MSc Programme - d1rkab7tlqy5f1.cloudfront.net mathematics is absolutely essential. ... that arise in...

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In a world very much dominated by technology, applied mathematics is absolutely essential. It plays an important part in engineering, construction, finance, budgeting, planning, policymaking and countless other activities. Diploma Master of Science Applied Mathematics Credits 120 ECTS, 24 months Starts in September Language of instruction English % International students 20% Just imagine what would happen if someone were to devise a model that could make accurate predictions for fluctuations in the stock market. There can be little doubt that such a model -a typical example of applied mathematics- would become an important tool for investors all around the world. Computational and mathematical tools are used to predict the behaviours of technical, physical and even social systems, ranging from tomorrow’s weather to the viability of social insurance systems and the global climate one hundred years from now. Applied mathematicians devise models and algorithms that influence our daily lives. For example, everybody uses search engines to find information on the internet. Thanks to advanced mathematical algorithms, these search engines give us this information in a fraction of a second. The TU Delft Master of Science programme in Applied Mathematics is designed for students with a Bachelor’s degree in Applied Mathematics or a closely related subject. When you join the MSc Programme in Applied Mathematics at TU Delft you will gain a thorough knowledge of applicable mathematics, in addition to developing expertise in applying the methods and tools of mathematics to problems in science and engineering. This programme focuses on the acquisition of broad experience in simulation and the mathematical modelling of problems in science and engineering, in the mathematical analysis of these models and in the implementation of the results. You will gain sufficient insight into the underlying mathematical theories, allowing you to develop new mathematical methods and techniques, if needed. Faculty of Electrical Engineering, Mathematics and Computer Science MSc Programme

Transcript of MSc Programme - d1rkab7tlqy5f1.cloudfront.net mathematics is absolutely essential. ... that arise in...

Inaworldverymuchdominatedbytechnology,appliedmathematicsisabsolutelyessential.Itplaysanimportantpartinengineering,construction,finance,budgeting,planning,policymakingandcountlessotheractivities.

Diploma MasterofScienceAppliedMathematics

Credits 120ECTS,24months

Startsin September

Languageofinstruction

English

%Internationalstudents

20%

Justimaginewhatwouldhappenifsomeoneweretodeviseamodelthatcouldmakeaccuratepredictionsforfluctuationsinthestockmarket.Therecanbelittledoubtthatsuchamodel-atypicalexampleofappliedmathematics-wouldbecomeanimportanttoolforinvestorsallaroundtheworld.

Computationalandmathematicaltoolsareusedtopredictthebehavioursoftechnical,physicalandevensocialsystems,rangingfromtomorrow’sweathertotheviabilityofsocialinsurancesystemsandtheglobalclimateonehundredyearsfromnow.Appliedmathematiciansdevisemodelsandalgorithmsthatinfluenceourdailylives.Forexample,everybodyusessearchenginestofindinformationontheinternet.Thankstoadvancedmathematicalalgorithms,thesesearchenginesgiveusthisinformationinafractionofasecond.

TheTUDelftMasterofScienceprogrammeinAppliedMathematicsisdesignedforstudentswithaBachelor’sdegreeinAppliedMathematicsoracloselyrelatedsubject.WhenyoujointheMScProgrammeinAppliedMathematicsatTUDelftyouwillgainathoroughknowledgeofapplicablemathematics,inadditiontodevelopingexpertiseinapplyingthemethodsandtoolsofmathematicstoproblemsinscienceandengineering.

Thisprogrammefocusesontheacquisitionofbroadexperienceinsimulationandthemathematicalmodellingofproblemsinscienceandengineering,inthemathematicalanalysisofthesemodelsandintheimplementationoftheresults.Youwillgainsufficientinsightintotheunderlyingmathematicaltheories,allowingyoutodevelopnewmathematicalmethodsandtechniques,ifneeded.

FacultyofElectricalEngineering,MathematicsandComputerScience

MScProgramme

MijkeCarlier(Netherlands)

IcompletedmyBachelor’sdegreeinMathematicsatLeidenUniversity.AspartofmyBachelor’s,ItooksomeappliedcoursesatDelftUniversityofTechnology,whichIfoundmoreinterestingthanthetheoreticalcourses.IthereforedecidedthatIwantedtodoaMaster’sinAppliedMathematicsatTUDelft.WhatIreallylikeaboutthecoursesinthisMaster’sprogrammeisthattheyallincludesomesortofprojectwork.TheseprojectsinvolvevariousdisciplinessuchasPhysics,CivilEngineeringandComputerScience.AtTUDelft,itiscommontodoexercisesandprojectsingroupswithotherstudentssothatyoucanlearnfromeachother,whichalsomakestheworkeasier.

