AHandbookforCurrentGraduateStudents

(ForAcademicYear2017–2018)

DepartmentofMathematicalSciencesUniversityofWisconsin-Milwaukee

TheDepartment’sGraduateCommitteewillupdatethisHandbookeachacademicyear.Whileeveryattemptwillbemadetoupdatetherelevantinformationatvariousdepartmentalwebpagessimultaneously,itisinevitablethatsomeoftheinformationatthesewebpagesdonotgetupdatedtimely.Ifyouhavequestions,pleasecontacttheAssociateChairfortheGraduateProgram.

TableofContents

1. Overview2. AdministrationoftheGraduateProgram3. WhotoContactifYouHaveQuestions4. GeneralPoliciesandRegulations4.1GPARequirement4.2CreditRequirement4.3TransferCredit4.4ChangeProgramofStudy4.5PromotionfromM.S.toPh.D.4.6DismissalandAppealofDismissal

5. FinancialSupport5.1AssistantshipandFellowship5.2Awards5.3TuitionRemission5.4SummerSupport5.5FinancialSupportandAwardAuthority5.6MaximumNumberofYearsofSupport5.7Ph.D.MilestoneProgressRequirementforSupport

6. TeachingAssistantPoliciesandRegulations6.1LinktoUWM’sGraduateAssistantPoliciesandRegulations6.2EnglishProficiencyforInternationalTeachingAssistants6.3DepartmentalPolicies6.4LinktoMAAMathTAResource

7. OtherDepartmentalAwards7.1GraduateStudentConferenceTravelAwardProgram7.2MorrisandMiriamMardenAwardinMathematics7.3ErnstSchwandtTeachingAward7.4DhirendraSikdarScholarshipinAtmosphericScience7.5MarkLawrenceTeplyAward

8. Master’sRequirementsA. StandardMathematicsOptionB. IndustrialMathematicsOptionC. AtmosphericSciencesOptionD. StatisticsOption

E. ActuarialScienceOptionF. FoundationsofAdvancedStudiesOptionDualMaster’sDegree

9. Ph.D.Requirements9.1MajorProfessorAdvisor

9.2CourseofStudy9.3ForeignLanguage9.4ComputerProficiency9.5Residence9.6DoctoralPreliminaryExamination9.7DoctoralDissertationProposalHearing9.8Dissertation9.9DissertationDefense9.10TimeLimit

9.11MinorAreaforOtherPh.D.Majors10. MSExamInformation11. MSGraduationProcedure12. Ph.D.MilestoneProcedure12.1PreliminaryExam

12.2ProposalHearing12.3ApplyforDissertatorStatus12.4ApplyforDissertationDefenseandGraduation13. GraduateProgramForms14. Courses14.1AtmosphericSciencesCourses14.2MathematicalSciencesCourses14.3MathematicalStatisticsCourses

1.OverviewTheDepartmentofMathematicalSciencesoffersgraduateprogramsofstudyinmathematicsandatmosphericscienceswithspecializationsinthefieldsofalgebra,analysis,topology,appliedmathematics,probability,statistics,actuarialscience,atmosphericscience,andindustrialmathematics.Theprogramsofstudyatthemaster’slevelaredesignedtosuitboththestudentintendingtocontinuetowardaPh.D.aswellasthestudentwhowishestobeginaprofessionalcareeruponcompletionofthemaster’sprogram.ThestudentinthePh.D.programmayprepareforacareerinteachingatthecollegelevelandforacareerinresearchintheacademic,industrial,government,orbusinesscommunities.

2.AdministrationoftheGraduateProgram

TheAssociateChairfortheGraduateProgramandtheGraduateCommitteeareresponsiblefortheprograms.TheAssociateChairfortheGraduateProgramandtheGraduateProgramAssistantsmanagetheday-to-dayoperations.

3.WhotoContactifYouHaveQuestions

GraduateStudyRelatedIssues(selectionofcourses,checkingdegreerequirements,transferofcredits,etc.):TheAssociateChairfortheGraduateProgram.

TeachingRelatedIssues(add/dropstudentsfromyourclasses,verifyingyourstudents’prerequisites,etc.):YourCourseCoordinator(ifyouhaveone),ortheAssociate/AssistantChairforUndergraduateStudy.AsaTA,yoursupervisoristheDepartment’sChair.

InternationalStudentIssue(visaetc.):CenterforInternationalEducationorKatieWehrheim.

4.GeneralPolicies&Regulations

UWMGraduateSchoolAcademicPoliciesandProcedures

4.1GPARequirement

UWMrequiresaminimumofcumulative3.0GPA(4.0basis)inallworktakentowardthedegree.Thestudentwillreceiveanacademicwarningifthesemestergradepointaveragefallsbelow3.0.Thestudentwillreceivea“GraduateDean’sOKRequiredtoContinue”ifthecumulativegradepointaveragefallsbelow3.0.Ifthe

semesterGPAandcumulativeGPAarebothbelow3.0,theGraduateDean’sOKwilltakeprecedenceoveranAcademicWarning.ThestudentwillbepreventedfromfurtherregistrationunlessthestudentpetitionstheGraduateSchoolandreceivesapositiverecommendationfromthestudent’sgraduateprogramunit.

4.2CreditRequirement

Graduatestudentsenrolledforaminimumof8creditspersemesteror6creditsduringasummersessionareconsideredfulltime,withtheexceptionsdescribedbelow.Fellowshiprecipientsaresubjectedtodifferentfellowshiprequirementsdependingonthefellowships;refertotheawarddescriptionsofthefellowships.TeachingandResearchAssistants(TAsandRAs)whoareemployedforone-third(33%)timeormoremustenrollforaminimumof6creditspersemester.Theyareconsideredfull-timewiththisminimumenrollment.

Inaddition,theDepartmentofMathematicalSciencesrequiresitsgraduatestudentswhoareemployedfor33%timeormoreasTAsorRAstocompleteaminimumof15creditsofgraduatecoursesofferedbytheDepartmentofMathematicalSciencesperacademicyear.

4.3TransferCredit

Master’s:Themaximumnumberoftransfercreditsallowableisthehigherof(a)12semestercreditsor(b)40%ofthetotalnumberofcreditsrequiredforgraduation.Toqualify,theworkmustmeetthefollowingcriteria:

• Graduatelevel,fromanaccreditedinstitution.• TakenwithinfiveyearsofadmissiontoyourUWMdegreeprogram.• Nothavebeenusedtomeetpreviousdegreerequirements.• GradeofBorbetter(B-isnotacceptable). • ApprovedbytheAssociateChairfortheGraduateProgram.

Totransfercredits,thestudentmustfirstdiscussthetransferabilityofthecreditswiththeAssociateChairfortheGraduateProgram,andthensubmitaGraduateTransferCreditEvaluationFormtotheGraduateSchoolforprocessing.

Ph.D.:IfyouearnedaMasterdegreebeforeenrollinginthePh.D.programinourDepartment,youmayqualifyforanautomatic27credittransfer.ContacttheAssociateChairfortheGraduateProgramformoreinformation.

4.4ChangeProgramofStudy

Tochangetheprogramofstudy,suchaschangefromanM.S.programinPhysicstoanM.S.programinMathematics,thestudentneedstoformallyapplyforadmission

tothegraduateprogramintowhichthestudentwishestochange.ThereisnotransferbetweenprogramsatUWM.WithintheDepartmentofMathematicalSciences,therearethree(3)distinguishedgraduateprogramsattheM.S.level:ActuarialScience,AtmosphericSciences,andMathematicalSciences.ThoughallgraduatestudentsintheseprogramsarestudentsintheDepartmentofMathematicalSciences,inordertochangetheprogramofstudyamongtheseprograms,astudentmustapplyforadmissiontotheprogramintowhichthestudentwishestochange.However,thisdoesnotapplytochangetheoptionsofstudywithintheMathematicalSciencesgroupofoptions(StandardMathematics,IndustrialMathematics,Statistics,FoundationsofAdvancedStudies,andDualMaster’sDegree),asstudentscanchange(orselect)theiroption(s)withoutfurtherapplication.However,anoptionshouldbedecidedearlysothestudentcanfollowtherequirementstocompletethedegreewithinthetimelimits.SeeMaster’sRequirementandMaximumNumberofYearsofSupportforfurtherinformation.TherearetwograduateprogramsatthePh.D.level:AtmosphericSciencesandMathematicalSciences.AchangeoffieldofstudywithinMathematicalSciencesdoesnotrequireaformalapplicationbutneedstobeapprovedbythestudent’sPh.D.advisor.SeeUWMGraduateSchoolAcademicPoliciesandProceduresforfurtherinformation.4.5PromotionfromM.S.toPh.D.AnM.S.studentwhowishestopursueaPh.D.degree(inthesameoradifferentprogram)needstoapplyforadmissiontothePh.D.programwithoutpayingtheapplicationfee.ThestudentsubmitstheapplicationinthesemesterthestudentexpectstocompletetheM.S.degree,andtheDepartmentalAdmissionCommitteemakesthedecisiononwhetherornotanadmissionisgranted.AnM.S.studentwhoispromotedtothePh.D.programmustbeconferredtheM.S.degree(thedegreeconferreddateisshownonthestudent’stranscriptinPAWS)beforeofficiallybecomesaPh.D.student.4.6DismissalandAppealofDismissal

StudentswhoarenotmakingsatisfactoryprogresstowardsfulfillingtherequirementsforaMaster'sorPh.D.degreearesubjecttodismissalfromtheprogram.TheAssociateChairfortheGraduateProgramandtheGraduateCommitteemakethisdecisionandheartheappeals.

5.FinancialSupport

FinancialsupportsintheformofFellowships,TeachingAssistantships,andResearchAssistantshipsareawardedonacompetitivebasis.Allapplicantstothe

programareautomaticallyconsideredforeachofthesetypesofawards.Awardsarerenewableforstudentsmakingsatisfactoryprogressintheirdegreeprograms.Inatypicalyear,20-30oftheseawardsaregiventonewstudentsenteringtheprogram.Inaddition,studentsmayapplyforotherformsoffinancialaidsuchasloansbycontactingtheDepartmentofFinancialAidorathirdparty.

5.1AssistantshipandFellowship

• GraduateTeachingAssistants:MoststudentsaresupportedasTeachingAssistants(TAs).Thesehalf-timeteachingpositionsincludearemissionofalltuitionandtheopportunityforhealthinsurancecoverage.TheTAstipendforthe2017-2018academicyearrangedfrom$12,850to$16,595dependingonthedegreeprogramandprogresstowardthedegree.

• Research/ProjectAssistantships:Somefacultymembershavesupportforresearchassistants(RA)orprojectassistants(PA)aspartoftheirresearchfunding.Thesepositionspayasemester,academicyear,orfull-yearstipend,haveremissionoftuition,andofferhealthinsurance.Thedutiesofthepositionsaredeterminedbythefacultymembers.Thesefacultymembersselectwhotheywantfortheirpositionsfromamongcurrentstudentsandadmittedapplicants.Thereisnoseparateapplicationforthesepositions.

• GraduateSchoolFellowships:StudentwithexcellentrecordsmayapplyforaGraduateSchoolFellowship.TheUWMGraduateSchoolcurrentlyofferstwofellowshipsforfull-timestudy:TheDistinguishedGraduateStudentFellowship,whichisfornewandcontinuingUWMgraduatestudents;andtheDistinguishedDissertationFellowship,whichisforcurrentUWMPh.D.studentswhohaveeitherachieveddissertatorstatusorwillachievedissertatorstatusduringtheawardyear.Thesefellowshipspaya9-monthstipend,remitalltuition,offerhealthinsurance,provideamodesttravelstipend,anddonotrequireanyteachingduringtheyear.Thefellowshipsarenotrenewable.ApplicationdeadlineisJanuary15eachyear.Formoreinformation,visit

http://uwm.edu/graduateschool/types-of-funding/

• AdvancedOpportunityProgram(AOP)Fellowships:Thesefellowshipsareavailabletoqualifiednewandcontinuinggraduatestudentswhoaremembersofgroupsunderrepresentedingraduatestudy,studentswithdisabilities,and/orstudentswhoarefirst-generationcollegegraduateswithdemonstratedfinancialneed.ThisfellowshipisrenewableforuptotwoyearsforM.S.andthreeyearsforPh.D.students.Moreinformationisavailableattheprogramwebsite.ApplicationdeadlineisJanuary15eachyear.

5.2Awards

TheDepartmentusestheChancellor’sGraduateStudentAwardandtheResearchExcellenceAwardassupplementstoothersupporttoformawholepackageoffinancialsupportforthestudent.Shouldthefinancialsupportofferchange,suchaschangingfromaTeachingAssistantshiptoaResearchAssistantship,thedepartmentmayalsochangetheseawardsinthenewfinancialsupportoffer.

• Chancellor’sGraduateStudentAward:Dependingonfundavailability,thedepartmentoffersChancellorGraduateStudentAward,rangingfrom$1,000to$6,000assupplementstothestudent’sothersupport.Theseawardsarerenewableforuptofive(5)years,dependingonsatisfactoryprogressbeingmadetowardthedegree.Noapplicationisnecessary;everyapplicantorcurrentgraduatestudentisautomaticallyconsideredfortheaward.

• ResearchExcellenceAward:TheResearchExcellenceAward(REA)programisdesignedtoincentivizegrowthofextramuralsupportforgraduatestudents.Thedepartmentoffersthisawardtohigh-quality,talentedgraduatestudents.Subjecttofundavailability,newapplicantsandcurrentgraduatestudentswithexcellentrecordsareofferedREAassupplementstotheirothersupport.Noapplicationisnecessary;everyapplicantorcurrentstudentisautomaticallyconsideredfortheaward.Preferencemaybegiventograduatestudentswhohavemadeexcellentprogressinresearch.

