsandeverysingleonecounts.Wedonothavetimetowaste.etoclasseverydaywithyourworkprepared. Theremaybemorethanyoucandohere.Trytofinish,butdon’teoverwhelmed.Youshouldspend1-2hrsperdayonhomework.Ifyouworkproblemseveryday,yourendurancewillimprove.Itismostimportanttokeepworking. 1)1/11/16:FIRSTDAYOFCLASS:Review!
2)1/13:Section1.1,p.5:1-21odd3)1/15:Section1.2,p.10:1-11odd,4,12 1/18:MLKDay,Noclasses4)1/20:Section1.3,p.16:physics,mathematics,engineering,ecology5)1/22:Catchup.6)1/25:Section2.1,p.26:1-25odd7)1/27Section2.2,p.34:1-11odd 8)1/29:Section2.3,p.44:1-15odd9)2/1:Catchup.10)2/3:Section2.4,p.49:1-5odd11)2/5:Section2.6.1(Euler’sMethodONLY),p.67:112)2/8:Section2.7,p.75:1-11odd13)2/10:REVIEWDAY14)2/12:TEST1on1.1-1.3,2.1-2.4,2.6.1,2.715)2/15:Havequestionsreadyaboutthetest.Read3.1.16)2/17:Section3.1,p.84:1-17odd17)2/19:Section3.2,p.92:1-5odd18)2/22:Section3.2,p.92:7,8,919)2/24:Section3.2,p.92:11,13,1520)2/26:Section3.3,p.99:1-9odd,1021)2/29Section3.4,p.111:1-13odd 3/2:LastdaytowithdrawfromclasseswithaW.22)3/2:Section3.4,p.111:15-1823)3/4:Section3.4,p.111:19,2024)3/7:Section3.4,p.111:21,23,2525)3/9:Section3.5,p.122:1-5odd26)3/11:Catchup.27)3/14:REVIEWDAY28)3/16:TEST2on3.1-3.529)3/18:Questionsaboutthetest.30)3/21:Section4.1,p.145:1-11odd31)3/23:Section4.2,p.154:1-17odd32)3/25:Section4.3,p.159:1-7odd,833)3/28:Section4.4,p.170:1-13odd34)3/30:Catchup.35)4/1:Section6.1,p.221:1-15odd 4/4-4/8SpringBreak,noclasses36)4/11:Section6.2,p.226:1-17odd37)4/13:Section6.3,p.234:1,2,5,6,11-16,21,2238)4/15:Section6.4,p.246:1-19odd39)4/18:REVIEWDAY40)4/20:TEST3on4.1-4.4,6.141)4/22:Questionsaboutthetest42)4/25:Section6.5,p.256:1-9odd43)4/27:Section6.3,p.234:1,2,5,6,11-16,21,2244)4/29:/laplace-transformation/4-transform-unit-step-function.php Examplesa,b,c;Section6.4,p.246:11-1845)5/2:http://tutorial.math.lamar.edu/Classes/DE/DiracDeltaFunction.aspx Examples1,2;Section6.5,p.256:7,
8 Dr.DillonHomepage|DepartmentofMathematics|KSUHomepage
3 **************************** FINALEXAM:Section52:Monday,May9,2016,10:30-12:30pm FINALEXAM:Section53:Wednesday,May4,2016,10:30-12:30pm Classroometiquette:Pleaserespectthepersonalnatureoflearninginasmall,interactiveclassbyrefrainingfromtheuseofcellphones andotherdistractinggadgets. INSTRUCTOR:Dr.M.DillonOFFICE:MathBldg246OFFICEHOURS:MW12:30-2pm;alsobyappointmentPHONE:4705784977EMAIL:mdillon1@kennesaw.edu COURSEDESCRIPTION:Anintroductiontothetheoryofordinarydifferentialequations(ODEs),methodsofsolvingfirstandhigherorderlineardifferentialequationsandlinearsystems,someapplicationsinthesciencesandengineering,theLaplacetransformanditsapplicationinsolvingdifferentialequationsandlinearsystems,stabilityanalysisandEuler’snumericalalgorithm. TEXT:OrdinaryDifferentialEquations,FromCalculustoDynamicalSystems,VirginiaW.Noonburg,TheMathematicalAssociationofAmerica,2014. Theplanistocover1.1-1.3,2.1-2.4,2.6.1,2.7,3.1-3.5,4.1-4.4,6.1-6.5inthetext. TECHNOLOGY:Nothingspecificisrequiredforhomeworkandnotechnologyispermittedonquizzesandtests.Youmustbeabletosolvesimpledifferentialequationsbyhandandthatincludesanti-differentiationskillsyoulearninCalculusII.Formoreinterestingproblems,usewhateveryouhaveathand.(MathematicaisnowavailabletoallKSUstudentsandthetextgivescodeforDEsolving.Matlabisalsoavailabletostudents.ThislinktakesyoutoapagewithinformationaboutusingMatlabforODEs.) GOALS:pletingthiscoursestudentsshouldbeableto:
