MATEMATİK - İSTATİSTİK
Transcription
MATEMATİK - İSTATİSTİK
!" ""!## $%&'()(*+*), -&./01(021.0.34&./01(02/.1. ,4 $#567""8*!5&09)10&:%*6)5-; -)34&<=.>109?((=1..0 ! MATEMATİK - İSTATİSTİK YAYIN KATALOĞU *HQHO©0DWHPDWLN©õ©7HNQLN©0DWHPDWLN©õ©ěVWDWLVWLN©õ©2ODVÔOÔN (NRQRPHWUL©õ©0DWHPDWLN©güUHWLPL $d,./$0$/,«ĝ67$7ĝ67ĝ.«7(5ĝ0/(5ĝ«6g=/hýh G|QPH©KDUHNHWL©YH\D©EX©LNL©KDUHNHWLQ©EHOOL©ELU©VÔUDGD©X\JXODQDUDN©HOGH©HGLOHQ© ELOHþNH©G|QþP©X\JXODQPÔþ©YH©NRQLüLQ©VWDQGDUW©GHQNOHPLQLQ©LIDGH©HGLOGLüL© \HQL©ELU©NRRUGLQDW©VLVWHPLQH©JHoLOHUHN©FLQVLQLQ©EHOLUOHQLS©JHRPHWULN©þHNOLQLQ© oL]LOPHVL©VDüODQPÔþWÔU©<XNDUÔGD©EDKVHGLOHQ©G|QþPOHUL©WDQÔPODPDN©LoLQ© JHUHNOL©RODQ©YHNW|U©PDWULV©YH©GHWHUPLQDQWODU©JLEL©FHELUVHO©NRQXODUD©GD©NÔVDFD© NLWDSWD©\HU©YHULOPLþWLU 1LOJQ«.|NO « ÷÷÷«««%$6.,««««÷«««6$<)$««c $/$1«%ĝ/*ĝ6ĝ÷0$7(0$7ĝ.«gý5(70(1/ĝýĝ (GLW|U«$KPHW«'HUQHN 0LOOv©(üLWLP©%DNDQOÔüÔ©©\ÔOÔQGDQ©LWLEDUHQ©|üUHWPHQ© DGD\ODUÔ©LoLQ©.366´\H©JHQHO©\HWHQHN©JHQHO©NOWU©YH© HüLWLP©ELOLPOHUL©VRUXODUÔQÔQ©\DQÔ©VÔUD©DODQ©ELOJLVL©YH©DODQ© HüLWLPL©VRUXODUÔQÔ©GD©HNOHPLþWLU©0(%©E|\OHFH©DODQÔQGD© X]PDQ©NLþLOHUL©DWDPDN©\ROXQGD©ELU©DGÔP©DWPÔþWÔU©%X© |üUHWPHQ©DGD\ODUÔPÔ]©LoLQ©\HQL©YH©VÔNÔFÔ©VRUXODU©RODUDN© J|UOHELOLU©$QFDN©EX©GXUXPXQ©X]PDQODþPD©\ROXQGD© L\L©ELU©JHOLþPH©ROGXüX©LQDQFÔQGD\Ô]©%X©oDOÔþPDPÔ]ÔQ© DPDFÔ©\HQLOHQHQ©VÔQDY©VLVWHPL\OH©.366´GH©\HU©DODFDN© RODQ©DODQ©ELOJLVL©YH©DODQ©HüLWLPL©VÔQDYODUÔQD©0DWHPDWLN© |üUHWPHQL©DGD\ODUÔQÔ©KD]ÔUODPDNWÔU©.LWDEÔPÔ]ÔQ©\D]DUODUÔ©7UNL\H´QLQ©IDUNOÔ©QLYHUõ VLWHOHULQGH©J|UHY©\DSDQ©DODQODUÔQGD©X]PDQ©|üUHWLP©\HOHULQGHQ©ROXþPDNWDGÔU© .LWDEÔQ©EX©\HQL©EDVNÔVÔQGD©DODQ©HGLW|UOHUL©GH©J|UHY©DOPÔþ©YH©VÔQDY©VLVWHPLQH© X\JXQ©\HQL©G]HQOHPHOHU©\DSPÔþODUGÔU©.LWDSWD©D\UÔQWÔOÔ©NRQX©DQODWÔPODUÔQD© o|]PO©VRUXODUD©NRQX©WHVWOHULQH©YH©GHQHPH©VÔQDYODUÔQD©\HU©YHULOPHNWHGLU « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c $1$/ĝ= 0XVWDID«%D\UDNWDU « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c $1$/ĝ=«, $KPHW«'HUQHN *HOLþWLULOPLþ©©EDVNÔVÔQÔ©\DSWÔüÔPÔ]©$QDOL]©,©NLWDEÔPÔ]D© EX©\HQL©EDVNÔVÔQGD©oRN©PLNWDUGD©o|]PO©SUREOHP© HNOHGLN.LWDS©)HQ©YH©0KHQGLVOLN©)DNOWHOHULQLQ©ELULQFL© VÔQÔIÔQGD©YHULOPHNWH©RODQ©$QDOL]©,õ,,©0DWHPDWLN©,õ,,© GHUVOHULQLQ©SURJUDPÔQD©X\JXQ©RODUDN©KD]ÔUODQPÔþWÔU© %LULQFL©E|OPGH©UHHO©VD\ÔODUÔQ©WDQÔWÔPÔ©VÔUDODPD© VÔQÔUOÔ©NPHOHU©NRPþXOXN©NDYUDPÔ©JLEL©WHPHO©NRQXODU© LQFHOHQPHNWHGLU©6RQUDNL©E|OPOHUGH©IRQNVL\RQODU© UHHO©VD\Ô©GL]LOHUL©HOHPDQWDU©IRQNVL\RQODU©VHULOHU© IRQNVL\RQODUGD©OLPLW©VUHNOLOLN©WUHY©YH©LQWHJUDO© NDSVDPOÔ©RODUDN©HOH©DOÔQPDNWDGÔU « ÷÷÷÷«««%$6.,««««÷«««6$<)$«5(1./ĝ«««c $/*25ĝ70$««$/*25ĝ7+06 5REHUW«6HGJHZLFN«.HYLQ«:D\QH« dHYLUL«(GLW|U«ÿDGL«(YUHQ«ÿHNHU « ÷÷÷÷««*(/ĝÿ7ĝ5ĝ/0ĝÿ««%$6.,««««÷«««6$<)$««c $5$ÿ7,50$«9(«g51(./(0(«<g17(0/(5ĝ ÿDQVOÖ«ÿHQRO *QP]GH©DUWÔN©UHWLOHQ©ELOJLQLQ©VÔQÔU©WDQÔPDGÔüÔ© ELOLQPHNWHGLU©%LOLP©YH©WHNQRORML©DODQÔQGD©PH\GDQD© JHOHQ©EX©RODüDQVW©JHOLþPHOHU©ELOJL\L©HOLQGH© EXOXQGXUDQ©ELOJL\L©UHWHQ©ONHOHUL©GDKD©DYDQWDMOÔ© YH©GDKD©HJHPHQ©GXUXPD©JHWLUPHNWHGLU©ěVWDWLVWLN© ELOLPL©\HQL©DUDþWÔUPDODUOD©YH©\HQL©\|QWHPOHUOH©VUHNOL© JHOLþHQ©YH©GLüHU©ELOLPOHULQ©WP©DODQODUÔQD©X\JXODQDõ ELOHQ©GLVLSOLQOHU©DUDVÔ©ELU©ELOLP©GDOÔ©ROGXüXQGDQ©EX© JHOLþPHOHUGH©E\N©ELU©SD\D©VDKLSWLU©7RSOXPXQ©KHU© NHVLPLQGH©NOWUHO©VRV\DO©HNRQRPLN©NRQXODUGDNL© YHULOHUH©GD\DQDUDN©\DSÔODQ©DUDþWÔUPDODU©WRSOXP© GLQDPLNOHULQL©EHOLUOL©DPDoODUD©J|UH©\|QOHQGLUPHNWH©YH©SUREOHPOHULQ©o|]P© LoLQ©VWUDWHMLOHU©ROXþWXUPDGD©LVWDWLVWLNVHO©DUDþWÔUPDODUD©JHUHNVLQLP©GX\XOPDNWDõ GÔU©*QP]GH©|QHPL©JLWWLNoH©DUWDQ©DUDþWÔUPDODUGDQ©HOGH©HGLOHQ©VRQXoODUD© JYHQPHN©JHOHFHüH©LOLþNLQ©WDKPLQOHU©\DSDELOPHN©LoLQ©|]HOOLNOH©DUDþWÔUPDQÔQ© SODQODPD©DþDPDVÔ©oRN©|QHPOLGLU©7RSODQDQ©YHULOHULQ©DPDoOD©|UWþWüQGHQ©YH© JHUHNOL©YHULOHULQ©GHüHUOHQGLULOGLüLQGHQ©HPLQ©ROXQPDOÔGÔU©*QP]GH©DUDþWÔUPD© \DSPDPD©VHoHQHüL©JLGHUHN©WHUN©HGLOPLþ©ROXS©DUDþWÔUPDODU©oRüXQOXNOD©D]DOWÔOPÔþ© IL\DW©GDKD©E\N©KÔ]©GDKD©E\N©HüLP©YH©GDKD©E\N©GRüUXOXN©JLEL©\DUDUODUÔ© RODQ©|UQHNOHPH©\|QWHPOHUL©LOH©\DSÔOPDNWDGÔU©%X©NLWDS©ELOLPVHO©DUDþWÔUPDODU©LoLQ© JHUHNHQ©|UQHNOHPH©\|QWHPOHUL©LoLQ©L\L©ELU©]HPLQ©VDüODPDN©]HUH©JHOLþWLULOHQ© LVWDWLVWLN©WHRULVL©LOH©ELUOLNWH©DUDþWÔUPD©YH©|UQHNOHPH©\|QWHPOHULQL©LoHUPHNWHGLU « «d(9ĝ5ĝ'( $1$/ĝ7ĝ.«*(20(75ĝ $ULI«6DEXQFXRþOX %X©NLWDS©QLYHUVLWHOHULPL]LQ©ELULQFL©\D©GD©LNLQFL© VÔQÔIODUÔQGD©RNXWXODQ©±$QDOLWLN©*HRPHWUL²©GHUVõ OHULQH©\DUGÔPFÔ©ROPDN©DPDFÔ\OD©KD]ÔUODQPÔþWÔU© *HQHO©RODUDN©PDWHPDWLN©GHUVOHULQGH©LþOHQLOHQ© NRQXODUÔ©NHVNLQ©oL]JLOHUOH©ELUELULQGHQ©D\ÔUPDN© RODQDNVÔ]GÔU©%X©VHEHSOH©|üUHQFLOHULPL]LQ©/LQHHU© &HELU©GHUVOHULQGH©J|UPþ©ROGXüX©ED]Ô©NRQXODU©GD© ELOJL©DQODPÔQGD©NDWNÔ©VDüODPDVÔ©DoÔVÔQGDQ©NLWDED© GkKLO©HGLOPLþWLU©.LWDSWD©\HU©DODQ©NRQXODU©ELUELUL© LOH©LOLþNLOHQGLULOHUHN©LþOHQLþLQGH©YH©NDYUDPODUGD© ]LKLQGH©VRUX©LþDUHWL©ROXþWXUDFDN©ERþOXN©NDOPDPDVÔQD©|]HQ©J|VWHULOPLþWLU©.LWDSWD© \HU©DODQ©E|OPOHU©G]OHPGH©YH©X]D\GD©YHNW|UOHU©X]D\GD©GRüUX©YH©G]OHP© NRQLNOHU©JHQHO©NRQLN©GHQNOHPL©YH©\]H\OHU©EDþOÔNODUÔ©DOWÔQGD©WRSODQPÔþWÔU « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c « ÷÷÷÷«««%$6.,««««;«««6$<)$«««c Æ6Æ5÷,«%Æ.ĝ<(«÷÷ $1$/ĝ7ĝ.«*(20(75ĝ 6DOLK«=HNL«<D\ÖQD«+D]ÖUOD\DQ«0HOHN«'RVD\«*|NGRþDQ 5HFHS«$VODQHU %X©NLWDS©QLYHUVLWHOHULPL]LQ©IHQ©HGHEL\DW©YH©HüLWLP© IDNOWHOHULQLQ©PDWHPDWLN©E|OPOHULQGH©OLVDQV©VHõ YL\HVLQGH©RNXWXODQ©±$QDOLWLN©*HRPHWUL²©GHUVOHULQH© \DUGÔPFÔ©ROPDN©DPDFÔ\OD©KD]ÔUODQPÔþWÔU©.LWDSWD©OLVDQV© VHYL\HVLQGH©JHUHNOL©RODELOHFHN©ELUoRN©ELOJL\H©YH©NRQX\D© \HU©YHULOPH\H©oDOÔþÔOPÔþWÔU©%XQODU©G]OHP©G]OHPGH© GRüUX©YH©X]D\GD©GRüUX©JLEL©WHPHO©NDYUDPODUGÔU© 8]D\GD©ELU©G]OHPVHO©HüUL©RODQ©NRQLNOHUL©JHQHO©GHQNõ OHPOHUL\OH©LQFHOHPHN©LoLQ©|QFHOLNOH©NDYUDPODU©VWDQGDUW© GHQNOHUL\OH©HOH©DOÔQDUDN©WHPHO©YH©\HGHN©HOHPDQODUÔ© WDQÔWÔOPÔþWÔU©'DKD©VRQUD©JHQHO©GHQNOHPL\OH©YHULOHQ© ELU©NRQLN©LoLQ©YHULOHQ©NRRUGLQDW©VLVWHPLQH©ELU©|WHOHPH©KDUHNHWL©YH©YH\D©ELU© QREHO#QREHO\D\LQFRP©õ©ZZZQREHO\D\LQFRP©õ©ZZZQREHON LWDSFRP©õ©ZZZHEDELO\D\LQODULFRP MATEMATİK - İSTATİSTİK *HQHO©0DWHPDWLN©õ©7HNQLN©0DWHPDWLN©õ©ěVWDWLVWLN©õ©2ODVÔOÔN (NRQRPHWUL©õ©0DWHPDWLN©güUHWLPL 7UN© ELOLP© WDULKL© YH© ELOLP© IHOVHIHVL© DUDþWÔUPDODUÔQÔQ© NXUXFXVX© RODQ© 6DOLK©=HNL©©\ÔOÔPGD©\D\ÔPODPD\D©EDþODGÔüÔ©$VDUõÔ©%DNL\H©DGOÔ©EX© \DSÔWÔQGD©2UWDoDü©ěVODP©'Q\DVÔ´QGD©\DSÔODQ©PDWHPDWLN©YH©DVWURQRPL© oDOÔþPDODUÔQÔ©EWQ©ER\XWODUÔ\OD©VHUJLOHPLþ©YH©EDWÔOÔ©RU\DQWDOLVWOHULQ© ELOHUHN©YH\D©ELOPH\HUHN©WDULKL©KDNLNDWOHUL©oDUSÔWPDODUÔQÔ©HQJHOOHPH\H© oDOÔþPÔþWÔU©6DOLK©=HNL©%H\©$VDUõÔ©%DNL\H©DGOÔ©PNHPPHO©\DSÔWÔQÔ©G|UW© FLOW©RODUDN©WDVDUODPÔþ©YH©%LULQFL©FLOGLQGH©7ULJRQRPHWUL©WDULKLQL©ěNLQFL© FLOGLQGH©KHVDS©YH©FHELU©WDULKLQL©hoQF©FLOGLQGH©$VWURQRPL©7DULKLQL© YH©'|UGQF©FLOGLQGH©GH©JHRPHWUL©WDULKLQL©NRQX©HGLQPLþWLU©$UDGDQ© JHoHQ©GRNVDQ©\ÔOGDQ©VRQUD©$VDUõÔ©%DNL\H´QLQ©JQP]©7UNoHVLQH© G|QþWUOHUHN©\HQLGHQ©EDVÔOPÔþWÔU QRQSDUDPHWULN© KLSRWH]© WHVWOHUL© |UQHNOHUOH© YH© NROD\©DQODþÔODFDN© ELU© VDGHOLNWH©EX©NLWDSWD©VXQXOPXþWXU©gUQHNOHULQ©KHU©ELUL©ELU©DUDþWÔUPD© NRQXVXQD©ÔþÔN©WXWDFDN©QLWHOLNWHGLUg]HOOLNOH©\NVHN©OLVDQV©YH©GRNWRUD© |üUHQFLOHULQLQ©ID\GDODQDFDüÔ©ELU©HVHUGLU « ÷÷÷÷«««%$6.,««««÷«««6$<)$«««c %ĝ<2ĝ1)250$7ĝ.«$/$1,1'$«ĝ67$7ĝ67ĝ. 9LOGD«3XUXWoXRþOX«(]JL«$\\ÖOGÖ] g]HOOLNOH©VRQ©\ÔOODUGD©ROGXNoD©SRSOHU©RODQ© EL\RLQIRUPDWLN©NRQXVX©GLVLSOLQOHUDUDVÔ©ELU© DUDþWÔUPD©DODQÔGÔU©'ROD\ÔVÔ\OD©EX©DODQGD© ELOJLVD\DU©PKHQGLVOLüLQGHQ©EL\RORML\H© JHQHWLNWHQ© LVWDWLVWLüH© YH© PDWHPDWLüH© NDGDU©ELUoRN©IDUNOÔ©E|OPGH©DUDþWÔUPDFÔODU© oDOÔþPDNWDGÔU « &ĝ/7««÷÷÷;«««%$6.,««««÷«««6$<)$««c « &ĝ/7««÷÷÷«««%$6.,««««÷«««6$<)$««c « &ĝ/7««÷÷÷;«««%$6.,««««÷«««6$<)$««c %$1.$&,/,.7$«5ĝ6.«<g1(7ĝ0ĝ«÷5LVN«0DWULVL«8\JXODPDVÖ÷ $KPHW«<DUÖ] %X©NLWDS©LþWH©WP©EX©IDUNOÔ©E|OPOHUGHQ© EL\RLQIRUPDWLN©DODQÔQGD©X]PDQODþDQ©DUDþWÔUõ PDFÔODUD©YH©EX©DODQOD©LOJLOHQPH\H©EDþOD\DQ© WP©\NVHN©OLVDQVGRNWRUD©|üUHQFLOHULQH© EL\RLQIRUPDWLNWH©oDOÔþÔODQ©DQD©NRQXODUÔ©YH© DQDOL]OHUGH©NXOODQÔODQ©EDþOÔFD©LVWDWLVWLNVHO© \|QWHPOHUL©GHWD\OÔ©RODUDN©VXQPDN©DPDFÔ\OD©KD]ÔUODQPÔþWÔU©%X©DPDoOD© GD©LON©HWDSWD©IDUNOÔ©DODQODUGDNL©DUDþWÔUPDFÔODUÔQ©NLWDEÔ©UDKDW©WDNLS©HGHõ ELOPHVL©LoLQ©WHPHO©EL\RORML©RODVÔOÔN©YH©LVWDWLVWLN©ELOJLVL©YHULOPLþ©GDKD© VRQUD©LVH©NRQXODU©H]EHUGHQ©X]DN©NXOODQÔODQ©\|QWHPOHULQ©PDQWÔNODUÔ© VHEHSõVRQXo©LOLþNLVL\OH©DoÔNODQDUDN©DQODWÔOPÔþWÔU « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c %(1=(7ĝ0««6LPXODWLRQ 6KHOGRQ«0«5RVV« dHYLUHQ/HU0XVWDID«<«$WD««0«$NLI«%DNÖU««2VPDQ« 8IXN«(NL] 6KHOGRQ©5RVV´XQ©©%DVÔPÔ©JHUoHN© ROJXODUÔ©o|]POHPH©YH©\RUXPODPDN©LoLQ© ELOJLVD\DUOÔ©EHQ]HWLP©oDOÔþPDVÔ©\DSDFDN© DNWHUOHUL©PKHQGLVOHUL©ELOJLVD\DU©ELOLPõ FLOHULQL©YH©GLüHUOHULQL©X\JXODPD\D©\|QHOLN© \|QWHPOHUOH©WDQÔþWÔUPD\Ô©VUGU\RU (OH©DOÔQDQ©EDþOÔFD©NRQXODU©VÔQÔIODQGÔUPD©YH©NPHOHPH©\|QWHPOHUL© GL]L©YH©SURWHLQ©LNLQFLO©\DSÔODUÔ©PLNURGL]LQOHU©EL\RORMLN©DüODU©YH©EX©DOW© EDþOÔNODUGD©NXOODQÔODQ©J|UVHO©DUDoODU©YH©YHUL©WDEDQODUÔ©RODUDN©|]HWOHQHõ ELOLU©'LüHU©\DQGDQ©KHU©E|OPQ©VRQXQGD©±$ODQ©KDNNÔQGD©LOHUL©G]H\© ND\QDNODU²© DOW© EDþOÔüÔ\OD© DoÔNODQDQ© E|OPOHUGH© \HQL© DUDþWÔUPDODU© \DSPDN© LVWH\HQOHUH© oDOÔþÔODELOHFHN© NRQXODU© LOJLOL© PDNDOH© YH© NLWDS© ND\QDNODUÔ\OD©EHUDEHU©VXQXOPDNWDGÔU 2NX\XFX©JHQLþ©ELU©DODQD©\D\ÔODQ©VRUXQODUD© EX©o|]POHPH©VRQXoODUÔQÔ©X\JXODPD\Ô© HWNLQ©YH©GRüUX©o|]POHU©HOGH©HGHUHN©UDVJHOH© VUHoOHULQ©JHOHFHNWHNL©GXUXPODUÔQD©LOLþNLQ© |QJ|UGH©EXOXQPD\Ô©|üUHQL\RU %X©VRQ©EDVÔPGD©GHQHWLP©GHüLþNHQOHULQL©GH©LoHUHQ©GHüLþNH©NoOWPH© ]HULQH©WP\OH©\HQL©ELOJLOHU©YH©EXQODUÔQ©oHNLP©o|]POHPHVL©LOH©LOLþNLVL© þDQV©R\XQODUÔ©ERUVD©JLEL©LOJLQo©DODQODUGD©EHNOHQHQ©JHWLULQLQ©WDKPLQLQGH© QDVÔO©NXOODQÔODFDüÔ©VHUJLOHQPHNWHGLU©%XQODUD©HN©RODUDN©©%DVÔP©0DUNRY© =LQFLUOL©0RQWH©&DUOR©<|QWHPOHU©]HULQH©\HQL©ELU©E|OP©LoHUPHNWH©YH©NHVLNOL© UDVJHOH©GHüLþNHQ©UHWPHGH©NXOODQÔODQ©GHüLþLN©\|QWHPOHU©VXQPDNWDGÔU « ÷÷÷÷«««%$6.,«««««;««««6$<)$«««c %ĝ<2ĝ67$7ĝ67ĝ. ĝVPDLO«.RFDoDOÖĀNDQ«1NHW«$NDOÖQ«%LQJ|O « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c %LOJLVD\DUÔQ©UDVJHOH©VD\Ô©YH©EX©UDVJHOH©VD\ÔODUÔQ©]DPDQ©ER\XWXQGD©HYULOHQ© UDVJHOH©ELU©VUHFLQ©GDYUDQÔþÔQÔ©UHWPHGH©QDVÔO©NXOODQÔODFDüÔQÔ©DoÔNOD\DUDN© 5RVV´XQ©%HQ]HWLP©©%DVÔPÔ©PRGHOLQLQ©JHoHUOLOLüLQL©GHüHUOHQGLUPH©YH© EHQ]HWLP©YHULOHULQLQ©o|]POHQPHVL©LoLQ©JHUHNOL©LVWDWLVWLN©ELOJLOHULQL©GH© VXQPDNWDGÔU %ĝ<2/2*/$5«ĝdĝ1«%ĝ<2(1)250$7ĝ.««%,2,1)250$7,&6«)25« %,2/2*,676 «3DYHO«3HY]QHU««5RQ«6KDPLU«dHYLUL«(GLW|U«=HNL«.D\D <DþDP© ELOLPOHULQGH© EL\RORMLN© SUREOHPOHUH© \|QHOLN© \DSÔODQ© JHQRPLN© YH© SURWHRPLN© oDõ OÔþPDODU© ROGXNoD© ID]OD© YH© NDUPDþÔN© YHULOHU© UHWPHNWHGLU© %X© WU© YHUL© UHWLPL© JHOHFHN© \ÔOODUGD© GD© GHYDP© HGHFHNWLU© YH© UHWLOHQ© YHõ ULOHULQ©E\N©ELU©E|OP©GH©XOXVODUDUDVÔ©YHUL© EDQNDODUÔQGD©KHUNHVH©DoÔNWÔU©%X©WU©YHULOHUõ OH©EL\RHQIRUPDWLN©\|QWHPOHUL©NXOODQDUDN©ELõ \RORMLN© SUREOHPOHULQ© o|]POHULQH© XODþPDN© GDKD© DQODPOÔ© RODFDNWÔU© %X© GD© GDKD© oRN© ELõ \RORüXQ© ELOLþLPVHO© EL\RORML© YH© EL\RHQIRUPDWLN´GH© NDUL\HU© \DSPDõ VÔ© JHUHNWLüLQH© LþDUHW© HWPHNWHGLU© <DOQÔ]© EX© YHULOHUL© NXOODQPDN© LoLQ© EL\RORML© |üUHQFLOHULQL© WHPHO© EL\RORML© SUREOHPOHULQLQ© o|]PQGH© ELOLþLPVHO© GþQFH\H© \|QOHQGLUPHN© JHUHNL\RU© %X© |]O© NLWDS© GD© GQ\DFD©WDQÔQPÔþ©EL\RHQIRUPDWLNFLOHUGHQ©ROXþDQ©HNLS©\HQLOLNoL©ELU© \DNODþÔPOD©EL\RHQIRUPDWLN´LQ©\DþDP©ELOLPOHULQGH©QH©NDGDU©|QHPOL© ELU© \HUH© VDKLS© ROGXüXQX© J|VWHUPLþOHUGLU%X© NLWDEÔQ© WHUFPHVL\OH© 7UNL\H´GH©QLYHUVLWHOHULQ©EL\RORML©OLVDQV©SURJUDPODUÔQGD©ELOLþLPVHO© EL\RORML©YH©EL\RHQIRUPDWLN©NRQXODUÔQD©\HU©YHULOPHVLQL©YH©GDKD©oRN© EL\RORüXQ©EL\RHQIRUPDWLN©DODQÔQGD©X]PDQODþPDVÔQÔ©WHþYLN©HWPHN© DPDoODQPÔþWÔU .LWDS©%LOJLVD\DU©%LOLPOHUL©(QGVWUL©0KHQGLVOLüL©<|QH\OHP©$UDþWÔUPDVÔ© ěVWDWLVWLN©0DWHPDWLN©(OHNWULN©0KHQGLVOLüL©YH©ěþOHWPH©JLEL©ELU©oRN©IDUNOÔ© E|OPGH©%HQ]HWLP©'HUVL©DODQ©OLVDQV©YH©OLVDQVVW©|üUHQFLOHULQLQ©JHUHNõ VLQLPOHULQL©NDUþÔOD\DFDN©ELoLPGH©NDOHPH©DOÔQPÔþWÔU « ÷÷÷÷«««%$6.,'$1«d(9ĝ5ĝ«««««;««««6$<)$«««c %ĝ/ĝ06(/«$5$ÿ7,50$/$5'$«+ĝ327(=«7(67/(5ĝ 0DKPXW«.DUWDO %X©NLWDS©ELOLPVHO©DUDþWÔUPD©\DSDQODUÔQ©LKWLõ \Do©GX\DFDüÔ©LVWDWLVWLNVHO©KLSRWH]©WHVWOHULQL© WDQÔWPD© DQODWPD© YH© NXOODQÔP© þHNLOOHULQL© J|VWHUPH©DPDFÔQÔ©WDþÔPDNWDGÔU©+DQJL©GXõ UXPGD© KDQJL© LVWDWLVWLNVHO© WHVWLQ© NXOODQÔODõ ELOHFHüLQL© ELOPHN© |QHPOLGLU© ěVWDWLVWLNVHO© KLSRWH]©WHVWL©WHNQLüLQLQ©KHP©HOGHNL©YHULOHUH© KHP©GH©KLSRWH]H©X\JXQ©ROPDVÔ©JHUHNLU©7HVW© WHNQLüL© \DQOÔþ© VHoLOLUVH© YH\D© X\JXQ© VHoLP© \DSÔOPDVÔQD©UDüPHQ©X\JXODPD©þHNOL©\DQOÔþ© \DSÔOÔUVD© YDUÔODQ© VRQXo© JYHQLOLU© ROPD]© %|\OH©\DQOÔþODUD©GþPHPHN©LoLQ©KLSRWH]©WHVWL© WHNQLNOHULQLQ©L\L©ELOLQPHVL©JHUHNLU(Q©\D\JÔQ©NXOODQÔODQ©SDUDPHWULN©YH© « ÷÷÷÷«%$6.,'$1«d(9ĝ5ĝ««««÷««6$<)$«5(1./ĝ÷.8ÿ(«.