5.3TuitionRemission

Graduateassistantswhoholdappointmentsat33%offulltimeormoreareeligiblefortuitionremissionforthesemester(s)ofappointment.Coursescoveredbytheremissionmustberelevanttothestudent’sprogramofstudy.

Noteonfees:Paymentofsegregatedfeesorspecialcoursefeesaretheresponsibilityofthestudent.GraduateAssistantscanarrangeforthepaymentofthesefeesthroughpayrolldeduction.

5.4SummerSupport

Summersupport,usuallyintheformofTA,isavailableuponapplicationsanddependsontheavailableTApositions.TheDepartmentmayuseotherfundsinadditiontoTApositionstoprovidesummersupportsforthestudent.PreferenceisgiventoPh.D.students.TheDepartmentsendsoutsummersupportrequestformstoallcurrentstudentseachspringsemester.

5.5FinancialSupportAwardAuthority

TheAssociateChairfortheGraduateProgramandtheGraduateCommitteeoverseetheawardoffinancialsupportsforallgraduatestudents.

TheChairoftheDepartmentappointstheTAsupontherecommendationoftheGraduateCommittee.TheChairoftheDepartmentalsosupervisestheTAs.TheAssociateChairfortheGraduateProgram,withinputfromtheGraduateCommittee,allocatestheChancellor’sGraduateStudentAwardandtheResearchExcellenceAwardfunds,andisresponsiblefornominatinggraduatestudentsforGraduateSchoolFellowships.

FacultymemberswhohaveRAfundsintheirresearchgrantsselectandawardtheirRAs.

5.6MaximumNumberofYearsofSupport

Themaximumnumberofyearsofdepartmentalfinancialsupports(thetotalnumberofyearsofTA,RA,andotherfellowships)is:

• two(2)fortheM.S.student;and• seven(7)forthePh.D.student,regardlesswhetherthestudent’sinitialenrollmentisintheM.S.orthePh.D.program.

5.7Ph.D.MilestoneProgressRequirementforSupport

MakingsatisfactoryprogressinthedegreeprogramisanecessaryconditionforreceivingfinancialsupportfromtheDepartment.ThestudentinthePh.D.programisexpectedtoachievethefollowingmilestones(seePh.D.MilestoneProceduresinthisHandbookformoreinformation):

1. PassingthePh.D.PrelimExaminationby

• theendofthethirdacademicyearifthestudentwasadmittedintothePh.D.programdirectly;

• theendofthefourthacademicyear(includingtheyearsintheM.S.program)ifthestudentwasinitiallyadmittedintotheM.S.program.

2. Achievingdissertatorstatusbythebeginningofthesixthacademicyearfromtheinitialenrollment,regardlesswhetherthestudent’sinitialenrollmentisintheM.S.orthePh.D.program.

Usually,studentsinthePh.D.programcanachievethesemilestonesayearearlierthanthedeadlines.ItispossibleforawellpreparedPh.D.studentwhohasanM.S.degreefromanotherinstitutiontopasstheprelimafteroneyearofstudyinourprogram.

6.TeachingAssistantPolicies&Regulations

6.1GraduateSchool’sGraduateAssistantPoliciesandProcedures

Itisthestudent'sresponsibilitytoreadtheGraduateSchool’sGraduateAssistantPoliciesandProcedures.Thesepoliciesandproceduresareavailableat:

http://uwm.edu/graduateschool/graduate-assistant-policies-procedures/

6.2EnglishProficiencyforInternationalTeachingAssistantsTheUWMInternationalTeachingAssistantAssessment(MITAA)isarequirementforsomeinternationalteachingassistantswhoarenon-nativeEnglishspeakersandwhowillbeassignedclassroomdutiesaspartofagraduateteachingassistantship.ADepartmentrepresentativemustbeavailabletoparticipateintheassessment.ThereisnochargefortheMITAA.NotallprospectiveinternationalteachingassistantsmusttaketheMITAA.Theassessmentgenerallyisnotrequiredifthestudenthasoneofthefollowingrecentstandardizedtestscores:

• 23orbetterontheSpeakingsectionoftheinternet-BasedTOEFL(iBT)• 7.0orbetterontheSpeakingsectionoftheIELTS

TheassessmentalsomightnotberequiredforstudentswhoaregraduatesofanAmericanuniversityorcollege.Formoreinformation,contacttheESLProgramsOffice.

6.3DepartmentalPolicies

UndergraduateteachingisoneoftheprimaryresponsibilitiesoftheDepartmentofMathematicalSciences;graduatestudentsplayanimportantroleinthisfunction.Asapartoftheirtraining,andasanecessaryconditionformostformsoffinancialaid,allteachingassistantsareinvolvedwithdepartmentalteachingactivitieseachsemestertheyareinresidence.

BalancingyourrolesasastudentandaTAcanbedifficult,andweareheretohelpyounavigateissueslikethese.PleasedonothesitatetocontactanymemberoftheDepartmentadministrationifyouhavequestions.

TAResponsibilities:

AsaTAintheDepartmentofMathematicalSciencesattheUniversityofWisconsin-Milwaukee,yourresponsibilitiesare:

• teachinglecturesand/ordiscussionsectionsinaccordancewiththeoutlineanddirectivesasprovidedbyyourcoursecoordinator(ifyouhaveone)

• arrivingtoyourclassroominatimelymannerandteachingforthedesignatedperiodoftime

• familiarizingyourselfwithcoursematerialandpreparinginadvanceforfutureclasses

• managingtheclassroomtofosterapositivelearningenvironment• managingonlinehomeworkassignments(iftheyarebeingused)• holdingofficehoursforthreehoursperweekonatleasttwodifferentdays• attendinglectures(ifrequestedbyyourcoordinator)• attendingmeetingsheldbyyourcoordinator• proctoringandgradingquizzesandexams,includingmake-upexams• maintainingandmanaginggradedataforeachofyourstudents• enteringgradesinPAWSforeachofyourstudents• submittingfinalexamsandgradesheetstothedepartmentstaff(JaneMiles)• attendanceatboththeuniversityanddepartmentTAorientationsessions• attendanceatongoingdepartmentTAprofessionaldevelopmentactivities• forthosewhohavenottaughtfortheUWMMathDepartmentbefore,

enrollmentinandsatisfactorycompletionofMATH799–TeachingMathematicstoUndergraduatesunderthesupervisionofDrs.KohlmetzorVanHarpen

Inaddition,thedepartmentsendsoutemailsthatcontaininformationonclasspolicies,procedures,andimportantdates,etc.,toallinstructionalstuffmembersofthedepartmenteachsemester.Pleasereaditcarefullyandkeepacopyforyourreference.

Moregeneralguidelines:

Teachingtips:

1) Knowthesubjectmatterofyourlessonsverywell.Teachyourselfanythingthatisnew.

2) Visityourclassroombeforethesemesterstartstoknowitslocationandifithasablackboard(chalk)orwhiteboard(markers).

3) Getstudentstotalk,notjustraisehands,ondayone.Itishardtofixlateriftheydon’t.

4) Dressnicelyondayonetomakeacleardistinctionbetweenyouandyourstudents.Alwayspracticegoodhygiene(dailyshowers;teethbrushed;cleanclothes).

5) Alwayswriteonaboardstartingfromthefarleftsideratherthaninthemiddle.

6) Ifsomethingisimportant,writeitontheboard(e.g.,thenameofanewtopic).Ifyouspeakforawhileandwritenothingontheboard,nothingwillgoinstudent’snotes!

7) Lookatstudentsmorethantheblackboard.Remembertoturnaroundandfacetheclass.

8) Donotlectureformorethan15minuteswithoutinjectinganalternativeactivity(e.g.,havingthestudentsworkonaproblem,ideallyinpairs).

9) Illustratenewideaswithexamples(wouldn’tyoulikeyourteacherstodothistoo?).

10) Workoutyourexamplesbeforeclassanddouble-checkyourcalculations.11) Conveyinterestandconfidenceinwhatyou’resaying!Ifitcomesacrossthat

you’reboredorconfusedaboutthelesson,yourstudentswillstoppayingattention.

12) Whenyouasktheclassifthereareanyquestions,wait(perhapscountto5slowlyinyourhead)beforemovingon.Timegoesslowerthanyouthinkatthefrontoftheroom.

13) Ifastudentasksaquestionormakesacomment,don’tsuggestitisdumbevenifitconveysanelementarymisunderstanding.Wehaveallmisunderstoodsimplethings.

14) Ifyoutellastudent“Idon’tknow,”followupwith“I’llfindout.”Andthenfindout.

15) Donotyellatormakefunofstudents.It’shardtoregaintheirrespectonceitislost.

Whattodo,administratively:

1) Communicate!Replyinatimelymannertoemailsfromcoordinators,otherinstructors,otherTAs,andstudents.Inparticular,youareexpectedtocheckyouremailregularly(atleasttwiceaday).

2) Knowdatesandtimesofexams,andbeheretoproctorandgrade;gradingmaybedoneatacommontime.Markexamweeksonyourcalendaranddonotgoawaythoseweeks.Inanemergencyitisyourdutytofindasubstitutethatmeetstheinstructor’sapproval.

3) Recordexamandquizgradesbeforereturninganyexamsorquizzestothestudents.

4) SpeakwiththecoursecoordinatororotherTAsifyouhavequestionsaboutthecourse.

5) Speakwiththecourseinstructorifyouhaveconcernsaboutanyofyourstudents,especiallyifanystudentmissesclassforaweekorifyoususpectstudentcheating.

6) Ifyouareunfamiliarwithatopicinthecourse,reviewitbeforeitiscoveredinclass.

7) Startclassontime,endclassontime.8) Tellstudentsyourofficehoursandtrytoinclude“byappointment”asan

option.9) Keepyourdooropenduringofficehours,andleaveanoteonthedoorifyou

goawaybriefly.10) Maintainaprofessionalrelationshipwithstudents;ignoreanyFacebook

friendrequests.

Whatnottodo,administratively:

1) Donotdisappear.2) DonotmissanyTAmeetingswithouthavingadiscussioninadvancewith

thecoordinator.3) Donotscheduletravelthatwilltakeyououtoftownwhileyouhaveteaching

dutieswithoutinformingboththedepartmentadministrationandthecoursecoordinatorwellinadvance.

4) Donotcutspecialdeals(e.g.,ongrades)withstudentsbeforespeakingtothecoursecoordinator.

5) Donotacceptexcusesformissingmajorevents(e.g.,amidterm)withoutdocumentation.Ifsomethingisquestionable,askthecoordinator.Thecoordinatorsetthepolicyforthecourseandtheultimatedecisionregardingexcuseslieswiththem!

6) Donotleaveyourphone’sringtoneoninclass.7) Donotwaituntilthelastminutetomakecopiesofaquiz;thecopymachine

maybebrokenormaybebeingusedbyseveralotherinstructors!

6.4LinktoMAAMathTAResource

TheMathematicalAssociationofAmericahasdevelopedanextensivehandbookforMathematicsTeachingAssistants.WestronglyrecommendthatallTeachingAssistantsreadthishandbookanduseitasareferenceoutliningaspirationsforeffectiveinteractionsintheclassroom.

http://www.maa.org/programs/students/student-resources/a-handbook-for-mathematics-teaching-assistants

7.OtherDepartmentalAwards

7.1GraduateStudentConferenceTravelAwardProgram

TheDepartmentofMathematicalSciencesTravelAwardprogram,subjecttotheavailabilityofdepartmentalfunds,offerslimitedfundingtoourfulltimemaster’sanddoctoralstudentsforpresentingatand/orattendinggraduateprogram-relatedconferences.Suchactivitiesareanimportantpartoftheprofessionaldevelopmentofgraduatestudents,offeringopportunitiestoestablishprofessionalnetworks,contactsforcollaborativeresearch,andsourcesofpotentialfutureemployment.TheDepartmenttypicallysupportsonetripperstudentperacademicyear.

Eligibility

• Full-timegraduatestudentintheDepartmentofMathematicalSciencesatUWM

• Travelmustbediscussedwithandapprovedbythestudent’sadvisor• Studentsmustattempttoapplyforfundingfromothersources,suchastheUWMGraduateSchoolTravelSupportProgram

• Submitapplicationpriortotheconference

Application

Studentsareencouragedtosubmitapplicationsatleast2monthsbeforetheevent.Submitapapercopyofeachofthefollowing:

1. Departmentalapplicationform2. Proofofapplicationofadditionalsupport3. TravelApprovalRequests(2Forms):CampusTravelForm&L&STravelForm

Ifpresentingattheconference,attachaprintedcopyoftheabstractyouarepresentingfromtheconference’swebsite.

SelectionProcess

Preferencewillbegivento:

• Studentspresentingataconference(eitheroralorposter).• Studentswhohavenotreceivedadepartmentconferencetravelawardbefore.

TravelGuidelines

AwardeesmustcomplywiththeStateandcampustravelpoliciesandproceduresandanyotherDepartmentinstructions.StudentsplanningtodrivepersonalvehiclesorrentalcarsmustberegisteredandauthorizedbyUWM.SeetheDriversandVehiclesWebsite.