1.UsevocabularycorrectlyandcategorizeODEsappropriately.2.FindanalyticandnumericalsolutionsofcertaintypesofODEsbyhand.3.Identifyandsolvecertainapplications,includingspringproblemsandcircuitproblems.4.UnderstandwhenandhowtouseLaplacetransformstosolveODEs.5.Understandbasicideasthatapplytoautonomousequations. ATTENDANCEPOLICY:Classattendanceisrequiredforthiscourse.Studentsaresolelyresponsibleformanagingtheirenrollmentstatusinaclass;nonattendancedoesnotconstituteawithdrawal. GRADING:Yourcoursegradewillbecalculatedbasedontheponents.
1.Twooutofthreein-classtestscounttowards40%ofyourfinalgrade.2.Thefinalexamwillcounttowards40%ofyourfinalgrade.3.Tenoutofapproximately13quizzeswillcounttowards20%ofyourfinalgrade. TESTS:TestsarescheduledforFriday,February12;Wednesday,March16;andWednesday,April20.Thelowesttestgradeisdropped,hence,NOMAKE-UPTESTS. QUIZZES:Quizzeswillbegivenwithorwithoutwarningapproximatelyonceaweek.Quizzeswillbebasedontheassignedhomeworkproblemsandyouwillhaveanopportunityateveryclassmeetingtoaskaboutthehomework.Onlythebest10quizzeswillcounttowardsyourgrade,soapproximately3-5quizgradeswillbedropped,hence,NOMAKE-UPQUIZZES. FINALEXAM:ThefinalisCOMPREHENSIVE.Seethescheduleatofthispage.
Q.AreMAKE-UPSavailablewhenwehaveareallygoodreason?
A.NO,NONE,NEVER---ThereareNOMAKE-UPexamsavailableinthisclass!
WITHDRAWDATE:Wednesday,March2isthelastdaytowithdrawwithagradeof“
W.”(Forcurrentpolicyonthenumberofwithdrawalspermitted,seehttp://catalog.kennesaw.edu/content.php?
catoid=24&navoid=2171#withdrawalfromclasses.) RECORDING
DEVICES:Theuseofanyandallelectronicrecordingdevicesduringclassmeetingsofthiscourseisexpresslyforbidden.Electronicrecordingdevicesinclude,butarenotlimitedto,cellphones,taperecorders,andvideocameras.Undercertaincircumstances,studentswithspecialneedsmayrequestpermissionoftheinstructortorecordclasses.Permissiongrantedunderthesecircumstanceswillbestrictlylimitedandalldetailswillbeinwriting. modations:Anystudentwithadocumenteddisabilityormedicalconditionneedingacademicmodationsof class-relatedactivitiesorschedulesmustcontacttheinstructorimmediately.WrittenverificationfromtheKSUStudentDisabilityServices(e.html)isrequired.NorequirementsexistthatmodationsbemadepriorpletionofthisapprovedUniversitydocumentation.Alldiscussionswillremainconfidential. AcademicDishonesty:Thereisazerotolerancepolicyoncheatinginthiscourse.Theuseofanyelectronicdevices,includingphones,isexpresslyforbiddenduringtestsandquizzes.Every KSUstudentisresponsibleforupholdingtheprovisionsoftheStudentcodeofConduct,aspublishedintheUndergraduateandGraduatecatalogs.TheStudentCodeofConductaddressestheUniversity’spolicyonacademichonesty,includingprovisionsregardingplagiarismandcheating,unauthorizedesstoUniversitymaterials,misrepresentation/falsificationofUniversityrecordsoracademicmalicious/intentionalmisusesputerfacilitiesand/orservices,andmisuseofstudentidentificationcards.IncidentsofallegedacademicmisconductwillbehandledthroughtheestablishedproceduresoftheStudentConductandAcademicIntegritydepartment,whichincludeseitheran“Informal”resolutionbyafacultymember,resultinginagradeadjustment,oraformalhearingprocedure,whichmaysubjectastudenttotheCodeofConduct’sminimumonesemestersuspensionrequirement. CourseSchedulewithHomeworkProblemsSubjecttochange!