$ý,7«c QREHO#QREHO\D\LQFRP©õ©ZZZQREHO\D\LQFRP©õ©ZZZQREHON LWDSFRP©õ©ZZZHEDELO\D\LQODULFRP MATEMATİK - İSTATİSTİK *HQHO©0DWHPDWLN©õ©7HNQLN©0DWHPDWLN©õ©ěVWDWLVWLN©õ©2ODVÔOÔN (NRQRPHWUL©õ©0DWHPDWLN©güUHWLPL %8/$1,.«.h0(«7(25ĝ6ĝ d,.$56$0$/,«ĝ67$7ĝ67ĝ. ÿDQVOÖ«ÿHQRO 7XUDQ«3DNVR\«1LPHW«<DSÖFÖ«3HKOLYDQ«(UHQ«g]FH\ODQ ěVWDWLVWLN©ELOLPLQL©ROXþWXUDQ©LVWDWLVWLN©NRQXODõ UÔQÔQ©WRSODP©RQ©G|UW©E|OPGH©LQFHOHQGLüL© 7DQÔPOD\ÔFÔ©ěVWDWLVWLN©YH©dÔNDUVDPDOÔ©ěVWDWLVWLN© NXOODQÔP©DoÔVÔQGDQ©GDKD©X\JXQ©RODFDüÔ©Gõ þQOHUHN©LNL©D\UÔ©NLWDS©þHNOLQGH©\D]ÔOPÔþWÔU© ěVWDWLVWLN©NRQXVXQGD©NDSVDPOÔ©ELOJL©HGLQLOPHN© LVWHQGLüLQGH©NHQGL©GLOLPL]GH©\D]ÔOPÔþ©WP© LVWDWLVWLN©NRQXODUÔQÔ©NDSVD\DQ©X\JXODPDODUÔ© oRN©RODQ©\D\ÔQ©VD\ÔVÔQÔQ©\RN©GHQHFHN©NDGDU© D]©ROGXüX©J|UOU©g]HOOLNOH©ELUHU©LVWDWLVWLNoL© DGD\Ô©RODQ©LVWDWLVWLN©E|OP©|üUHQFLOHULQLQ© LVWDWLVWLüL©DUDo©RODUDN©NXOODQPDVÔ©]RUXQOX© RODQ©GLüHU©|üUHQFLOHULQ©YH©DUDþWÔUPDFÔODUÔQ© NLWDS©JHUHNVLQLPLQL©NDUþÔODPD\Ô©D\UÔFD©JQP]GH©JHUHN©LþOHWPHOHUGH© JHUHNVH©ELOLPVHO©DUDþWÔUPDODUGD©LVWDWLVWLN©\|QWHPOHULQGHQ©\DUDUODQPDN© LVWH\HQOHUH©\DUGÔPFÔ©ROPD\Ô©DPDoOD\DQ©EX©NLWDSODUGD©ROD\ODUÔQ©VD\ÔVDO© ELOJLOHUOH©GHüHUOHQGLULOPHVLQGH©NXOODQÔODQ©\|QWHPOHU©X\JXODPDOÔ©|UQHNOHUOH© DoÔNODQPÔþWÔU©%|OPOHUGH©YHULOHQ©|UQHNOHUH©HN©RODUDN©\LQH©E|OPOHULQ© VRQXQGD©RNX\XFXQXQ©NHQGLVLQL©NRQWURO©HGHELOPHVL©LoLQ©SUREOHPOHUH©YH© VHoLOHQ©ED]Ô©SUREOHPOHU©LoLQ©o|]POHUH©GH©\HU©YHULOPLþWLU©%|\OHFH©NLWDSODU© WHRULN©RODUDN©DQODWÔODQ©NRQXODUÔQ©GDKD©L\L©DQODþÔOPDVÔQÔ©VDüODPDN©LoLQ©o|]õ OHQ©oRN©VD\ÔGD©|UQHN©SUREOHPLQ©\DQÔ©VÔUD©o|]PO©YH©GLüHU©SUREOHPOHUOH© ]HQJLQOHþWLULOPLþWLU©dÔNDUVDPDOÔ©ěVWDWLVWLN©NLWDEÔQGD©|UQHNOHPGHQ©HOGH© HGLOHQ©VRQXoODUD©GD\DQDUDN©|UQHNOHPLQ©DOÔQGÔüÔ©NLWOHQLQ©LOJLOL©EHOLUOH\LFLVL© ]HULQH©|QHUPH©\DSPDN©LoLQ©NXOODQÔODQ©LVWDWLVWLNVHO©oÔNDUVDPD©NRQXODUÔ© WDKPLQ©KLSRWH]©WHVWOHUL©YDU\DQV©DQDOL]L©GHüLþNHQOHU©DUDVÔQGDNL©QLFHOLN© LOLþNLOHULQLQ©DUDþWÔUÔOPDVÔQGD©NXOODQÔODQ©UHJUHV\RQ©YH©NRUHODV\RQ©LOH©GHüHU© GHüLþLPLQLQ©J|UHFHOL©ELU©|OoV©RODQ©YH©|]HOOLNOH©]DPDQ©VHULVL©DQDOL]L©LoLQ© |QHP©WDþÔ\DQ©HQGHNVOHU©LQFHOHQPLþWLU *QON©\DþDQWÔPÔ]GD©IDUNÔQGD©ROPDGDQ©NXOODQõ GÔüÔPÔ]©V|]HO©LIDGHOHU©JQP]GHQ©\DNODþÔN© © \ÔO© |QFH© $]HUED\FDQ© DVÔOOÔ© ELOLP© DGDPÔ© 3URI©'U©/WIL©=DGHK©WDUDIÔQGDQ©RUWD\D©DWÔODQ© ±EXODQÔN©NPHOHU²©NDYUDPÔ©VD\HVLQGH©±KHVDS© \DSÔODELOLU²©KkOH©JHOPLþWLU©%XODQÔN©PDQWÔN©VDõ \HVLQGH©JHOHQHNVHO©PDWHPDWLüLQ©EHOLUOLOLN©LOH© VÔQÔUOÔ©GQ\DVÔ©GHUHFHOHQGLUPH©PHNDQL]PDVÔ© LOH©EHOLUVL]OLüH©GRüUX©JHQLþOHWLOPLþ©YH©JHUoHN© KD\DWWDNL©EDþDUÔOÔ©X\JXODPDODUÔ©VD\HVLQGH©EX© NDYUDP©WP©GQ\D\D©\D\ÔODQ©ELU©SDUDGLJPD©GHüLþLPL©JHUoHNOHþWLUõ PLþWLU©%XODQÔN©PDQWÔüÔQ©SRSOHUOLüL©JQP]GH©DUWDQ©ELU©KÔ]OD©|QHP© ND]DQPDNWD©ROXS©X\JXODPDOÔ©ELOLP©GDOODUÔQGD©\HU©YHULOPH\H©EDþODQDQ© GHUVOHULQ© DUDVÔQGD© \HU© DOPÔþWÔU© $QFDN© \DEDQFÔ© GLOGH© \D]ÔOPÔþ© oRN© VD\ÔGD©WHPHO©YH©LOHUL©VHYL\HGH©EXODQÔN©PDQWÔN©NLWDEÔQÔQ©EXOXQPDVÔQD© NDUþÔQ©EX©NRQXGD©7UNoH©NLWDSODUÔQ©VD\ÔVÔ©YH©WU©LKWL\DFD©FHYDS©YHUõ PHNWHQ©X]DNWÔU©<D]ÔQGDNL©EX©ERþOXüX©GROGXUPDN©DGÔQD©GDKD©|QFH© EXODQÔN©PDQWÔN©KDNNÔQGD©KLoELU©ELOJLVL©EXOXQPD\DQ©RNX\XFXODUÔ©GD© NDSVD\DFDN©þHNLOGH©EXODQÔN©PDQWÔüD©JLULþ©EXODQÔN©PDQWÔNWD©DULWPHWLN© LþOHPOHU©EXODQÔN©PDWHPDWLNVHO©SURJUDPODPD©YH©EXODQÔN©oRN©DPDoOÔ© NDUDU©YHUPH©WHNQLNOHULQLQ©DoÔNOD\ÔFÔ©|UQHNOHU©LOH©\HU©DOGÔüÔ©EX©NLWDS© RUWD\D©oÔNPÔþWÔU©%X©NLWDS©OLVDQV©YH©OLVDQVVW©VHYL\HOHUGH©RNXWXOPDNWD© RODQ© EXODQÔN© PDQWÔN© GHUVOHUL© GLNNDWH© DOÔQDUDN© \D]ÔOPÔþ© ROXS© oHþLWOL© DODQODUGD©YHULOHQ©|UQHNOHUOH©EXODQÔN©PDQWÔüÔQ©IDUNOÔOÔN©DU]©HWPHGHQ© oHþLWOL©VDKDODUD©NROD\OÔNOD©X\JXODQDELOGLüLQL©J|VWHUPH\L©DPDoODPDNõ WDGÔU©2NX\XFX©NLWOHVL©RODUDN©PKHQGLVOLN©LþOHWPH©YH©WHPHO©ELOLPOHU© |üUHQFLOHUL©YH©DUDþWÔUPDFÔODUÔ©|Q©J|UOPþ©ROVD©GD©EX©NLWDEÔQ©EXODQÔN© PDQWÔN©NRQXVXQD©LOJL©GX\DQ©KHUNHVLQ©NWSKDQHVLQGH©EXOXQPDVÔQÔQ© \DUDUOÔ©RODFDüÔQD©LQDQÔ\RUX] « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c ±ěQDWoÔOÔN©YH©D]LP©7DUWÔþPDODUGD©NDUPDþD©LoLQGH©NDOPDNWDQ©NRUNPDõ PDN©%X©GDKD©oRN©ELU©7UN©JHOHQHüLGLU©%X©GD©EHQLP©NDUDNWHULPLQ©ELU© SDUoDVÔGÔU©%HQ©oRN©LQDWoÔ©RODELOLULP©0XKWHPHOHQ©%XODQÔN©0DQWÔN´ÔQ© JHOLþLPLQGH©EX©ID\GDOÔ©ROGX² d2.«'(ýĝÿ.(1/ĝ«ĝ67$7ĝ67ĝ.«8<*8/$0$/$5,««8VLQJ«0XOWLYDULDWH« 6WDWLVWLFV 3URI©'U©/WIL©$VNHU©=DGHK %DUEDUD«*«7DEDFKQLFN«/LQGD«6«)LGHOO«dHYLUL«(GLW|U« 0XVWDID«%DORþOX « ÷÷÷÷«««%$6.,««««÷«««6$<«)$««c ´OHULQ©VRQODUÔQGD©\D]ÔOPD\D©EDþOD\DQ©YH© LON©EDVNÔVÔ©©\ÔOÔQGD©\DSÔODQ©dRNGHüLþNHQOL© ěVWDWLVWLNOHULQ©.XOODQÔPÔ´QÔQ©©\ÔOÔ©©EDVNÔVÔQõ GDQ©GLUHN©WHUFPH©RODQ©EX©NLWDS©©VD\ID©YH© WRSODP©©E|OPGH©RUWD©YH©LOHUL©G]H\GH©LKWL\Do© GX\XODELOHFHN©KHPHQ©KHPHQ©WP©LVWDWLVWLNVHO© DQDOL]OHUL©LoHUPHNHGLU©.LWDEÔQ©E|OPOHULGHQ© ´VL©WHNQLN©E|OPGU©dRNOX©5HJUHV\RQ©.Dõ QRQLN©.RUHODV\RQ©$1&29$©0$129$©YH©0$1&29$©$\UÔþWÔUÔFÔ©$QDOL]© 7%$)$©/RMLVWLN©5HJUHV\RQ©6DüNDOÔP%DþDUÔVÔ]OÔN©$QDOL]L©<DSÔVDO©(þLWOLN© 0RGHOOHPHVL©dRN©G]H\OL©'RüUXVDO©0RGHOOHPH©dRN©<|QO©)UHNDQV© $QDOL]L©YH©=DPDQ©6HULOHUL©$QDOL]L©2ULMLQDO©EDVNÔGD©RQOLQH©RODUDN©YHULOHQ© YH©EDVÔOÔ©PHWLQGH©\HU©DOPD\DQ©=DPDQ©6HULOHUL©$QDOL]LQL©7UNoH©EDVNÔGD© ©%|OP©RODUDN©NLWDED©GDKLO©HWWLN©.LWDSWDNL©DQDOL]OHU©LNL©LVWDWLVWLN©SDNHW© SURJUDPÔ©6366©©9HUVL\RQ©YH©6$6©©9HUVL\RQ©VLQWDNVODUÔ©YH©oÔNWÔODUÔ© ]HULQGH©|UQHNOHQGLULOPLþWLU©$QFDN©EX©SURJUDPODUÔQ©7UNoH©YHUVL\RQODUÔ© EXOXQPDGÔüÔQGDQ©RNX\XFX\D©WDNLS©YH©\HQLGHQ©UHWHELOHPHGH©NROD\OÔN© VDüODPDVÔ©DPDFÔ\OD©oRüX©oÔNWÔODUÔQ©oRüX©YH©VLQWDNVODU©WHUFPH©HGLOPHPLþ© RULQDO©KDOL©LOH©EÔUDNÔOPÔþWÔU©ěVWDWLVWLN©DODQÔQÔQ©HQ©WHPHO©HVHUOHULQGHQ©RODQ© NLWDS©LVWDWLVWLNOHULQ©NXOODQÔPÔQD©SUDWLN©ELU©\DNODþÔP©VHUJLOHGLüLQGHQ©|]HOOLNOH© VRV\DO©ELOLPOHU©DODQÔQGDNL©ELUoRN©\NVHN©OLVDQV©YH©GRNWRUD©SURJUDPÔQGD© HQ©oRN©WHUFLK©HGLOHQ©HVHUOHUGHQGLU©.LWDS©NXOODQÔODQ©LVWDWLVWLNOHULQ©FHYDSõ OD\DELOHFHüL©VRUXODUÔ©NXOODQÔPODUÔQGDNL©VÔQÔUOÔOÔNODUÔ©JHUoHN©KD\DWWDQ©HOGH© HGLOHQ©YHULOHUH©X\JXODQPDVÔQGD©GLNNDW©HGLOPHVL©JHUHNHQ©KXVXVODUÔ©LVWDWLVõ WLNVHO©SDNHW©SURJUDPODUÔQÔQ©QDVÔO©NXOODQÔODFDüÔQÔ©YH©RNX\XFX\X©DQDOL]OHUL© GUVW©ELU©þHNLOGH©\DSWÔüÔQÔ]ÔQD©LNQD©HWPHQL]©LoLQ©QHOHUL©UDSRU©HWPHQL]© JHUHNWLüLQL©DoÔNODPDNWDGÔU©+HU©E|OPQ©G|UGQF©NÔVPÔQGD©NÔVDOWÔOPÔþ© ELU©PDWHPDWLNVHO©YHUVL\RQ©YHULOHPHNWHGLU©/LVDQVVW©|üUHQFLOHULQLQ©YH© WP©DNDGHPLV\HQOHULQ©PXWODND©PDVDVÔQGD©EXOXQPDVÔ©JHUHNHQ©ELU©HVHUGLU &(%ĝ5(«*ĝ5ĝÿ $KPHW«6LQDQ«dHYLN %X©NLWDS©0DWHPDWLüLQ©WHPHO©DQDELOLP©GDOõ ODUÔQGDQ©ELULVL©RODQ©&HELU©YH©6D\ÔODU©7HRULVL© $QDELOLP© 'DOÔ© LoLQGH© RNXWXOPDNWD© RODQ© ±&HELU²© YH\D© ±6R\XW© &HELU²© GHUVOHULQGHNL© WHPHO© FHELU© NRQXODUÔQÔ© LQFHOHPHNWH© ROXS© ONHPL]GHNL© VD\JÔQ© ELUoRN© PHVOHNWDþÔPÔ]© WDUDIÔQGDQ©\D]ÔOPÔþ©EHQ]HU©EDþOÔN©DOWÔQGDNL© GLüHU© NLWDSODUGD© GHüLQLOPH\HQ© ED]Ô© RUWD© G]H\©DüÔUOÔNWDNL©NRQXODUD©GD©GHüLQPLþWLU© 0DWHPDWLN© GQ\DVÔQÔQ© JHQHOL© WDUDIÔQGDQ© NDEXO©HGLOGLüL©]HUH©&HELU©YH©6D\ÔODU©7HRULVL© 0DWHPDWLNWHNL©±VR\XW©GþQPH²©JFQ©JHõ OLþWLUHQ©YH©EX©VR\XW©PDQWÔN©HþOLüLQGH©\LQH©0DWHPDWLNWHNL©GLüHU©ELUoRN© DQDELOLP©GDOÔQD©JHoLþL©VDüOD\DQ©|QHPOL©ELU©oDOÔþPD©DODQÔGÔU©%X©GþQFH© LVH©±&HELUH©*LULþ²©EDþOÔNOÔ©EX©NLWDEÔQ©|QHPLQL©RUWD\D©oÔNDUPDNWDGÔU© güUHQFLOHULPL]LQ© NRQXODUÔ© DQODPD© RUDQODUÔQÔ© GDKD© GD© DUWÔUDELOPHN© DPDFÔ\OD©NLWDSWD©ROGXNoD©\DOÔQ©ELU©GLO©NXOODQÔOPÔþWÔU©$\UÔFD©ONHPL]GH© &HELU©NRQXVXQGD©<NVHN©0DWHPDWLN©LOH©XüUDþDQ©DUDþWÔUPDFÔODUD©\HQL© oDOÔþPD©DODQODUÔ©J|VWHUHELOPHN©LoLQ©NLWDEÔQ©$OÔþWÔUPD©NÔVÔPODUÔQGD©YH© (N©%|OPQGH©oHþLWOL©NRQXODUD©GLNNDW©oHNLOPLþWLU « ÷÷÷÷««%$6.,««««÷«««6$<)$««c &2ý5$)<$'$«ĝ67$7ĝ67ĝ.«0(727/$5, (UVLQ«*QJ|UG « d(9ĝ5ĝ'( « ÷÷÷«««%$6.,««««÷«««6$<)$««c QREHO#QREHO\D\LQFRP©õ©ZZZQREHO\D\LQFRP©õ©ZZZQREHON LWDSFRP©õ©ZZZHEDELO\D\LQODULFRP MATEMATİK - İSTATİSTİK *HQHO©0DWHPDWLN©õ©7HNQLN©0DWHPDWLN©õ©ěVWDWLVWLN©õ©2ODVÔOÔN (NRQRPHWUL©õ©0DWHPDWLN©güUHWLPL dg=h0/h«$1$/ĝ7ĝ.«*(20(75ĝ«$/,ÿ7,50$/$5, 'HQH\«7DVDUÖPÖ«YH«*HQHOOHĀWLULOPLĀ«7HUV«0DWULVOHUOH«ĝ67$7ĝ67ĝ.« $1$/ĝ=«<g17(0/(5ĝ $ULI«6DEXQFXRþOX «$GQDQ«0D]PDQRþOX %X©NLWDS©QLYHUVLWHOHULQ©PDWHPDWLN©E|õ OPOHULQLQ©ELULQFL©YH\D©LNLQFL©VÔQÔIODUÔQGD© RNXWXODQ©±$QDOLWLN©*HRPHWUL²©GHUVLQH© X\JXQ©RODUDN©KD]ÔUODQDQ©D\QÔ©DGOÔ©NLWDSWDNL© DOÔþWÔUPDODUÔQ©o|]POHULQGHQ©ROXþPXþWXU 'HQH\LQ©WDVDUODQPDVÔ©LoLQ©DQDKWDU©URO©R\QD\DQ© DUDþWÔUPD©QDVÔO©\DSÔOÔU"©.LWDEÔQ©EX©VRUX\D©HQ©JHQLþ© þHNLOGH©\DQÔW©YHUGLüL©NDQÔVÔQGD\Ô]©.LWDSWD©D\UÔFD© 'HQH\©7DVDUÔPÔQ©o©WHPHO©NXUDOÔ©RODQ©.RS\DODPD© 5DVWJHOHOHþWLUPH©YH©%ORNODPD´\D©JHQLþ©\HU©YHULOPLþWLU© 'HQH\OHUL©WDVDUODPD©SUHQVLSOHUL©LoLQGH©SUREOHPLQ© WDQÔPODQPDVÔ©YH©LIDGHVL©IDNW|UOHULQHWPHQOHULQ© VHYL\HOHULQG]H\OHULQ©YH©E|OJHOHULQ©VHoLPL©FHYDS© GHüLþNHQLQ©VHoLPL©GHQH\VHO©WDVDUÔPÔQ©VHoLPL©GHõ QH\LQ©JHUoHNOHþWLULOPHVL©YHULQLQ©LVWDWLVWLNVHO©DQDOL]LQ© \DSÔOPDVÔ©oRN©|QHPOLGLU©.LWDEÔPÔ]GD©EX©NRQXODUD©GD©\HU©YHULOPLþWLU %XQXQ©\DQÔQGD©9©$©LoLQ©*HQHOOHþWLULOPLþ©7HUV©0DWULVOHU*õ©7HUV©\ROX\OD© DQDOL]LQ©\DSÔOPDVÔ©QRUPDO©GHQNOHPOHULQ©QDVÔO©NXUXOGXüXQX©NODVLN©\DNODõ þÔPGDQ©GDKD©IDUNOÔ©þHNLOGH©o|]PQ©\DSÔODELOGLüL©LON©NH]©EX©NLWDSWD©JHQLþ© þHNLOGH©DQODWÔOPÔþWÔU©%XQD©HN©RODUDN©NLWDSWD©LON©NH]©GDQ©JLGHUHN©*©¯©7HUV´L© EXOPDN©YH©9©$©PRGHOOHULQ©PDWULVOHUOH©QDVÔO©o|]PH©NDYXþWXüX©oRN©JHQLþ© þHNLOGH©DQODWÔOGÔüÔ©J|UOHFHNWLU5DQNÔ©WDP©ROPD\DQ©PRGHOOHUL©WDP©UDQNOÔ© PRGHOOHUH©oHYLUPHN©LoLQ©±'|QþWUPH©YH©<HQLGHQ©3DUDPHWUHOHQGLUPH²© DGÔQÔ©YHULOHQ©\|QWHPLQ©PDWULV\HO©PRGHOOHUGHNL©URO©ED]Ô©GHQH\©SODQODUÔQGDQ© WDP©UDVWJHOHOLN©UDVWJHOH©EORNODU©ODWLQ©NDUHOHU©YH©JUHNR©õ©ODWLQ©NDUHOHU©WDKPLQ© HGLOHELOLU©IRQNVL\RQODU©NLWDEÔPÔ]ÔQ©|]HO©NRQXODUÔ©DUDVÔQGD©EXOXQPDNWDGÔU© *QFHO©ROD\ODUGDQ©VDSWDQDQ©YH©SODQODQDQ©JHUoHN©'HQH\©7DVDUÔP©|UQHNOHUL© NLWDEÔQ©HN©NÔVPÔQGD©\HU©DOPDNWDGÔU « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c dg=h0/h«$1$/ĝ=«352%/(0/(5ĝ $KPHW«'HUQHN .LWDS©)HQ©YH©0KHQGLVOLN©)DNOWHOHULQLQ©ELULQFL© VÔQÔIÔQGD©YHULOPHNWH©RODQ©$QDOL]©,õ,,©0DWHPDWLN© ,õ,,©GHUVOHULQLQ©SURJUDPÔQD©X\JXQ©RODUDN©KDõ ]ÔUODQPÔþ©o|]PO©SUREOHPOHUL©NDSVDPDNWDGÔU© .LWDSWD©UHHO©VD\Ô©NPHOHULQGH©WHPHO©NDYUDPODU© UHHO©VD\Ô©GL]LOHUL©YH©VHULOHU©IRQNVL\RQODUGD©OLPLW© YH©VUHNOLOLN©WUHY©YH©X\JXODPDODU©LOH©LQWHJUDO© NRQXVXQGD© oRN© VD\ÔGD© SUREOHPLQ© o|]P© YHULOPLþWLU « ÷÷÷÷«««%$6.,««««÷«««6$<)$«««c 'ĝ)(5(16ĝ<(/«'(1./(0/(5«÷«6FKDXP¶V 5«%URQVRQ«dHYLUL«(GLW|U«+LOPL«+DFÖVDOLKRþOX 6ÔQDY©6RUXODUÔ©=RU©PX©*HOL\RU"©'HUVOHUL©PL© .DoÔUGÔQÔ]"=DPDQÔQÔ]©PÔ©<RN"©d|]PO© 6RUXODU©PÔ©$UÔ\RUVXQX]"©1H\VH©NL©VL]LQ©LoLQ© 6FKDXP©6HULVL©YDU ©PLO\RQGDQ©ID]OD©|üUHQFL©GHUVOHUGH©YH© VÔQDYODUGDEDþDUÔOÔ©ROPDN©LoLQ©\DUGÔPFÔ©RODUDN© 6FKDXP´D©JYHQGL 6FKDXP©KHU©NRQXGD©\NVHN©EDþDUÔQÔQ©YH© GDKD©KÔ]OÔ©|üUHQPHQLQ©DQDKWDUÔGÔU©+HU©NLWDSWD© EWQ©NRQX©ELOJLOHUL©NRQX\D©J|UH©NROD\©WDNLS© HGLOLU©ELU©þHNLOGH©YHULOLU$\UÔFD©\]OHUFH©|UQHN© o|]PO©SUREOHP©YH©X\JXODPDOÔ©DOÔþWÔUPD©GD© HGLQLUVLQL]©%X©6FKDXP©NLWDEÔ©VL]H ©©DGHW©WDPDPÔ©o|]PO©SUREOHP ©7P©WHPHO©NRQXODUÔQ©WDPDPÔQÔ©J|]GHQ©JHoLUPH©IÔUVDWÔ ©%LULQFL©EDVDPDNWDQ©LNLQFL©EDVDPDNWDQ©YH©Q©LQFL©EDVDPDNWDQ GLIHUDQVL\HO©GHQNOHP©NRQXODUÔ\OD©LOJLOL©NDSVDPOÔ©ELOJL©YHULU 'HUV©QRWODUÔQÔ]OD©WDPDPHQ©X\XPOXGXU©ELOPHQL]©JHUHNHQ©WP©|QHPOL© JHUoHNOHUL©YXUJXODU©dDOÔþPD©VUHQL]L©NÔVDOWPDN©YH©VÔQDYODUGD©\NVHN©SXDQ© DOPDN©LoLQ©6FKDXP©6HULVL©NXOODQÔQ « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c dg=h0/h«'ĝ)(5(16ĝ<(/«*(20(75ĝ«$/,ÿ7,50$/$5, $ULI«6DEXQFXRþOX %X©NLWDS©\D]DUÔQ©±'LIHUHQVL\HO©*HRPHWUL²© DGOÔ© NLWDS© EWQQGHNL© DOÔþWÔUPDODUÔQ© o|]POHULQL©NDSVDPDNWDGÔU©'HUV©NLWDEÔ\OD© ELUOLNWH©RNXWXODFDüÔ©GþQOGüQGHQ© NRQX©DQODWÔPÔQD©\HU©YHULOPHPLþWLU©6Rõ UXODU©o|]OUNHQ©JHUHNOL©KDWÔUODWPDODU© \DSÔOPÔþ© o|]POHU© \HWHULQFH© DoÔN© YHõ ULOPLþWLU©.ROD\FD©\DSÔODELOHFHN©LþOHPOHU© YH©EHQ]HU©o|]P©RODQ©VRUXODU©\HU©\HU© RNX\XFX\D©EÔUDNÔOPÔþWÔU©hQLYHUVLWHOHULQ© PDWHPDWLN©E|OPOHULQGH©RNXWXOPDNWD© RODQ©'LIHUHQVL\HO©*HRPHWUL©GHUVOHULQGH© |üUHQFLOHUH©\DUGÔPFÔ©ROPDN©DPDFÔ\OD©KD]ÔUODQPÔþWÔU « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c « ÷÷÷÷«««%$6.,'$1«d(9ĝ5ĝ««««÷«««6$<)$««c dg=h0/h«/ĝ1((5«&(%ĝ5«$/,ÿ7,50$/$5, 'ĝ)5(16ĝ<(/«'(1./(0/(5ĝ1«7(0(//(5ĝ««)XQGDPHQWDOV«RI«'LI÷ IHUHQWLDO«(TXDWLRQV $ULI«6DEXQFXRþOX 5«.HQW«1DJOH«(GZDUG«%«6DII«$UWKXU«'DYLG« 6QLGHU« dHYLUL«(GLW|U«2JQ«'RþUX %X©NLWDS©QLYHUVLWHOHULPL]LQ©PDWHPDWLN© YH©PKHQGLVOLN©E|OPOHULQLQ©ELULQFL©YH\D© LNLQFL©VÔQÔIODUÔQGD©RNXWXODQ©/LQHHU©&HELU© GHUVOHULQGHNL©NRQXODUOD©LOJLOL©VRUXODU©YH© o|]POHULQGHQ©ROXþPDNWDGÔU %X©NLWDS©GLIHUHQVL\HO©GHQNOHPOHULQ©WHPHO© WHRULVL©YH©EX©WHRULQLQ©LKWL\Do©GX\GXüX©ELUoRN© DODQGDNL©ERþOXüXQ©ELU©NÔVPÔQÔ©GROGXUDFDüÔQÔ© PLW©HWWLüLPL]©YH©GLüHU©ELOLP©GDOODUÔQGD©GD© \HU©DODQ©NRQXODUOD©GLIHUHQVL\HO©GHQNOHPOHULQ© DUD©NHVLWLQGH©EXOXQDQ©ROGXNoD©NDSVDPOÔ©YH© JQFHO©ELU©LoHULüH©VDKLS©RODQ©DODQODUÔQGD© X]PDQODþPÔþ©ELOLP©LQVDQODUÔQÔQ©\RUXP©YH© oDEDODUÔ\OD©DoÔN©YH©VDGH©ELU©GLOOH©7UNoH\H© oHYULOPLþWLU©$\UÔFD©EX©NLWDS©LoHULüL©EDNÔPÔQõ GDQ©VDGHFH©IHQ©YH©HüLWLP©IDNOWHOHULQLQ©0DWHPDWLN©E|OPOHULQGH©GHüLO©)L]LN© « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c QREHO#QREHO\D\LQFRP©õ©ZZZQREHO\D\LQFRP©õ©ZZZQREHON LWDSFRP©õ©ZZZHEDELO\D\LQODULFRP MATEMATİK - İSTATİSTİK *HQHO©0DWHPDWLN©õ©7HNQLN©0DWHPDWLN©õ©ěVWDWLVWLN©õ©2ODVÔOÔN (NRQRPHWUL©õ©0DWHPDWLN©güUHWLPL .LP\D©%L\RORML©ěVWDWLVWLN©YH©$VWURQRPL©JLEL©GLüHU©E|OPOHUGHNL©ELOKDVVD©GD© PKHQGLVOLN©YH©PLPDUOÔN©IDNOWHOHULQLQ©LOJLOL©E|OPOHULQGHNL©|üUHWLP©\HOHUL© YH©|üUHQFLOHULPL]©LoLQ©GHWD\OÔ©ELU©ND\QDN©QLWHOLüLQGHGLU '5$0$«ĝ/(«0$7(0$7ĝ.«(7.ĝ1/ĝ./(5ĝ 6HUDS«(UGRþDQ (üLWLPGH©DOWHUQDWLI©ELU©|üUHQPH©ELoLPL©RODQ© GUDPD©VRQ©\ÔOODUGD©ONHPL]GH©ROGXNoD©VÔN©RODUDN© WDQÔQPD\D©YH©X\JXODQPD\D©EDþODQPÔþWÔU©%X©DOWHUõ QDWLI©|üUHQPH©ELoLPL©D\QÔ©]DPDQGD©RNXO©|QFHVL© HüLWLPGH©GH©\D\JÔQ©ELU©þHNLOGH©X\JXODQPDNWDGÔU© 'UDPD©oDOÔþPDODUÔQGD©oRFXNODUD©SUREOHP©o|]õ PH\H©\|QHOLN©RUWDPODU©ROXþWXUXOPDNWD©YH©\HQL© GHQH\LP©IÔUVDWODUÔ©VXQXOPDNWDGÔU©dRFXNODU©HQ©L\L© þHNLOGH©\DþD\DUDN©R\QD\DUDN©|üUHQPHNWHGLUOHU© 2\XQ©oRFXüD©\DþDPÔ©DQODWPDNWD©YH©NLþLOLüLQLQ© WHPHOOHULQL©ROXþWXUPDVÔQD©\DUGÔPFÔ©ROPDNWDGÔU « ÷÷÷÷«««%$6,0'$1«d(9ĝ5ĝ««««÷«««6$<)$««5(1./ĝ««c 'ĝ)(5(16ĝ<(/«*(20(75ĝ $ULI«6DEXQFXRþOX 'LIHUHQVL\HO©*HRPHWUL©NLWDEÔ©QLYHUVLWHOHULPLõ ]LQ©oQF©VÔQÔIODUÔQGD©RNXWXODQ©'LIHUHQVL\HO© *HRPHWUL©GHUVOHULQH©\DUGÔPFÔ©ND\QDN©ROPDVÔ© DPDFÔ\OD©KD]ÔUODQPÔþWÔU©.LWDEÔQ©LoHULüL©/LQHHU© &HELU©$QDOL]©YH©7RSRORML©GHUVOHULQL©DODQ©|üUHQõ FLOHULPL]©LoLQ©NROD\©DQODþÔOÔU©ELU©QLWHOLüH©VDKLSWLU© ěON©E|OPGH©$QDOL]©GHUVOHULQGH©J|UOHQ©ED]Ô© NRQXODU©GLIHUHQVL\HO©JHRPHWULGH©NXOODQÔODQ© \|Q\OH©\HQLGHQ©LþOHQPLþWLU©%X©QHGHQOH© ED]Ô©WHRUHPOHULQ©LVSDWODUÔQÔQ©NRQXOPDVÔQD© JHUHN©GX\XOPDPÔþWÔU©.LWDS©7HPHO©NDYUDPODU©8]D\GD©HüULOHU©<]H\OHU©%LU© \]H\LQ©HüULOLNOHUL©%LU©\]H\©LoLQGH©|]HO©HüULOHU©5LHPDQQ©HüULOLN©WHQV|U© 0DQLIROGODU©YH©<DSÔ©GHQNOHPOHUL©EDþOÔNODUÔQGDQ©ROXþPDNWDGÔU « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c « ÷÷÷÷«««%$6.,«««««;««««6$<)$««c « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c (ýĝ7ĝ0'(«g/d0(«9(«'(ý(5/(1'ĝ50( 0XVWDID«8\VDO««+VH\LQ«g]WUN««ĝ]]HW«'|Ā « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c (ýĝ7ĝ0'(«g/d0(«9(«'(ý(5/(1'ĝ50( 0HKPHW«.oN««<ÖOPD]«*HoLW (ýĝ7ĝ0'(«g/d0(«9(«'(ý(5/(1'ĝ50( 'ĝ)(5(16ĝ<(/«9(«ĝ17(*5$/«+(6$3«÷6FKDXP¶V (GLW|UOHU«6DYDĀ«%DĀWUN÷«0HKWDS«7DĀWHSH güUHWPHQDGD\ODUÔQÔQ©|OoPH©YH©GHüHUOHQGLUPHGH© NXOODQÔODQ©\|QWHPOHULQ©DPDo©YHVWUDWHMLOHULQL©ELOPHVL© YH©EXQODUÔ©ROXþWXUXS©X\JXODPD©EHFHULVLQH©VDKLS© ROPDVÔIDNOWHGH©ND]DQGÔUÔOPDVÔ©JHUHNHQ©|QHPOL© ELU©EHFHULGLU©(OLQL]GHNL©EX©NLWDS©V|]©NRQXVX©EHõ FHULQLQ©ND]DQGÔUÔODELOPHVL©DPDFÔQD©KL]PHW©HWPHN© GþQFHVL\OH©RUWD\D©oÔNPÔþ©ELU©UQGU©hONHPL]GH© VRQ©\ÔOODUGD©X\JXODQPD\D©EDþODQDQ©JHUHN©LONRNXO© JHUHNVH©RUWDRNXO©YH©OLVH©SURJUDPODUÔQGD©|üUHWõ PHQOHUGHQ©GHUV©DQODWÔPODUÔQGD©\DSÔODQGÔUPDFÔ© \DNODþÔPÔ©EHQLPVHPHOHULQL©YH©JHOHQHNVHO©|OoPH© YH©GHüHUOHQGLUPH©\DNODþÔPÔQD©GD\DOÔ©\|QWHPOHULQ©\DQÔQGD©VUHFL©GH©GLNNDWH© DODQDOWHUQDWLI©\D©GD©EDþND©ELU©WDQÔPODPD\OD©WDPDPOD\ÔFÔ©\|QWHPOHUL©GH©NXOõ ODQPDODUÔQÔ©LVWHPHNWHGLU )«$\UHV«-U« dHYLUL«(GLW|U«+LOPL«+DFÖVDOLKRþOX 6FKDXP´V©VHULVLQGH©\HU©DODQ©EX©NLWDS©VHULQLQ© GLüHU©oDOÔþPDODUÔQGDNL©DQODWÔP©WHNQLüLQH©X\JXQ© RODUDN©oDOÔþÔOPÔþWÔU©+D]ÔUOÔN©DþDPDVÔQGD©DPDoODõ QDQ©|üUHQFLOHUH©|]HOOLNOH©±KHVDSODPD\D©JLULþ²© GHUVOHULQGH©NDUþÔODþWÔNODUÔ©VRUXQODUÔ©o|]PHGH© \DUGÔPFÔ©RODFDN©o|]PO©SUREOHP©|UQHNOHUL© VXQPDNWÔU©.LWDS©EWQOü©LoHULVLQGH©WDQÔPõ ODQDQ©WP©PDWHPDWLN©NDYUDPODUÔ©YH©WHRUHPOHU© LVSDWODQPÔþWÔU©%X©|]HOOLüL©LOH©QLYHUVLWHOHULPL]GH© YH©JHQHO©OLVHOHUGH©GHUV©NLWDEÔ©RODUDN©NXOODQÔOPD\D©X\JXQ©ELU©oDOÔþPDGÔU « ÷÷÷«««%$6.,««««÷«««6$<)$««c « ÷÷÷÷«««%$6.,««««÷«««6$<)$«5(1./ĝ«««c '2ý586$/«5(*5(6<21«$/$1ĝ=ĝ1(«*ĝ5ĝÿ (ýĝ7ĝ0'(«g/d0(«9(«'(ý(5/(1'ĝ50( (GLW|UOHU«0ILW«*|POHNVL]«6HUGDU«(UNDQ %X©NLWDS©HüLWLP©VUHFLQGHNL©HQ©|QHPOL©XQVXUõ ODUGDQ©ELULVL©RODQ©|OoPH©YH©GHüHUOHQGLUPH\L©HOH© DOPDNWDGÔU©gOoPH©YH©GHüHUOHQGLUPH\H©LOLþNLQ© WHPHO©NDYUDPODU©ELOLþVHO©YH©GX\XþVDO©GDYUDQÔþODUÔQ© |OoOPHVL©SHUIRUPDQV©WHVWOHUL©|OoPH©DUDoODUÔQGD© EXOXQPDVÔ©JHUHNHQ©|]HOOLNOHU©WHVW©YH©PDGGH© DQDOL]L©NLWDSWD©\HU©DODQ©NRQXODUÔQ©EDþOÔFDODUÔGÔU gOoPH©YH©GHüHUOHQGLUPH©DODQÔQGD©GRNWRUD© \DSPÔþ©DNDGHPLV\HQOHUFH©|üUHWPHQ©DGD\ODUÔQD© \|QHOLN©RODUDN©\D]ÔODQ©EX©NLWDEÔQ©PHVOHN©KD\DWÔQÔ© VUGUHQ©|üUHWPHQOHULPL]©LoLQ©GH©\DUDUOÔ©ELU© ND\QDN©RODFDüÔQÔ©XPX\RUX] 'RXJODV«&«0RQWJRPHU\««(OL]DEHWK«$«3HFN«*«*HRI÷ IUH\«9LQLQJ«dHYLUL«(GLW|U«0«$\GÖQ«(UDU 5HJUHV\RQ©DQDOL]LQLQ©WHPHO©LONHOHULQH©JHQLþõ OHWLOPLþ©YH©JQFHOOHQPLþ©ELU©JLULþ©'RüUXVDO© 5HJUHV\RQ©$QDOL]´QLQ©%HþLQFL©%DVNÔVÔ©JQP]©ELOLPVHO©DUDþWÔUPDODUÔQGD© GRüUXVDO©UHJUHV\RQXQ©KHP©JHOHQHNVHO©KHP©GH©GDKD©D]©\D\JÔQ©NXOODQÔõ PÔQÔ©J|VWHUPH\L©VUGU\RU©<D]DUODU©PKHQGLVOLüL©LþOHWPH\L©YH©VDüOÔN© ELOLPOHULQL©LoHUHQ©oHþLWOL©DUDþWÔUPD©DODQODUÔQGDNL©UHJUHV\RQ©PRGHOõNXUPD© WHNQLNOHULQL©X\JXODPD\Ô©JHUHNWLUHQ©WHPHO©LONHOHULQ©DQODþÔOPDVÔ©LoLQ©NXUDP© YH©X\JXODPD\Ô©ELUOLNWH©HOH©DOPÔþODUGÔU©5HJUHV\RQ©PRGHOOHPHVLQH©JHQHO© JLULþ©WLSLN©X\JXODPDODU©YH©WHNQLN©DUDoODUÔQ©VXQXPX©LOH©NLWDSWD©WHPHO© oÔNDUVDPD©LþOHPOHUL©PRGHO©\HWHUOLOLüL©GHQHWLPLQH©JLULþ©YH©SROLQRPL\DO© UHJUHV\RQ©PRGHOOHUL©LOH©oHþLWOHUL©JLEL©DQD©NRQXODU©LoHULOPHNWHGLU©.LWDSWD© GDKD©VRQUD©G|QþPOHU©YH©DüÔUOÔNOÔ©HQ©NoN©NDUHOHULQ©PRGHO©\HWHUOLOLN© SUREOHPOHULQL©o|]PHN©LoLQ©QDVÔO©NXOODQÔODELOHFHüL©YH©D\UÔFD©HWNLOL©J|]OHPõ OHULQ©QDVÔO©HOH©DOÔQDFDüÔ©WDUWÔþÔOPDNWDGÔU « ÷÷÷÷«««%$6.,««««÷«««6$<)$«««c (.2120(75ĝ«,««(÷9,(:6«8<*8/$0$/,«9(«dg=h0/h«6258/$5 +«+DWLFH«g]NRo««0«+DQLIL«9DQ *QP]GH©HNRQRPHWUL©NRQXVX©LWLEDUÔ\OD©HNRQRPL© ELOLPLQLQ©YD]JHoLOPH]©DUDoODUÔQGDQ©ELUL©ROPXþWXU© (NRQRPL©WHRULVLQLQ©JLGHUHN©GDKD©VD\ÔVDO©ELU©ELoLPõ GH©HOH©DOÔQÔU©ROPDVÔ©YH©D\QÔ©]DPDQGD©ELOJLVD\DU© WHNQRORMLVLQGHNL©\DþDQDQ©KÔ]OÔ©LOHUOHPH©HNRQRõ PHWULQLQ©NXOODQÔP©DODQÔQÔQ©JHQLþOHPHVLQH©QHGHQ© ROPDNWDGÔU©%X©NLWDS©(NRQRPHWUL©,©GHUVOHULQL©WHPHO© DODUDN©|üUHQFLOHULQ©o|]PO©VRUXODU©]HULQGHQ©GHUV© NDSVDPÔQGD©DQODWÔODQ©NRQXODUÔ©GDKD©L\L©DQODPDVÔQÔ© « ÷÷÷÷«««%$6,0'$1«d(9ĝ5ĝ««««÷«««6$<)$««c QREHO#QREHO\D\LQFRP©õ©ZZZQREHO\D\LQFRP©õ©ZZZQREHON LWDSFRP©õ©ZZZHEDELO\D\LQODULFRP MATEMATİK - İSTATİSTİK *HQHO©0DWHPDWLN©õ©7HNQLN©0DWHPDWLN©õ©ěVWDWLVWLN©õ©2ODVÔOÔN (NRQRPHWUL©õ©0DWHPDWLN©güUHWLPL YH©V|]©NRQXVX©NRQXODUÔQ©(õ9LHZV©X\JXODPDODUÔQÔ©JHUoHNOHþWLUHELOPHOHULQL© VDüODPD\Ô©DPDoODPDNWDGÔU©.LWDSWD©\HU©DODQ©VRUXODUÔQ©o|]PQGH©DOWHUQDWLI© \DNODþÔPODU©GD©GLNNDWH©DOÔQPÔþ©ROXS©\DOÔQ©ELU©DQODWÔP©GLOL©DQODþÔOÔUOÔN©DoÔVÔQGDQ© WHUFLK©HGLOPLþWLU .LWDEÔQ©EX©FLOGL©HNRQRPHWUL©HüLWLPL©DODQ©OLVDQV©\NVHN©OLVDQV©YH©GRNWRUD© |üUHQFLOHULQLQ©\DQÔQGD©HNRQRPHWUL©LOH©LOJLOHQHQ©DNDGHPLV\HQ©YH©DUDþWÔUPDõ FÔODUÔ©KHGHI©DOPDNWDGÔU(NRQRPHWUL©OLWHUDWUQGH©\HU©DODQ©YH©|QHPOL©WHPHO© NLWDSODUGDQ©ELUL©RODQ©(NRQRPHWUL\H©*LULþ©GHUV©NLWDEÔ©RODUDN©RNXWXODELOHFHüL© JLEL©VDüODGÔüÔ©IDUNOÔ©EDNÔþ©DoÔVÔ©LOH©\DUGÔPFÔ©NLWDS©RODUDN©GD©NXOODQÔODELOLU©YH© DUDþWÔUPDFÔODUD©|QHULOHELOLU « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c (.2120(75ĝ.«=$0$1«6(5ĝ/(5ĝ«$1$/ĝ=ĝ « ÷÷÷÷«««%$6,0'$1«d(9ĝ5ĝ««««÷«««6$<)$««5(1./ĝ««c 0XVWDID«6HYNWHNLQ«0HKPHW«1DUJHOHoHNHQOHU (17523ĝ«ĝ1)250$6<21«9(«(17523ĝ«237ĝ0ĝ=$6<21 « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c $ODGGLQ«ÿDPLORY (.2120(75ĝ<(«*ĝ5ĝÿ « %$6.,'$ $]L]«.XWODU *QP]GH©VRV\DO©ELOLPOHULQ©HQ©|QHPOL©LOJL©DODQõ ODUÔQGDQ©ELULQL©DPSLULN©oDOÔþPDODU©ROXþWXUPDNWDGÔU© %LU©\|QWHP©ELOLP©RODUDN©HNRQRPHWUL©EDþWD©HNRQRPL© ROPDN©]HUH©ELU©GL]L©VRV\DO©ELOLPH©\|QWHP©DoÔVÔQGDQ© UHKEHUOLN©HGHFHN©GXUXPGDGÔU©g]HOOLNOH©QLYHUVLõ WHOHULQ©HNRQRPL©HNRQRPHWUL©LþOHWPH©YH©HQGVWUL© PKHQGLVOLüL©E|OPOHUL©LOH©SVLNRORML©VRV\RORML©YH© EHQ]HUL©E|OPOHULQGH©RNX\DQ©OLVDQV©YH©OLVDQV©VW© |üUHQFLOHULQLQ©DQOD\DELOHFHüL©G]H\GH©KD]ÔUODQDQ© EX©NLWDEÔQ©\|QWHPOH©LOJLOL©VRUXQODUÔ©|QHPOL©|OoGH© WHODIL©HGHFHüL©GþQOPHNWHGLU©.LWDSWD©WHRULN©ELOõ JLOHULQ©\DQÔQGD©EROFD©o|]OPþ©DoÔNODPDOÔ©|UQHN©YH©\RUXPODUD©\HU©YHULOPLþWLU (61(.«+(6$3/$0$«³0(/(=«=(.ĝ«6ĝ67(0/(5«ĝdĝ1«%ĝ5«5(+%(5´« %DKDGÖU«.DUDVXOX ©<DSD\©]HNk©LQVDQ©]HNkVÔQD©PDNLQHOHU©]Hõ ULQGHQ©LQVDQD©EHQ]HU©ELU©ELoLPGH©GþQHFHN© YH©GDYUDQDFDN©þHNLOGH©|\NQPH\L©KHGHIOHõ PHNWHGLU %X©NDYUDP©OLWHUDWUGH©±]HNL©PDNLQHOHULQ© ROXþWXUXOPDVÔ©LoLQ©ELOLP©YH©PKHQGLVOLN²© RODUDN©LIDGH©HGLOPLþWLU©+HVDSODPDOÔ©]HNk© LVH©\DSD\©]HNk´QÔQ©IDUNOÔODþPÔþ©ELU©KDOLGLU© YH©\DSD\©VLQLU©KFUHOHUL©EXODQÔN©VLVWHPOHU© HYULPVHO©KHVDSODPD©YH©EXQODUÔQ©VLQHUMLN© NRPELQDV\RQODUÔ©JLEL©HQL\LOHPH©WHNQLNOHUL© LOH©VH]JLVHO©DOJRULWPDODUÔQ©NRPELQDV\RQXQX© WHPHO©DOPDNWDGÔU©7HPHOGH©\XNDUÔGD©DQÔODQ©KHVDSVDO©DUDoODUÔ©EHOLUOL©ELU© VLQHUML©ROXþWXUPDN©LoLQ©ELU©DUD\D©JHWLUPH\H©oDEDOD\DQ©\DNODþÔPODU©OLWHUDõ WUGH©EROFD©PHYFXWWXU©(VQHN©KHVDSODPD©DVOÔQGD©JLWJLGH©GDKD©oRN©UDüEHW© J|UHQ©EX©VLQHUMLN©\DNODþÔPÔQ©ELU©VRQXFX©RODUDN©RUWD\D©oÔNPÔþWÔU©*HUoHN© KD\DW©SUREOHPOHULQH©DOWHUQDWLI©o|]POHU©UHWPHN©DGÔQD©EX©VLQHUMLQLQ© WHVLV©HGLOPHVLQL©NHQGLQH©DQD©XüUDþ©NRQXVX©RODUDN©HGLQPLþWLU©.DUPDþÔN© SUREOHPOHULQ©o|]OHELOPHVL©YH©NDUDU©YHUPH©JLEL©NRQXODUGD©KHP©ELUoRN© IDUNOÔ©ELOHþHQGHQ©ROXþDQ©PHOH]©VLVWHPOHULQ©WDVDUODQPDVÔ©KHP©GH©KHU©PHOH]© VLVWHPLQ©HYUHQVHO©RODUDN©KHU©SUREOHP©oHþLGLQL©o|]HPH\HFHüL©JHUoHüLQLQ© J|]©|QQH©DOÔQPDVÔ©JHUHNLU « ÷÷÷÷««*h1&(//(10ĝÿ««%$6,0««««÷«««6$<)$««c (.2120(75ĝ<(«*ĝ5ĝÿ«,«0RGHUQ«<DNODĀÖP««,1752'8&725<« (&2120(75,&6 -HIIUH\«0«:RROGULGJH« dHYLUL«(GLW|U«(EUX«dDþOD\DQ ěNL©FLOWWHQ©ROXþDQ©NLWDS©HNRQRPHWUL©LOH©LOJLOL©WHPHO© NRQXODUGDQ©EDþOD\DUDN©LOHUL©G]H\GH©ELOJLOHU©GH© YHUPHNWHGLU©.LWDS©D\QÔ©]DPDQGD©X\JXODPDOÔ© oDOÔþPDODUGD©YH©DUDþWÔUPD©SURMHOHULQLQ©X\JXõ ODQPDVÔQGD©L]OHQHFHN©\ROODUÔ©YH©NDUþÔODþÔODFDN© SUREOHPOHULQ©o|]P©LoLQ©JHUHNOL©RODQ©|QHPOL© ELOJLOHUL©GH©VDüODPDNWDGÔU©.LWDEÔQ©ELULQFL©FLOGLQGH© \DWD\©NHVLW©YHULOHUL©YH©]DPDQ©VHULVL©YHULOHUL©NXOODQÔõ ODUDN©UHJUHV\RQ©DQDOL]OHULQLQ©\DSÔOÔþODUÔ©GHüLþHQ© YDU\DQV©RWRNRUHODV\RQ©JLEL©WHPHO©NRQXODU©HOH© DOÔQÔUNHQ©LNLQFL©FLOWWH©SDQHO©YHUL©NXOODQÔODUDN© WDKPLQ©HGLOHQ©PRGHOOHU©\DQÔQGD©HþDQOÔ©GHQNOHP©PRGHOOHUL©VÔQÔUOÔ©EDüÔPOÔ© GHüLþNHQOL©PRGHOOHU©JLEL©GDKD©LOHUL©HNRQRPHWUL©NRQXODUÔ©HOH©DOÔQPDNWDGÔU© .LWDEÔQ©ELULQFL©FLOGL©HNRQRPHWUL\H©\HQL©EDþOD\DQ©DUDþWÔUPDFÔODU©LOH©PDOL\H© LNWLVDW©JLEL©ELU©YH\D©LNL©G|QHP©WHPHO©HNRQRPHWUL©GHUVOHULQLQ©RNXWXOGXüX© E|OPOHUGHNL©OLVDQV©|üUHQFLOHULQL©KHGHIOHPHNWHGLU©%LULQFL©FLOW©YH©LNLQFL©FLOW© ELUOLNWH©HOH©DOÔQGÔüÔQGD©LVH©HNRQRPHWUL©E|OP©|üUHQFLOHUL©EDþWD©ROPDN©]HUH© GLüHU©E|OP©|üUHQFLOHULQH©\NVHN©OLVDQV©|üUHQFLOHULQH©YH©GDKD©LOHUL©NRQXODUÔ© |üUHQPHN©LVWH\HQ©DUDþWÔUPDFÔODUD©YH©WH]©\D]DQODUD©\|QHOLNWLU©.LWDSWD©D\UÔFD© HN©E|OPOHULQGH©WHPHO©LVWDWLVWLN©NRQXODUÔ©YH©PDWULV©FHEUL©LOH©LOJLOL©DoÔNODPDODUD© \HUYHULOPHNWHGLU©.LWDS©GD©D\UÔFD©DUDþWÔUPDFÔODUD©\DUGÔPFÔ©RODELOHFHN©ELU©V|]ON© \HUDOPDNWDGÔU©(NRQRPHWUL©OLWHUDWUQGH©\HUDODQ©YH©|QHPOL©WHPHO©NLWDSODUGDQ© ELUL©RODQ©EX©NLWDS©GHUV©NLWDEÔ©RODUDN©RNXWXODELOHFHüL©JLEL©VDüODGÔüÔ©IDUNOÔ©EDNÔþ© DoÔVÔ©LOH©\DUGÔPFÔ©NLWDS©RODUDN©GD©NXOODQÔODELOLU©YH©DUDþWÔUPDFÔODUD©|QHULOHELOLU .LWDS©NDSVD\ÔFÔ©YH©VLVWHPDWLN©ELU©OLWHUDWU©LQFHOHPHVL©VXQPDVÔQÔQ©\DQÔ©VÔUD© LOJLOL©NRQXODUGD©OLVDQV©YH©OLVDQVVW©|üUHQFLOHULQLQ©YH©PHOH]©]HNL©VLVWHPOHU© DODQÔQD©\HQL©JLULþ©\DSDQ©DUDþWÔUPDFÔODUÔQ©oHþLWOL©G]H\OHUGH©ID\GDODQDELOHFHüL© DOJRULWPLN©\DNODþÔPODUÔ©WHNQLNOHUL©oHþLWOL©|UQHN©GXUXP©YH©oDOÔþPDODUÔ©GD© LoHUPHNWHGLU©.LWDS©JHQHOGHQ©|]HOH©JLGLOPHVL©IRUPDV\RQXQX©WDNLS©HWWLüL© LoLQ©|QFHOLNOH©\DSD\©]HNk©KHVDSODPDOÔ©]HNk©HVQHN©KHVDSODPD©NRQXODUÔQÔQ© GHWD\ODUÔQD©GHüLQHUHN©JHUHNOL©ELOLPVHO©DOW\DSÔ\Ô©ROXþWXUPDNWD©GDKD©VRQUD© PHOH]©]HNL©VLVWHPOHULQ©VLVWHPDWLN©RODUDN©VÔQÔIODQGÔUÔOPDVÔQD©JHoPHNWHGLU© %X©VÔQÔIODQGÔUPD©X\JXQ©|UQHNOHU©LOH©GHVWHNOHQHUHN©RNX\XFX\D©JHQHO©ELU© SHUVSHNWLIWHQ©NRQX\D©EDNPD©LPNkQÔ©VDüODQÔOPDVÔ©GþQOPþWU©%X© NLWDS©RNX\XFX\D©WHPHO©G]H\GH©ELOJL©ND]DQGÔUPD\Ô©KHGHIOHPHNWHGLU© .LWDSWD©EDKVL©JHoHQ©oHþLWOL©WHNQLN©YH©\|QWHPOHULQ©YHULOHQ©GXUXPD©X\JXQ© ELU©|UQHN©WHþNLO©HGHFHüL©GþQOHQOHUL©LoLQ©NDED©NRG©SVHXGRõFRGH© |UQHNOHUH©GH©NLWDSWD©\HU©YHULOPLþWLU « ÷÷÷÷«««%$6.,«««««;««««6$<)$«««c « ÷÷÷÷«««%$6,0'$1«d(9ĝ5ĝ««««÷«««6$<)$««5(1./ĝ««c )ĝ1$16«0$7(0$7ĝýĝ (.2120(75ĝ<(«*ĝ5ĝÿ«,,«0RGHUQ«<DNODĀÖP««,1752'8&725<« (&2120(75,&6 0HUDO«6XFX«)XQGD«.XO %X©NLWDS©hQLYHUVLWHOHULQ©(NRQRPL©ěþOHWPH©%DQõ NDFÔOÔN©)LQDQV©YH©$NWHU\D©%|OPOHULQGH©YHULOHQ© )LQDQV©0DWHPDWLüL©GHUVOHUL©LoLQ©GHUV©NLWDEÔ©RODUDN© KD]ÔUODQPÔþWÔU©6HUPD\H©3L\DVDVÔ©.XUXPX©63.© /LVDQVODPD©VÔQDYODUÔ©LOH©$NWHUOLN©VÔQDYODUÔQD© JLUHFHN©DGD\ODUÔQ©NXOODQDELOHFHNOHUL©ELU©ND\QDN© NLWDS©RODFDNWÔU©.LWDSWD©\HU©DODQ©NRQXODU©EDVLW© ELU©GLOOH©\D]ÔOPÔþ©oRN©VD\ÔGD©|UQHN©LOH©NRQXODUÔQ© DQODþÔODELOLUOLüL©VDüODQPD\D©oDOÔþÔOPÔþWÔU+HU©E|Oõ PQ©VRQXQGD©YHULOHQ©IDUNOÔ©DOÔþWÔUPDODU©LOH©ELOJLQLQ© SHNLþWLULOPHVL©VDüODQPÔþWÔU -HIIUH\«0«:RROGULGJH« dHYLUL«(GLW|U«(EUX«dDþOD\DQ ěNL©FLOWWHQ©ROXþDQ©NLWDEÔQ©LNLQFL©FLOGL©\HGL©E|OPGHQ© ROXþPDNWDGÔU©%X©FLOWWH©HþDQOÔ©GHQNOHPOHU©DUDo© GHüLþNHQOHU©WDKPLQL©KDYX]ODQPÔþ©YH©SDQHO©YHUL© PRGHOOHUL©JLEL©|]HO©NRQXODU©HOH©DOÔQPDNWDGÔU©6RQ© E|OPGH©DPSLULN©ELU©oDOÔþPDQÔQ©\DSÔOPDVÔQGD© L]OHQHFHN©DGÔPODU©\HU©DOPDNWDGÔU©%X©NRQXODUÔQ© \DQÔQGD©LNLQFL©FLOGLQ©HN©E|OPOHULQGH©WHPHO©LVWDõ WLVWLN©NRQXODUÔ©YH©PDWULV©FHEUL©LOH©LOJLOL©DoÔNODPDODUD© \HU©YHULOPHNWHGLU©.LWDSWD©D\UÔFD©DUDþWÔUPDODUGD© \DUGÔPFÔ©RODELOHFHN©ELU©V|]ON©EXOXQPDNWDGÔU© « ÷÷÷÷«««%$6.,«««««;««««6$<)$«««c QREHO#QREHO\D\LQFRP©õ©ZZZQREHO\D\LQFRP©õ©ZZZQREHON LWDSFRP©õ©ZZZHEDELO\D\LQODULFRP MATEMATİK - İSTATİSTİK *HQHO©0DWHPDWLN©õ©7HNQLN©0DWHPDWLN©õ©ěVWDWLVWLN©õ©2ODVÔOÔN (NRQRPHWUL©õ©0DWHPDWLN©güUHWLPL )21.6ĝ<21(/«$1$/ĝ= *(1(/«0$7(0$7ĝ.«ĝĀOHWPH«ĝNWLVDW«<DĀDP«YH«6RV\DO«%LOLPOHU«ĝoLQ«« &$/&8/86«IRU«%XVLQHVV«(FRQRPLFV«/LIH«6FLHQFHV«DQG«6RFLDO«6FLHQFHV <NVHO«6R\NDQ %X©NLWDS©QLYHUVLWHOHULPL]LQ©OLVDQV©VHYL\HVLQGH© RNXWXODQ©±)RQNVL\RQHO©$QDOL]²©GHUVLQH©\DUGÔPFÔ© ROPDN©DPDFÔ\OD©KD]ÔUODQPÔþWÔU©.LWDSWD©OLVDQV© VHYL\HVLQGH©JHUHNOL©RODELOHFHN©ELUoRN©ELOJL\H© YH©NRQX\D©\HU©YHULOPH\H©oDOÔþÔOPÔþWÔU©YH©OLQHHU© IRQNVL\RQHO©DQDOL]LQ©\|QWHP©YH©ILNLUOHULQLQ©ELU© WDQÔWÔPÔ©VDüODQDUDN©VRQOX©ER\XWOX©OLQHHU©FHELULQ© YH©DQDOL]LQ©L\L©ELOLQHQ©YH©\DUDUOÔ©NDYUDPODUÔQÔQ©QDVÔO© VRQVX]©ER\XWOX©QRUPOX©X]D\ODUD©JHQLþOHWLOHELOHõ FHüL©J|VWHULOPLþWLU©/LVDQV©VW©oDOÔþPDODUGD©GD© NLWDSWDQ©ND\QDN©RODUDN©\DUDUODQÔODELOLU©dDOÔþPD© QLYHUVLWHOHULQ©PDWHPDWLN©YH©IL]LN©E|OPOHULQGH©RNXWXODQ©±)RQNVL\RQHO© $QDOL]²©GHUVOHULQGH©GHUV©NLWDEÔ©RODUDN©RNXWXODELOHFHN©QLWHOLNWHGLU 6¯$# g'h//h 0RQG«$«%DUQHWW««0LFKDHO«5«=LHJOHU«.DUO«(« %\OHHQ«dHYLUL«(GLW|U«$ULI«6DEXQFXRþOX %X© NLWDS© QLYHUVLWHOHULPL]LQ© LNWLVDW© LþOHWPH©SVLNRORML©VRV\RORML©DQWURSRõ ORML©EL\RORML©HF]DFÔOÔN©WÔS©YHWHULQHUOLN© ]LUDDW©RUPDQ©GHQL]FLOLN©KDYDFÔOÔN©YE©E|OPOHULQLQ©ELULQFL©VÔQÔIODUÔQGD© YHULOHQ©PDWHPDWLN©GHUVOHULQGH©RNXWXODELOHFHN©HQ©X\JXQ©NLWDSODUGDQ© ELULGLU©ěoLQGHNL©|UQHNOHU©YH©SUREOHPOHU©JHUoHN©\DþDP©SUREOHPOHULQõ GHQ©VHoLOPLþWLU©6|]Q©HWWLüLPL]©IDNOWHOHUGH©EX©NLWDEÔ©L]OH\HQ©ELU© |üUHQFL©±%HQ©EX©PDWHPDWLN©GHUVLQL©QL\H©RNX\RUXP"²©VRUXVXQX©DUWÔN© VRUPD\DFDNWÔU©güUHWLP©\HVL©YH©|üUHQFLOHU©NLWDSWD©KDQJL©GDOOD©LOJLOL© ROGXüX©EHOLUWLOHUHN©YHULOHQ©X\JXODPD©SUREOHPOHULQLQ©LoLQGH©NHQGL© EUDQþÔQD©DLW©JHUoHN©\DþDP©SUREOHPOHULQL©EXODELOHFHNOHUGLU©.LWDS©LNL© NÔVÔP©YH©GRNX]©E|OPGHQ©ROXþPDNWD©|üUHQFLOHUL©PDWHPDWLN©NRQXODõ UÔQÔ©JUDILNVHO©VD\ÔVDO©YH©|]HOOLNOH©GH©FHELUVHO©RODUDN©DUDþWÔUPD\D©WHþYLN© HWPHNWHGLU©+HU©E|OPQ©VRQXQGD©NRQXQXQ©GDKD©L\L©DQODþÔOPDVÔQÔ© VDüOD\DQ©WHNUDUODU©YH©WHNUDU©DOÔþWÔUPDODUÔ©EXOXQPDNWDGÔU « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c )21.6ĝ<21(/«$1$/ĝ=«dg=h0/h«$/,ÿ7,50$/$5, <NVHO«6R\NDQ )RQNVL\RQHO©$QDOL]©d|]PO©$OÔþWÔUPDODUÔ©\D]DUÔQ© )RQNVL\RQHO©$QDOL]©DGOÔ©NLWDEÔQÔQ©DOÔþWÔUPDODUÔQÔQ© WPQQ©NDSVDPOÔ©o|]POHULQL©LoHUPHNWHGLU© .LWDSWD©VRUXODU©o|]OUNHQ©JHUHNOL©KDWÔUODWPDõ ODU© \DSÔOPÔþ© o|]POHU© \HWHULQFH© DoÔN© RODUDN© YHULOPLþWLU©dDOÔþPD©QLYHUVLWHOHULQ©PDWHPDWLN© E|OPOHULQGH©RNXWXOPDNWD©RODQ©)RQNVL\RQHO© $QDOL]©GHUVLQLQ©DQODþÔOPDVÔQÔ©NROD\ODþWÔUDFDNWÔU© .LWDS©QLYHUVLWHOHULPL]GH©OLVDQV©YH©OLVDQV©VW© G]H\GH©)RQNVL\RQHO©$QDOL]©GHUVL©DODQ©|üUHQFLOHUH© ND\QDNOÔN©HGHFHN©ELU©oDOÔþPDGÔU©%LUoRN©DODQGD© HNVLNOLüL©KLVVHGLOHQ©7UNoH©DOÔþWÔUPD©NLWDEÔ©HNVLNOLüLQLQ©GH©JLGHULOPHVL© \ROXQGD©NoN©ELU©NDWNÔPÔ]©ROPDVÔQÔ©PLW©HGL\RUX] « ÷÷÷÷«««%$6,,0'$1«d(9ĝ5ĝ««««;««;9,«««6$<)$«««c *(1(/«7232/2-ĝ «1XUHWWLQ«(UJXQ %X© NDSVDPOÔ© NLWDSWD© o|]POHUL© D\UÔQWÔOÔ© ELoLPGH© YHULOPLþ© © |UQHN© YH© $OÔþWÔUPD© NDQÔWODPDODUÔ©D\UÔQWÔOÔ©ELoLPGH©DQODWÔOPÔþ©YH© oRüX©LON©NH]©ELU©7UNoH©7RSRORML©NLWDEÔQGD©\HU© DODQ©©gQHUPH©YH©7HRUHP©\HU©DOPDNWDGÔU© .LWDEÔQ©VRQXQGD©3URI©'U©&HP©7H]HU©WDUDIÔQGDQ© XVWDOÔNOÔ©ELoLPGH©\D]ÔOPÔþ©©VD\IDOÔN©ELU©&HELUõ VHO©7RSRORML´\H©*LULþ©EOP©\HU©DOPDNWDGÔU « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c *(1(/«0$7(0$7ĝ. $KPHW«'HUQHN *HQHO© 0DWHPDWLN© NLWDEÔ© )HQ© (GHEL\DW© )Dõ NOWHOHULQLQ© 0DWHPDWLN© E|OPOHUL© GÔþÔQGD© 0DWHPDWLN© *HQHO© 0DWHPDWLN© <NVHN© 0Dõ WHPDWLN© JLEL© LVLPOHU© DOWÔQGD© YHULOHQ© GHUVOHU© LoLQ©KD]ÔUODQPÔþWÔU©7HNQLN©(üLWLP©)DNOWHOHUL© YH©(üLWLP©)DNOWHOHULQLQ©\DQÔ©VÔUD©ěNWLVDW©YH© (NRQRPL© E|OPOHULQGH© YHULOHQ© 0DWHPDWLN© GHUVL© SURJUDPODUÔQD© GD© X\JXQ© ELU© LoHULüH© VDKLS©RODQ©oDOÔþPD©|üUHQFLOHULQ©NRQXODUÔ©L\L© |üUHQHELOPHOHULQH©X\JXQ©ELU©VOXSOD©NDOHPH© DOÔQPÔþWÔU « ÷÷÷÷««%$6.,«««÷«««6$<)$«««c *(1(/«<(7(1(.«352%/(0/(5ĝ ĝVPDLO«1DFL«&DQJO « ÷÷÷;«««%$6.,««««÷«««6$<)$««c « ÷÷÷÷«««%$6.,«««««;««««6$<)$«««c +$1'%22.«2)«67$7,67,&$/«7(506 *(1(/«0$7(0$7ĝ.««0<2«ĝoLQ«0DWHPDWLN«YH«d|]POHUL ÿDQVOÖ«ÿHQRO«+DNDQ«6DYDĀ«6D]DN«$OL«0HUW«$VOÖ«.ÖOÖo *QP]GH©JHOHFHüH©G|QN©ELOLPLQ©LVWDWLVWLN©DOWõ \DSÔVÔQD©YH©ELOJL©VLVWHPLQH©YHUGLüL©|QHPOH©ELUOLNWH© 7UNL\H´GHNL©QLYHUVLWHOHUGH©±LVWDWLVWLNoL²©\HWLþWLUHQ© LVWDWLVWLN©E|OPOHULQLQ©VD\ÔVÔ©GD©DUWPDNWDGÔU©ěVWDWLVWLN© NLWDSODUÔQÔQ©oRüXQOXüXQXQ©ěQJLOL]FH©\D]ÔOPÔþ©ROPDVÔ© J|]©|QQH©DOÔQGÔüÔQGD©|üUHQFL©\D©GD©PH]XQ©WP© LVWDWLVWLNoLOHU©LoLQ©RUWDN©ELU©ěVWDWLVWLN©GLOL©ROXþWXUPDQÔQ© JHUHNOL©ROGXüXQD©LQDQGÔN©%X©HONLWDEÔQÔ©\D]DUNHQ© DPDFÔPÔ]©NÔVDFD©ěVWDWLVWLN©E|OPOHULQGH©RNX\DQ©\D© GD©PH]XQ©RODQ©WP©LVWDWLVWLNoLOHU©LoLQ©RUWDN©ELU©ěVWDWLVWLN©GLOL©ROXþWXUPDN© ěQJLOL]FH©LVWDWLVWLN©WHULPOHUL©LOH©7UNoH©LVWDWLVWLN©WHULPOHUL©DUDVÔQGDNL©X\XPX© VDüODPDN©LoLQ©LVWDWLVWLNoLOHULQ©\DUDUODQÔODELOHFHNOHUL©RUWDN©ELU©HO©NLWDEÔ© \D]PDN©RODUDN©|]HWOHQHELOLU 6LQDQ«dHYLN«(QJLQ«%R]DFÖ %X©NLWDS©|üUHQFLOHUH©PDWHPDWLN©GHUVLQLQ©GDKD© L\L©DQODþÔOPDVÔ©LoLQ©KD]ÔUODQPÔþ©ROXS©NLWDSWD©Eõ WQ©NRQXODU©SUDWLN©\|QOHUL\OH©YH©VLVWHPOL©RODUDN© DoÔNODQPÔþWÔU©.RQXODU©JHQHOOLNOH©|UQHNOHUOH©oRN© DOÔþWÔUPD©YHUHUHN©NDYUDWÔOPD\D©oDOÔþÔOPÔþWÔU©gUQHN© VHoLPOHUL©GH©0HVOHN©<NVHN©RNXOODUÔQGD©WHNQLN© YH©VRV\DO©E|OPOHUH©X\JXQ©VHoLOPLþWLU©%X©NLWDS© GHUV©LoLQGH©DQODWÔODQ©NRQXODUÔQ©SHNLþWLULOPHVL© LoLQ©NXOODQÔODFDN©HNVLNOHULQ©WDPDPODQPDVÔQD© \DUGÔPFÔ© RODFDNWÔU© .LWDEÔPÔ]© 'LNH\© *HoLþ© 6ÔQDYODUÔ©LoLQ©GH©ND\QDN©RODUDN©NXOODQÔODELOLU « ÷÷÷÷«««%$6.,««««;«««6$<)$«««c « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c QREHO#QREHO\D\LQFRP©õ©ZZZQREHO\D\LQFRP©õ©ZZZQREHON LWDSFRP©õ©ZZZHEDELO\D\LQODULFRP MATEMATİK - İSTATİSTİK *HQHO©0DWHPDWLN©õ©7HNQLN©0DWHPDWLN©õ©ěVWDWLVWLN©õ©2ODVÔOÔN (NRQRPHWUL©õ©0DWHPDWLN©güUHWLPL ĝ/(5ĝ«0h+(1'ĝ6/ĝ.«0$7(0$7ĝýĝ««$GYDQFHG«(QJLQHHULQJ«0DWKHPDWLFV +ĝd«0$7(0$7ĝ.«(ý/(1&(/ĝ«2/$%ĝ/ĝ5«0ĝ"«0$7(0$7ĝ.«2<81/$5, ĝVPDLO«1DFL«&DQJO 3HWHU«9«2¶1HLO«dHYLUHQ«<DĀDU«3DOD « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c %X©NLWDS©ONHPL]GH©PKHQGLVOLüLQ©oRN©VD\ÔGDNL© GDOÔQGD©WHPHO©OLVDQV©YH©\NVHN©OLVDQV©SURJUDPODõ UÔQGD©]RUXQOX©GHUV©RODUDN©RNXWXODQ©PKHQGLVOLN© PDWHPDWLüL©YH©LOHUL©PKHQGLVOLN©PDWHPDWLüL© NRQXODUÔQÔ©LoHUPHNWH©YH©NRQXODUÔ©DQODþÔOÔU©PRGHUQ© ELU©GLOOH©HOH©DOPDNWDGÔU©.LWDS©GLüHU©ONHOHUGH©GH© NDEXO©J|UPþ©ELU©HVHUGLU©ěON©\D\ÔQODQGÔüÔ©WDULKõ WHQ©LWLEDUHQ©VUHNOL©\HQLOHQHUHN©PDWHPDWLüLQ© LOHUL©WHNQRORMLN©X\JXODPDODUGDNL©NXOODQÔPÔQÔ© GD©LKWLYD©HGHFHN©þHNLOGH©JHQLþOHWLOPLþ©YH©oRN© VD\ÔGDNL©PKHQGLVOLN©DODQÔQÔQ©LKWL\DFÔQD©FHYDS© YHUHFHN©ELU©IRUPDWD©JHWLULOPLþWLU©%X©\|Q\OH©ONHPL]GH©GH©PKHQGLVOLN© IL]LN©PDWHPDWLN©YV©DODQODUÔQD©NDWNÔ©\DSDFDüÔQD©GDLU©PLGLPL]©WDPGÔU©(VHU© EX©DODQGDNL©LON©7UNoH©HVHU©ROPDVÔQÔQ©\DQÔQGD©PRGHUQ©PKHQGLVOLN©X\JXõ ODPDODUÔQGD©RUWD\D©oÔNDQ©ED]Ô©NDYUDPODUÔQ©7UNoH©NHOLPHOHUOH©NDUþÔODQPDVÔ© KXVXVXQGD©GD©ELU©NDWNÔ©\DSPDNWDGÔU©]LUD©PDWHPDWLN©DODQÔQGDNL©oHYLUL©HVHUOHULQ© oRüXQGD©EX©NDYUDPODU©\D©KLo©JHoPHPHNWH©\D©GD©EX©NRQXODUGD©KLoELU©oHYLUL© HVHU©\DSÔOPDPÔþWÔU©%X©\HQL©PDWHPDWLNVHO©YH©WHNQRORMLN©NDYUDPODUÔ©GLOLPL]GH© NDUþÔODPDGD©]RUOXNODU©\DþDQPÔþ©YH©\DþDQÔ\RU©ROXQPDVÔQD©UDüPHQ©HOGHQ© JHOGLüLQFH©7UNoH©PKHQGLVOLN©PDWHPDWLüL©GLOL©ROXþWXUXOPXþWXU©8]XQ©]Dõ PDQGÔU©|üUHQFLOHULPL]LQ©]RUODQGÔNODUÔ©EX©GDOGD©7UNoH©ELU©HVHUH©RODQ©LKWL\Do© EX©oDOÔþPD©LOH©JLGHULOPH\H©oDOÔþÔOÔQPÔþWÔU©6DPLPL©PLGLPL]©RGXU©NL©LNL©\ÔOOÔN© ELU©oHYLUL©YH©\D]ÔP©VUHFLQGHQ©VRQUD©RUWD\D©oÔNDQ©EX©HVHU©LVWHQLOHQ©PDGGL© YH©PDQHYL©NDWNÔODUÔ©\DSDELOVLQ ,6,«7(502'ĝ1$0ĝ.«9(«ĝ67$7ĝ67ĝ.«)ĝ=ĝ. )HY]L«.