7.2MorrisandMiriamMardenAwardinMathematics

TheMorrisMardenGraduateAwardwillbegivenforamathematicalpaperofhighqualitywithrespecttobothexpositionandmathematicalcontent.ThepaperneednotbewrittenspecificallyfortheMardenAward;papersoriginallywrittenforcoursework,independentstudy,professionalreports,dissertation,orotherreasonsareacceptable.

ApplicantsmustbeUWMgraduatestudentsandshouldsubmit

1. aPDFfileofthepaperand2. aletterofsupportfromafacultymemberdescribingtherelevanceandintellectualmeritsofthepaper.

Thelengthofthepaperisexpectedtobebetween10and25pages,buttheselimitsarenotstrict.

StudentswillreceiveemailnotificationonhowtoapplyfortheawardinspringfromtheawardcommitteeChair.

7.5ErnstSchwandtTeachingAward

TheDepartmentofMathematicalSciencesannuallyrecognizesdemonstratedoutstandingteachingperformancebyMathematicalSciencesGraduateStudentTeachingAssistantsthroughtheErnstSchwandtAward.

NominationsareacceptedfrommembersoftheDepartmentofMathematicalSciences(faculty,TAs,lecturers,staff);self-nominationsareaccepted.

Tonominatesomeonefortheaward,submitaletterofnominationdescribinghowthenomineemeritstheaward.

StudentswillreceiveemailnotificationonhowtoapplyfortheawardinspringfromtheawardcommitteeChair.

7.6DhirendraSikdarScholarshipinAtmosphericScience

TheDhirendraSikdarMemorialScholarshipFundwasestablishedin1989tosupportgraduatestudentsintheatmosphericsciencesmastersordoctoralprograms.ThescholarshipwasestablishedtohonoraformerUWMfacultymemberwithakeeninterestinmeteorology.Acommitteeoffacultymemberswithinthedisciplinewillselectstudentsforthisscholarshipbasedonthequalityoftheiroverallacademicrecord,includinggradepointaverage,researchandotheraccomplishments,andtherecommendationoffacultymembers.

StudentswillreceiveemailnotificationonhowtoapplyfortheawardinspringfromtheawardcommitteeChair.

7.7MarkLawrenceTeplyAward

TheDepartmentofMathematicalSciences’MarkLawrenceTeplyawardisdesignedtorecognizestudentswhoshowremarkablepotentialintheirresearchfields.TheawardisamemorialofProfessorTeply’s(b.1942-d.2006)commitmenttothegraduateprogram.Alongwiththisrecognition,winnersareawardedfundingtobespentonbooksintheirchosenfieldofresearch.TheawardishopedtobegivenouteachacademicyearintheDepartmentofMathematicalSciencesattheUniversityofWisconsin-Milwaukee.Bookpurchasesmustbearrangedthroughthedepartment’sstaffduringthesixweeksfollowingthespringawardsceremony.

Full-timegraduatestudentsintheUWMDepartmentofMathematicalScienceswhohavereacheddissertatorstatus,buthavenotyetdefendedtheirthesesareeligibletosubmitaonepagedescriptionofthebooksintheirfieldwhichtheywouldmostliketoaddtotheirownreferencelibraries.Applicantsareexpectedtobeingoodacademicstanding,andhaveawelldefinedresearchfocus.

Thismeritbasedawardishighlycompetitive.Winnersmustdemonstrateoutstandingpotentialasresearchersinthemathematicalsciences.Somespecificcriteriaconsideredincludethefollowing.

1. Writtenstatementofapplication(seeabove)2. ReferencefromagraduatefacultymemberintheDepartmentofMathematical

Sciences3. GraduateGPA4. Scholarlyprogress

ApplicationProcedure

SubmitthefollowingbyApril1totheawardcommitteeChair:

1. writtenstatementofapplication;2. anunofficialcopyofyourgraduatetranscripts;and3. thenameofagraduatefacultymemberintheDepartmentofMathematical

Scienceswhomyouwouldwanttheselectioncommitteetocontactforarecommendation.

StudentswillreceiveemailnotificationonhowtoapplyfortheawardinspringfromtheawardcommitteeChair.

8.Master’sRequirements

Sixoptionsforthemaster’sdegreeareoffered:thestandardmathematicsoption(A),theindustrialmathematicsoption(B),theatmosphericsciencesoption(C),thestatisticsoption(D),theactuarialscienceoption(E),andthefoundationsofadvancedstudiesoption(F).

Inadditiontothesesixoptions,theDepartmentandtheDepartmentofTechnomathematicsofFachhochschuleAachen(FHA),Germany,haveaDualMaster’sDegreePrograminMathematics.ThestudentsenrolledinthisprogramwillbeabletoearnMaster’sdegreesfrombothinstitutionsuponcompletionofthecommoncourserequirements.

StudentswhoplantocontinueforaPh.D.degreewithafocusonmathematics/statisticsshouldelectanoptionfromoptionsA,B,D,andF,orthedualmaster’sdegreeoption;thosewhoseekthePh.D.inatmosphericsciencesshouldelectoptionC.

A.StandardMathematicsOptionMajorProfessorasAdvisorThestudentmusthaveamajorprofessortoadviseandsupervisethestudent’sstudiesasspecifiedinGraduateSchoolregulations.TheenteringgraduatestudentisassignedatemporaryadvisorbytheAssociateChairfortheGraduateProgram.CreditsandCoursesMinimumdegreerequirementis30or36credits,dependinguponwhichoptionthestudentchooses:either30creditsfromMathandMthStatcourses,atleast12creditsofwhicharenumbered700orabove;oratleast36creditsinMathandMthStatcoursesopenforgraduatecredit.Underthe36-creditoption,nomorethan12creditsbelowthe500levelfromwithintheDepartmentofMathematicalSciencescanbecountedasprogramcreditsrequiredforthedegree.Underthe30-creditoption,upto9creditsmaybeinapprovedcoursesfromoutsidetheDepartment.Underthe36creditoption,upto12creditsmaybetakeninapprovedcoursesfromoutsidetheDepartment.ThesisAthesisisoptional.AstudentchoosingthethesisoptionmustenrollinMath790.Amaximumof3creditsofthesismaybecountedtowardthedegreerequirements,however,thesiscreditscannotbeusedtosatisfythe700andabovecoursecreditrequirement.Anacceptablethesiswillrepresentanoriginalcontributionandmayinvolveapplications,anovelexposition,orcomputationalaspectsofamathematicalproblemortheory.Thestudentmustpassanoraldefenseofthethesis.ExaminationorProjectEachstudentwhodoesnotelectthethesisoptionmustsatisfyoneofthefollowingrequirements:(a)Passawrittencomprehensiveexamination.SeeM.S.ExamInformationinthisHandbookformoreinformation.

(b)Presentasatisfactoryoralandwrittenreportonacomprehensiveprojectdoneunderthesupervisionofafacultyadvisor.Theprojectoptionisopenonlytostudentswhocompletethe36creditgraduationrequirement.Studentselectingtheprojectshouldregisterfor1to3creditsoftheMaster’sSeminar791.StudentsplanningtocontinueforaPh.D.shouldselectthewrittencomprehensiveexaminationoption.TimeLimitUnderthe30creditoption,thestudentmustcompletealldegreerequirementswithinfive(5)yearsofinitialenrollment.Underthe36creditoption,thestudentmustcompletealldegreerequirementswithinseven(7)yearsofinitialenrollment.B. IndustrialMathematicsOption

ObjectiveTheobjectiveofthemaster’sprograminindustrialmathematicsistoenablestudentstoacquirethefundamentalsofappliedmathematicsinareasofclassicalandnumericalanalysis,differentialequationsanddynamicalsystems,andprobabilityandstatistics.Atthesametime,theconnectionofthesefieldstomodelingofphysical,biological,andengineeringphenomenawillbestressedbyrequiringcreditsoutsideoftheDepartmentofMathematicalSciences.Studentsaretoobtainpracticalexperienceinmathematicalmodelingandanalysisduringaninternshiporindustrialprojectthatwillculminateinathesis.MajorProfessorasAdvisorThestudentmusthaveamajorprofessortoadviseandsupervisethestudent’sstudies.TheenteringgraduatestudentisassignedanadvisorbythechairoftheIndustrialMathematicsCommittee.Dependingonthethesistopic,thestudentmaylaterchangeadvisors.GeneralRequirementsAstudentmusthavecompleted,eitherpriortoenteringtheprogramorbythetimeofgraduation,coursesinadvancedcalculus,numericalanalysis,andordinarydifferentialequations.Inaddition,studentsmustcompletecoursesinvolvingFourierseries,linearalgebra,linearprogramming,mathematicalmodeling,partialdifferentialequations,probability,andcalculus-basedstatistics.CreditsandCourseWork

Atleast36graduatecreditsinGorU/GcoursesatUWMarerequired,subjecttothefollowingregulations.Astudentmusthave:1. Atleast18creditsfromthelistofapprovedindustrialmathematicscourses,

includingMath701,715,andatleast6additionalcreditsatorabovethe600level.

2. Atleast6upperlevel(300orabove)creditsofacoherentsetofcourses,approvedbytheadvisor,inanapplicationarea(e.g.,physics,engineering,business)outsideoftheDepartment.Studentsalreadyproficientinanapplicationareaareexpectedtosubstitutemathematicscourses.

3. Notmorethan6creditsinanycombinationofindependentstudyorseminarorthesis(Math790,791,792,799,or990);

4. Notmorethan12creditsbelowthe500levelfromwithintheDepartmentofMathematicalSciences;

5. DemonstratedknowledgeofanadvancedscientificprogramminglanguageapprovedbytheIndustrialMathematicsCommittee;and

6. Advisor’spriorwrittenapprovalforeverycourse.

ThesisAthesisinwhichthestudentsolvesamathematicalproblemwithanindustrialsourceisrequired.Thestudentmustworkwiththeadvisor/majorprofessorfromthestartofthethesisthroughitscompletion,receivinghis/herapproval.Thestudentmustpassanoraldefensebeforethreefacultymembers.TimeLimitFull-timestudents,withoutdeficiencies,couldbeexpectedtocompletetheprogramintwoyears.Alldegreerequirementsmustbecompletedwithinsevenyearsofinitialenrollment.SpecialRecommendationItisrecommendedthat,bythetimeofgraduation,studentsmasterthematerialpresentedinthefollowingcourses,eitherpriortoenrollingorthroughcoursework:Math313,314,564,571,601,602,701,702,and715.StudentsmustworkcloselywiththeiradvisorstoensuresatisfactionoftheGeneral,CourseWork,andThesisrequirementsfortimelygraduation.ApprovedIndustrialMathematicsCoursesAppliedMathematicsMath307/308TheoreticalMechanicsMath320IntroductiontoDifferentialEquationsMath321VectorAnalysis

Math322IntroductiontoPartialDifferentialEquationsMath371IntroductiontoStochasticModelsinFinanceMath405MathematicalModelsandApplicationsMath520Non-LinearDifferentialEquationsMath521/522AdvancedCalculusMath525IntroductoryTheoryofDifferentialEquationsMath535LinearAlgebraMath581IntroductiontotheTheoryofChaoticDynamicalSystemsMath601/602AdvancedEngineeringMathematicsI/IIMath621/622IntroductiontoAnalysisMath623ComplexAnalysisMath701/702IndustrialMathematicsI/IIMath703BoundaryValueProblemsMath705MathematicalFluidDynamicsMath709DifferentialGeometryMath716OrdinaryDifferentialEquationsMath719PartialDifferentialEquationsMath726IntroductiontoFunctionalAnalysisMath727CalculusofVariationsMath728IntegralEquationsMath801TopicsinAppliedMathematics:(Subtitle)Math816/817AdvancedOrdinaryDifferentialEquationsI/IIMath819/820AdvancedPartialDifferentialEquationsI/IIMath827FourierAnalysisNumericalAnalysisMath313LinearProgrammingandOptimizationMath314MathematicalProgrammingandOptimizationMath413IntroductiontoNumericalAnalysisMath414NumericalAnalysisMath416ComputationalLinearAlgebraMath715NumericalAnalysisMath793ScientificComputationalLaboratory:(Subtitle)Math813NumericalSolutionofOrdinaryDifferentialEquationsMath814NumericalSolutionofPartialDifferentialEquationsMath815TopicsinNumericalAnalysis:(Subtitle)ProbabilityandStatisticsMthStat361/362IntroductiontoMathematicalStatisticsI/IIMthStat461/462DataAnalysisandGraphingUsingSAS-I/IIMath471IntroductiontotheTheoryofProbabilityMthStat561AnalysisofVarianceMthStat562DesignofExperimentsMthStat563RegressionAnalysisMthStat564TimeSeriesAnalysisMthStat565NonparametricStatistics

MthStat567StatisticalMethodsinReliabilityMthStat568MultivariateStatisticalAnalysisMthStat569AdvancedBiostatisticsMath571IntroductiontoProbabilityModelsMthStat761/762MathematicalStatisticsI/IIMath768AppliedStochasticProcessesMthStat861/862DecisionTheoryI/IIMthStat863HypothesisTestingMthStat869AdvancedTopicsinMathematicalStatisticsClassesinBiostatisticsattheMedicalCollegeofWisconsinC. AtmosphericSciencesOption

MajorProfessorasAdvisorThestudentmusthaveamajorprofessortoadviseandsupervisethestudent’sstudiesasspecifiedinGraduateSchoolregulations.ThisadvisorwillformallybeassigneduponenrollmentintheprogrambythechairoftheAtmosphericScienceProgram.CreditsandCoursesTheminimumdegreerequirementis30graduatecredits,12ofwhichmustbeintheatmosphericsciences700numbersequence,6ofwhichwillbeapprovedgraduateelectivecredits,and6ofwhichwillbefromeitherthemathematicssequences521/522or601/602,atmosphericsciencesequence500/950,orfromtwoofthefollowingcourses:Math703,Math705,Math801,andAtmSci750.ThesisAthesisisoptional.StudentswhochoosethethesisoptionmustenrollinAtmSci990forthefinal6creditsoftherequiredtotal.Anacceptablethesiswillrepresentanoriginalcontributiontoknowledgeintheatmosphericsciences.Uponcompletionofthethesis,studentsmustpassanoralexaminationtodefendthethesis.ComprehensiveExaminationInthenon-thesisoption,studentsmustpassawrittencomprehensiveexaminationthattestsbasicknowledgeoftheatmosphericsciences.TimeLimitFull-timestudents,withoutdeficiencies,canbeexpectedtocompletetheprogramwithintwoyears.NotethatstudentsseekingtheM.S.degreearelimitedtoa

maximumoftwoyearsofdepartmentalfinancialsupport.Alldegreerequirementsmustbecompletedwithinfiveyearsofinitialenrollment.D. StatisticsOption

MajorProfessorasAdvisorThestudentmusthaveamajorprofessortoadviseandsupervisethestudent’sstudiesasspecifiedinGraduateSchoolregulations.EachenteringgraduatestudentisassignedatemporaryadvisorbytheDepartmentGraduateProgramCoordinator.CreditandCoursesTheminimumrequirementis30graduatecredits.Studentsmustcompletethefollowing:1.Math535(or631/632),571,or768.2.Math621/622(or711/712).3.MthStat563,564,andthesequence761/762.4.Atleastoneother560-levelMthStatcourse,suchasMthStat562,565,or568.

Studentswhoalreadyhavetakensomeofthesecoursesasundergraduates,orequivalentcoursesatanotherinstitution,shouldchoosealternativesfromthefollowinglist,subjecttotheadvisor’sapproval:• MthStatcoursesnumbered700orabove.• StatisticscourseofferedbytheDivisionofBiostatisticsoftheMedicalCollegeofWisconsin.

• Math413,414,416,711/712,713,714,721,768,or771;MthStat596/597.

ThesisOptionStudentshavetheoptionofwritingathesis,subjecttotheadvisor’sapproval.StudentswhowriteathesisareexemptfromtheMaster’sProficiencyExam,andtheyearn3creditstowardthedegreebyenrollinginMath790.Studentswhochoosethethesisoptionmustpassanoraldefenseofthethesis.Master’sProficiencyExamStudentswhodonotcompletethethesisoptionarerequiredtopassawrittencomprehensiveexaminationthattestsbasicknowledgeofstatisticaltheoryandeithermathematicalanalysisoralgebra.SeeM.S.ExamInformationinthisHandbookformoreinformation.

TimeLimitStudentsmustcompletealldegreerequirementswith5yearsofinitialenrollment.E. ActuarialScienceOption

ObjectiveTheprogramprovidesamathematicallyrigorouseducationinactuarialscience,preparesstudentsforactuarialprofessionalexams,anddevelopstheireconomicsandbusinessreasoningskills.Studentsobtainthoroughknowledgeinthefundamentalsofactuarialsciencesuchasappliedprobabilitymodels,appliedstatistics,credibility,financialeconomics,lifecontingencies,lossmodels,andrisktheory.Emphasisisplacedondevelopingskillsthatarehighlyvaluedbyemployersandthusareessentialforasuccessfulcareerasactuary.Thisprogramisintendedforstudentswhowillseekemploymentasanactuaryuponcompletionofthedegree.Thoseinterestedinenteringthedepartment’sPh.D.programshouldconsideradifferentMaster’soption.MajorProfessorasAdvisorThestudentmusthaveamajorprofessor,selectedfromthemembersoftheActuarialScienceCommittee,toadviseandsupervisethestudent’sstudies.Theenteringstudentisassignedanadvisorbythechairofthecommittee.Beforethestartofstudies,eachstudentintheprogrammustdevelopaplanofstudyinconsultationwiththeCommittee.CreditsandCourseWorkTheminimumdegreerequirementis30credits.Inordertograduate,thefollowingrequirementsmustbecompleted:• EighteencreditsamongMthStat596,597,691,692,795,andeitherMath571or768.Studentsalreadyproficientinsomeoftheseareasmaysubstituteuptosixcreditsofothercoursesinactuarialscience,probabilityorstatisticsatthe700levelorabove.(AllsubstitutionshavetobeapprovedbytheActuarialScienceCommitteeandtheGraduateProgramCoordinator.)

• Atleast12creditsfromthefollowinglist:Math311,790,792,799,MthStat563,564,Econ701,702,BusMgmt705.Studentsalreadyproficientintheseareasbuthavinglessthantwoactuarialexamspassedmustsubstituteatleastsixcreditsofothercoursesinprobabilityorstatisticsatthe700levelorabove.CreditsforMath790,792and799canbecountedtowardthedegreerequirementonlyfor

studentswhohavepassedtwoactuarialprofessionalexamsandonlywhenthesecoursescovertopicsinactuarialscience,probability,orstatistics.

Studentswhohavecompletedprogramcoursesforundergraduatecreditshoulddiscussalternativegraduate-levelcoursestosubstituteforthosecoursesintheirprogramsofstudy.ThesisAthesisisnotrequiredfortheactuarialscienceoption.Rather,studentsmustpassthreedepartmentalwrittenproficiencyexams,whicharebasedonthelearningobjectivesoftheactuarialprofessionalexamsP/1,FM/2,andoneofMFE/3F,MLC,C/4.Waiversfordepartmentalexamsaregrantedforstudentswhohavepassedthecorrespondingprofessionalexams.ProfessionalDevelopmentForfutureadvancementinthefieldofactuarialscience,“ValidationbyEducationalExperience”(VEE)creditsarerequired.VEEcreditsmaybeearnedfromtheSocietyofActuaries(SOA)andCasualtyActuarialSociety(CAS)withagradeofB-orbetterinthefollowingcourses:MthStat563,564(VEE-AppliedStatistics);Econ701,702(VEE-Economics);BusMgmt705(VEE-CorporateFinance).CoursestakenatotheruniversitiesmaybeusedtomeettheVEErequirementoftheSOA/CAS.TimeLimitFull-timestudentsareexpectedtocompletetheprogramintwoyears.Studentsmustcompletealldegreerequirementswithinfiveyearsofinitialenrollment.

F. FoundationsofAdvancedStudiesOption

ObjectiveThisoptionisdesignedtopreparestudentsforadvanced-levelgraduateprograms.Itisstructuredsothatstudentswithbasicpreparationfromtheirundergraduateinstitutionscancompletetheoptioninnomorethantwoyears.Somestudentswithahigherlevelofpreparationmaytransferupto12graduatecreditsfromthecoursestheycompletedpreviously;suchstudentsmayadvancemorequicklythroughtheprogramandcompletethedegreeinonlyoneyear.MajorProfessorasAdvisorThestudentmusthaveamajorprofessortoadviseandsupervisethestudent’sstudiesasspecifiedinGraduateSchoolregulations.TheAssociateChairfortheGraduateProgramassignsatemporaryadvisorfortheenteringgraduatestudent.

CreditsandCoursesMinimumdegreerequirementis30creditsfrommathematics/statisticscourses,includingMath621/622and631/632.Atleast12creditsmustbetakenincoursesnumbered700orabove.Upto6creditsmaybeinapprovedcoursesfromoutsidetheDepartment.StudentswhoalreadyhavetakenMath621/622and/orMath631/632(orequivalentcoursesasanotherinstitution)asundergraduatesmayrequestpermissiontotakealternativesfromthefollowinglist:1. Math711/7122. Math713/7143. Math731/7324. Math751/752

ExaminationThestudentmustpassawrittencomprehensiveexamination.SeeM.S.ExamInformationinthisHandbookformoreinformation.TimeLimitThestudentmustcompletealldegreerequirementswithin5yearsofinitialenrollment.Normally,thestudentcancompletealldegreerequirementswithin2yearsofinitialenrollment.Studentswhohavepriorgraduatecourseworkmaybeabletocompletethedegreerequirementsin1year.RemarkTheDepartmentofMathematicalSciencesdoesnotofferfinancialsupporttostudentsenrolledinthisprogram.DualMaster’sDegreeTheprogramisdesignedinsuchawaythatstudentstypicallywillbeabletocompleteallthecourserequirementswithinatwo-yeartimeperiod(oneyearateachinstitution).Withinthisprogram,studentscanchoosecoursesthatwillallowthemtoconcentrateintheareasofStatistics,NumericalAnalysisorGeneralMathematics.Completeinformationontheadmissionpolicyandgraduationrequirements,includingsampleschedules,isavailableattheDepartmentofMathematicalScienceswebpagehttp://uwm.edu/math/graduate/

9.Ph.D.Requirements

9.1MajorProfessorasAdvisorThestudentmusthaveamajorprofessortoadviseandsupervisethestudent’sstudiesasspecifiedinGraduateSchoolregulations.TheenteringgraduatestudentisassignedatemporaryadvisorbytheAssociateChairfortheGraduateProgram.9.2CourseofStudyMinimumdegreerequirementis54graduatecreditsbeyondthebachelor’sdegree,atleast27ofwhichmustbeearnedinresidenceatUWM.Thestudent,inconsultationwiththemajorprofessor,mustselectbothaprimaryandasecondaryareaofspecialization.Theprimaryareamaybechosenfromoneofthefollowingeightfieldswithminimumcreditrequirementsasshown.Thesecondaryareamaybechosenfromanotherofthesefieldsormaybechosenfromanotherappropriatedepartment.Minimumcourserequirementsforallworkinbothareasofspecializationrequireapproximatelytwofullyearsofstudy.Algebrafield12creditsinalgebra3incomplexanalysis3inrealanalysis3intopology3inappliedmathematics3outsidethefield(meansnotalgebra,thesameforthedescriptionsbelow)Analysisfield3creditsinalgebra6incomplexanalysis6inrealanalysis3intopology3inappliedmathematics3outsidethefieldAppliedmathematicsfield3creditsinalgebra6incomplexanalysis3inrealanalysis12inappliedmathematics3outsidethefieldProbabilityandstatistics

3creditsincomplexanalysis6inrealanalysis12inprobabilityandstatistics3inappliedmathematicsTopologyfield3creditsinalgebra3incomplexanalysis3inrealanalysis12intopology3inappliedmathematics3outsidethefieldIndustrialmathematicsfield3creditsinalgebraortopology3incomplexanalysis3inrealanalysis9inappliedmathematics6inprobabilityandstatistics6inapprovedcreditsoutsideMathandMthStat.Atmosphericsciencesfield12creditsinatmosphericsciences(synoptic,dynamic,cloud/radiative,airpollution)9inappliedmathematicsorprobabilityandstatistics3inanalysisActuarialsciencefield6creditsinactuarialscience6inappliedmathematics6inprobability&statistics6inrealanalysis3inbusinessoreconomicsNOTE:Admissiontothisprogramislimitedtostudentswhohavemadesignificantprogresstowardsandareclosetoachievingaprofessionaldesignationfromaninternationallyrecognizedactuarialorganization.9.3ForeignLanguageExceptforstudentsintheatmosphericsciencesfield,eachstudentmustpassawrittenexaminationinoneforeignlanguage;theexaminationisadministeredbytheDepartment’sLanguageCommittee.AcceptablelanguagesareFrench,German,andRussian;exceptionsmaybepermitteduponwrittenrequestofadvisor.9.4ComputerProficiency

Thestudentshallpassanexaminationonahigherprogramminglanguageand/orotherappropriateadvancedcomputerskills;theexaminationisadministeredbytheDepartment’sComputerCommittee.TheComputerCommitteemayacceptadvancedcomputersciencecourseworkinlieuoftheexamination.9.5ResidenceThestudentmustmeetminimumGraduateSchoolresidencerequirements.9.6DoctoralPreliminaryExaminationWhenthestudentissufficientlyprepared—normallywhenthestudenthasearned24creditsinspecifiedareasabovethe700level—adoctoralpreliminaryexaminationtodeterminethestudent’sknowledgeandachievementistaken.Forstudentsinmathematics,theexamisanoralexamconsistsofthree(3)differentfields.Itevaluatesthestudent’sgeneralknowledgeofmathematics,aswellasthestudent’sknowledgeofthemajorareaofconcentration.Thestudentchoosesthree(3)differentfieldsfromthesefive(5)options:algebra,analysis,appliedmathematics,probabilityandstatistics,andtopology,andselectsthreeexaminationcommitteememberswhoseexpertiserepresentthethreeselectedfields.TheAssociateChairfortheGraduateProgrammustapproveboththeselectedfieldsandthecommitteemembers.SeePh.D.MilestoneProceduresinthisHandbookformoreinformation.Studentsinatmosphericsciencesareexaminedinthreeareas:atleastonefromAtmSciandatleastonefromMathorMthStat.Studentsmustpassthisexaminationtocontinueintheprogram.Withpermissionoftheexaminationcommittee,thestudentmayrepeatthisexaminationonce.Ifthestudentdoesnothaveamaster’sdegreeinmathematicsbeforethisexamination,thecommitteewilldeterminewhetherthestudent’sperformanceissufficienttoqualifyforthemaster’sdegree.9.7DoctoralDissertationProposalHearingAfterpassingthelanguagerequirementsandthedoctoralpreliminaryexamination,thestudentparticipatesinadoctoraldissertationproposalhearing.Atthishearing,thestudentisexaminedonthestudent’schosenareaofresearchandadissertationtopicisapproved.SeePh.D.MilestoneProceduresinthisHandbookformoreinformation.9.8Dissertation