Duedatesarenotedtotheleftofeachassignment.Pleasenotethatwehave45meetingsandeverysingleonecounts.Wedonothavetimetowaste.etoclasseverydaywithyourworkprepared. Theremaybemorethanyoucandohere.Trytofinish,butdon’teoverwhelmed.Youshouldspend1-2hrsperdayonhomework.Ifyouworkproblemseveryday,yourendurancewillimprove.Itismostimportanttokeepworking. 1)1/11/16:FIRSTDAYOFCLASS:Review!
2)1/13:Section1.1,p.5:1-21odd3)1/15:Section1.2,p.10:1-11odd,4,12 1/18:MLKDay,Noclasses4)1/20:Section1.3,p.16:physics,mathematics,engineering,ecology5)1/22:Catchup.6)1/25:Section2.1,p.26:1-25odd7)1/27Section2.2,p.34:1-11odd 8)1/29:Section2.3,p.44:1-15odd9)2/1:Catchup.10)2/3:Section2.4,p.49:1-5odd11)2/5:Section2.6.1(Euler’sMethodONLY),p.67:112)2/8:Section2.7,p.75:1-11odd13)2/10:REVIEWDAY14)2/12:TEST1on1.1-1.3,2.1-2.4,2.6.1,2.715)2/15:Havequestionsreadyaboutthetest.Read3.1.16)2/17:Section3.1,p.84:1-17odd17)2/19:Section3.2,p.92:1-5odd18)2/22:Section3.2,p.92:7,8,919)2/24:Section3.2,p.92:11,13,1520)2/26:Section3.3,p.99:1-9odd,1021)2/29Section3.4,p.111:1-13odd 3/2:LastdaytowithdrawfromclasseswithaW.22)3/2:Section3.4,p.111:15-1823)3/4:Section3.4,p.111:19,2024)3/7:Section3.4,p.111:21,23,2525)3/9:Section3.5,p.122:1-5odd26)3/11:Catchup.27)3/14:REVIEWDAY28)3/16:TEST2on3.1-3.529)3/18:Questionsaboutthetest.30)3/21:Section4.1,p.145:1-11odd31)3/23:Section4.2,p.154:1-17odd32)3/25:Section4.3,p.159:1-7odd,833)3/28:Section4.4,p.170:1-13odd34)3/30:Catchup.35)4/1:Section6.1,p.221:1-15odd 4/4-4/8SpringBreak,noclasses36)4/11:Section6.2,p.226:1-17odd37)4/13:Section6.3,p.234:1,2,5,6,11-16,21,2238)4/15:Section6.4,p.246:1-19odd39)4/18:REVIEWDAY40)4/20:TEST3on4.1-4.4,6.141)4/22:Questionsaboutthetest42)4/25:Section6.5,p.256:1-9odd43)4/27:Section6.3,p.234:1,2,5,6,11-16,21,2244)4/29:/laplace-transformation/4-transform-unit-step-function.php Examplesa,b,c;Section6.4,p.246:11-1845)5/2:http://tutorial.math.lamar.edu/Classes/DE/DiracDeltaFunction.aspx Examples1,2;Section6.5,p.256:7,
8 Dr.DillonHomepage|DepartmentofMathematics|KSUHomepage
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