|NVDO«5DKPL«.DUDN|VH %X©NLWDS©)HQ©)DNOWHOHULQLQ©)L]LN©.LP\D©YH© $VWURQRPL©%|OPOHULQGH©YH©0KHQGLVOLN© )DNOWHOHULQLQ© 0DNLQH© ěQþDDW© 0DO]HPH© %LOLPL© dHYUH© *ÔGD© 0HNDWURQLN© YH© (QHUML© 6LVWHPOHUL©0KHQGLVOLüL©%|OPOHULQGH©OLVDQV© |üUHQFLOHULQH©GHUV©NLWDEÔ©RODUDN©\D]ÔOPÔþWÔU© .LWDS© RQ© E|OPGHQ© ROXþPDNWDGÔU© YH© ÔVÔ© WHUPRGLQDPLN©YH©LVWDWLVWLNVHO©IL]LN©LoLQ©WP© NDYUDPODUÔ©oDüGDþ©YH©DoÔN©ELU©ELoLPGH©LQõ FHOHPHNWHGLU©$\UÔFD©KHU©E|OPQ©VRQXQD© NRQXODQ©o|]PO©|UQHN©DOÔþWÔUPDODUOD©NRõ QXODUD©\DNODþÔP©NROD\OÔüÔ©VDüODQPDNWDGÔU© 1DQRELOLP©YH©QDQRWHNQRORMLQLQ©DQODþÔOPDVÔ© LoLQ©NXDQWXP©PHNDQLüL©NDGDU©EX©NLWDEÔQ©GD©RNXWXOPDVÔ©JHUHNLU©$\UÔFD© oDüGDþ©LQVDQ©RODELOPHN©LoLQ©GH©EX©NLWDEÔQ©LoLQGHNL©NDYUDPODU©KDNNÔQGD© D]©\D©GD©oRN©ELOJL©VDKLEL©ROPDN©JHUHNOL©ELU©NRþXOGXU « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c ,7(0«5(63216(«7+(25<« 'H0DUV«dHYLUL«(GLW|U««+O\D«.HOHFLRþOX « ÷÷÷÷«««%$6,0'$1«d(9ĝ5ĝ««««÷«««6$<)$««c « d(9ĝ5ĝ'( ĝ/.2.8/«YH«257$2.8/«0$7(0$7ýĝ««(OHPHQWDU\«DQG«0LGGOH«6FKRRO« 0DWKHPDWLFV ĝ/(5ĝ«$1$/ĝ= $«7XUDQ«*UNDQOÖ«$\ĀH«6DQGÖNoÖ -RKQ«$«9DQ«'H«:DOOD«.DUHQ«6«.DUS«-HQQLIHU«0« %D\«:LOOLDPV«dHYLUL«(GLW|U«6RQHU«'XUPXĀ .LWDEÔQ© LON© o© E|OPQGH© QRUPOX© X]D\ODõ UÔQ©WRSRORMLVL©EX©X]D\ODUGD©OLPLW©VUHNOLOLN© WÔNÔ]OÔN© YH© EXQODUOD© LOJLOL© |]HOOLNOHUH© GDKD© VRQUD© GD© 5Q© gNOLG© X]D\ÔQGDNL© X\JXODPDõ ODUÔQD© \HU© YHULOPLþWLU© '|UGQF© E|OPGH© LVH©QRUPOX©X]D\ODUGD©VHULOHU©SR]LWLI©WHULPOL© VHULOHU©DOWHUQH©VHULOHU©YH©NXYYHW©VHULOHUL©HOH© DOÔQPÔþWÔU© %HþLQFL© E|OPGH© |QFH© 5Q© ]Hõ ULQGH© WDQÔPOÔ© oRN© GHüLþNHQOL© IRQNVL\RQõ ODUÔQ© NÔVPL© WUHYOHUL© JUDG\HQW© NDYUDPÔ© \|QO© WUHY© GRüUXVDO© IRQNVL\RQ© RODUDN© WUHY© NDYUDPODUÔ© LþOHQPLþ© VRQUD© GD© oRN© GHüLþNHQOL©IRQNVL\RQODU©LoLQ©RUWDODPD©GHüHU©WHRUHPL©7D\ORU©IRUPO© YH©\LQH©oRN©GHüLþNHQOL©IRQNVL\RQODU©LoLQ©PDNVLPXP©PLQLPXP©\DQ© NRþXOOX©PDNVLPXP©YH©PLQLPXPODUD©\HU©YHULOPLþWLU©$OWÔQFÔ©YH©\HGLQFL© E|OPOHU©oRN©NDWOÔ©LQWHJUDO©HüULVHO©LQWHJUDO©YH©RQODUÔQ©|]HOOLNOHULQH© D\UÔFD©X\JXODPDODUÔQD©VRQ©E|OP©LVH©KDV©ROPD\DQ©LQWHJUDOOHUH©D\UÔOõ PÔþWÔU©%X©NLWDS©)HQ©YH©(üLWLP©)DNOWHOHULQLQ©0DWHPDWLN©YH©ěVWDWLVWLN© %|OPOHULQGH©$QDOL]©,,,õ,9©YH©ěOHUL©$QDOL]©DGÔ©DOWÔQGD©RNXWXODQ©GHUVOHU© LoLQ©GHUV©NLWDEÔ©\LQH©EX©E|OPOHUGH©RNXWXODQ©)RQNVL\RQHO©$QDOL]©)Lõ ]LN©E|OPOHULQGH©YH©0KHQGLVOLN©)DNOWHOHULQ©GHüLþLN©E|OPOHULQGH© GHüLþLN©DGODU©DOWÔQGD©RNXWXODQ©$QDOL]©GHUVOHUL©LoLQ©\DUGÔPFÔ©GHUV©NLWDõ EÔ©RODUDN©NXOODQÔODELOLU 0DWHPDWLüLQ©KD\DWÔPÔ]Ô©]HQJLQOHþWLUHQ©LQVDQL© ELU©oDED©ROGXüXQD©LQDQDQ©DUDþWÔUPDFÔODU©|üõ UHWPHQOHU©YH©|üUHWPHQ©DGD\ODUÔ©LoLQ©|QHPOL©ELU© EDþYXUX©HVHUL¨©0DWHPDWLN©HüLWLPL©DODQÔQGD© ONHPL]GH©\D\ÔQODQPÔþ©ND\QDN©NLWDSODUÔ©GHVõ WHNOH\HQ©WDPDPOD\DQ©YH©IDUNOÔODþDQ©\|QOHUL\OH© |QHPOL©DoÔOÔPODU©VXQDQ©ELU©NLWDS©0DWHPDWLüLQ© GHüHULQL©WDNGLU©HWPHQL]L©VDüOD\DFDN©|QHPOL©ELU© ND\QDN¨$ODQÔQGD©X]PDQ©ELOLP©LQVDQODUÔQÔQ© oDEDODUÔ\OD©7UNoH\H©ND]DQGÔUÔODQ©EX©GHüHUOL© NLWDS©|üUHQFL\L©PHUNH]H©DOPDNWD©JQFHO© DUDþWÔUPD©VRQXoODUÔQÔ©\DQVÔWPDNWD©IDUNOÔ©YH©|]JQ©WHNQRORMLOHULQ©NXOODQÔPÔQÔ© |QHPVHPHNWH©YH©EDüODPD©GD\DOÔ©RODQROPD\DQ©SUREOHP©GXUXPODUÔQGDQ© KDUHNHW©HWPHNWHGLU©(VHUGH©VW©G]H\©PDWHPDWLüH©GRüUX©JHOLþLP©IHOVHIL© WHPHOOHU©YH©]HQJLQ©HWNLQOLNOHUOH©VRPXWODþWÔUÔOPDNWDGÔU©%X©NLWDS©PDWHPDWLüLQ© GDKD©L\L©|üUHQLOPHVL©YH©|üUHWLOPHVLQH©NDWNÔ©VDüOD\DFDN©YH©ELUoRN©LQVDQÔQ© |üUHQFLOLN©KD\DWÔQD©GDPJDVÔQÔ©YXUPXþ©PDWHPDWLN©NRUNXVXQXQ©VWHVLQGHQ© JHOPHN©LoLQ©HüLWLPFLOHUH©\HQL©ILNLUOHU©YHUHFHNWLU « ÷÷÷÷«««%$6,0'$1«d(9ĝ5ĝ±*g='(1«*(dĝ5ĝ/0ĝÿ«<(1ĝ«%$6,0«««««;« ««±5(1./ĝ«6$<)$«««c ĝ67$7ĝ67ĝý(«*ĝ5ĝÿ«9(«5$67*(/(«6$<,/$5/$«8<*8/$0$/$5 « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c 6HUKDW«ÿHNHU««7DKLU«dHWLQ«$NÖQFÖ ĝ/(5ĝ«0$7(0$7ĝ.«÷6FKDXP¶V %X©NLWDS©0KHQGLVOLN©)DNOWHOHUL©ěNWLVDGL©YH© ěGDUL©%LOLPOHU©)DNOWHOHUL©YH©)HQ©)DNOWHOHULQGH© RNXWXODQ©2ODVÔOÔN©YH©ěVWDWLVWLN©GHUVOHUL©LoLQ©WHPHO© ND\QDN©QLWHOLüLQGHGLU©.LWDS©OLVDQV©G]H\LQGH© WHPHO© LVWDWLVWLN© NRQXODUÔQÔ© HOH© DOGÔüÔ© JLEL© LoHULüLQGHNL©=DPDQ©6HULOHUL©$QDOL]L©5DVWJHOH© 6D\Ô©8\JXODPDODUÔ©YH©5DVWODQWÔVDO©6LPLODV\RQ© NRQXODUÔ© LOH© OLVDQVVW© DUDþWÔUPDFÔODUÔQ© GD© ID\GDODQDELOHFHüL©ELU©ND\QDNWÔU©.LWDSWD©WHõ PHO©LVWDWLVWLN©NRQXODUÔ©oRN©VD\ÔGD©|UQHNOHUOH© DQODWÔOPÔþ©D\UÔFD©ELOJLVD\DU©X\JXODPDODUÔ©LoLQ© |]HOOLNOH©0$7/$%©NXOODQÔFÔODUÔ©LoLQ©SURJUDP© 0«6SLHJHO«dHYLUL«(GLW|U«+LOPL«+DFÖVDOLKRþOX 6FKDXP´V©VHULVLQGHQ©oÔNDQ©NLWDS©ěOHUL©0DWHPDWLN© 0DWHPDWLN©6D\Ô©7HRULVL©.RPSOHNV©$QDOL]©+HVDS© 7HRULVL©YH©0DWHPDWLNWH©g]HO©.RQXODU©GHUVOHULQGH© KHP©DQD©ND\QDN©KHP©GH©\DUGÔPFÔ©ND\QDN©RODUDN© NXOODQÔODELOHFHN©RODQ©6FKDXP´V©VHULVL©ěOHUL©0DWHPDWLN© NLWDEÔ©WP©WHPHO©NRQXODUÔ©LoHUPHNWH©©WDPDPÔ\OD© o|]OPþ©SUREOHP©YHUPHQLQ©\DQÔQGD©\]OHUFH©FHYDSOÔ© HN©SUREOHPL©|üUHQFLOHULQ©NXOODQÔPÔQD©VXQPDNWDGÔU « ÷÷÷«««%$6.,««««÷«««6$<)$««c QREHO#QREHO\D\LQFRP©õ©ZZZQREHO\D\LQFRP©õ©ZZZQREHON LWDSFRP©õ©ZZZHEDELO\D\LQODULFRP MATEMATİK - İSTATİSTİK *HQHO©0DWHPDWLN©õ©7HNQLN©0DWHPDWLN©õ©ěVWDWLVWLN©õ©2ODVÔOÔN (NRQRPHWUL©õ©0DWHPDWLN©güUHWLPL SDUoDFÔNODUÔQÔQ©GD©\HU©DOGÔüÔ©ELUoRN©|UQHüH©\HU©YHULOPLþWLUěVWDWLVWLN©YH© 5DVWJHOH©6D\ÔODU©LOH©LOJLOL©\DEDQFÔ©GLOGH©oRN©VD\ÔGD©NLWDS©EXOXQPDVÔQD© NDUþÔOÔN©7UNoH©NLWDS©VD\ÔVÔ©ROGXNoD©D]GÔU©/LVDQV©YH©OLVDQVVW©|üUHQõ FLOHULQLQ©WHPHO©GHUV©NLWDEÔ©RODUDN©\DUDUODQDFDNODUÔ©NLWDEÔQ©ELOJLVD\DU© WDEDQOÔ©LVWDWLVWLNVHO©DQDOL]OHU©\DSDQ©DUDþõWÔUPDFÔODU©LoLQ©GH©|QHPOL©ELU© ND\QDN©RODFDüÔ©GþQFHVLQGH\L] ĝ67$7ĝ67ĝ. ««ĝVPDLO«7XIDQ « +$=,5/$1,<25 ĝ67$7ĝ67ĝ.6(/«$1$/ĝ=«ĝVWDWLVWLNVHO«%LOJL«.XOODQÖFÖODUÖ«ĝoLQ«(O«.LWDEÖ 0HKPHW«$«&LYHOHN«0«%DQX«'XUXNDQ ěVWDWLVWLN©LOH©LOJLOL©WP©NRQXODUÔ©WHN©NLWDSWD©WRSOD\ÔS© LVWDWLVWLüL©HWNLQ©ELU©ELoLPGH©|üUHWPH©LGGLDVÔQGD© EXOXQXODPD]©*HUoHNWH©LVWDWLVWLN©|üUHQLPL©ELU© GHIDGD©WDPDPODQDFDN©ELU©VUHo©GHüLOGLU©%X©DoÔGDQ© EDNÔOGÔüÔQGD©EX©NLWDS©LVWDWLVWLN©HüLWLPLQLQ©EDþODQJÔo© DþDPDVÔQGD©\DUDUODQÔODFDN©ELU©ND\QDNWÔU©ěVWDWLVWLNVHO© ELOJLOHULQ©ELOLQoOL©RODUDN©NXOODQÔOPDVÔQD©YH©ELOLPVHO© DUDþWÔUPD©QLWHOHPHVL©LOH©VXQXODQ©VRQXoODUÔQ©EX© QLWHOHPH\L©KDN©HGLS©HWPHGLüL©KXVXVXQGD©GRüUX© NDUDU©YHUPH©\HWHQHüLQLQ©ND]DQÔOPDVÔQD©NDWNÔGD© EXOXQPD\Ô©DPDoODPDNWDGÔU©ěVWDWLVWLN©|üUHQLPLQGH© \HWHUVL]©PDWHPDWLN©ELOJLVL©VRUXQ©\DUDWDELOLU©%X©VRUXQGDQ©NDoÔQPDN©LoLQ©NLWDSWD© \HU©DODQ©NRQXODU©OLVDQV©HüLWLPLQLQ©LON©EDVDPDNODUÔQGD©HGLQLOHQ©PDWHPDWLN©ELOJLVL© WHPHOLQGH©DoÔNODQPÔþWÔU©gWH©\DQGDQ©ELOJLVD\DU©SDNHW©SURJUDP©X\JXODPDODUÔ© NLWDSWD©NDSVDP©GÔþÔ©WXWXOPXþWXU©%XQXQ©QHGHQL©V|]©NRQXVX©SURJUDPODUÔQ© LVWDWLVWLN©DODQÔQGDNL©|QHPLQL©\DGVÔPDN©ROPD\ÔS©EX©SURJUDPODUÔQ©VHoLPL©YH© NXOODQÔPÔ©NRQXVXQGD©RNX\XFXQXQ©VHUEHVWL©GHUHFHVLQL©HWNLOHPHPH©LVWHPLGLU© %X©HO©NLWDEÔ©©E|OPGHQ©ROXþPDNWDGÔU©ěoHULüLQGH©©DOÔþWÔUPD©©QRW©YH© ©E|OP©VRQX©HNL©EXOXQPDNWDGÔU « ÷÷÷÷«««%$6.,««««÷««6$<)$«c ĝ67$7ĝ67ĝ. %OHQW«<ÖOPD] %X©GHUV©NLWDEÔ©(üLWLP©)DNOWHOHUL©)HQ©(GHEL\DW© )DNOWHOHUL©YH©0HVOHN©<NVHN©2NXOODUÔQGD©6DüOÔN© 0HVOHN©<NVHN©2NXOODUÔ©ěVWDWLVWLN©*HQHO©ěVWDWLVWLN© YH©ěVWDWLVWLüH©*LULþ©DGÔ©DOWÔQGD©RNXWXODQ©GHUVOHULQ© LoHULüL©WHPHO©DOÔQDUDN©KD]ÔUODQPÔþWÔU©%LULQFL©E|OPGH© LVWDWLVWLN©YH©JUDILN©NDYUDPODUÔ©VHULOHU©YH©IUHNDQV© HüULOHUL©]HULQGH©GXUXOPXþWXU©6RQUDNL©E|OPOHUGH© RODVÔOÔN©YH©RODVÔOÔN©IRQNVL\RQX©EHNOHQHQ©GHüHU©YH© PRPHQWOHU©GDüÔOÔPODU©NXUDPÔ©NRUHODV\RQ©YH©UHJõ UHV\RQ©JHQLþ©|UQHN©X\JXODPDODUÔ©LOH©LQFHOHQPLþWLU « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c ĝ67$7ĝ67ĝ. 0«$NLI«%DNÖU«&HODO«$\GÖQ « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c ěVWDWLVWLN©GHUVLQLQ©DQODþÔODELOPHVL©YH©HQ©HWNLQ©ELoLPõ GH©ID\GDOÔ©RODELOPHVL©LoLQ©|üUHWLOHQ©\|QWHPOHULQ© PDWHPDWLüLQLQ©YH©PDQWÔüÔQÔQ©DQODþÔODELOLU©WDU]GD© YHULOPHVLQLQ©\DQÔ©VÔUD©EX©\|QWHPOHULQ©JHUoHN©\Dõ þDPGDNL©NDUþÔOÔNODUÔ©LOH©HþOHþWLULOPHVL©JHUHNPHNWHGLU© dDOÔþPDGD©LVWDWLVWLN©WHRULVL©PDWHPDWLN©NDUPDþD\D© \RO©DoPDNVÔ]ÔQ©DQODþÔODELOLU©ELoLPGH©JHUoHN©KD\DW© ROD\ODUÔ©YH©YHULOHULQH©GD\DOÔ©SUREOHPOHU©HþOLüLQGH© DoÔNODQPÔþWÔU©.LWDS©©E|OPGHQ©ROXþPDNWDGÔU© <|QHWLP©YH©LVWDWLVWLN©WHPHO©NDYUDPODU©YHUL©WUOHUL© YH©YHUL©WRSODPD©\|QWHPOHUL©YHULOHULQ©G]HQOHQPHVL© YH©VXQXOPDVÔ©PHUNH]L©HüLOLP©|OoOHUL©GDüÔOÔP©|OoOHUL©RODVÔOÔN©NXUDPÔ© YH©WHVDGIL©GHüLþNHQOHU©WDKPLQ©WHRULVL©NRUHODV\RQ©DQDOL]L©UHJUHV\RQ© YH©WUHQG©LQGHNVOHU©NRQXODUÔQGD©ELOJL©LoHUPHNWHGLU©.LWDS©QLYHUVLWHOHULQ© ©YHYH\D©©\ÔOOÔN©SURJUDPODUÔQGD©ELU©G|QHPOLN©GHUV©NDSVDPÔQD©X\JXQ© GþHFHN©GHWD\©YH©KDFLPGH©KD]ÔUODQPÔþWÔU©+HU©QH©NDGDU©|UQHN©ROD\ODU© LþOHWPH©YH©LNWLVDW©DODQODUÔQGDQ©VHoLOPLþ©ROVD©GD©EX©SUREOHPOHULQ©GLüHU© DODQODUGDNL©|üUHQFLOHU©WDUDIÔQGDQ©GD©NROD\©DQODþÔODELOLU©ROPD©|]HOOLüL© NLWDEÔ©R©DODQODUGD©GD©NXOODQÔODELOLU©NÔOPDNWDGÔU ĝ67$7ĝ67ĝ.6(/«'(1(<«7$6$5,0, %LUGDO«ÿHQRþOX«ÿNU«$FÖWDĀ 6¯$# g'h//h 'HQH\OHULQ©WDVDUÔPÔ©YH©DQDOL]L©PKHQGLVOLN©WÔS© GRüD©ELOLPOHUL©VRV\DO©ELOLPOHU©]LUDL©ELOLPOHU©YE© DODQODUÔQGD©oDOÔþDQ©DUDþWÔUPDFÔODU©LoLQ©VRQ©GHUHFH© |QHPOLGLU©%X©QHGHQOH©GHQH\©WDVDUÔPÔQGD©NXOODõ QÔODQ©PHWRWODUÔQ©YH©EX©PHWRWODUÔQ©GD\DQGÔNODUÔ© WHPHO©LONHOHULQ©oRN©L\L©DQODþÔOPDVÔ©JHUHNLU©.LWDEÔQ© \D]ÔPÔQGDNL©WHPHO©DPDo©LVWDWLVWLNVHO©GHQH\©WDVDUÔPÔ©NRQXVXQGD©oDOÔþDQ© |üUHQFL©YH©DUDþWÔUPDFÔODUD©7UNoH©\D]ÔOPÔþ©DQODþÔOPDVÔ©YH©WDNLS©HGLOPHVL© NROD\©|UQHNOHUOH©]HQJLQOHþWLULOPLþ©ELU©ND\QDN©VXQPDNWÔU .LWDS©YDU\DQV©DQDOL]L©$129$©NRYDU\DQV©DQDOL]L©$1&29$©YH©$129$© ©$1&29$©/LQHHU©0RGHOOHU©<DNODþÔPÔ©ROPDN©]HUH©o©DQD©E|OPGHQ© ROXþPDNWDGÔU©7HRULN©DOW©\DSÔ\Ô©JoOHQGLUPHN©DGÔQD©KHU©ELU©E|OPQ© VRQXQGD©|UQHNOHU©YH©DOÔþWÔUPDODU©YHULOPLþWLU©gUQHNOHUGH©YH©DOÔþWÔUPDODUGD© NXOODQÔODQ©YHULOHU©JHUoHN©KD\DWWDQ©DOÔQPÔþ©ROPD\ÔS©±0RQWH¯&DUOR©VLPõ ODV\RQX²©\DUGÔPÔ\OD©HOGH©HGLOPLþWLU « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c ĝ67$7ĝ67ĝ.««67$7,67,&6«÷6FKDXP¶V 0«5«6SLHJHO«/«-«6WHSKHQV« dHYLUL«(GLW|UOHUL«$OSWHNLQ«(VLQ«6DOLK«dHOHELRþOX .LWDEÔQ©E|OPOHUL©YH©LoHULüL©OLVDQV©YH\D©\NVHN©OLVDQV©G]H\LQGH©±'HQH\© 7DVDUÔPÔ²©GHUVL©DODQ©|üUHQFLOHU©LOH©EX©NRQXGD©oDOÔþPD©\DSDQ©DUDþWÔUPDFÔODUD© \|QHOLN©RODUDN©WDVDUODQPÔþWÔU 6ÔQDY©6RUXODUÔ©PÔ©=RU"©'HUVOHUL©PL©.DoÔUGÔQ"© <HWHUOL©=DPDQÔQ©PÔ©<RN"©1H\VH©NL©VL]LQ©LoLQ© 6FKDXP©6HULVL©YDU ©PLO\RQGDQ©ID]OD©|üUHQFL©GHUVOHUGH©YH© VÔQDYODUGDEDþDUÔOÔ©ROPDN©LoLQ©\DUGÔPFÔ©RODUDN© 6FKDXP´D©JYHQGL6FKDXP©KHU©NRQXGD©\NVHN© EDþDUÔQÔQ©YH©GDKD©KÔ]OÔ|üUHQPHQLQ©DQDKWDUÔGÔU© +HU©NLWDSWD©EWQ©NRQX©ELOJLOHUL©NRQX\D©J|UH© NROD\©WDNLS©HGLOLU©ELU©þHNLOGH©YHULOLU©$\UÔFD©\]õ OHUFH©|UQHN©o|]PO©SUREOHP©YH©X\JXODPDOÔ© DOÔþWÔUPD©GD©HGLQLUVLQL]©%X©6FKDXP©NLWDEÔ ©ěVWDWLVWLN©GHUVOHULQH©\|QHOLN©GHUV©NLWDSODUÔ©LoLQ©|QHPOL©ELU©\DUGÔPFÔ©ND\QDNWÔU ©´GHQ©ID]OD©WDPDPÔ©o|]PO©SUREOHP©LOH ©©DGHW©HN©SUDWLN©SUREOHPL©NDSVDPDNWDGÔU©'HUV©QRWODUÔQÔ]OD©WDPDPHQ© X\XPOXGXU©ELOPHQL]©JHUHNHQ©WP©|QHPOL©JHUoHNOHUL©YXUJXODU©dDOÔþPD©VUHõ QL]L©NÔVDOWPDN©YH©VÔQDYODUGD©\NVHN©SXDQ©DOPDN©LoLQ©6FKDXP©6HULVL©NXOODQÔQ « ÷÷÷÷«««%$6,0««««;«««6$<)$«««c ĝ67$7ĝ67ĝ.6(/«.$/ĝ7(«.21752/ ÿDQVOÖ«ÿHQRO ěoLQGH©EXOXQGXüXPX]©\]\ÔOGD©NUHVHO©GHQJHOHU© J|]©|QQH©DOÔQGÔüÔQGD©ELOJL©JQP]Q©HQ© GHüHUOL©ROJXVX©ROPXþWXU©%X©GHüLþHQ©G]HQH© NÔVD©VUHGH©D\DN©X\GXUDELOHQ©YH©ELOJL\L©HOLQGH© WXWDELOHQ©LþOHWPHOHU©HQ©L\L©\HUOHUH©JHOHELOPHNõ WHGLUOHU©%X©QHGHQOH©LþOHWPHOHU©VUHNOL©GHüLþõ NHQOLN©J|VWHUHQ©UHNDEHW©RUWDPÔQGD©JHOHFHüL© J|UHELOPHN©EXQD©J|UH©SODQ©\DSDELOPHN©YH© \DUDWÔFÔOÔüÔ© HQ© VW© VHYL\HGH© WXWDELOPHN© LoLQ© NDOLWH©õ©YHULPOLOLN©LNLOLVLQH©GD\DOÔ©ELU©\DNODþÔPD© « ÷÷÷÷«««%$6.,'$1«d(9ĝ5ĝ««««÷«««6$<)$««c QREHO#QREHO\D\LQFRP©õ©ZZZQREHO\D\LQFRP©õ©ZZZQREHON LWDSFRP©õ©ZZZHEDELO\D\LQODULFRP MATEMATİK - İSTATİSTİK *HQHO©0DWHPDWLN©õ©7HNQLN©0DWHPDWLN©õ©ěVWDWLVWLN©õ©2ODVÔOÔN (NRQRPHWUL©õ©0DWHPDWLN©güUHWLPL EDþYXUPDN© ]RUXQGDGÔUODU© dQN© NDOLWH\L© JHOLþWLUPHN© LoLQ© HüLWLPOH© VDüODQDQ©ELOLPVHO©\DNODþÔP©YH©VW©\|QHWLPLQ©OLGHUOLüLQGH©LVWDWLVWLNVHO© \|QWHPOHUL©NXOODQDQ©HNLS©oDOÔþPDVÔ©JHUHNLU©ěVWDWLVWLN©ELOLPL©EXOXþODUÔ© LOH©\HQL©DUDþWÔUPDODU©YH©\HQL©\|QWHPOHUOH©WHNQRORMLN©JHOLþPHOHUH©oRN© |QHPOL©NDWNÔODUGD©EXOXQXU©9HULOHUGHQ©ELOJLQLQ©NXOODQÔPÔ©LOH©VUHNOL© JHOLþLU© 9H© GLüHU© ELOLPOHUGH© LOHUOHWPH© þHNOLQGHNL© EDNÔþ© DoÔVÔ© LOH© WP© ELOLP©DODQODUÔQD©X\JXODQDELOHQ©GLVLSOLQOHU©DUDVÔ©ELU©ELOLP©GDOÔGÔU©%X© QHGHQOH©LVWDWLVWLN©OLVDQV©HüLWLPL©HüLWLP©YH©HQGVWULGH©UQKL]PHWõ OHULQ©NDOLWHVLQLQ©L\LOHþWLULOPHVLQLQ©ELU©\ROX©RODQ©LVWDWLVWLNVHO©GþQPH© ]HULQH©RGDNODQPÔþWÔU©ěVWDWLVWLN©OLVDQV©HüLWLPL©VÔUDVÔQGD©RNXWXODQ©EX© NLWDSWD©LþOHWPHOHUGH©UHWLP©DþDPDVÔQGD©NXOODQÔODQ©WHPHO©LVWDWLVWLNVHO© \|QWHPOHU©NDSVDPOÔ©ELU©ELoLPGH©LQFHOHQPLþWLU©.LWDEÔQ©©E|OPQGH© NDOLWH©YH©NDOLWH©NRQWURO©LOH©LOJLOL©JHQHO©ELOJLOHU©YHULOPLþWLU©©õ©©E|õ OPOHUGH©LVH©LVWDWLVWLNVHO©NDOLWH©NRQWURO©LoLQGH©\HU©DODQ©UHWLP©VUHFL© LOH©LOJLOL©JLULþ©VUHo©YH©oÔNÔþ©NRQWUROOHUL©LOH©LOJLOL©LVWDWLVWLNVHO©\|QWHPOHU© GHWD\OÔ©ELU©ELoLPGH©LQFHOHQPLþWLU©.LWDEÔQ©©E|OPQGH©LVH©UQ©YH© VUHo©WDVDUÔPÔQGD©NXOODQÔODQ©JQFHO©LVWDWLVWLNVHO©\|QWHPOHU©NLWDEÔQ© VRQ©E|OPQGH©LVH©oDüGDþ©LþOHWPH©\|QHWLPLQGH©YH©SD]DUODPD©DUDþõ WÔUPDODUÔQGD©NXOODQÔODQ©GLüHU©LVWDWLVWLNVHO©\|QWHPOHU©|]HW©RODUDN©HOH© DOÔQPÔþWÔU©%X©NLWDEÔ©\D]PDPGDNL©DPDo©LVH©KDOHQ©|üUHQFL©RODQ©DQFDN© JHOHFHNWH©LþOHWPHOHUGH©ROGXüX©NDGDU©GLüHU©ELOLP©DODQODUÔQGD©\DþDP© WÔS©WHNQLN©YH©HüLWLP©LVWDWLVWLNoL©RODUDN©oDOÔþDFDN©RODQ©|üUHQFLOHULPLQ© LVWDWLVWLN©ELOLPLQL©NXOODQDUDN©|QHPOL©IDUNOÔOÔNODU© \DUDWDELOPHVLQH©NDWõ NÔGD©EXOXQDELOPHNWLU©%|\OHFH©LVWDWLVWLNoLOHULQ©ONH©RODUDN©VD\ÔODUGDQ© NRUNPD\DQ©\DþDPÔQ©RODVÔOÔNODUD©EDüOÔ©ROGXüXQX©ELOHQ©YH©JHOHFHüLQL© ELOJL\H© GD\DQGÔUDQ© JHOLþPLþ© WRSOXPODUÔQ© \DQÔQGD© \HU© DODELOPHVLQH© NDWNÔGD©EXOXQPDODUÔQÔ©VDüODPÔþ©RODFDüÔPÔ©PLW©HGL\RUXP ĝÿ«(.2120ĝ«9(«626<$/«%ĝ/ĝ0/(5«ĝdĝ1«0$7(0$7ĝ.