TheprimaryrequirementforthePh.D.inmathematicsisthecandidate’scompletion,underthesupervisionoftheDepartmentadvisor,ofanoriginalandsignificantmathematicalinvestigationpresentedintheformofadissertation.Theinvestigationistobeinthefieldofalgebra,analysis,appliedmathematics,probabilityandstatistics,topology,atmosphericsciences,oractuarialscience.Adissertationfortheindustrialmathematicsfieldmustinvolveanindustrialproblemrequiringamathematicalsolution.9.9DissertationDefenseThecandidatemust,asthefinalsteptowardthedegree,presentacolloquiumbasedonthedissertationandmustpassanoralexaminationindefenseofthedissertation.Ifthecandidatedoesnotsuccessfullydefendathesiswithinfiveyearsofadmissiontocandidacy,thecandidatemayberequiredtotakeanotherdoctoralpreliminaryexaminationandbereadmittedtocandidacy.SeePh.D.MilestoneProceduresinthisHandbookformoreinformation.9.10TimeLimitAlldegreerequirementsmustbecompletedwithintenyearsfromthedateofinitialenrollmentinthedoctoralprogram.NotethatstudentsseekingthePh.D.degreearelimitedtoamaximumofsevenyears,inclusiveoftimespentinpursuitofaninitialM.S.degree,ofdepartmentalfinancialsupport.9.11MinorAreaforOtherPh.D.MajorsAdoctoralstudentplanningaphysicalsciencemajorotherthanmathematicsmayfulfillrequirementsformathematicsastheminorareaofconcentrationbycompleting12creditsofapprovedmathematicscourseswithagradeofBorbetter,atleast6creditsofwhichmustbeincourses700orabove.Adoctoralstudentplanninganon-physicalsciencemajormayfulfillrequirementsformathematicsastheminorareaofconcentrationbycompleting12creditswithagradeofBorbetterinapprovedmathematicscourses300orabove.

10.M.S.ExamInformation

TheDepartment’swrittencomprehensiveMaster’sExamisgiveninthreesubjects:Algebra,Analysis,andStatistics.Master’sstudentswhochoosetotaketheM.S.Examstosatisfythecapstonerequirement(alternativesforthecapstonerequirementareathesisorproject,seeMaster’sRequirementsinthisHandbookfordetail)mustpassanycombinationoftwooftheseexamsexceptthosewhochoosethestatisticsoption.Master’sstudentswhochoosetheM.S.Statisticsoption

mustpasstheM.S.StatisticsexamandeithertheM.S.AlgebraexamortheM.S.Analysisexam.Studentscanpasstheexamsoneatatime;andthereisnolimitationonthenumberoftimesastudentcantakeeachexam.EachoftheexamslaststhreehoursandisofferedthreetimesayearinoneweekinJanuary,May/June,andAugust.TheJanuaryandAugustM.S.examsareofferedintheweekprecedingthefirstweekofinstruction,andtheMay/JuneM.S.examsareofferedinthesecondweekafterthespringsemesterends.Studentsmustsignupfortheexamsatleastoneweekaheadofthescheduledexamdates.Approximatelyamonthbeforethenextscheduledexamweek,theDepartmentwillsendanemailtoinformthestudentsaboutthecomingM.S.examandaskthestudentstosignup.Ifnostudentssignupforaparticularsubjectexam,thissubjectexamwillbecancelled.Inthepast,moststudentshavetakentheM.S.AlgebraandtheM.S.Analysisexams.CopiesofpastM.S.examscanbeobtainedfromtheDepartmentalmainoffice,whileexampleM.S.examscanbefoundusingthelinksbelow.MSAlgebraExamTheM.S.AlgebraexamisbasedonthecoursesequenceMath631–632anditcoversthesetopics:linearalgebra,grouptheory,ringsandmodules.References:Algebra,M.Artin(2ndEd):Chapters1-4,Sections6.7–6.11,7.1–7.7,7.9,7.10,Chapter8,Sections11.1–11.8,Chapter12,Sections14.1,14.2,14.5,and14.7;orAbstractAlgebra,Dummit&Foote(3rded):Chapters1-5,7-8,9.1-9.4,10.1-10.2,11.1-11.4,andChapter12.MSAlgebraExamExample(PDF)MSAnalysisExamTheM.S.AnalysisexamisbasedonthecoursesequenceMath621-622anditcoversthesetopics:sequences,continuity,differentiation,integration,seriesandfunctionsofseveralvariables.References:PrinciplesofMathematicalAnalysis,WalterRudin:Chapter3-7andChapter9;orAFriendlyIntroductiontoAnalysis,WitoldA.J.Kosmala:Chapter2-8andChapter10-11.MSAnalysisExamExample(PDF)MSStatisticsExamTheM.S.StatisticsexamisbasedonthecoursesequenceMthStat761–762anditcoversthesetopics:axiomaticsofprobability,randomvariablesandvectors,

distributions,transformations,expectedvalueandmoments,asymptotics,pointestimation,confidenceintervalsandhypothesistesting.References:StatisticalInference,G.CasellaandR.L.Berger(2002,secondedition);orModernMathematicalStatistics,E.J.DudewiczandS.N.Mishra(1988).MSStatisticsExamExample(PDF)

11.M.S.GraduationProcedures

ForGraduateSchoolPoliciesandProcedures,visithttp://uwm.edu/graduateschool/masters-toolbox/Beforethesemesterinwhichyouexpecttograduate:1. MeetwiththeAssociateChairfortheGraduateProgramtomakesureyouwill

meetthecourseandcreditrequirementsbytheendofthesemesterinwhichyouintendtograduate.IfyourM.S.optionisoneofActuarialScience,AtmosphericSciences,IndustrialMathematics,orStatistics,youshouldalsochecktheconcentrationrequirementforyouroption.SeetheConcentrationVerificationofCompletionforms:1)Verification–ActuarialScience2)Verification–AtmosphericScience3)Verification–IndustrialMathematics4)Verification–Statistics

2. IfyouplantotaketheM.S.ExamsforyourM.S.capstonerequirement(exitrequirement),notethatourdepartmentofferstheseexamsthree(3)timesayearinJanuary,May/June,andAugust,andplanaccordingly.Note:Youwillneedtopasstwo(2)outofthesethree(3)exams:AlgebraExam,AnalysisExam,andStatisticsExam.OurdepartmentwillsendoutanemailnoticeaboutthecomingM.S.Exams.Youcantaketheseexamsasmanytimesastimepermits,soyoumaywanttotakethemasearlyaspossible.

3. Ifyouplanathesis/projectforyourM.S.capstone,itisadvisedthatyoufindanadvisorbeforethesemesterinwhichyouplantograduate.NotethatsomeM.S.options(e.g.IndustrialMathematics)requireathesis,andtheprojectoptionrequires36credits.

4. Applyforgraduationbytheposteddeadlineforthesemesterinwhichyouintendtograduate.

5. Informationonregistrationrequirements,applicationdeadlines,andtheonlinegraduationapplicationlinkareavailablehere.

Duringthesemesterinwhichyouexpecttograduate(forthosewhoarecompletingathesis/project):1. Checkthegraduateschool’sdeadlines,enrollmentrequirement,and

otherpolicieshere,andplanyourdefense/hearingaccordingly.Note:Ifyouarecompletingathesis,youmustfollowthegraduateschool’sdeadlinesonformatting,defense,andsubmission.Ifanyofthesedeadlinesarenotmet,youmustre-applyandgraduateinthenextsemester.Youwillnotberequiredtoregisterforthenextsemesterifyourthesishasbeendefended,passed,andacceptedbytheGraduateSchoolbeforethefirstdayofclassesforthenextsemester.Thedateofgraduation,however,willbethenextsemester.Ifyouarewritingaproject,youdonotneedtosubmityourprojecttotheGraduateSchool,andyouwilljustneedtopassyourprojecthearingbytheendofthesemester.

2. Formyourthesis/projectcommitteeatleasttwo(2)weeksbeforeyourdefense/hearingdateandgetapprovalfromtheAssociateChairfortheGraduateProgram.Three(3)graduatefacultymembersarerequired.Scheduleyourdefense/hearingwithyourcommitteemembers,andreservearoomforyourdefense/hearingthroughthedepartmentalonlineroomrequestsystem.Youmustincludeyouradvisor’sname,defense/hearingtitle,andanabstract(forourdepartmentalannouncement)withyourroomrequest.Youshouldscheduleyourdefense/hearingfortwo(2)hoursandmaketheroomreservationaccordingly.

3. FillinandprintthedepartmentalMastersProjectorThesisReportForm,andtakeittothedefense/hearing.ThisformisfordepartmentalrecordsandwillnotbesubmittedtotheGraduateSchool.

4. IfyourM.S.capstoneisathesis,youwillneedtosubmittheThesis&DissertationApprovalandPublishingOptionsFormalongwithyourthesistotheGraduateSchool.Seehere.

HaveyouradvisorcompleteandsignaConcentrationVerificationofCompletionform.ThisformmustbesubmittedwiththesignedGraduationApplication.Ifyoudonotgraduatewhenanticipated,youmustre-applytograduateinthenextsemester,butasecondgraduationfeeisnotrequired.

12.Ph.D.MilestoneProceduresForGraduateSchoolPoliciesandProcedures,visithttp://uwm.edu/graduateschool/doctoral-toolbox/

12.1PreliminaryExamWhenyouaresufficientlyprepared–normallyyouhaveearned24creditsinspecificareasabovethe700levelmathcourses,takethesestepstoscheduleandcompleteyourpreliminaryexam:

1. Formyourexamcommittee.Choosethreefacultymembersrepresentingthree(3)differentfieldsfromthesefive(5)fields:algebra,analysis,appliedmathematics,probabilityandstatistics,andtopology.TheAssociateChairfortheGraduateProgrammustapproveboththeselectedfieldsandthecommitteemembers.Yourpreliminaryexamcommitteemembersareusuallythefacultymembersfromwhomyoutookthecorrespondingcourses.

2. Afteryourexaminationareasandcommitteehavebeenapproved,scheduleyourpreliminaryexamwithyourcommitteemembersandapplyforthepreliminaryexamonlineusingthedoctoralmilestonesystem.

3. Reservearoomfortheexamthroughthedepartmentalonlineroomrequestsystem.Youshouldscheduleyourpreliminaryexamfortwo(2)hoursandmaketheroomreservationaccordingly.Normally,apreliminaryexamtakesanhourandthirtyminutestotwohourstocomplete.

4. PrinttheDepartmentalPh.D.PreliminaryExamFormandtakeittotheexam.TheDepartmentalPh.D.PreliminaryExamFormisforourdepartment’srecordandwillnotbesenttotheGraduateSchool.

12.2ProposalHearingWhenyouareready(tobedecidedbyyouandyourPh.D.dissertationadvisor),takethesesteps:1. Formyourproposalhearingcommitteeandscheduleyourproposalhearingwith

thecommittee.WorkwithyouradvisortoselectyourproposalhearingcommitteemembersandobtaintheapprovalfromtheAssociateChairfortheGraduateProgram.OurDepartmentrequiresthatyouformaproposalhearingcommitteewithfive(5)graduatefacultymemberswithatleastonememberoutsideyourdissertationfield.Notethedifferenceherewiththestatementinthegraduateschoolwebpage“thecommitteemusthaveatleastthreeUWMgraduatefacultymembers,includingyourchosenmajorprofessor”.Here,thedepartmentalpolicyisconsistentwiththegraduateschoolpolicyanditsupersedesthestatementthere.

2. Starttheonlineapplicationforyourproposalhearingthroughthedoctoralmilestonesystem.Reservearoom(fortwohours)foryourproposalhearingthroughthedepartmentalonlineroomrequestsystem.

3. FillinandprinttheDepartmentalPh.D.ProposalHearingFormandtakeittoyourproposalhearing.

4. Afteryourproposalhearing,returntheDepartmentalPh.D.ProposalHearingFormtotheAssociateChairfortheGraduateProgram.

12.3ApplyforDissertatorStatusTobecomeadissertator,youmusthave:

1. yourPh.D.candidacyinplace(havepassedyourpreliminaryexam),2. satisfiedthecourserequirementsforboththeprimaryfieldandthe

secondaryfield–thisrequirescarefulplanningwellaheadoftime,3. satisfiedboththeforeignlanguagerequirementandthecomputer

proficiencyrequirement,and4. passedyourproposalhearing.CheckthesewiththeAssociateChairfortheGraduateProgram.UsuallyyoucanstartyourdissertatorstatusapplicationthroughthePh.D.milestonesystemafteryourproposalhearinghasbeenapprovedbyyourcommittee.Notethata) Ifyouareateachingassistant,yourpaywillincreasesignificantlyafteryou

becomeadissertator.Youcanattaindissertatoreducationalstatusatanypointduringthesemester.However,inordertobepaidatthedissertatorrateduringthesemester,youmustachievedissertatorstatusonorbeforetheRegistrar’sadddeadline.Therearetwocases:1)Youattaindissertatorstatusbythefirstcontractualdateasdefinedbythepublishedacademicyearcalendarofthesemester,thenyouwillbepaidatthedissertatorrateatthebeginningofthesemester.2)YouattaindissertatorstatusbetweenthecontractualdateandtheRegistrar’sadddeadline,thenyouwillbepaidthedissertatorratestartingwiththefirstpayrollperiodaftertheadddeadline.

b) ItisaGraduateSchoolpolicythatafteryoubecomeadissertator,youwillneedto(andcanonly)registerforthree(3)creditsofreadingandresearch(Math990).Youwillnotbeabletotakeotherclasses.Fordetailsonthedissertatorpolicy,includingthecontinuousregistrationrequirement,visithttp://uwm.edu/graduateschool/doctoral-toolbox/.OurDepartmenthasapartialexemptiontothethreecreditrule:asdissertator,youmaytakeonethree(3)credit800-levelcourseinyourfieldplusone(1)creditofMath990.