Anotherimportantaspectisthatyouhavealotoffreedominchoosingyourcourses,whichallowsyoutotrydifferentthingsandfindoutwhatyouaremostinterestedin.Themembersoftheacademicstaffarereallyapproachableandhelpful.Ifyouhaveaquestionabouthomeworkorcoursesthatyoumightwanttotake,youcanjustgototheprofessor’sofficeandaskhimorherforhelp.Delftitselfisareallygreatstudentcity.Ithaslotsofnicelittlecoffeeplaces,butalsoaverybusycitycentrewithalotofrestaurantsandbars,soafterahardday’sstudyyouhaveplentyofopportunitiestorelaxandenjoyyourself.

Formoreinformationonallcourses,pleasevisit:www.studyguide.tudelft.nl

Youcanspecialiseinthefollowingsubjects:

ProbabilityandStatisticsfocusesonthemodellingandmathematicalanalysisofscientificandengineeringproblemsthatarecharacterisedbyuncertainty.Itincludescoursesinappliedprobability,riskanalysisandstatistics.

ComputationalScienceandEngineeringfocusesonmathematicalmodellingandthesimulationofproblemsthatariseinscienceandengineering,themathematicalanalysisofsuchmodelsandthedevelopmentofnewmathematicalmethodsandtechniquesforanalysingsuchproblems.Itincludescoursesinmathematicalphysics,numericalanalysisandmathematicalsystemtheory.

FinancialEngineeringfocusesonthedevelopmentandapplicationofquantitativemethodsinfinanceandeconomics.Thespecialisationsofferasolidbackgroundinfinancialmathematics,probabilityandnumericalmethods.

Analysisprovidesthemathematicaltoolsrequiredfortherigorousanalysisofmathematicalmodels.Suchmodelsaretypicallyformulatedasapartialdifferentialequation.Apartfromveryspecialcases,aclosed-formsolutioncannotbegiven,anddeepertoolsarerequiredtostudythepropertiesofthesolutions.Ifyouchoosethisspecialisationyouwilllearnmethodsthatcomefromapproximationtheory,Fourieranalysis,functionalanalysisandstochasticanalysis,tohelpyoufindthesesolutions.

Youwillalsolearnhowtoapplytheseabstractmethodstoconcretemodelsarisingintheappliedsciences.

Optimisationfocusesonproblemsfromabroadperspective.Youlearntodevelopandanalysemodels,investigatecomputationalcomplexity,andhowtodesign,analyse,implementandtestalgorithms.Themainfocusisondeterministicoptimisation.ThespecialisationOptimisationisatheorybasedstudy,butyouwillalsolookintoreal-lifeapplicationsinthefieldofhealth,logisticsenergyetc.

Prof.GeurtJongbloed

IamaprofessorofstatisticsattheDelftInstituteofAppliedMathematics.Myresearchfocusesonmathematicalmodellingandtheanalysisofincompleteandcorrupteddata.Suchdataoccurinmanyapplications.Theaspectofappliedmathematicsthatattractsmethemostisitsbreadth,asitinvolvesreal-lifeapplicationsand(inmyopinion)beautifulmathematics.Collaborationwithexpertsinavarietyofdisciplinesisalsoinspiring.Oneofmygraduatestudentsrecentlyenteredthefield

offorensicscience.AttheNetherlandsForensicInstitute,IdevelopedamodelforquantifyingthestrengthofproofwhenapartialDNAprofileisfoundatacrimescene.Studentsofappliedmathematicsacquirethoroughknowledgeofmathematicsandlearntoapplyittoreal-lifeproblems.Ourstudentsareoftencomplimentedbytheiremployersfortheirproblem-solvingattitudes,mathematicalcreativityandprogrammingskills.

testwitregel

TheRiesztransformonacompleteRiemannianmanifoldwithRiccicurvatureboundedfrombelow(Analysis,internal)InvestigationofDifferentSolversforRadiotherapyTreatmentPlanningProblems(CSE,withErasmusMedicalCenter)NumericalPricingofBermudanOptionswithShannonWaveletExpansions(FinancialEngineering,withCRMBarcelona)ComputationalapproachesfortheMINLPwastewaternetworkmodel(Optimisation,withORTEC)Theevidentialvalueofgunshotresiduecompositioncomparisons.(ProbabilityandStatistics,withNFI)

ThereisacloseconnectionbetweenDelftUniversityofTechnologyandindustry.Duringyourstudyyouwillgettheopportunitytogetincontactwithcompaniesandbuildanetwork.BesidesinternshipsandthesisprojectsatcompaniesyoucanalsogetincontactwithcompaniesviatheEEMCSrecruitmentdaysorthetechnicalcareerfairofTUDelft.