«÷6FKDXP¶V («'RZOLQJ« dHYLUL«(GLW|U«+LOPL«+DFÖVDOLKRþOX <D\ÔQODUÔPÔ]©DUDVÔQGDNL©6FKDXP©6HULVL©LoLQGH© \HU©DODQ©EX©NLWDS©KHU©RNXOGD©JHUHN©GX\XODQ© YH©Lþ©HNRQRPL©VRV\DO©ELOLPOHUGH©JQP]Q© DUDþWÔUPDFÔ©|üUHQFLOHUL©LoLQ©WHPHO©ELU©GHUV© RODQ© ±+HVDSODPD\D© *LULþ²© GHUVLQLQ© WHPHO© NRQXODUÔQÔ©NDSVDPDNWDGÔU©dDOÔþPD©|üUHQõ FLOHULQ©GLIHUHQVL\HO©YH©LQWHJUDO©KHVDSODUÔQÔQ© WHPHO©NRQXODUÔQD©YH©|]HOOLNOH©GHüLþLN©GLVLSõ OLQOHUGHNL©WHRUL©YH©SUREOHP©o|]PH©WHNQLNOHUL© LOH© LOJLOL© RODQ© NLþLOHUH© \DUGÔPFÔ© RODFDN© ELU© \DSÔGD©WDVDUODQPÔþWÔU©.LWDS©WHPHO©FHELULQ© WHNUDUÔ©LOH©EDþODPDNWD©YH©E|OPOHU©LoLQ©JHUHNOL©NDYUDP©YH©WHNQLNOHULQ© DoÔNODPDODUÔ©LOH©GHYDP©HWPHNWHGLU « ÷÷÷«««%$6.,««««÷«««6$<)$««c ĝÿ/(70(«ĝ67$7ĝ67ĝýĝ1ĝ1«7(0(//(5ĝ««(VVHQWLDOV«2I«%XVLQHVV« 6WDWLVWLFV %UXFH«/«%RZHUPDQ«5LFKDUG«7«2¶&RQQHOO« (PLO\«6«0XUSKUHH«-DPHV«%«2UULV dHYLUL«(GLW|UOHUL«1H\UDQ«2UKXQELOJH«0XVWDID«&DQ« ÿHEQHP«(U ±ěþOHWPH©ěVWDWLVWLüLQLQ©7HPHOOHUL²©EDþOÔNOÔ© LVWDWLVWLN©NLWDEÔ©LþOHWPHFLOLNWH©NXOODQÔODQ© WHPHO©LVWDWLVWLN©\|QWHPOHULQ©oRN©|QHPOL©ELU© NÔVPÔQÔ©NDSVDPDNWDGÔU©%LUL©LQWHUQHW©VLWHVLQGH© ROPDN©]HUH©WRSODP©©E|OPGHQ©ROXþDQ© EX©NLWDSWD©LVWDWLVWLN©\|QWHPOHU©D\UÔQWÔOÔ©RODõ UDN©DQODWÔOPDNWD©YH©0,1,7$%©0HJD6WDW©YH© ([FHO©SURJUDPODUÔ©LOH©X\JXODPDOÔ©|UQHNOHUH© \HU©YHULOPHNWHGLU©ěþOHWPHFLOLNWH©oRN©\D\JÔQ© RODUDN©NXOODQÔOPDVÔ©JHUHNHQ©LVWDWLVWLN©WDKPLQ© YH©NDUDU©YHUPH©WHNQLNOHUL©HOH©DOÔQGÔNWDQ©VRQUD©LþOHWPH©SUREOHPOHULQH© X\JXODQÔþÔ©DGÔ©JHoHQ©EX©o©SURJUDP©\DUGÔPÔ\OD©JHUoHNOHþWLULOPHNWHGLU© d|]PO©|UQHNOHUH©GH©\HU©YHULOHQ©NLWDSWD©|üUHQFLOHULQ©EX©NRQXODUGD© ELOJL©VDKLEL©ROPDVÔ©NROD\ODþWÔUÔOPDNWDGÔU©.LWDSWD©HOH©DOÔQDQ©\|QWHPOHU© VDGHFH©LþOHWPHFLOLN©DODQÔQGD©GHüLO©HNRQRPL©JLEL©GLüHU©VRV\DO©ELOLPõ OHUGH©IHQ©ELOLPOHULQGH©YH©WHNQLN©ELOLPOHUGH©GH©NXOODQÔODQ©\|QWHPOHU© ROGXüX©LoLQ©EX©DODQODUGDNL©|üUHQFLOHUH©YH©DUDþWÔUPDFÔODUD©GD©\DUGÔPFÔ© RODFDN©ELU©|]HOOLN©WDþÔPDNWDGÔU « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c ĝ67$7ĝ67ĝ.6(/«.$/ĝ7(«.21752/h %XUDN«%LUJ|UHQ dRN©NXOODQGÔüÔQÔ]©ELU©UQ©KD\DO©HGLQ©YH© VRQUD©VL]LQ©DoÔQÔ]GDQ©R©UQQ©NDOLWHVLQL© EHOLUOH\HQ©HQ©|QHPOL©|]HOOLüLQL©GþQQ© gUQHüLQ©EX©ELU©FHS©WHOHIRQX©LoLQ©SLOLQ©|PU© RODELOLU© 3HNL© VL]H© D\QÔ© PDUND© YH© PRGHO© UQH© NRQDQ© RULMLQDO© SLOOHULQ© KLoELULQLQ© ELUELULQLQ©WÔSDWÔS©D\QÔVÔ©ROPDGÔüÔ©V|\OHQVH© KDWWD©þDQVÔ]VDQÔ]©|PU©NÔVD©ELU©SLOH©GHQN© JHOHFHüLQL]©YH©GROD\ÔVÔ\OD©õ©D\©JLEL©ELU© VUH© NXOODQÔPGDQ© VRQUD© SLOLQ© |PUQQ© ELWHFHüL©V|\OHQVH©QH©GHUVLQL]"© hUHWLFL©ILUPDODUÔQ©þDQVÔ]©PþWHULOHUH©\DSDõ FDNODUÔ©LON©DoÔNODPD©JHQHOOLNOH©EX©GXUXPXQ© \DQOÔþ©\D©GD©\RüXQ©NXOODQÔPGDQ©ND\QDNODQGÔüÔ©\|QQGHGLU©$QFDN©VL]H© ELU©VÔU©YHUHOLP©7DPDPHQ©D\QÔ©NRþXOODUGD©NXOODQÔODQ©SLOOHULQ©|PUOHUL© DUDVÔQGD©GD©FLGGL©IDUNOÔOÔNODU©RUWD\D©oÔNDELOLU©%X©WU©IDUNOÔOÔNODU©EH\D]© Hþ\D© HOHNWURQLN© Hþ\D© RWRPRELO© JLEL© oRN© oHþLWOL© UQOHUGH© YH© EX© UQOHULQ© oRN© oHþLWOL© |]HOOLNOHULQGH© NDUþÔPÔ]D© oÔNDU© $\QÔ© PRGHO© LNL© RWRPRELOLQ©PRWRU©VHV©\DOÔWÔPÔQÔQ©D\QÔ©G]H\GH©ROPDPDVÔ©D\QÔ©PRõ GHO©LNL©EXODþÔN©PDNLQHVLQGHQ©ELULQLQ©GüPHVLQLQ©NROD\©GLüHULQLQ©]RU© oHYULOPHVL©JLEL©$\UÔFD©ELU©WHGDULNoLGHQ©KDPPDGGH©\D©GD©\DUÔ©PDPXO© DODQ©ELU©ILUPD©LoLQ©GH©D\QÔ©VÔNÔQWÔODU©JHoHUOLGLU©%X©IDUNOÔOÔNODU©UQOHULQ© WDP©WDVDUODQGÔNODUÔ©JLEL©UHWLOHPHPHVLQGHQ©ND\QDNODQÔU©%X©GD©FLGGL© PþWHUL©PHPQXQL\HWVL]OLüLQH©YH©PþWHUL©ND\EÔQD©\RO©DoDU©%X©QHGHQOH© WP©VHNW|UOHUGH©WDVDUÔPD©GDKD©X\JXQ©UHWLP©\DSPDN©LoLQ©VLVWHPOL© oDOÔþPDODU©\DSÔOPDNWDGÔU « «÷÷÷÷«««%$6,0'$1«d(9ĝ5ĝ««««÷«««6$<)$««5(1./ĝ«.8ÿ(«««c ĝÿ/(70(«0$7(0$7ĝýĝ <ÖOPD]«7XOXQD\ .LWDEÔQ©LON©E|OPOHULQGH©VRQUDNL©E|OPOHUGH© LþOHQHQ©NRQXODUÔQ©WHPHO©|üUHWLVL©QLWHOLüLQL© WDþÔ\DQ© OLQHHU© FHELU© HOH© DOÔQPÔþWÔU© %XQX© WUDQVSRUWDV\RQ©NRQXODUÔ©L]OHPLþWLU©%XQODUD© HN©RODUDN©EHONL©GH©LON©NH]©SURMH©\|QHWLPL© ROJXVXQXQ© LþOHWPHFLOLNWHNL© |QHPOL© \HUL© J|]© |QQH© DOÔQDUDN© EX© NRQXQXQ© WHPHO© |üUHWLVL©RODQ©oL]JH©WHRULVL©LþOHWPH©PDWHõ PDWLüLQLQ©ELU©NRQXVX©RODUDN©HOH©DOÔQPÔþWÔU© .LWDEÔQ©SURJUDPÔQD©LNLQFL©ELU©LON©GH©)DUN© GHQNOHPOHUL©GH©LþOHWPH©PDWHPDWLüLQLQ©ELU© NRQXVX©RODUDN©HOH©DOÔQPÔþWÔU©%X©HNOHPHOHU© ELOLPVHO©JHOLþPHQLQ©JHUoHNOHþHELOPHVL©LoLQ© SURJUDPODUÔQ©GLQDPLN©ROPDVÔ©]RUXQOXOXüX©J|]©|QQGH©EXOXQGXUXODUDN© \DSÔOPÔþWÔU©%X©ELoLPL\OH©NLWDS©LþOHWPH©YHYH\D©LNWLVDW©IDNOWHOHULQLQ© ěþOHWPH© 0DWHPDWLüL© GHUV© NLWDEÔ© JHUHNVLQLPLQH© FHYDS© YHULUNHQ© Lþ© KD\DWÔQD©GD©EX©DOW©\DSÔQÔQ©ROXþWXUXOPDVÔ©YH\D©ELOJLOHULQ©\HQLOHQPHVL© DoÔVÔQGDQ©\DUDUOÔ©RODFDNWÔU %X©DPDoOD©\DSÔODQ©WP©oDOÔþPDODU©LVWDWLVWLNVHO©NDOLWH©NRQWURO©DODQÔQD© JLUHU©%X©oDOÔþPDODUÔQ©DQD©NRQXODUÔ©UQ©|]HOOLNOHULQLQ©WHNQLN©WDELUL\OH© NDOLWH©NDUDNWHULVWLNOHULQLQ©|OoP©|OoPOHULQ©LVWDWLVWLNVHO©RODUDN©PRõ GHOOHQPHVL©DQDOL]©HGLOPHVL©YH©EXQODUÔQ©VRQXFXQGD©WDVDUÔPD©X\JXQõ VX]OXüXQ©QHGHQOHULQLQ©NHþIHGLOPHVL©YH©JLGHULOPHVLGLU©%X©oDOÔþPDODUÔQ© JQP]GH©ED]HQ©WRSODP©NDOLWH©\|QHWLPL©ED]HQ©,62©©ED]HQ©GH© DOWÔ©VLJPD©X\JXODPDODUÔ©þHNOLQGH©JHUoHNOHþWLULOGLüLQL©J|UU]©.LWDSWD© EX©IDUNOÔ©NDOLWH©\|QHWLP©\DNODþÔPODUÔ©HOH©DOÔQGÔNWDQ©VRQUD©LVWDWLVWLNVHO© NDOLWH©NRQWURO©LoLQ©NXOODQÔODQ©\|QWHPOHU©oHþLWOL©VDQD\L©X\JXODPDODUÔ\OD© DoÔNODQPDNWDGÔU « ÷÷÷«««%$6.,««««÷«««6$<)$««c « ÷÷÷÷«««%$6.,«««««;««««6$<)$«««c QREHO#QREHO\D\LQFRP©õ©ZZZQREHO\D\LQFRP©õ©ZZZQREHON LWDSFRP©õ©ZZZHEDELO\D\LQODULFRP MATEMATİK - İSTATİSTİK *HQHO©0DWHPDWLN©õ©7HNQLN©0DWHPDWLN©õ©ěVWDWLVWLN©õ©2ODVÔOÔN (NRQRPHWUL©õ©0DWHPDWLN©güUHWLPL ĝÿ/(70(«9(«ĝ.7ĝ6$7«ĝdĝ1«0$7(0$7ĝ.6(/«<g17(0/(5«6FKDXP¶V .,60ĝ«'ĝ)(5(16ĝ<(/«'(1./(0/(5«÷6FKDXP¶V («7«'RZOLQJ«dHYLUHQOHU«gPHU«)DUXN«dRODN«0XUDW« <ÖOGÖUÖPRþOX 3«'XFKDWHX«'«=DFKPDQQ«dHYLUL«(GLW|U«+LOPL« +DFÖVDOLKRþOX %X©NLWDS©LþOHWPH©YH©HNRQRPL©DODQODUÔQGD©|üUHõ QLP©J|UHQ©|üUHQFLOHULQ©GHUVOHULQLQ©\RüXQOXüX© QHGHQL\OH©ELUGHQ©ID]OD©PDWHPDWLN©GHUVLQL© DODPDPDODUÔQGDQ©GRüDQ©DoÔüÔ©NDSDPDN©YH© JQP]Q©LþOHWPH©YH©HNRQRPL©DODQODUÔQGD© JHUHNHQ©DUDoODUÔ©WHNQLNOHUL©NRQXODUÔ©DoÔNODPDN© ]HUH©WDVDUODQPÔþWÔU©.LWDSWD©D\UÔQWÔOÔ©RODUDN© o|]OPþ©©SUREOHP©EXOXQPDNWDGÔU©dDõ OÔþPDGDQ©PPNQ©ROGXüXQFD©ID]OD©G]H\GH© \DUDUODQDELOPHN©LoLQ©|üUHQFLQLQ©HQ©NÔVD©]DPDQõ GD©o|]POHUH©NHQGL©EDþÔQD©XODþPD\D©oDOÔþPDVÔ© JHUHNLU©)DUNOÔ©HüLWLP©G]H\L©YH©\HWHQHüLQH©VDKLS©|üUHQFLOHULQ©NLWDED©NRQX© RODQ©ELOJLOHUL©X\JXODQDQ©IRUPDWWD©DOPDODUÔQÔQ©\DUDUOÔ©ROGXüX©GHQH\LPOHU© VRQXFXQGD©NDQÔWODQPÔþWÔU 6ÔQDY©6RUXODUÔ©=RU©PX©*HOL\RU"©'HUVOHUL©PL©.DoÔUõ GÔQÔ]"©=DPDQÔQÔ]©PÔ©<RN"©d|]PO©6RUXODU©PÔ© $UÔ\RUVXQX]"1H\VH©NL©VL]LQ©LoLQ©6FKDXP©6HULVL© YDU©PLO\RQGDQ©ID]OD©|üUHQFL©GHUVOHUGH©YH© VÔQDYODUGD©EDþDUÔOÔ©ROPDN©LoLQ©\DUGÔPFÔ©RODUDN© 6FKDXP´D©JYHQGL©6FKDXP©KHU©NRQXGD©\NVHN© EDþDUÔQÔQ©YH©GDKD©KÔ]OÔ©|üUHQPHQLQ©DQDKWDUÔGÔU© +HU©NLWDSWD©EWQ©NRQX©ELOJLOHUL©NRQX\D©J|UH© NROD\©WDNLS©HGLOLU©ELU©þHNLOGH©YHULOLU©$\UÔFD©\]õ OHUFH©|UQHN©o|]PO©SUREOHP©YH©X\JXODPDOÔ© DOÔþWÔUPD©GD©HGLQLUVLQL]©%X©6FKDXP©NLWDEÔ©VL]H ©©DGHW©WDPDPÔ©o|]PO©SUREOHP ©7P©WHPHO©NRQXODUÔQ©WDPDPÔQÔ©J|]GHQ©JHoLUPH©IÔUVDWÔ ©%LULQFL©EDVDPDNWDQ©LNLQFL©EDVDPDNWDQ©YH©Q©LQFL©EDVDPDNWDQ « ÷÷÷««*g='(1«*(dĝ5ĝ/0ĝÿ«<(1ĝ«%$6,0««««÷«««6$<)$««c GLIHUDQVL\HO©GHQNOHP©NRQXODUÔ\OD©LOJLOL©NDSVDPOÔ©ELOJL©YHULU .$50$ÿ$1,1«%ĝ/ĝ0ĝ«.$26 'HUV©QRWODUÔQÔ]OD©WDPDPHQ©X\XPOXGXU©ELOPHQL]©JHUHNHQ©WP©|QHPOL© JHUoHNOHUL©YXUJXODU©dDOÔþPD©VUHQL]L©NÔVDOWPDN©YH©VÔQDYODUGD©\NVHN©SXDQ© DOPDN©LoLQ©6FKDXP©6HULVL©NXOODQÔQ (URO«.XUW«5HĀDW«.DVDS 'RüDQÔQ©YH©ELOLPLQ©NDUPDþÔN©\]Q©þHNLOOHQGLUHQ© GRüUXVDOõROPD\DQ©YH©NDRWLN©ROD\ODUÔQ©GLVLSOLQõ OHUDUDVÔ©ELU©DQOD\ÔþOD©DQODWÔOGÔüÔ©EX©NLWDSWD©ELOLP© LQVDQODUÔQÔQ©GRüDQÔQ©HQ©NDUPDþÔN©VUHoOHULQL© LUGHOHPHOHUL©LoLQ©QH©JLEL©PHWRWODU©YH©oDOÔþPDODU© \DSWÔüÔ©HOH©DOÔQPÔþWÔU©'RüUXVDOõROPD\DQ©VLVWHPOHU© YH©NDRV©DODQÔQGD©KHP©DNDGHPLN©KHP©GH©SRSOHU© ELOLP©EDNÔþ©DoÔVÔ\OD©NDOHPH©DOÔQPÔþ©EX©HVHU©GLQDõ PLN©ELOLPLQLQ©JHOGLüL©VRQ©QRNWD\Ô©J|]OHU©|QQH© VHUPHNWHGLU©0KHQGLVOLN©IL]LN©NLP\D©PDWHPDWLN© EL\RORML©LVWDWLVWLN©JLEL©IDUNOÔ©DODQODUGD©o|]P© DUDQPDVÔQD©UDüPHQ©JHQHOOLNOH©oRN©GLVLSOLQOL©ELU© \DNODþÔPOD©o|]P©PPNQ©RODQ©NDRWLN©ROD\õ ODUÔQ©DQODþÔOPDVÔQGD©NXOODQÔODQ©NDYUDPODUÔQ©PRGHOOHULQ©YH©WHULPOHULQ©KHP© GHQH\VHO©KHP©WHRULN©\DQODUÔ©JHQLþ©ELU©SHUVSHNWLIWH©DQODWÔOPÔþWÔU©%X©HVHUGH© VRQ©\ÔOODUGD©VÔNoD©GX\DJHOGLüLPL]©NDRV©ELOLP©GDOÔQÔQ©QH\L©NRQX©DOGÔüÔ©QH©LþH© \DUDGÔüÔ©YH©WHPHOGH©QH©WUGHQ©VRUXQODUÔPÔ]Ô©o|]Gü©EHþ©E|OP©KDOLQGH©HOH© DOÔQPDNWDGÔU©.DRWLN©GLQDPLüLQ©WHRULN©YH©GHQH\VHO©WHPHOOHUL©\DQÔQGD©IHOVHIL© JHWLULOHULQLQ©GH©WDUWÔþÔOGÔüÔ©SRSOHU©ELOLP©WDU]ÔQGDNL©EX©HVHUL©RNX\XFX©NHQGL© DPDFÔQD©X\JXQ©RODUDN©OLVDQV©YH©OLVDQV©VW©G]H\GH©ND\QDN©\D©GD©GHUV©NLWDEÔ© QLWHOLüLQGH©GH©NXOODQDELOLU©%X©NLWDEÔQ©\XUGXPX]GD©NDRV©]HULQH©\D]ÔOPÔþ© EXOXQDQ©GLüHU©NLWDSODUGDQ©HQ©|QHPOL©IDUNÔ©oHYLUL©ROPDPDVÔ©OLWHUDWU©ELOJLVL© \DQÔQGD©\D]DUODUÔQ©EX©DODQGDNL©|]JQ©DNDGHPLN©oDOÔþPDODUÔQÔ©GD©LoHUPHVLGLU « ÷÷÷«««%$6.,««««÷«««6$<)$««c .,60ĝ«7h5(9/ĝ«'ĝ)(5$16ĝ<(/«'(1./(0/(5«.ĝ7$%, %DKDGGLQ«6LQVR\VDO « +$=,5/$1,<25 .ĝ0<$«0h+(1'ĝ6/ĝýĝ1'(«7(0(/«ĝ/.(/(5«9(«+(6$3/$0$/$5« %DVLF«3U,QFLSOHV«DQG«&DOFXODW,RQV«,Q«&KHPLFDO«(QJLQHHULQJ 'DYLG«0«+LPPHOEODX«÷«-DPHV«%«5LJJV dHYLUL«(GLW|U«)HUGD«0XWOX %X©NLWDS©NLP\D©PKHQGLVOLüL©DODQÔQGD©ROGXüX© NDGDU©EL\RORML©SHWURO©YH©oHYUH©PKHQGLVOLüL© DODQODUÔQGD©NXOODQÔODQ©LONHOHUH©YH©WHNQLNOHUH©GH© ELU©JLULþ©RODUDN©KL]PHW©HWPH\L©DPDoODPDNWDGÔU© %XQXQOD©ELUOLNWH©NLP\D©PKHQGLVOLüL©X]PDQOÔN© DODQÔQD©JLUGLüL©VD\ÔODQ©NRQXODUÔQ©DUDOÔüÔ©VRQ©\LUPL© \ÔOGD©JHQLþOHPHVLQH©UDüPHQ©EX©oDOÔþPD©DODQÔQÔQ© WHPHO©LONHOHUL©D\QÔ©NDOPÔþWÔU©%X©NLWDS©NLP\D© PKHQGLVOLüLQLQ©EDþDUÔOÔ©OLVDQV©YH©OLVDQVVW© oDOÔþPDODUÔQÔQ©\DQÔ©VÔUD©NLP\D©PKHQGLVOLüLQLQ© PHVOHNL©X\JXODPDODUÔ©LoLQ©JHUHNOL©RODQ©|]JQ© ELOJL©YH©EHFHULOHULQ©WHPHO©\DSÔVÔQÔ©VXQDU©$\UÔFD©NDODQ©NLP\D©PKHQGLVOLüL© VÔQÔIODUÔQÔ]©EX©GHUVWH©JHOLþWLULOHFHN©PDGGH©YH©HQHUML©GHQNOLNOHULQLQ©X\JXODPDõ ODUÔQGD©ROGXüX©NDGDU©VR\XW©VRUXQODUÔ©o|]PH©\HWHQHüLQL]H©JYHQL\RU©RODFDNWÔU© .LP\D©PKHQGLVOLüL©DODQÔQGDNL©oDOÔþPDODUÔ©PDGGH©YH©HQHUML©GHQNOLNOHUL©LOH© ELU©DüDFÔQ©J|YGHVL©JLEL©J|UHELOLUVLQL]©YH©WHUPRGLQDPLN©DNÔþNDQODUÔQ©DNÔþÔ©ÔVÔ© DNWDUÔPÔ©NWOH©DNWDUÔPÔ©WHSNLPH©NLQHWLüL©VUHo©GHQHWLPL©YH©VUHo©WDVDUÔPÔ© NRQXODUÔ©EX©DüDFÔQ©GDOODUÔQÔ©ROXþWXUXU©%X©DoÔGDQ©EDNÔOGÔüÔQGD©L]OHQHFHN© PDO]HPHQLQ©WDþÔGÔüÔ©|QHPL©DQODPDN©NROD\ODþÔU « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c .DYUDPVDO«<RUXPODU«YH«8\JXODPDODUOD«2/$6,/,.«7(25ĝ6ĝ «$ODGGLQ«ÿDPLORY ěVWDWLVWLN©%|OP©|üUHQFLOHUL©LoLQ©KD]ÔUODQPÔþ©RODQ© ±.DYUDPVDO©<RUXPODU©YH©8\JXODPDODUOD©2ODVÔOÔN© 7HRULVL²©NLWDEÔQÔQ©WHPHOL©YHUPLþ©ROGXüXP©2ODVÔOÔN© ,©YH©2ODVÔOÔN©,,©GHUVOHULQLQ©QRWODUÔQGDQ©ROXþPDNWDõ GÔU©'HUV©QRWODUÔQÔQ©NLWDS©KDOLQH©G|QþWUOPHVL© VUHFLQGH©NLWDSWDQ©GDKD©JHQLþ©RNX\XFX©NLWOHVLQLQ© \DUDUODQPDVÔ©DPDFÔ\OD©LODYH©E|OPOHU©GH©HNOHQPLþWLU© .LWDSWD©2ODVÔOÔN©7HRULVL´QLQ©WHPHO©NDYUDPODUÔ©YH© ROJXODUÔ©PHYFXW©ND\QDNODUD©QD]DUDQ©GDKD©D\UÔQWÔOÔ© ELU©þHNLOGH©JHUHNHQ©NDYUDPVDO©\RUXPODU©YH©X\JXõ ODPDODU©LOH©VXQXOPXþWXU©.LWDS©oHþLWOL©NRQXODUD©GDLU© oRN©VD\ÔGD©o|]PO©SUREOHPOHU©YH©NLWDSWDQ©\DUDUODQDQÔQ©NHQGLQL©JHUHNHQ© GRüUXOWXGD©VHUEHVW©JHOLþWLUHELOPHVL©LoLQ©DOÔþWÔUPD©QLWHOLNOL©EHQ]HU©SUREOHPOHUOH© GRQDWÔOPÔþWÔU©.DUDNWHULVWLN©)RQNVL\RQODU©7HRULVL©YH©LVWDWLVWLNVHO©X\JXODPDODUÔ© (QWURSL©YH©ěQIRUPDV\RQ©E|OPOHUL©GH©VXQXODQ©NRQXODU©DUDVÔQGD©\HU©DOPDNWDGÔU© .LWDSWDQ©LVWDWLVWLN©PDWHPDWLN©IL]LN©PKHQGLVOLN©YH©GLüHU©E|OPOHULQ©OLVDQV© \NVHN©OLVDQV©GRNWRUD©|üUHQFLOHULoHþLWOL©ELOLP©GDOODUÔQGD©oDOÔþDQ©DUDþWÔUPDFÔODU© YH©NHQGL©XINXQX©JHQLþOHWPHN©LVWHüLQH©VDKLS©KHUNHV©\DUDUODQDELOLU « ÷÷÷÷«««%$6.,'$1«d(9ĝ5ĝ««««÷«««6$<)$««&'«ĝ/$9(/ĝ«c .