12.4ApplyforDissertationDefenseandGraduationTheprocedureforthismilestonestepisdetailedattheGraduateSchoolwebpageathttp://uwm.edu/graduateschool/doctoral-toolbox/.Notethat

a. TheGraduateSchoolsendsoutemailstoremindallUWMgraduatestudentsofthedeadlinesforapplicationforgraduation,thesisdefense,andthesissubmission(totheGraduateSchool),beforeeachsemesterstarts.

b. Ifanyofthedeadlinesarenotmet,youmustapplyandgraduateinthenextsemester.Youwillnotberequiredtoregisterforthenextsemesterifthedissertationhasbeendefended,passed,andacceptedbytheGraduateSchoolbeforethefirstdayofclassesforthenextsemester.Thedateofgraduation,however,willbethenextsemester.

Whenyouandyourcommitteehaveselectedadefensedateyoumustreservearoomforthedefensethroughthedepartmentalonlineroomrequestsystem.Youmustincludeyouradvisor’sname,defensetitle,andanabstract(forourdepartmentalannouncement)withyourroomrequest.Youshouldscheduleyourdissertationdefensefortwo(2)hoursandmaketheroomreservationaccordingly.

13.GraduateProgramForms

M.S.ProjectofThesisFormPh.D.PreliminaryExamFormPh.D.ProposalHearingFormVerification–ActuarialScienceVerification–AtmosphericScienceVerification–IndustrialMathematicsVerification–Statistics

14.Courses

Coursesnumbered300-699areUndergraduate/Graduate.Coursesnumbered700andaboveareGraduateonly.14.1AtmosphericSciences

330Air-PollutionMeteorology.3cr.U/G.Pollutantsourcesandsinks,fundamentalpollutantchemistry,monitoringtechniques,averagingboundarylayersandturbulence,diffusiontheories,diffusionmodels,regionalandglobal-scalepollutionproblems.Prereq:AtmSci240(P);Chem102(P);statscourserecom.350AtmosphericThermodynamics.3cr.U/G.Radiantenergy,sensibleheat,andatmosphericthermodynamics;thegaslaws;hydrostaticandpsychrometricequations;dryandmoistconvection;cloudsandtheirphysicalandenergyrelations.Optionalfieldexercise.Prereq:jrst;Physics210(P);Math232(P);AtmSci240(P).

351DynamicMeteorologyI.3cr.U/G.Theroleofdynamicsinatmosphericphysics;equationsofmotion;symmetriccirculationmodels;gravitywaves;Rossbywaves,quasi-geostrophy;introductiontoinstabilityofatmosphericflows.Prereq:jrst;AtmSci240(P);Math233(P).352DynamicMeteorologyII.3cr.U/G.Circulation,vorticity,potentialvorticity;shallowwaterequations:Poincare,Kelvin,andRossbywaves,energyandenstrophy;quasi-geostrophyforastratifiedatmosphere;barotropicandbaroclinicinstability.Prereq:jrst;AtmSci351(P);Math234(P).360SynopticMeteorologyI.4cr.U/G.Fundamentalprinciples;synoptic-scalestructureanddynamics;equivalentbarotropicmodel;verticalmotions;introductiontoandapplicationofquasi-geostrophictheory.Prereq:jrst;Math232(P);Physics210(P);AtmSci240(P).361SynopticMeteorologyII.4cr.U/G.Extensionofquasi-geostrophictheorytoQ-vectors;isentropicpotentialvorticityappliedtomid-latitudeweathersystems;frontsandjets.Prereq:jrst;AtmSci360(P).460MesoscaleCirculations.3cr.U/G.Theory,analysisandforecastingofmesoscaleflows,includingconvectivesystems,polarlows,terrainandsurface-forcedflows,jetstreamsandhurricanes.Prereq:jrst;AtmSci360(R)orconsinstr.464CloudPhysics.3cr.U/G.Formationofclouddroplets,dropletgrowthbycondensation,formationoficecrystals,precipitationprocesses,weatherradars,cloudmodels.Prereq:jrst;Physics210(P);Math232(P);AtmSci350(P).470TropicalMeteorology.3cr.U/G.Dynamicsandenergeticsoftropicalcirculations.Originsandevolutionofequatorialdisturbancesandeasterlywaves.Structureanddynamicsoftropicalcyclones.Hurricanemodelingandprediction.Prereq:AtmSci351(P)or360(P).480TheGeneralCirculationandClimateDynamics.3cr.U/G.Historicaloverview,thezonallysymmetriccirculation,momentum,heatandwaterbudgets,stationarywaves,theElNinoSouthernoscillation,globalwarming,interpentadalvariabilityintheNorthAtlantic.Prereq:jrst;AtmSci351(P).497StudyAbroad:(Subtitled).1-12cr.U/G.DesignedtoenrollstudentsinUWMsponsoredprogrambeforecourseworklevel,content,andcreditsaredeterminedand/orinspeciallypreparedcoursework.Retakablew/chgintopic.Prereq:jrst;acceptanceforStudyAbroadProg.

500StatisticalMethodsinAtmosphericSciences.3cr.U/G.Mathematicalandstatisticaltoolsapplicabletotheinvestigationofatmosphericproblems;thenatureandtreatmentofatmosphericdata.Prereq:jrst;AtmSci240(P)or350(P),&Math231(P),232(P)orconsinstr.505Micrometeorology.3cr.U/G.Surfaceenergybudget;radiationbalanceandheattransfer;boundary-layerprofilesofwind,temperatureandmoisture;turbulenceandboundary-layerfluxes;evapotranspiration;specialtopics.Prereq:jrst;AtmSci351(P)&330(P).511SeminarinAtmosphericRadiationandRemoteSensing.3cr.U/G.Basiclawsofradiation,absorptionandscattering,weatherradar,retrievalofsoundings,remotesensingandclimate,weathersatellites.Prereq:jrst;Math232(P);AtmSci350(P)&Physics210(P).690SeminarinAtmosphericSciences:(Subtitled).1-3cr.U/G.Intensivetopicalstudiesofcurrentlyactiveproblemareas.Retakablew/chgintopicto9crmax.SatisfiesL&SSeminarreq.Prereq:jrst;consinstr.705AirPollutionModeling.3cr.G.Computationaltechniquesfordeterminingsurfacefluxesofheatandmomentum.Numericalmethodsforsolvingadvectionanddiffusionproblems;statisticaldiffusionmodeling.Prereq:gradst;consinstr.711CloudDynamics.3cr.G.Atmosphericapplicationsofturbulentflowtheory.Nonprecipitatingclouds:structureofindividualcumulusclouds,stratocumulusandcumulusboundarylayers.Precipitatingclouds:thunderstorms,squalllines,hurricanes.Prereq:gradst;consinstr.750NonlinearTimeSeriesAnalysis.3cr.G.Phasespacereconstruction;singularspectrumanalysis;prediction;dimensionestimation;applicationofnonlineartimeseriesanalysistechniquestoselecteddatasets.Prereq:gradst;consinstr.761AdvancedSynoptic/MesoscaleMeteorology.3cr.G.Advancedanalysistechniquesforsnyoptic/mesoscalediagnoses,casestudiesofrelevantcirculationsystems;roleofplanetary,synoptic,andmesoscaleflowsinsystemdevelopment.Prereq:gradst;consinstr.888CandidateforDegree.0cr.G.Availableforgraduatestudentswhomustmeetminimumcreditloadrequirement.Feefor1crassessed.Prereq:gradst.950SeminaronTopicsinAtmosphericSciences.1-3cr.G.Selectedtopicsinatmosphericdynamics,satellitemeteorology,atmospheric&

oceanicconvection,air&waterpollution,numericalprediction,remotesensing,&others.Prereq:gradstinphysicalsciencesorengineering.990Master'sThesis.1-8cr.G.Prereq:gradst;consinstr&completedthesisproposal.997DoctoralExternship.1-12cr.G.Prereq:gradst;admistocandidacyforthePh.D..998DoctoralDissertation.1-12cr.G.Prereq:gradst;admistocandidacyforPh.D..999AdvancedIndependentReading.1-4cr.G.Independentmeteorologicalstudy.Retakableto4crmax.Prereq:gradst&consinstr.14.2MathematicalSciences

305IntroductiontoMathematicalandComputationalModeling.3cr.U/G.Constructionandanalysisofdiscreteandcontinuousmathematicalmodelsinapplied,natural,andsocialsciences.Elementsofprogramming,simulations,casestudiesfromscientificliterature.CountsasrepeatofMath690(675)w/topic"AdvMathModelswithApps."Prereq:jrst;gradeofCorbetterinMath211(P)&oneaddl200-levelorhigherMathorMthStatcourse,orgradeofCorbetterinMath231(P),orconsinstr.313LinearProgrammingandOptimization.3cr.U/G.Primalanddualformulationsoflinearprogrammingproblems;simplexandrelatedmethodsofsolution;algorithmsfortransportation;optimization.Prereq:jrst;gradeofCorbetterinMath/ElecEng234(P)orMath240(P);orgradst.315(314)MathematicalProgrammingandOptimization.3cr.U/G.Introductiontooperationsresearch.Networkanalysis;integerprogramming;gametheory;nonlinearprogramming;dynamicprogramming.Prereq:jrst,gradeofCorbetterineitherMath234(P)or240(P),&gradeofCorbetterineitherMath211(P)or233(P);orconsinstr;orgradst.320IntroductiontoDifferentialEquations.3cr.U/G.Elementarytypesandsystemsofdifferentialequations,seriessolutions,numericalmethods,Laplacetransforms,selectedapplications.NogradcrinMathSci.Prereq:jrst,gradeofCorbetterinbothMath232(P)&240(P),orgradeofCorbetterinMath/ElecEng234(P);orgradst.321VectorAnalysis.3cr.U/G.Topicsselectedfromvectoralgebra;scalarandvectorfields;line,surface,and

volumeintegrals;theoremsofGreen,Gauss,andStokes;vectordifferentialcalculus.Prereq:jrst,gradeofCorbetterinMath233(P);orgradst.322IntroductiontoPartialDifferentialEquations.3cr.U/G.Partialdifferentialequationsofmathematicalphysics,boundaryvalueproblemsinheatflow,vibrations,potentials,etc.SolvedbyFourierseries;BesselfunctionsandLegendrepolynomials.Prereq:jrst,Math320(P),&gradeofCorbetterinMath233(P);orgradst.371IntroductiontoStochasticModelsinFinance.3cr.U/G.Elementarymodelingoffinancialinstrumentsforstudentsinmathematics,economics,business,etc.StatisticalandstochastictoolsleadingtotheBlack-Scholesmodel.Realdataparameterfitting.Prereq:jrst&oneofthefollowingpairs;Econ413(431)(P)&506(P),BusAdm210(P)&350(P),BusAdm701(P)&702(P),orMath234(P)&MthStat361(P),orconsinstr;orgradst.405MathematicalModelsandApplications.3cr.U/G.Modelingtechniquesforanalysisanddecision-makinginsocialandlifesciencesandindustry.Deterministicandstochasticmodeling.Topicsmayvarywithinstructors.Prereq:jrst,gradeofCorbetterineitherMath211(P)orMath231(P),&gradeofCorbetterineitherMath/ElecEng234(P)orMath240(P);orgradst.413IntroductiontoNumericalAnalysis.3cr.U/G.Rootfindingandsolutionofnonlinearsystems;directsolutionoflinearsystems;interpolation&approximationoffunctions;leastsquares;fastFouriertransform;quadrature.Prereq:jrst,gradeofCorbetterinMath233(C),&gradeofCorbetterinMath/ElecEng234(C);orgradst.415IntroductiontoScientificComputing.3cr.U/G.Nonlinearsystems;iterativesolutionoflinearsystems;initialvalueproblemsinordinarydifferentialequations;boundaryvalueproblemsinordinaryandpartialdifferentialequations.Prereq:jrst,gradeofCorbetterinMath233(C),&gradeofCorbetterinMath/ElecEng234(C);orgradst.417(416)ComputationalLinearAlgebra.3cr.U/G.Directsolutionoflinearsystems;iterativesolutionoflinearsystems;leastsquares;eigenvalueproblems.Prereq:jrst&gradeofCorbetterinMath/ElecEng234(P)orMath240(P);orgradst.423(623)ComplexAnalysis.3cr.U/G.Complexnumbers;definitionandpropertiesofanalyticfunctionsofacomplexvariable;conformalmapping;calculusofresidues;applicationstomathematicsandphysics.SeealsoMath713.Prereq:jrst;gradeofCorbetterinMath233(P);orgradst.431ModernAlgebrawithApplications.3cr.U/G.