Mathematicalexpertsarehighlydesiredfortheirabilitytopredictandoptimisepropertiesoftechnicalorphysicalsystemsthathaveyettoberealised,usingcomputationalandmathematicaltools.Appliedmathematiciansareinparticulardemandasconsultants,

scientificsoftwaredevelopers,projectmanagersorresearchersinlargeindustriesandresearchinstitutes,includingDelftHydraulics(WL),NationalAerospaceLaboratory(NLR),TNOandtheRoyalNetherlandsMeteorologicalInstitute(KNMI).Inaddition,manyopportunitiesexistintheresearchdepartmentsoflargeindustrialcompanies(e.g.Philips,Shell,AKZO-NobelandKPN).AdvancesinmathematicalfinancehavecreatedademandforappliedmathematiciansinsuchfinancialinstitutionsasABNAmro,aswellasingovernmentalorganisationslikeRijkswaterstaatandCBS.Furthermore,excellentstudentscanchoosetopursueaPhDdegreeatauniversity.

IfyouholdaDutchBScdegreecloselyrelatedtotheMaster’sprogramme,youwillbeadmitteddirectly.However,ifyourundergraduateprogrammeisnotcloselyrelatedtotheMaster’sprogrammeyouwillberequiredtotakeadditionalcoursesinwhatiscalledabridgingprogramme.Thismaybeastandardprogrammeoritmaybetailoredtoyourspecificsituation.

ToseewhichMaster’sprogrammesareopentoyouoncompletionofyourbachelor’sdegreefromanon-technicalDutchuniversitygotowww.studychoice.nlIfyoucompletedyourbachelor’satatechnicaluniversity,gotowww.doorstroommatrix.nl

TobeconsideredforadmissiontoanMScprogrammeyouwillneedtomeetTUDelft’sgeneraladmissionrequirements.

1. AUniversityBachelor’sdegree(orproofthatyouhavenearlycompletedaBachelor’sprogramme)inamainsubjectcloselyrelatedtotheMScprogrammetowhichyouareapplying,withgoodgradesonthekeycourses.

2. ABScCumulativeGradePointAverage(CGPA)ofatleast75%ofthescalemaximum

3. ProofofEnglishlanguageproficiency:ATOEFL(TestofEnglishasaForeignLanguage)withanoverallBandscoreofatleast90andaminimumscoreof21foreachsection.PleasenotethatweonlyaccepttheTOEFLinternet-basedtest.AnIELTS(academicversion)withanoverallBandscoreofatleast6.5andaminimumof6.0foreachsection.OrproofthatyouhavepassedtheUniversityofCambridge'CertificateofProficiencyinEnglish'withaminimumgradeBortheUniversityofCambridge'CertificateinAdvancedEnglish'

Forinternationalstudents,theapplicationperiodstartsOctober1andclosesatApril1.TostartanMScapplication,pleasecompletetheonlineapplicationandpaytherefundableapplicationfeeof€100.Next,youwillreceiveanemailwiththelinktouploadtherequireddocuments.

FormoreinformationabouttheapplicationprocedureandstudyingatTUDelftingeneral,gotowww.admissions.tudelft.nl

Allinternationalstudentswillbewelcomedwiththeaward-winningintroductionprogramme.Theintroductionconsistsofavarietyofworkshopsandprojects,duringwhichyouwillgettoknowotherinternationalstudents,visitthehighlightsofDelftandlearntheinsandoutsoftheTUDelftcampus.

Afterthisveryinterestingandfunweek,youwillbeintroducedtotheEEMCSfaculty.DuringtheMasterKickOff,youwillreceivehelpfulinformationabouttheDutcheducationsystemandmeetthefellowstudentsfromyourprogrammeinavarietyofsocialandeducationalactivities.

Pleasevisitthewebpageforalldetails,completerequirements,deadlinesandcontactinformation,pleasevisit:

Dr.ir.M.B.vanGijzenMaster’sCoordinatorT+31(0)152782519E

Forgeneralinformation,pleasecontact:E

EEMCSFacultyMekelweg42628CDDelft

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