ĝ0<$&,/$5«ĝdĝ1«8<*8/$0$/,«0$7(0$7ĝ. «-DPHV«5«%DUUDQWH«dHYLUL«(GLW|U«=HNL«%\N÷ PXPFX .LP\DFÔODU© LoLQ© 8\JXODPDOÔ© 0DWHPDWLN© WHUPRGLQDPLN©DWRPLN©YH©PROHNOHU©\DSÔ© VSHNWURVNRSL©YH©LVWDWLVWLN©PHNDQLN©NRQXõ ODUÔQÔ©DQODPDN©LoLQ©JHUHNOL©RODQ©PDWHPDWLN© NRQXODUÔQÔ©|üUHQPHN©YH©\HQLGHQ©J|]GHQ© JHoLUPHN©LVWH\HQ©|üUHQFLOHU©LoLQ©PNHPPHO© ELU©ND\QDNWÔU©%WQ©NLP\D©GHUV©NLWDSODUÔQD© \|QHOLN© WDVDUODQDQ© EX© NLWDS© GHUVLQGH© EDþDUÔOÔ© ROPDN© LVWH\HQ© EXJQQ© NLP\D© |üUHQFLVLQH©\DUGÔPFÔ©RODFDNWÔU©%X©NLWDSWD© |]HOOLNOH©GLNNDWH©GHüHU©NRQXODU©.RRUGLQDW© « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c QREHO#QREHO\D\LQFRP©õ©ZZZQREHO\D\LQFRP©õ©ZZZQREHON LWDSFRP©õ©ZZZHEDELO\D\LQODULFRP MATEMATİK - İSTATİSTİK *HQHO©0DWHPDWLN©õ©7HNQLN©0DWHPDWLN©õ©ěVWDWLVWLN©õ©2ODVÔOÔN (NRQRPHWUL©õ©0DWHPDWLN©güUHWLPL VLVWHPOHUL©IRQNVL\RQODU©YH©JUDILNOHU©YH©ORJDULWPD©NXOODQÔPÔQÔ©LþOH\HQ© JLULþ©E|OPOHUL©'LIHUDQVL\HO©YH©LQWHJUDO©KHVDSODPD©NRQXVXQGD©E|OPOHU© +DWD©DQDOL]L©KDWDODUÔQ©\D\ÔOPDVÔ©GRüUXVDO©UHJUHV\RQ©KHVDSODPDODUÔ© YH©JUDILN©KD]ÔUODPD©NRQXODUÔQÔ©NDSVD\DQ©ODERUDWXYDUGD©PDWHPDWLNVHO© PHWRWODU©E|OP©'LIHUDQVL\HO©GHQNOHPOHUH©JLULþ©)RXULHU©VHULOHULQL© YH© )RXULHU© G|QþPOHULQL© DQODWDQ© E|OP© +HU© E|OPQ© VRQXQGD© YHULOPLþ©FHYDSODUÔ©HNWH©EXOXQDQ©SUREOHPOHU© .oN«dRFXNODU«LoLQ«0$7(0$7ĝýĝ«$1/$0$«÷«81'(567$1',1*« 0$7+(0$7,&6«IRU«<RXQJ«&KLOGUHQ«÷«$«JXLGH«IRU«WHDFKHUV«RI«FKLOG÷ UHQ«± «'HUHN«+D\ORFN««$QQH«'«&RFNEXUQ«dHYLUL«(GLW|U« =XKDO«<ÖOPD] .oN©\DþWDNL©oRFXNODUÔQ©DQODPDNWD©]RUõ ODQGÔüÔ©YH©RQODUD©DNWDUPDNWD©]RUODQGÔüÔPÔ]© VD\ÔODUGDQ© JHRPHWUL\H© |OoPHGHQ© YHUL© DQDOL]LQH© NDGDU© ELU© oRN© NDUPDþÔN© PDWHõ PDWLNVHO©NDYUDPÔ©ROD\©YH©DQODþÔOÔU©þHNLOGH© DQODWDQ©ELU©EDþYXUX©HVHUL©$ODQÔQGD©X]PDQ© HüLWLPFL©YH©DNDGHPLV\HQOHULQ©oDOÔþPDVÔ©LOH© 7UNoH\H©oHYULOHQ©EX©NLWDS©ONHPL]GH©LON© \ÔOODU©PDWHPDWLüLQLQ©|üUHQLPL©YH©|üUHWLPL© DODQÔQGDNL© PHYFXW© LKWL\DFÔQ© JLGHULOPHõ VLQH©þX©DQD©GHN©\D\ÔQODPÔþ©RODQ©HVHUOHUL© WDPDPOD\DUDN©JHOLþWLUHUHN©YH©PHYFXW©EDNÔþ©DoÔODUÔQD©IDUNOÔ©ER\XWODU© HNOH\HUHN©|QHPOL©NDWNÔODU©VDüOD\DFDNWÔU©%X©NLWDS©LOHUL©G]H\©PDWHPDWLN© NRQXODUÔQÔQ©WHPHOLQL©ROXþWXUDQ©LON©\ÔOODU©PDWHPDWLüLQLQ©|üUHWLPL©YH© |üUHQLPLQLQ©QDVÔO©ROPDVÔ©JHUHNWLüLQL©|üUHQFL\L©PHUNH]H©DODUDN©VÔQÔI© RUWDPÔQGDQ©X\JXODPDODU©JQFHO©DUDþWÔUPDODU©YH©VRPXW©HWNLQOLNOHU© LOH©DoÔNODPDNWDGÔU©ěQDQÔ\RUX]©NL©EX©NLWDS©õ©\Dþ©DUDOÔüÔQGDNL©oRFXNõ ODUD©PDWHPDWLüL©|üUHWHQ©YH\D©|üUHWPHN©LoLQ©HüLWLP©DODQ©NLþLOHU©LoLQ© PDWHPDWLüL©QDVÔO©GDKD©L\L©DQOD\ÔS©|üUHWHFHNOHULQH©GDLU©\RO©J|VWHUHQ© WHPHO©ELU©ND\QDN©RODFDNWÔU « ÷÷÷÷«««%$6.,'$1«d(9ĝ5ĝ««««÷«««6$<)$««c .ĝ0<$'$«9(5ĝ«$1$/ĝ=ĝ«÷8\JXODPDOÖ«ĝVWDWLVWLN÷ 0XVWDID«&HEH « ÷÷÷«««%$6.,««««÷«««6$<)$««c .ĝ1(6ĝ<2/2-ĝ'(«ĝ67$7ĝ67ĝ.««6WDWLVWLFV«LQ«.LQHVLRORJ\ :LOOLDP«-«9LQFHQW«-RVHSK«3«:HLU«dHYLUHQ«<HWNLQ« 8WNX«.DPXN .LQHVL\RORMLGH© ěVWDWLVWLN© NLWDEÔ© |OoPH© DUDþWÔUPD© YHULOHULQ© G]HQOHQPHVL© YH© J|VWHULOPHVL© PRG© RUWDQFD© RUWDODPD© YH© GHüLþNHQOLN©|OoWOHUL©JLEL©ELUoRN©WHPHO©LVõ WDWLVWLN© NRQXODUÔQÔ© NDSVDPDNWD© EXQXQOD© ELUOLNWH© NRUHODV\RQ© UHJUHV\RQ© YDU\DQV© DQDOL]L© $129$© YH© SDUDPHWULN© ROPD\DQ© YHULOHULQ© DQDOL]L© JLEL© LOHUL© LVWDWLVWLN© NRQXõ ODUÔQÔ©GD©HOH©DOPDNWDGÔU©.LWDEÔQ©DQD©RGDN© QRNWDVÔQÔ©VSRU©VDüOÔN©YH©KDUHNHW©ELOLPOHõ ULQGH©HQ©VÔN©NXOODQÔODQ©oDOÔþPD©GHVHQOHUL©ROXþWXUPDNWD©YH©RNX\XFXõ ODUÔQ©HQ©VÔN©NXOODQGÔNODUÔ©LVWDWLVWLN©WHNQLNOHUL©|UQHNOHUOH©DoÔNODQPDNõ WDGÔU©.LWDSWD©NXOODQÔODQ©|UQHNOHU©HJ]HUVL]©IL]\RORMLVL©EL\RPHNDQLN© EHGHQ©HüLWLPL©UHNUHDV\RQ©DQWUHQ|UON©YH©VSRUõVDüOÔN©DODQODUÔQGDQ© VHoLOPLþ©YH©EX©DODQODUGD©oDOÔþDQ©DUDþWÔUPDFÔODUD©YH©|üUHQFLOHUH©\DUõ GÔPFÔ©ROPDN©KHGHIOHQPLþWLU%X©NLWDSWD©LVWDWLVWLN©NXOODQÔPÔQÔQ©WHPHO© LONHOHUL© YH© GLNNDW© HGLOPHVL© JHUHNHQ© QRNWDODU© GD© DoÔNODQPDNWDGÔU© .LWDS© LVWDWLVWLüLQ© \DOQÔ]FD© ELOJLVD\DU© SURJUDPÔQÔQ© RUWD\D© oÔNDUGÔüÔ© VRQXoODUGDQ© LEDUHW© ROPDGÔüÔ© ILNULQL© YH© LVWDWLVWLN© KHVDSODPDODUÔQÔQ© DOWÔQGD©\DWDQ©PDQWÔüÔ©RNX\XFX\X©VÔNPDGDQ©YH©\RUPDGDQ©YHUPHNõ WHGLU© $QODWÔP© GLOL© YH© HOOH© \DSÔOPDVÔ© LVWHQHQ© KHVDSODPDODU© NLWDEÔQ© WHPHO©G]H\GH©PDWHPDWLN©EHFHULVLQH©VDKLS©KHU©RNX\XFX©WDUDIÔQGDQ© UDKDWOÔNOD©DQODþÔODELOLU©YH©X\JXODQDELOLU©ROPDVÔQÔ©VDüODPDNWDGÔU©.Lõ WDS©%HGHQ©(üLWLPL©YH©6SRU©%|OP©|üUHQFLOHUL©KDUHNHW©ELOLPOHUL©YH© VSRUõVDüOÔN©DODQÔQGD©oDOÔþDQ©DUDþWÔUPDFÔODU©YH©LVWDWLVWLüLQ©WHPHO©NDYõ UDPODUÔQÔ©PHUDN©HGHQ©KHUNHV©LoLQ©VÔNOÔNOD©EDþYXUXODFDN©ELU©ND\QDNWÔU « ÷÷÷÷«««%$6.,'$1«d(9ĝ5ĝ««««÷«««6$<)$«5(1./ĝ««c .h0(/(5«7(25ĝ6ĝ1(«*ĝ5ĝÿ 1XUHWWLQ«(UJXQ .PHOHU©WHRULVLQLQ©HQ©WHPHO©NDYUDP©YH©VRõ QXoODUÔQÔ©LþOH\HQ©EX©NLWDS©ELOJLOHULQ©NROD\FD© NDYUDQDELOLU©ROPDVÔ©KHGHIOHQHUHN©|üUHQFLOHULQ© KL]PHWLQH©VXQXOPXþ©NDSVDPOÔ©ELU©oDOÔþPDGÔU© $\UÔQWÔOÔ©RODUDN©NDQÔWODQPÔþ©©|QHUPH©\DUõ GÔPFÔ©WHRUHP©\RO©J|VWHULFL©|]HOOLüL©WDþÔ\DQ©© |UQHN©YH©DOÔþWÔUPD©NLWDS©EWQOü©LoLQGH©\HU© DOPDNWDGÔU©dDüGDþ©NPHOHU©NXUDPÔ©NDUGLQDO© VD\ÔODUD©LOLþNLQ©SHN©oRN©o|]P©\DSÔOPDPÔþ© VRUX\D©RGDNODQPÔþWÔU©.LWDSWD©D\UÔFD©JHQHO© WRSRORML©GHUVLQL©GHVWHNOH\HFHN©QLWHOLNWH©RODQ© RUGLQDO©VD\ÔODUOD©LOJLOL©WHPHO©ELOJLOHU©VÔUDO©YH©QLFHO©VD\Ô©ELOJLOHUL©LþOHQPLþWLU© dDOÔþPD©.PH©ěþOHPOHUL©%DüÔQWÔ©YH©)RQNVL\RQODU©.PH©$LOHOHUL©6ÔUDODPD© 7UOHUL©6HoPH©$NVL\RPX©YH©(þGHüHUOHUL©2UGLQDO©6D\ÔODU©&DQWRUõ%HUQVWHLQ© WHRUHPL©YH©8\JXODPDODUÔ©.DUGLQDO©6D\ÔODU©YH©=)6©$NVL\RPODUÔ©RODUDN© WDQÔPODQDQ©E|OP©EDþOÔNODUÔQGDQ©ROXþPDNWDGÔU « ÷÷÷÷«««%$6.,'$1«d(9ĝ5ĝ««««÷«««6$<)$««c .203/(.6«$1$/ĝ=(«*ĝ5ĝÿ««$«)LUVW«&RXUVH«LQ«&RPSOH[«$QDO\VLV« ZLWK«$SSOLFDWLRQV « ÷÷÷«««%$6.,««««÷«««6$<)$««c 'HQQLV«*«=LOO«3DWULFN«6KDQDKDQ« dHYLUL«(GLW|U«$KPHW«'HUQHN /ĝ1((5«&(%ĝ5«÷6FKDXP¶V 6H\PRXU«/LSVFKXW]««0DUF«/DUV«/LSVRQ dHYLUHQ«ĝONHU«$NNXĀ .LWDS© NRPSOHNV© DQDOL]LQ© WHPHO© LONHõ OHUL© YH© X\JXODPDODUÔ© LoLQ© JoO© ELU© JLULþ© NLWDEÔGÔU© .LWDS© DQDOL]© GHUVOHULQL© DOPÔþ© DQFDN© NDUPDþÔN© GHüLþNHQOHUOH© LOJLOL© KHUKDQJL© ELU© GHQH\LPL© ROPD\DQ© OLVDQV© |üUHQFLOHUL© J|]© |QQH© DOÔQDUDN© G]HQOHQPLþWLU©%LU©oRN©LOJLOL©NRQX©|üõ UHQFL© GRVWX© ELU© GLOOH© WDUWÔþÔOPDNWDGÔU© .DYUDPODU© =LOO´LQ© DQODþÔOÔU© YH© DNÔþNDQ© \D]ÔPÔ© LOH© WDQÔWÔOPDNWD© ELUoRN© |UQHN© YH©þHNLOOHUOH©GHVWHNOHQPHNWHGLU©güUHQFLOHU©oRN©VD\ÔGD©LVSDWOD©\|Qõ OHQGLULOPHNWH©YH©GHVWHNOHQPHNWHGLU©%X©LVSDWODUOD©|üUHQFLOHUH©LOHUL© G]H\GH©ELU©PDWHPDWLNVHO©GHULQOLN©YH©ROJXQOXN©ND]DQGÔUÔOPDNWDGÔU© +HU© E|OPGH© NDUPDþÔN© GHüLþNHQOHULQ© X\JXODPDODUÔQD© LOLþNLQ© D\UÔ© ELU© E|OP© EXOXQPDNWDGÔU© %|\OHFH© NRPSOHNV© DQDOL]LQ© |üUHQFLOHU© WDUDIÔQGDQ©LoVHOOHþWLULOPHVLQH©RODQDN©YHULOPHNWHGLU 6ÔQDY©6RUXODUÔ©PÔ©=RU"©'HUVOHUL©PL©.DoÔUGÔQ"© <HWHUOL©=DPDQÔQ©PÔ©<RN"©1H\VH©NL©VL]LQ©LoLQ© 6FKDXP©6HULVL©YDU©©PLO\RQGDQ©ID]OD©|üUHQFL© GHUVOHUGH©YH©VÔQDYODUGD©EDþDUÔOÔ©ROPDN©LoLQ© \DUGÔPFÔ©RODUDN©6FKDXP´D©JYHQGL6FKDXP© KHU©NRQXGD©\NVHN©EDþDUÔQÔQ©YH©GDKD©KÔ]OÔ© |üUHQPHQLQ©DQDKWDUÔGÔU©+HU©NLWDSWD©EWQ© NRQX©ELOJLOHUL©NRQX\D©J|UH©NROD\©WDNLS©HGLOLU© ELU©þHNLOGH©YHULOLU$\UÔFD©\]OHUFH©|UQHN©o|õ ]PO©SUREOHP©YH©X\JXODPDOÔ©DOÔþWÔUPD©GD© HGLQLUVLQL]©%X©6FKDXP©NLWDEÔ©VL]H ©%LOJLOHULQL]L©SHNLþWLUPHN©LoLQ©o|]PO©©SUREOHP ©/LQHHU©FHELUGHNL©EWQ©NDYUDPODUÔQ©NÔVD©YH©|]©DoÔNODPDODUÔQÔ ©&HELUVHO©VLVWHPOHU©SROLQRPODU©YH©PDWULV©X\JXODPDODUÔ\OD©LOJLOL HQ©VRQ©JHOLþPHOHUL©NDSVD\DQ©JQFHO©ELOJLOHUL©YHULU « ÷÷÷÷«««%$6.,'$1«d(9ĝ5ĝ«««««÷««««6$<)$«.8ÿ(«5(1./ĝ«««c QREHO#QREHO\D\LQFRP©õ©ZZZQREHO\D\LQFRP©õ©ZZZQREHON LWDSFRP©õ©ZZZHEDELO\D\LQODULFRP MATEMATİK - İSTATİSTİK *HQHO©0DWHPDWLN©õ©7HNQLN©0DWHPDWLN©õ©ěVWDWLVWLN©õ©2ODVÔOÔN (NRQRPHWUL©õ©0DWHPDWLN©güUHWLPL 'HUV©QRWODUÔQÔ]OD©WDPDPHQ©X\XPOXGXU©ELOPHQL]©JHUHNHQ©WP©|QHPOL© JHUoHNOHUL©YXUJXODU©dDOÔþPD©VUHQL]L©NÔVDOWPDN©YH©VÔQDYODUGD©\NVHN©SXDQ© DOPDN©LoLQ©6FKDXP©6HULVL©NXOODQÔQ OHþPLþ©$QDOL]©,õ,,©7HPHO©0DWHPDWLN©,õ,,©*HQHO©0DWHPDWLN©,õ,,©.DONXOV© ,õ,,©JLEL©DGODUOD©YHULOPHNWH©RODQ©GHUVOHUH©\|QHOLN©KD]ÔUODQPÔþ©RODQ©EX© NLWDSWD©WHRULQLQ©\DQÔVÔUD©GRüDGDQ©YH©\DþDPGDQ©VXQXODQ©PRGHUQ©VRPXW© YH©DODQD©|]J©|UQHNOHU©YH©SUREOHP©VHWOHUL©KHU©VHYL\HGHQ©|üUHQFLQLQ© NROD\FD©DQOD\DFDüÔ©ELU©GLOGH©VXQXOPXþWXU©$QD©NRQXODU©IRQNVL\RQODU© OLPLW©VUHNOLOLN©WUHY©WUHY©X\JXODPDODUÔ©LQWHJUDO©LQWHJUDO©X\JXODõ PDODUÔ©NXWXSVDO©NRRUGLQDWODU©GL]L©YH©VHULOHUGLU « ÷÷÷÷«««%$6.,'$1«d(9ĝ5ĝ««««÷«««6$<)$««c /ĝ1((5«&(%ĝ5 $ULI«6DEXQFXRþOX « ÷÷÷÷««%$6,0'$1«d(9ĝ5ĝ««&ĝ/7«««««6$<)$««5(1./ĝ««c %X©oDOÔþPD©QLYHUVLWHOHULPL]LQ©ELULQFL©VÔQÔIODUÔQGD© RNXWXODQ©/LQHHU©&HELU©GHUVOHULQH©\DUGÔPFÔ©RODFDN© ND\QDN©NLWDS©QLWHOLüL©WDþÔPDNWDGÔU©/LQHHU©&HELU© NLWDEÔ©LoLQGH©\HU©DODQ©E|OPOHU©YHNW|U©X]D\ODUÔ© OLQHHU©G|QþPOHU©YH©PDWULVOHU©GHWHUPLQDQW© IRQNVL\RQX©NDUDNWHULVWLN©SROLQRPODU©GXDO© X]D\ODU©EDþOÔNODUÔ©DOWÔQGD©WRSODQPÔþWÔU©.LWDSWD© \HU©DODQ©NRQXODU©DUDVÔQGD©EDüODQWÔ©NXUXOPDVÔQD© DoÔNODPD©\DSÔOÔUNHQ©|üUHQFLQLQ©]LKQLQGH©VRUX© LþDUHWL©EÔUDNPDPD\D©|]HQ©J|VWHULOPLþWLU©ěoHULN© oDOÔþPDVÔ©\DSÔOÔUNHQ©NLPL©]RU©SUREOHPOHULQ© o|]POHULQH©NLPLOHULQLQ©LVH©o|]P©\ROXQX©DoDFDN©LSXFX©QLWHOLüL©WDþÔ\DQ© \|QOHQGLUPHOHUH©\HU©YHUPH\H©|]HOOLNOH©GLNNDW©HGLOPLþWLU « ÷÷÷÷«««%$6.,'$1«d(9ĝ5ĝ««&ĝ/7«««««6$<)$««5(1./ĝ««c 0$7(0$7ĝ.«$1$/ĝ=«,9 0HKPHW«1DFL«g]HU « ÷÷÷«««%$6.,««««÷«««6$<)$««c 0$7(0$7ĝ.«(ýĝ7ĝ0ĝ1'(«7(.12/2-ĝ«.8//$1,0, (GLW|UOHU«0XVWDID«'RþDQ««(URO«.DUDNÖUÖN %X©NLWDEÔQ©KD]ÔUODQPDVÔQGDNL©|QFHOLNOL©DPDo©PDWHõ PDWLN©HüLWLPFLOHUL©LOH©|üUHWPHQ©YH©|üUHQFLOHULPL]L© PDWHPDWLN©HüLWLPLQGH©NXOODQÔODQ©WHNQRORMLOHULQGHQ© KDEHUGDU©HWPHN©YH©HWNLQ©NXOODQÔPODUÔQD©IÔUVDW© VDüODPDNWÔU©ěNLQFLO©DPDo©LVH©PDWHPDWLN©HüLWLPLQGH© WHNQRORML©NXOODQÔPÔQGD©J|UOHQ©HNVLNOLüL©HüLWLP© FDPLDVÔQD©IDUN©HWWLUPHN©GX\XUPDN©YH©ELU©QHE]HGH© ROVD©X\JXODPDODUOD©JLGHUPH\H©oDOÔþPDNWÔU(OLQL]GHNL© HVHU©WHNQRORMLQLQ©PDWHPDWLN©HüLWLPLQH©HQWHJUDV\RQX© NRQXVXQGD©ELU©ELOLQo©ROXþWXUPDVÔ©|]HOOLNOH©7UNoH© DUD©\]O©\D]ÔOÔPODU©JHOLþWLULOPHVLQH©YH©PHYFXW© \D]ÔOÔPODUÔQ©7UNoH\H©X\DUODQPDVÔQD©KÔ]©ND]DQGÔUPDVÔ©YH©WP©PDWHPDWLN© HüLWLPL©FDPLDVÔQD©ID\GDOÔ©ROPDVÔ©WHPHQQLVL\OH¨ « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c 0$1ĝ)2/'/$5,1«'ĝ)(5(16ĝ<(/«*(20(75ĝ6ĝ %D\UDP«ÿDKLQ %X©NLWDSWD©ELUoRN©DODQGD©NXOODQÔODQ©PDQLIROGODUÔQ© E\O©GQ\DVÔ©WDQÔWÔOPDNWDGÔU©.LWDS©HQ©WHPHO© NDYUDP©RODQ©PDQLIROG©WDQÔPÔ©YH©|UQHNOHUL©LOH© EDþODPDNWD©YH©JQP]GH©GH©ELUoRN©DUDþWÔUPDFÔ© WDUDIÔQGDQ©oDOÔþÔODQ©DOWPDQLIROG©VXEPHUVL\RQ© KDUPRQLN© YH© ELõKDUPRQLN© G|QþPOHULQL© GH© LoHUHQ©JHQLþ©ELU©DODQ©VXQPDNWDGÔU©%X©NRQXODU© GHWD\OÔ©RODUDN©LþOHQPHNWH©KHU©ELU©NDYUDPD©|Uõ QHNOHU©VXQXOPDNWD©YH©X\JXODPD©DODQODUÔ©GD©YHõ ULOPHNWHGLU©0DQLIROGODU©WHRULVL©KHP©PDWHPDWLNWH© KHP©GH©oHþLWOL©GRüDO©ELOLPOHUGH©YH©PKHQGLVOLN© ELOLPOHULQGH©NRQILJUDV\RQ©X]D\Ô©RODUDN©NXOODQÔOGÔüÔQGDQ©EX©WHRUL©YH© NXOODQÔODQ©GLIHUHQVL\HO©JHRPHWULN©\|QWHPOHU©ROGXNoD©|QHPOLGLU©.LWDS© RNX\XFX\D©EX©WU©NDYUDP©YH©\|QWHPOHUL©GHWD\OÔ©VXQDUDN©NHQGL©DODQÔQõ GD©NXOODQÔPÔQÔ©PPNQ©NÔOPDNWDGÔU©.LWDS©PDWHPDWLN©IL]LN©PDNLQH©YH© NRQWURO©PKHQGLVOLNOHUL©E|OPOHULQGH©GHUV©NLWDEÔ©RODUDN©RNXWXODELOHFHüL© JLEL©QLYHUVLWHOHUGHNL©OLVDQV©VW©|üUHQFLOHUL©LOH©DUDþWÔUPDFÔODU©LoLQ©ELU© EDþXFX©NLWDEÔ©RODUDN©ID\GDOÔ©RODFDNWÔU « ÷÷÷÷«««%$6.,««««÷««6$<)$«««c 0$7(0$7ĝ.«'(1(<ĝ0ĝ««7KH«0DWKHPDWLFDO«([SHULHQFH«6WXG\« (GLWLRQ 3KLOLS«'DYLV«5HXEHQ«+HUVK«(OHQD«$QQH« 0DUFKLVRWWR« dHYLUL«(GLW|U«6RQHU«'XUPXĀ « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c 0$7(0$7ĝ. $OL«(UGRþDQ « ÷÷÷÷««*(1ĝÿ/(7ĝ/0ĝÿ««%$6.,««««÷«««6$<)$««c « d(9ĝ5ĝ'( 0$7(0$7ĝ.