Groups,rings,fields,Booleanalgebraswithemphasisontheirapplicationstocomputerscienceandotherareas.Doesnotcarrygradcrinmathsci.Prereq:jrst&gradeofCorbetterinMath232(P);orgradst.451AxiomaticGeometry.3cr.U/G.AnaxiomaticapproachtoEuclideanandnon-Euclideangeometry(historicroleoftheparallelpostulateandmodels).Deptconsreq'dforgradcrinmathsci.Prereq:jrst,gradeofCorbetterinbothMath341(P)&Math232(C);orgradst.453TransformationsinGeometry.3cr.U/G.Selectedtopicsfromvectorgeometryandgeometrictransformationssuchasthestudyofinvariantsandconics.Recomforsecondaryschoolteachers.Deptconsreq'dforgradcrinmathsci.Prereq:jrst,gradeofCorbetterinbothMath341(P)&Math232(C);orgradst.490TopicsinMathematics:(Subtitled).3cr.U/G.SpecifictopicsandanyadditionalprerequisitesannouncedinScheduleofClasseseachtimecourseisoffered.Retakablew/chgintopicto9crmax.Prereq:jrst;gradeofCorbetterinaMathorMthStatcourseatthe200levelorabove;orgradst.497StudyAbroad:(Subtitled).1-12cr.U/G.DesignedtoenrollstudentsinUWMsponsoredprogramsbeforecourseworklevel,contentandcreditsaredeterminedand/orinspeciallypreparedprogramcoursework.Retakablew/chgintopic.Prereq:jrst;acceptanceforStudyAbroadProg.511SymbolicLogic.3cr.U/G.First-orderpredicatecalculus;formalpropertiesoftheoreticalsystems;chiefresultsofmodernmathematicallogic;advancedtopicssuchascompletenessandcomputability.CompSci511,Math511&Philos511arejointlyoffered;theycountasrepeatsofoneanother.Prereq:jrst&eitherPhilos212(P)or6crinmathatthe300-levelorabove.521AdvancedCalculusI.3cr.U/G.Fundamentalnotionsofsetsandfunctions;limits,continuity;Riemannintegral,improperintegral;infiniteseries;uniformconvergence;powerseries;improperintegralswithaparameter.Prereq:jrst;gradesofCorbetterinMath232(P)&341(P);orgradst.522AdvancedCalculusII.3cr.U/G.Linearfunctions;differentiationoffunctionsofseveralvariables(implicitfunctions,Jacobians);changeofvariableinmultipleintegrals;integralsovercurves,surfaces;Green,Gauss,Stokestheorems.Prereq:jrst,Math521(P),gradeofCorbetterinMath233(P),&gradeofCorbetterineitherMath234(P)or240(P);orgradst.531ModernAlgebra.3cr.U/G.Integers;groups;rings;fields;emphasisonproofs.Prereq:jrst;gradeofCorbetter

inMath341(P).535LinearAlgebra.3cr.U/G.Vectorspaces;lineartransformationsandmatrices;characteristicvaluesandvectors;canonicalforms;bilinear,quadratic,andHermitianforms;selectedapplications.Prereq:jrst,gradeofCorbetterineitherMath234(P)or240(P),&gradeofCorbetterinMath341(P);orgradst.537NumberTheory.3cr.U/G.Numbertheoreticfunctions;distributionofprimes;Diophantineapproximation;partitions;additivenumbertheory;quadraticreciprocity.Prereq:jrst,gradeofCorbetterinbothMath232(P)&341(P);orgradst.551ElementaryTopology.3cr.U/G.GeneraltheoryofpointsetsinEuclideanspaces,withemphasisontopologyoftwo-dimensionalandthree-dimensionalspaces;elementarynotionsofmetricspaces;applications.Prereq:jrst;gradesofCorbetterinMath233(P)&341(P);orgradst.553DifferentialGeometry.3cr.U/G.Thetheoryofcurvesandsurfacesbydifferentialmethods.Prereq:jrst,gradeofCorbetterinallofMath233(P),234(P)&341(P);orgradst.571IntroductiontoProbabilityModels.3cr.U/G.Probabilityreview,Markovchainsindiscreteandcontinuoustime.Randomwalks,branchingprocesses,birthanddeathprocesses.Queuingtheory.Applicationstophysicalsciences,engineering,mathematics.Prereq:jrst;gradeofCorbetterinMath233(P);gradeofCorbetterinMath/ElecEng234(P)orinbothMath240(P)&320(P);&onecalculus-basedcourseinstatisticsorprobabilityatthe300levelorabove;orgradst.575HighSchoolMathematicsfromanAdvancedViewpoint.3cr.U/G.Numbersystems;algebraofpolynomials;theoryofequations;functions;modeling;geometricmeasurement;geometrictransformations;connectionsbetweenadvancedmathematicsandhighschooltopics.CountsasrepeatofMath690(675)w/similartopic.Prereq:jrst,eitherMath451(P)or453(P),&eitherMath431(P)or531(P);orconsinstr;orgradst.581IntroductiontotheTheoryofChaoticDynamicalSystems.3cr.U/G.Iteratedmappings,oneparameterfamilies,attractingandrepellingperiodicorbits,topologicaltransitivity,Sarkovski'stheorem,chaos,bifurcationtheory,perioddoublingroutetochaos,horseshoemaps,attractors.Prereq:jrst&Math521(P),529(P)or621(P),orconsinstr;orgradst.601(effective09/06/2016)AdvancedEngineeringMathematicsI.3cr.U/G.Sequencesandseries,elementarycomplexanalysis;Fourierseries;linearandnonlinearordinarydifferentialequations;matrixtheory,elementaryfunctional

analysis;elementarysolutionofpartialdifferentialequations.Prereq:jrst;gradeofCorbetterinbothofMath233(P)andMath/ElecEng234(P);3crMathat300-levelorabove;orconsinstr;orgradst.601AdvancedEngineeringMathematicsI.3cr.U/G.Sequencesandseries,elementarycomplexanalysis;Fourierseries;linearandnonlinearordinarydifferentialequations;matrixtheory,elementaryfunctionalanalysis;elementarysolutionofpartialdifferentialequations.Prereq:jrst;gradeofCorbetterinMath/ElecEng234(P);3crMathat300-levelorabove;orconsinstr;orgradst.602AdvancedEngineeringMathematicsII.3cr.U/G.ContinuationofMath601.Partialdifferentialequations,FourierandLaplacetransforms,convolutions,specialfunctions,mathematicalmodeling.Prereq:jrst;Math601(P).615NumericalSolutionofPartialDifferentialEquations.3cr.U/G.Finitedifferencesolutionofellipticboundaryvalueproblemsandofevolutionproblems;solutionofhyperbolicconservationlaws;finitevolumemethods;finiteelementmethods.Prereq:jrst;Math413(P),415(414)(P),or417(416)(P);Math322(P)or602(P);orconsinstr.617Optimization.3cr.U/G.Unconstrainedandconstrainedoptimization:linear,nonlinear,anddynamicprogramming;barrier,penalty,andLagrangianmethods;Karush-Kuhn-Tuckertheory,quadratic,andsequentialquadraticprogramming;evolutionaryalgorithms.Prereq:jrst;Math321(P)or602(P);orgradstorconsinstr.621IntroductiontoAnalysisI.3cr.U/G.TopologyofEuclideanspace;continuity;differentiationofrealandvector-valuedfunctions;Riemann-Stieltjesintegration.Prereq:jrst:gradesofCorbetterinMath233(P),341(P),&either234(P)or240(P);consdeptadvisor;orgradst.622IntroductiontoAnalysisII.3cr.U/G.ContinuesMath621.Sequencesandseriesoffunctions;uniformconvergence;powerseries;functionsofseveralvariables;inverseandimplicitfunctiontheorems;differentialforms;Stokes'theorem.Prereq:jrst;Math621(P)orconsinstr;orgradst.631ModernAlgebraI.3cr.U/G.Grouptheory,includingnormalsubgroups,quotients,permutationgroups,Sylow'stheorems,Abeliangroups;fieldtheory;linearalgebraovergeneralfields.Prereq:jrst;gradeofCorbetterinMath341(P)&eitherMath234(P)or240(P);consdeptadvisor;orgradst.632ModernAlgebraII.3cr.U/G.

ContinuationofMath631.Ringtheory,includingideals,quotientrings,Euclideanrings,polynomialrings,uniquefactorization;modules,includingvectorspaces,lineartransformations,canonicalforms;bilinearforms.Prereq:jrst;Math631(P)orconsinstr;orgradst.690(675)TopicsinMathematics:(Subtitled).3cr.U/G.SpecifictopicsandanyadditionalprerequisitesannouncedinScheduleofClasseseachtimecourseisoffered.Retakablew/chgintopicto9crmax.Prereq:jrst,atleastoneU/GMathorMthStatcourse;consinstr;orgradst.701IndustrialMathematicsI.3cr.G.Elementaryfunctionalanalysis,wavelets,controltheory.Useofmathematicalsoftwareemphasizedthroughout.Prereq:gradstinnatscidiscipline;Math522(P)or602(P)or622(P).702IndustrialMathematicsII.3cr.G.Optimalcontroltheory,digitalsignalprocessing,imageprocessing,linearprogramming,nonlinearoptimation,artificialneuralnetworks.Useofmathematicalsoftwareemphasizedthroughout.Prereq:gradstinnatscidiscipline;Math701(P).703BoundaryValueProblems.3cr.G.AnalyticmethodsforPDE'sinmathematicalphysics,emphasisongreen'sfunctions.Theoryofdistributions,fundamentalsolutions,generalizedeigenfunctionexpansions,generalizedfourierandlaplacetransforms.Prereq:gradst;Math322(P)&623(P).709DifferentialGeometry.3cr.G.Thetheoryofcurves,surfaces,andmanifoldsinmodernterminology.Globalresultsonclosedsurfaces,geodesics,differentialformsandtensorcalculus.introductiontoriemanniamgeometry.Prereq:gradst;Math522(P)or622(P).711TheoryofFunctionsofaRealVariableI.3cr.G.Equivalencerelations;cardinalandordinalnumbers;topologyofrealline;cantorandborelsets;lebesguemeasureonrealline;baireandmeasurablefunctions;lebesgueintegral.Prereq:gradst;Math522(P)&551(P);orMath622(P).712TheoryofFunctionsofaRealVariableII.3cr.G.Lebesgueintegration;modesofconvergence;lpspaces;vitalicoveringandlebesguedensitytheorems;diniderivates;differentiation;fundamentaltheoremofthelebesgueintegralcalculus;fubini'stheorem.Prereq:gradst;Math711(P).713TheoryofFunctionsofaComplexVariableI.3cr.G.Complexnumbers;lineartransformations;elementaryfunctions;conformalmapping;complexintegration;infinitesequences;dirichletproblem;multivaluedfunctions.Prereq:gradst;Math522(P)or621(P).

714TheoryofFunctionsofaComplexVariableII.3cr.G.ContinuationofMath713.Prereq:gradst;Math713(P).715NumericalAnalysis.3cr.G.Interpolationandapproximation;differentiationandquadrature;numericalsolutionofordinarydifferentialequations;solutionoflinearandnonlinearalgebraicequations.Prereq:gradst;Math413(P);Math521(P)or621(P).716OrdinaryDifferentialEquations.3cr.G.Existenceanduniquenesstheoremsforsystemsofode;qualitativepropertiesofsolutions,includingstabilityandasymptoticbehavior;generaltheoryoflinearsystems;sturm-liouvilleproblems.Prereq:gradst;Math522(P)or622(P).719PartialDifferentialEquations.3cr.G.Firstandsecondorderequations;characteristics,cauchyproblem;classicalsolutionsoflinearelliptic,parabolicandhyperbolicequations.Prereq:gradst;Math522(P)or622(P);math320(P).721AbstractMeasureandIntegration.3cr.G.Generaltheoryofmeasuresandintegration;differentiationofsetfunctions;relationtostochasticvariables;atomicmeasures;haarmeasureandintegralapplicationstoprobabilitytheory.Prereq:gradst;Math712(P).726IntroductiontoFunctionalAnalysis.3cr.G.Basicnotionsoffunctionalanalysisinhilbertspacewillbeintroduced.Theconceptswillbeillustratedbyapplicationstoelementarydifferentialandintegralequationproblems.Prereq:gradst;Math522(P)or622(P).731AbstractAlgebraI.3cr.G.Basiccoursewhichisprerequisiteforallother700-799levelcoursesinalgebra;groups,rings,fields,galoistheory,modules,andcategories.Prereq:gradst;Math632(P);consinstr.732AbstractAlgebraII.3cr.G.ContinuationofMath731.Prereq:gradst;Math731(P).735TheoryofGroups.3cr.G.Topicsselectedfrompermutationgroups;representationsofgroupsandalgebras;groupalgebras;groupcharacters;extensionproblems;simplegroups;solvableandnilpotentgroups.Prereq:gradst;Math732(P).736TheoryofRingsandModulesI.3cr.G.Noetherianandartinianringsandmodules;primitive,primeandsimpleringsandideals;radicals;localization;moritatheory;constructionandstudyofspecialclassesofrings.Prereq:gradst;Math732(P).

737TheoryofRingsandModulesII.3cr.G.ContinuationofMath736.Prereq:gradst;Math736(P)orconsinstr.751IntroductoryTopologyI.3cr.G.Fundamentalpropertiesandexamplesoftopologicalspacesandcontinuousfunctions,includingcompactness,connectedness,metrizability,completeness,productandquotientspaces,homeomorphisms,embedding,extension,andeuclideanspaces.Prereq:gradst;Math522(P)or621(P).752IntroductoryTopologyII.3cr.G.ContinuationofMath751.Prereq:gradst;Math751(P).753IntroductiontoAlgebraicTopologyI.3cr.G.Homologytheory;complexesandsimplicialhomologytheory;generalhomologytheories;cohomologyrings;applicationstomanifolds,fixedpointtheorems,etc.Prereq:gradst;Math632(P);Math551(P)or751(P)orconsinstr.754IntroductiontoAlgebraicTopologyII.3cr.G.ContinuationofMath753.Prereq:gradst;Math753(P).767StatisticalMethodsforEngineersandScientists.3cr.G.Elementarybaysiandecisiontheory;priorposteriorandpredictivedistributions;posteriorandpre-posterioranalysisoftwoactiondecisionproblems;conceptoflikelihoodfunctionsforbinomial,poisson,exponentialandnormaldistributions;simpleandmultipleregressionanalysis;introductiontoautoregressivemodels.NotopentostudentswhohavecrinElecEng767,whichisidenticaltoMath767.Prereq:gradst;Math362(P)ormath467(P).768AppliedStochasticProcesses.3cr.G.Conceptsinqueueingtheory;exponentialchannels;applicationsofmarkovchainstoqueueingproblems;queuedisciplineswithpriorities.NotopentostudentswhohavecrinElecEng768,whichisidenticaltoMath768.Prereq:gradst;Math361(P)ormath467(P).771TheoryofProbability.3cr.G.Measure-theoreticfoundations;limit-lawtheorems;weakandstronglawsoflargenumbers;centrallimitproblem;conditionalexpectations,martingales;stochasticprocesses.Prereq:gradst;Math471(C)or712(C).781IteratedMapsasDynamicalSystems.3cr.G.Periodic,recurrentandnon-wanderingpoints,kneadingtheory,unstablemanifolds,unimodalmappings,turbulentandchaoticmaps,symbolicdynamics,structuralstability,topologicalconjugacy,topologicaldynamics.Prereq:gradst;Math711(P)orconsinstr.790Master'sThesis.1-3cr.G.

Crcounttowardmastersdegreeonlyifstudentcompletesthesisoption.Prereq:gradst;consinstr.791Master'sSeminar.1-3cr.G.Maynotbetakenforcrmorethanonce.Prereq:gradst;consinstr.792IndustrialInternship.1-3cr.G.Studentsearncreditsforservinginanindustrialinternshipthatinvolvesworkofanadvancedmathematicalnature.Theymustprepareareportbasedontheinternship.Retakablew/chgintopicto6crmax.Prereq:gradst;consinstr.793ScientificComputationalLaboratory:(Subtitled).1-2cr.G.Retakablew/chgintopicto6crmax.Prereq:gradst;Math715(C).799SeminarinMathematics:(Subtitled).1-3cr.G.SpecifictopicsandanyadditionalprerequisitesannouncedinTimetableeachtimecourseisoffered.Retakablew/chgintopicto9crmax.Prereq:gradst&consinstr.801TopicsinAppliedMathematics:(Subtitled).3cr.G.SpecifictopicsandanyadditionalprerequisiteswillbeannouncedintheTimetableeachtimethecourseisoffered.Retakablew/chgintopicto9crmax.Prereq:gradst;consinstr.807GroupTheoryandItsApplicationstoPhysics.3cr.G.Representationsofdiscreteandcontinuousgroups,includingrotationgroups,unitarygroupsandcrystalpointandspacegroups.Symmetriesofelementaryparticles.Molecularobitals,energybands.CountsasarepeatofPhysics807.Prereq:gradst;Physics532(P).809TopicsinDifferentialGeometry:(Subtitled).1-3cr.G.SpecifictopicsandanyadditionalprerequisiteswillbeannouncedintheTimetableeachtimethecourseisoffered.TopicsmaybeselectedfromRiemanniangeometry,minimalsurfacesandsurfacesofprescribedmeancurvature,geometricpartialdifferentialequations,orrelatedareasofgeometry.Retakablew/chgintopicto9crmax.Prereq:gradst;consinstr.813NumericalSolutionofOrdinaryDifferentialEquations.3cr.G.Methodsforinitialvalueandboundaryvalueproblems;stiffequations,singularpointsandbifurcation.Prereq:gradst;Math715(P).814NumercalSolutionofPartialDifferentialEquations.3cr.G.Finitedifferenceandfiniteelementmethodsforlinearelliptic,parabolicandhyperbolicequations;nonlinearequations.Prereq:gradst;Math715(P).815TopicsinNumericalAnalysis:(Subtitled).3cr.G.Retakablew/chgintopicto9crmax.Prereq:gradst;Math715(P).

816AdvancedOrdinaryDifferentialEquationsI.3cr.G.Existenceanduniquenesstheorems;singularityofsolutions;oscillationandcomparisontheorems;poincare-bendixontheory.Prereq:gradst;Math716(P).817AdvancedOrdinaryDifferentialEquationsII.3cr.G.ContinuationofMath816;dynamicalsystems,bifurcationtheory,topologicalmethods.Prereq:gradst;Math816(P).821AdvancedTopicsinRealAnalysis:(Subtitled).3cr.G.SpecifictopicsandanyadditionalprerequisiteswillbeannouncedintheTimetableeachtimethecourseisoffered.Retakablew/chgintopicto9crmax.Prereq:gradst;Math712(P).825FunctionalAnalysis.3cr.G.Basictheoremsofb-spacesandf-spacesincludingtheclosedgraph;Hahn-BanachandBanach-Steinhaustheorems;Banachalgebras;generalizedfunctions;spectraltheory.Prereq:gradst;Math712(P).841AdvancedTopicsinAlgebra:(Subtitled).3cr.G.SpecifictopicsandanyadditionalprerequisiteswillbeannouncedintheTimetableeachtimethecourseisoffered.Retakablew/chgintopicto9crmax.Prereq:gradst;Math732(P);consinstr.843HomologicalAlgebraI.3cr.G.Modules;diagrams;categories;functors;complexes;cohomology;extensions;resolutions;injectiveandprojectivesystems;gradedmodules;homologicaldimension;spectralsequences;derivedfunctors.Prereq:gradst;Math731(P).844HomologicalAlgebraII.3cr.G.ContinuationofMath843.Prereq:gradst;Math843(P).851AdvancedTopicsinTopology:(Subtitled).3cr.G.SpecifictopicsandanyadditionalprerequisiteswillbeannouncedintheTimetableeachtimethecourseisoffered.Retakablew/chgintopicto9crmax.Prereq:gradst;Math752(P);consinstr.873AdvancedTopicsinProbability:(Subtitled).3cr.G.SpecifictopicsandanyadditionalprerequisiteswillbeannouncedintheTimetableeachtimethecourseisoffered.Retakablew/chgintopicto9crmax.Prereq:gradst;consinstr.881TopicsinNonlinearDynamics:(Subtitled).3cr.G.SpecifictopicsandanyadditionalprerequisiteswillbeannouncedintheTimetableeachtimethecourseisoffered.Retakablew/chgintopicto9crmax.Prereq:gradst;Math711(P);consinstr.

888CandidateforDegree.0cr.G.Availableforgraduatestudentswhomustmeetminimumcreditloadrequirement.Feefor1crassessed.Prereq:gradst.990ReadingandResearch.1-6cr.G.Tobearrangedwithyourinstructoranddepartmentchair.Retakable.Prereq:gradst.14.3MathematicalStatistics

361IntroductiontoMathematicalStatisticsI.3cr.U/G.Probabilityspaces;discreteandcontinuous,univariateandmultivariatedistributions;moments;independence,randomsampling,samplingdistributions;normalandrelateddistributions;pointandintervalestimation.Notrecomforgradstudentsinmath,orstudentsnotplanningtotakeMthStat362.Prereq:jrst;Math233(P).362IntroductiontoMathematicalStatisticsII.3cr.U/G.Testingstatisticalhypothesis;linearhypothesis;regression;analysisofvarianceandexperimentaldesigns;distribution-freemethods;sequentialmethods.Notrecomforgradstudentsinmath.Prereq:jrst;MthStat361(P).462DataAnalysisandGraphingUsingSAS-II.2cr.U/G.ContinuationofMthStat461.ProceduresGLM,LIFEREG,LIFETEST,LOGISTIC,PROBITandadvancedGRAPHING.Offeredsecondhalfofsem.Ucrdoesnotcounttowardmathscimajor.Prereq:jrst;MthStat461(P)orconsinstr.465IntroductoryMathematicalStatisticsforSocialSciencesandEducation.3cr.U/G.Probabilitydistributions;parameterestimationandconfidenceintervals;hypothesistesting;applications.Notopenforcrtostudentsw/crinMthStat467,362,orforgradcrinmath.NotopenforcrtowardmajorinmathexceptinSchoolofEducation.Prereq:jrst;Math211(P)or232(P).467IntroductoryStatisticsforPhysicalSciencesandEngineeringStudents.3cr.U/G.Conceptsofprobabilityandstatistics;probabilitydistributionsofengineeringapplications;samplingdistributions;hypothesistesting,parameterestimation;experimentaldesign;regressionanalysis.NotopenforcrforMathmajorsorstudentswithcrinMthStat362or465.IndEng467&MthStat467arejointlyoffered&countasrepeatsofoneanother.Prereq:jrst;Math233(P).469Biostatistics.3cr.U/G.Simpledistributions,estimationandhypothesistesting,simpleregression,analysis

ofvariance,nonparametricmethodsinbiology.Demographyandvitalstatisticsandbioassayandclinicaltrials.NotallowedaspartofcorecurricforMathmajors.NotopenforcrtostudentswithcrinMthStat569&notopenforgradcrinMath.Prereq:jrst;anelementarystatscourse.562DesignofExperiments.3cr.U/G.Latinsquares;incompleteblockdesigns;factorialexperiments;confounding;partialconfounding;split-plotexperiments;fractionalreplication.Prereq:jrst;MthStat362(P);Math234(P)or240(P).563RegressionAnalysis.3cr.U/G.Straightline,polynomialandmultipleregression;multipleandpartialcorrelation;testinghypothesesinregression;residualanalysis.Prereq:jrst;MthStat467(P)or362(P).564TimeSeriesAnalysis.3cr.U/G.Autocorrelation;spectraldensity;linearmodels;forecasting;modelidentificationandestimation.Prereq:jrst;MthStat362(P).565NonparametricStatistics.3cr.U/G.Sign,rankandpermutationtests;testsofrandomnessandindependence;methodsfordiscretedataandzeroesandties;powerandefficiencyofnonparametrictests.Prereq:jrst;MthStat362(P).566ComputationalStatistics.3cr.U/G.Basicsofprogrammingandoptimizationtechniques;resampling,bootstrap,andMonteCarlomethods;designandanalysisofsimulationstudies.Prereq:jrst;MthStat362(P)orconsinstr.568MultivariateStatisticalAnalysis.3cr.U/G.Multivariatenormaldistribution;Wishartdistribution;Hotelling'sT2;multivariatenormaldistribution;multivariateanalysisofvariance;classificationproblems.Prereq:jrst;MthStat362(P);Math234(P)or240(P).596ActuarialStatisticsI:FittingofLossModels.3cr.U/G.Statisticalmodelingofinsurancedata.Modelspecification,fittingandvalidation.Measuresofconfidenceformodel-baseddecisions.Prereq:jrst;B-orbetterineachMath234(P)andMthStat362(P);CompSci151(P)or201(P);orconsinstr.597ActuarialStatisticsII:Credibility,RiskMeasuresandRelatedTopics.3cr.U/G.Statisticaltechniquesforinsurancedata.Credibilityandratemaking.Riskmeasures.Dependentrisksandcopulas.Simulations.Prereq:jrst;B-orbetterineachMath234(P)andMthStat362(P);CompSci151(P)or201(P);orconsinstr.691ActuarialModelsI:LifeContingencies.3cr.U/G.Modelingandvaluationofcashflowsdependentondeath,survivalandother

randomevents.Survivalmodelsforsingleandmultiplerisks.Lifeinsurancesandannuities.Prereq:jrst;B-orbetterineachMath571(P)andMath311(P);orconsinstr.692ActuarialModelsII:FinancialEconomics.3cr.U/G.Modelingandmanagingoffinancialrisks.Interestratemodels.Valuationofderivativessecurities.Riskmanagement.Prereq:jrst;B-orbetterineachMath571(P)andMath311(P);orconsinstr.761MathematicalStatisticsI.3cr.G.Probabilityanddistributiontheory;pointandintervalestimation;testinghypotheses;largesampleinference;nonparametricinference;sequentialanalysis.Prereq:gradst;Math522(C)or622(C).762MathematicalStatisticsII.3cr.G.ContinuationofMthStat761.Prereq:gradst;MthStat761(P).795ActuarialRiskTheory.3cr.G.Riskmodels;premiumprinciples;reinsurancecontracts;ruintheory;orderingofrisks;bonus-malussystems;IBNRtechniques.Prereq:gradst;Math571(P)&MthStat596(P),orconsinstr863HypothesisTesting.3cr.G.Exponentialfamilies;uniformlymost--powerfultests;leastfavorablepriors;unbiasedtests;invarianttests;applicationstoexponentialfamiliesandthegenerallinearhypothesis.Prereq:gradst;MthStat762(P).869AdvancedTopicsinMathematicalStatistics:(Subtitled).3cr.G.SpecifictopicsandanyadditionalprerequisiteswillbeannouncedintheTimetableeachtimethecourseisoffered.Retakablew/chgintopicto9crmax.Prereq:gradst;MthStat762(P).