«««&$/&8/86«(DUO\«7UDQVFHQGHQWDOV 0$7(0$7ĝ.6(/«$1$/ĝ= 'HQQLV«*«=LOO«:DUUHQ«6«:ULJKW«dHYLUL«(GLW|U«ĝVPDLO«1DFL«&DQJO ««)DKUHWWLQ«$UVODQ « %$6.,'$ 0$7/$%«9(«ĝ67$7ĝ67ĝ.6(/«9(5ĝ«$1$/ĝ=ĝ ĝSHN«'HYHFÖ«.RFDNRo 0$7/$%©WP©ELOLP©GDOODUÔQGDNL©DUDþWÔUPDFÔ© DNDGHPLV\HQ©YH©|üUHQFLOHUH©oDOÔþPDODUÔQGD©GDKD© HWNLQ©YHULPOL©YH©\DUDWÔFÔ©ELU©RUWDP©VDüODU©'Qõ \DGD©NXOODQÔFÔ©VD\ÔVÔ©PLO\RQODUD©XODþDQ©0$7/$%© SURJUDPÔQÔQ©ONHPL]GH©GH©\D\JÔQ©NXOODQÔOÔU©KDOH© JHOPHVL©ELOLPVHO©LOHUOHPHPL]©DoÔVÔQGDQ©|QHPOL© YH©JHUHNOLGLU©%X©NLWDEÔQ©DPDFÔ©0$7/$%©LOH©WHõ PHO©YHUL©DQDOL]L©YH©LVWDWLVWLNVHO©KHVDSODPDODUÔQ© WHRUL\H©oRN©ID]OD©JLUPHGHQ©ELU©X\JXOD\ÔFÔ©EDNÔþ© DoÔVÔ\OD©DoÔNODQPDVÔGÔU hQLYHUVLWHOHUGH©0DWHPDWLN©ěVWDWLVWLN©)L]LN©.LP\D©%L\RORML©0ROHNOHU© %L\RORML©YH©*HQHWLN©0KHQGLVOLN©YH©=LUDDW©%|OPOHULQGH©JHOHQHNVHOõ QREHO#QREHO\D\LQFRP©õ©ZZZQREHO\D\LQFRP©õ©ZZZQREHON LWDSFRP©õ©ZZZHEDELO\D\LQODULFRP MATEMATİK - İSTATİSTİK *HQHO©0DWHPDWLN©õ©7HNQLN©0DWHPDWLN©õ©ěVWDWLVWLN©õ©2ODVÔOÔN (NRQRPHWUL©õ©0DWHPDWLN©güUHWLPL .LWDS©LKWL\DFÔ©RODQ©KHVDSODPDODUÔ©YH©J|UVHOOHþWLUPHOHUL©HVQHN©ELU©RUWDPGD© \DSPDN©LVWH\HQ©WP©DUDþWÔUPDFÔODU©OLVDQV©YH©\NVHN©OLVDQV©|üUHQFLOHULQLQ© EDþYXUDFDüÔ©ELU©ND\QDN©ROXþWXUDFDNWÔU©+HU©E|OPQ©VRQXQGD©\HU©DODQ© o|]PO©DOÔþWÔUPDODU©RNX\XFXQXQ©NHQGLQL©GHQHPHVLQH©YH©GDKD©ID]OD© |üUHQPHVLQH©\DUGÔPFÔ©RODFDNWÔU GH©JLGHULOPHVL©\ROXQGD©NoN©ELU©NDWNÔPÔ]©ROPDVÔQÔ©PLW©HGL\RUX]©.LWDS© <DUGÔPFÔ©7DEORODU©0HWULN©8]D\ODU©1RUPOX©8]D\ODU©<DNÔQVDNOÔN©YH©7DPOÔN© 0HWULN©8]D\ODUÔQ©7RSRORMLN©$QDOL]L©%DQDFK©6DELW©1RNWD©7HRUHPL©0HWULN© 8]D\ODU©ěoLQGH©6UHNOLOLN©%DüODQWÔOÔ©8]D\ODU©.RPSDNWOÔN©dDUSÔP©8]D\ODUÔ© 1RUPOX©8]D\ODUGD©%D]Ô©6RQXoODU©:HLHUVWUDVV©<DNODþÔP©7HRUHPL©gQ©%LOJLOHU© E|OPOHULQGHQ©ROXþPDNWDGÔU .LWDS©QLYHUVLWHOHULQ©|]HOOLNOH©LNWLVDW©HNRQRPHWUL©LþOHWPH©LVWDWLVWLN© YH©PKHQGLVOLN©ELOLPOHUL©E|OPOHULQGHNL©DNDGHPLV\HQ©DUDþWÔUPDFÔ©YH© |üUHQFLOHULQ©0$7/$%©LOH©NROD\©WDQÔþPDVÔQÔ©VDüOD\DFDN©LVWDWLVWLNVHO©YHUL© DQDOL]L©NRQXODUÔQGDNL©VRUXODUÔQD©ÔþÔN©WXWDFDNWÔU « ÷÷÷÷««%$6.,««««÷«««6$<)$««c 0(75ĝ.«9(«7232/2-ĝ.«8=$</$5$«*ĝ5ĝÿ««,QWURGXFWLRQ«WR«0HWULF«« 7RSRORJLFDO«6SDFHV « ÷÷÷÷«««%$6.,«««««;««««6$<)$«««c +DVDQ«ĝOKDQ«7XWDODU«6DDGHW«g\N«<XUWWDĀ 0$75ĝ6«ĝÿ/(0/(5ĝ÷6FKDXP¶V %X©NLWDS©|]HOOLNOH©QLYHUVLWHOHULQ©LOJLOL©E|OPõ OHULQLQ©©VÔQÔI©YH©VRQUDNL©VÔQÔI©|üUHQFLOHUL©LoLQ© KD]ÔUODQPÔþWÔU©.LWDSWD©JHUoHO©DQDOL]GH©\HU©DODQ© VUHNOLOLN©\DNÔQVDNOÔN©NRPSDNWOÔN©EDüODQWÔOÔOÔN© JLEL©ED]Ô©WHPHO©NRQXODU©PHWULN©YH©WRSRORMLN© X]D\ODUD©JHQHOOHþWLULOPHNWH©NRQXODU©DþLQDOÔN©NDõ ]DQÔOPDVÔ©DoÔVÔQGDQ©|QFH©PHWULN©X]D\ODUGD©VRQUD© GD©WRSRORMLN©X]D\ODUGD©DQODWÔOPDNWDGÔU©%|OP© X]D\ODUÔQÔQ©DQODWÔOGÔüÔ©NÔVÔPGD©7RUXV©0|ELXV© ýHULGL©.OHLQ©ýLþHVL©*HUoHO©ě]GþHO©']OHP©\]H\OHUL© LQFHOHQHUHN©JHRPHWULN©WRSRORML\H©NÔVD©ELU©JLULþ© \DSÔOPÔþWÔU©.LWDS©|UQHNOHU©YH©E|OP©VRQODUÔQD©NRQXODQ©DOÔþWÔUPDODU©\DUGÔPFÔ© ZHE©VLWHVLQGHNL©DoÔNOD\ÔFÔ©|UQHNOHU©\DQÔQGD©HN©NRQXODUOD©]HQJLQOHþWLULOPLþWLU© %X©þHNOL\OH©NLWDEÔQ©|üUHQFLOHULPL]H©|QHUHELOHFHüLPL]©NRQXVXQGD©\HWHUOL©ELU© ND\QDN©ROGXüX©LQDQFÔQGD\Ô] 5«%URQVRQ«dHYLUL«(GLW|U«+LOPL«+DFÖVDOLKRþOX 0DWHPDWLNWH©\HU©DODQ©KLoELU©NRQX©VRQ©©\ÔO©LoLQGH© PDWULVOHU©NDGDU©E\N©ELU©GHüLþLP©JHoLUPHPLþWLU© %X©GXUXP©KHP©ELOJLVD\DU©WHNQRORMLVLQLQ©|QQH© JHoLOPH]©ELU©KÔ]OD©LOHUOHPHVLQH©KHP©GH©PDWULV© \|QWHPOHULQLQ©GLüHU©X\JXODPDOÔ©GLVLSOLQOHUFH©WDõ QÔQPDVÔ©VRQXFXQGD©NDEXO©J|UPHVLQH©EDüODQDELOLU© %LOJLVD\DU©WHNQRORMLVL©GUO©KHVDSODPDODU©\DSPDN© LoLQ©YHULPOL©ELU©RUWDP©VDüODU©<|QH\OHP©DUDþWÔUPDODUÔ© JLEL©NLPL©J|UHFHOL©DODQODU©E\N©DüÔUOÔNOD©PDWULV© FHELULQH©GD\DQÔU©(NRQRPL©RODVÔOÔN©YH©GLIHUHQVL\HO© GHQNOHPOHU©JLEL©NLPL©JHOLþNLQ©NRQXODU©GD©NDUPDþÔN© NDYUDPODUÔQ©DoÔNOÔüD©NDYXþPDVÔ©YH©EDVLWOHþPHVL©LoLQ©PDWULVOHUL©]DPDQ©LoLQGH© GDKD©oRN©NXOODQPD\D©EDþODPÔþWÔU©%X©oDOÔþPD©PDWULV©LþOHPOHULQH©DOJRULWPLN© ELU©\DNODþÔP©VXQPXþWXU©.DUÔþÔN©LþOHPOHU©ELOJLVD\DU©X\JXODPDVÔ©LoLQ©NROD\FD© SURJUDPODQDELOHFHN©DGÔPODU©GL]L©þHNOLQGH©YHULOPLþWLU©.LWDS©ER\XQFD©YXUJX© KHVDSODPDGD©NXOODQÔODQ©YHULPOL©\|QWHPOHU©]HULQHGLU©0DWULV©\|QWHPOHULQL© \DSPÔþ©ROGXüX©LþH©X\JXODPDN©LVWH\HQOHU©LoLQ©ID\GDOÔ©RODFDN©ELU©oDOÔþPDGÔU « ÷÷÷÷«««%$6,0'$1«d(9ĝ5ĝ««««÷«««6$<)$««c 02'(51«8<*8/$0$/,«'ĝ)(5(16ĝ<(/«'(1./(0/(5 <DĀDU«3DOD )L]LNL©ROD\ODUÔQ©PRGHOOHQPHVL©VÔUDVÔQGD©WHõ PHO©\|QWHP©RODUDN©GLIHUHQVL\HO©GHQNOHPOHU© NXOODQÔOPDNWDGÔU©%X©KDOL\OH©]HULQGH©HQ© oRN©oDOÔþÔODQ©PDWHPDWLN©DODQODUÔQGDQ©ELULVL© NRQXPXQGDGÔU©0RGHUQ©8\JXODPDOÔ©'LIHõ UHQVL\HO©'HQNOHPOHU©NLWDEÔQÔQ©\D]ÔOPDVÔQÔQ© DPDFÔ©X\JXODPD\D©\|QHOLN©oDOÔþPDODUGD© WHRULN©ELOJL©G]H\LQGH©ND\QDNOÔN©HWPHNõ WHGLU©7DVDUÔP©DþDPDVÔQGD©GHULQOLüLQH© oDOÔþPD©\DSPD©LKWL\DFÔQD©FHYDS©YHUPH© DGÔQD©DGL©GLIHUHQVL\HO©GHQNOHPOHU©NÔVPL© GLIHUHQVL\HO©GHQNOHPOHU©YH©LOHUL©PKHQõ GLVOLN©PDWHPDWLüL©NRQXODUÔ©oDOÔþPD©LoHULVLQGH©NDSVDPOÔ©RODUDN©LQFHOHQPLþWLU© dDOÔþPD©VÔUDVÔQGD©NRQXODUÔQ©LoHULN©DQODPÔQGD©EWQON©WDþÔPDVÔQD©YH©PRGHUQ© OLWHUDWUH©KkNLP©ROPDVÔQD©|]HQ©J|VWHULOPLþWLU©.LWDEÔQ©%LULQFL©0HUWHEHGHQ©$GL© 'LIHUHQVL\HO©'HQNOHPOHU©ěNLQFL©0HUWHEHGHQ©'LIHUHQVL\HO©'HQNOHPOHU©<NVHO© 0HUWHEHGHQ©'LIHUHQVL\HO©'HQNOHPOHU©.XYYHW©6HULOHUL©ěOH©d|]P©/DSODFH© '|QþP©/LQHHU©'LIHUHQVL\HO©'HQNOHP©6LVWHPOHUL©)RXULHU©6HULOHUL©YH©6ÔQÔU© 'HüHU©3UREOHPOHUL©.ÔVPL©'LIHUHQVL\HO©'HQNOHPOHU©6LOLQGLULN©YH©.XWXSVDO© .RRUGLQDNODUGD©.ÔVPL©'LIHUHQVL\HO©'HQNOHPOHU©)RXULHU©ěQWHJUDOOHUL©YH©)RXULHU© '|QþP©6D\ÔVDO©<|QWHPOHU©YH©3HUPWDV\RQ©7HRULVL©EDþOÔNOÔ©WRSODPGD©RQ© LNL©E|OPGHQ©ROXþPDNWDGÔU « ÷÷÷«««%$6.,««««÷«««6$<)$««c 0(75ĝ.«8=$</$5«9(«7232/2-ĝ6ĝ <NVHO«6R\NDQ %X©NLWDS©QLYHUVLWHOHULPL]LQ©OLVDQV©VHYL\HVLQGH© RNXWXODQ©±0HWULN©8]D\ODU²©±)RQNVL\RQHO©$QDOL]²© ±7RSRORML²©YH©±5HHO©$QDOL]²©GHUVOHULQH©\DUGÔPFÔ© ROPDN©DPDFÔ\OD©KD]ÔUODQPÔþWÔU©YH©\HQL©EDþOD\DQODU© LoLQ©OLVDQV©VHYL\HVLQGH©JHUHNOL©RODELOHFHN©ELUoRN© ELOJL©YH©NRQX©YHULOPH\H©oDOÔþÔOPÔþWÔU©/LVDQV©VW© oDOÔþPDODUGD©GD©NLWDSWDQ©ND\QDN©RODUDN©\DUDUõ ODQÔODELOLU©%WQ©WHRUHPOHULQ©LVSDWODUÔ©D\UÔQWÔOÔ© RODUDN©YHULOPH\H©oDOÔþÔOPÔþWÔU©YH©NRQXODUÔQ©UDKDW© DQODþÔOPDVÔ©LoLQ©ERO©PLNWDUGD©|UQHN©YHULOPLþWLU© $\UÔFD©KHU©E|OPH©oRN©VD\ÔGD©DOÔþWÔUPD©NRQPXþõ WXU©%X©DOÔþWÔUPDODUÔQ©GHWD\OÔ©o|]POHULQL©LoHUHQ©D\UÔ©ELU©NLWDS©\LQH©1REHO© $NDGHPLN©<D\ÔQFÔOÔN©WDUDIÔQGDQ©±0HWULN©8]D\ODU©YH©7RSRORMLVL©d|]PO© $OÔþWÔUPDODUÔ²©EDþOÔüÔ\OD©\D\ÔPODQPÔþWÔU « ÷÷÷÷«««%$6.,««««÷«««6$<)$«c « ÷÷÷÷«*(/ĝÿ7ĝ5ĝ/0ĝÿ««%$6.,««««÷«««6$<)$««c 0(75ĝ.«8=$</$5«9(«7232/2-ĝ6ĝ«d|]PO«$OÖĀWÖUPDODUÖ 02'(51«8<*8/$0$/,«'ĝ)(5(16ĝ<(/«'(1./(0/(5«d|]PO« 3UREOHPOHU <NVHO«6R\NDQ %X©NLWDS©\D]DUÔQ©0HWULN©8]D\ODU©YH©7RSRORMLVL© DGOÔ©NLWDEÔQÔQ©DOÔþWÔUPDODUÔQÔQ©WPQQ©NDSõ VDPOÔ©o|]POHULQL©LoHUPHNWHGLU©.LWDSWD©VRUXODU© o|]OUNHQ© JHUHNOL© KDWÔUODWPDODU© \DSÔOPÔþ© o|]POHU©\HWHULQFH©DoÔN©RODUDN©YHULOPLþWLU©dDõ OÔþPD©QLYHUVLWHOHULQ©PDWHPDWLN©E|OPOHULQGH© RNXWXOPDNWD©RODQ©±0HWULN©8]D\ODU²©±)RQNVL\RQHO© $QDOL]²©±7RSRORML²©YH©±5HHO©$QDOL]²©GHUVOHULQLQ© DQODþÔOPDVÔQÔ©NROD\ODþWÔUDFDNWÔU%LUoRN©DODQGD© KLVVHGLOHQ©7UNoH©DOÔþWÔUPD©NLWDEÔ©HNVLNOLüLQLQ© <DĀDU«3DOD (OLQL]GHNL© NLWDS© GDKD© |QFH© \D\ÔPODQPÔþ© EXOXQDQ© ±0RGHUQ© 8\JXODPDOÔ© 'LIHUHQõ VL\HO© 'HQNOHPOHU© 1REHO© <D\ÔQODUÔ© ²© NRQX© DQODWÔPOÔ© DQD© NLWDEÔPÔ]GDNL© SUREõ OHPOHULQ© o|]POHULQL© LKWLYD© HWPHNWHGLU© 2Q© LNL© NÔVÔPGDQ© ROXþDQ© NLWDS© EX© KDOL\OH© PKHQGLVOLN© IDNOWHOHUL© PDNLQH© LQþDDW© HOHNWURQLN©XoDN©WHNVWLO©RWRPRWLY©HQGVWUL© YE© YH© IHQ© IDNOWHOHUL© PDWHPDWLN© IL]LN© QREHO#QREHO\D\LQFRP©õ©ZZZQREHO\D\LQFRP©õ©ZZZQREHON LWDSFRP©õ©ZZZHEDELO\D\LQODULFRP MATEMATİK - İSTATİSTİK *HQHO©0DWHPDWLN©õ©7HNQLN©0DWHPDWLN©õ©ěVWDWLVWLN©õ©2ODVÔOÔN (NRQRPHWUL©õ©0DWHPDWLN©güUHWLPL NLP\D©EL\RORML©YE©EDþWD©ROPDN©]HUH©PXKWHPHOHQ©GLüHU©IDNOWHOHU© LoLQGH©EX©DODQGD©o|]P©DþDPDVÔQGD©|QFHOLNOL©EDþYXUX©NLWDSODUÔQGDQ© ELUL©RODFDN©þHNLOGH©\D]ÔOPÔþWÔU©d|]OPHVL©|üUHQFL©LoLQ©]RU©JHOHQ©YH© OLWHUDWUP]GH©o|]POHUL©ID]ODFD©\HU©DOPD\DQ©VRUXODUGDQ©ROXþDQ© EX©HVHU©o|]PO©SUREOHP©NLWDSODUÔ©DUDVÔQGD©\HULQL©DOPDNWDGÔU©%X© DODQGD©LVWHQLOHQ©VHYL\HGH©ELU©ELULNLP©HOGH©HWPHN©LVWH\HQ©|üUHQFL©YH© RNX\XFXODUÔPÔQ©|QFHOLNOH©DQD©NLWDSWDQ©NRQX\X©|üUHQPHOHUL©YH©EX© HVHUGHQ© o|]POHUL© WDNLS© HWPHOHUL© JHUHNPHNWHGLU© =DWHQ© HVHU© DQD© NLWDSOD©LQWHUDNWLI©ELU©oDOÔþPD\Ô©JHUHNWLUPHNWHGLU 0KHQGLV«YH«IHQFLOHU«LoLQ«7(0(/«0$7/$%««(VVHQWÖDO«0DWODE«)RU« (QJLPHHUV«$QG«6FLHQWLVWV «%ULDQ«+DKQ««'DQLHO«9DOHQWLQH« dHYLUL«(GLW|U«7ROJD«(QVDUL « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c 0h+(1'ĝ6/(5«ĝdĝ1«(;&(/«8<*8/$0$/$5, 0HKPHW«%DNLRþOX«0HFLW«dHOLN $%(7© NXUDOODUÔQGDQ© ELUL© GH© GHUVOHUGH© ELOõ JLVD\DU© NXOODQÔPÔQÔQ© WHþYLN© HGLOPHVLGLU© %X©QHGHQOH©ELUoRN©GHUV©NLWDEÔQÔQ©VRQXQD© ELOKDVVD© \DEDQFÔ© ONHOHUGH© VD\ÔVDO© DQDOL]© LOH©LOJLOL©NRQXODU©HNOHQGL©YH©o|]P©|üUHQõ FL\H© EÔUDNÔODQ© SUREOHPOHULQ© ELU© NÔVPÔQÔQ© ELOJLVD\DU©LOH©\DSÔOPDVÔ©LVWHQGL©'ROD\ÔVÔ\OD© VD\ÔVDO© DQDOL]LQ© YH© ELOJLVD\DU© NXOODQÔPÔ© LOH© LOJLOL©GHUVOHULQ©|QHPL©DUWWÔ©YH©JQ©JHoWLNoH© GH©DUWPDNWDGÔU©2ILV©SURJUDPODUÔQÔQ©LoLQGH© ([FHO´LQ©0KHQGLVOLN©EDNÔPÔQGDQ©|QHPOL©ELU© \HUL©YDUGÔU©%LOJLVD\DUODUÔQ©WDþÔQÔU©KkOH©JHOõ PHVL\OH©(OHNWURQLN©WDEORODU©DUWÔN©HO©KHVDS©PDNLQDODUÔQÔQ©\HULQL©DOPÔþ© ROXS©|üUHQFLOHULQ©HY©|GHYOHULQL©KD]ÔUODPDVÔQGD©oRN©ID\GDOÔ©ELU©DUDo© KkOLQH© JHOPLþWLU© (OHNWURQLN© WDEORODUÔQ© GLüHU© ELOJLVD\DU© SURJUDPODõ UÔQGDQ©IDUNÔ©EWQ©DUD©LþOHPOHU©J|]©|QQGH©EXOXQGXüXQGDQ©KDWD© NROD\© EXOXQPDNWD© YH© KHVDED© KDNLPL\HW© VDüODQPDNWDGÔU© %XQODUD© HN©RODUDN©WDEOR©PDQWÔüÔ©PKHQGLVOHULQ©ELUoRN©KHVDSODUÔQGD©NXOODQõ GÔüÔ© PDQWÔNWÔU© .LWDSWD© NRQXODU© WHPHO© HOHPDQODUD© |QFHOLN© YHULOHUHN© LQFHOHQGL© $\UÔFD© LQFHOHPHGH© |QFH© ([FHO© ELOJLOHULQLQ© KHSVL© YHULOLS© VRQUD© X\JXODPDODUD© JHoLOPHGL© ([FHO© ELOJLOHUL© LOH© X\JXODPD\D© DLW© |UQHNOHU©Lo©LoH©YHULOGL©'ROD\ÔVÔ\OD©DQODWÔP©WHNG]HOLNWHQ©NXUWDUÔOGÔ « d(9ĝ5ĝ'( 0KHQGLVOLN«YH«ĝVWDWLVWLN«%|OPOHUL«ĝoLQ«dg=h0/h«/ĝ1((5«&(%ĝ5« $/,ÿ7,50$/$5, MÜHENDISLIK VE ISTATISTIK BÖLÜMLERI IÇIN $ULI«6DEXQFXRþOX %X©NLWDS©\D]DUÔQ©±0KHQGLVOHU©YH©ěVWDWLVWLNoLOHU© LoLQ©/LQHHU©&HELU²©DGOÔ©NLWDEÔQGDNL©DOÔþWÔUPDODUÔQ© o|]POHULQL©NDSVDPDNWDGÔU©hQLYHUVLWHOHULQ© PKHQGLVOLN©YH©ěVWDWLVWLN©E|OPOHULQGH©ELULQFL© YH\D©LNLQFL©VÔQÔIWD©RNXWXOPDNWD©RODQ©±/LQHHU© &HELU²©GHUVOHULQGH©|üUHQFLOHUH©\DUGÔPFÔ©ROPDN© DPDFÔ\OD©KD]ÔUODQPÔþWÔU©0DWHPDWLNWH©ELU©NRQXQXQ© \HWHULQFH©DOJÔODQDELOPHVL©LoLQ©R©NRQXQXQ©RNXQXS© JHoLOPHVL©\HWHUOL©ROPDPDNWDGÔU©2©NRQX\OD©LOJLOL© RODUDN©oRN©VD\ÔGD©SUREOHPLQ©o|]OPHVL©JHUHNõ PHNWHGLU©/LQHHU©&HELU©GHUVOHULQGHNL©ED]Ô©NDYUDPODU©|üUHQFLQLQ©NDUþÔVÔQD© LON©NH]©oÔNPDNWDGÔU©%XQGDQ©GROD\Ô©ELU©|üUHQFLQLQ©ELU©NRQX\X©RNXGXNWDQ© YH\D©GLQOHGLNWHQ©VRQUD©EX©NRQX\OD©LOJLOL©SUREOHPOHUL©o|]HELOPHVL©]RU© ROPDNWDGÔU©=DPDQ©]DPDQ©GD©o|]PO©SUREOHPOHUL©RNXGXNoD©NRQX©GDKD© L\L©DQODþÔODELOPHNWHGLU©%X©\]GHQ©GHUV©NLWDEÔQGDNL©SUREOHPOHULQ©WPQQ© o|]P©EX©NLWDED©NRQXOPXþWXU©3UREOHPOHU©NROD\GDQ©]RUD©GRüUX©VÔUDODQPÔþ© VR\XW©SUREOHPOHU©VRQODUD©NRQXOPXþWXU©0DWHPDWLN©GDOÔQGDNL©|üUHQFLOHU©LOHUL© VÔQÔIODUGDNL©GHUVOHUGH©PKHQGLVOLN©YH©LVWDWLVWLN©GDOODUÔQGDNL©|üUHQFLOHUH©J|UH© GDKD©oRN©/LQHHU©&HELU©ELOJLVLQH©LKWL\Do©GX\PDNWDGÔU©2QXQ©LoLQ©EX©NLWDED© PDWHPDWLNoLOHU©LoLQ©KD]ÔUODQDQ©OLQHHU©FHELU©NLWDSODUÔQGDNL©ED]Ô©NRQXODU©DOÔQõ PDPÔþWÔU©.LWDED©DOÔQDQ©SUREOHPOHU©EX©DODQGDNL©oRN©|]HO©SUREOHPOHUGHQ© oRN©|üUHQFLOHULQ©NROD\FD©DQOD\DELOHFHNOHUL©|üUHQFLOHUH©/LQHHU©&HELU©GHUVLQL© VHYGLUHFHN©YH©LOHUL©VÔQÔIODUGD©RNX\DFDNODUÔ©GHUVOHUH©WHPHO©ROXþWXUDFDN©OLQHHU© FHELU©ELOJLOHULQL©GDKD©L\L©NDYUDWDFDN©YH©SHNLþWLUHFHN©WUGH©VRUXODUGÔU©3UREõ OHPOHULQ©VRQXoODUÔ©YH©EX©VRQXoODUÔ©HOGH©HGHUNHQ©\DSÔOPDVÔ©JHUHNHQ©LþOHPOHU© RNX\XFX©\RUPD\DFDN©ELoLPGH©VHoLOPLþWLU ÇÖZÜMLÜ LINEER CEBIR ALIÞTIRMALARI Arif Sabuncuoðlu « ÷÷÷÷«««%$6,0««««÷«««6$<)$««c 0KHQGLVOLN«8\JXODPDODUÖQGD«%8/$1,.«0$17,.««)X]]\«/RJLF« :LWK«(QJLQHHULQJ«$UFKLWHFWXUHV 7LPRWK\«-«5RVV«dHYLUHQOHU«(UKDQ«$NÖQ«0HKPHW« .DUDN|VH 0KHQGLVOLN© X\JXODPDODUÔLOH© EXODQÔN© PDQWÔN©NLWDEÔ©7UNoH©GH©YDU©RODQ©SHN©oRN© NLWDEÔQ©ND\QDüÔ©NRQXPXQGDGÔU©%XODQÔN© PDQWÔN©DODQÔQGD©oRN©\|QO©KHP©DNDGHõ PLN©KHP©GH©X\JXODPDOÔ©GHQH\LPOHU©LOH© KD]ÔUODQPÔþ©EX©NLWDS©KHU©\HQL©EDVNÔVÔQGD© \HQLOHQHUHN©NDUþÔPÔ]D©oÔNPÔþWÔU%XODQÔN© PDQWÔN©PDWHPDWLNVHO©PRGHOOHPHGH©]RUOXNõ ODUÔ©RODQ©VLVWHPOHU©LoLQ©X]PDQ©GHQH\LPLQL© o|]PQ© ELU© SDUoDVÔ© \DSPDN© VH]JLVHO© ELULNLPL©NXOODQDELOPHN©JLEL©VWQONOHUH© VDKLSWLU©%XODQÔN©PDQWÔN©YH©NODVLN©WDVDUÔP©VÔUDVÔQGD©NXOODQÔODQ©DGDP D\© RUDQODUÔ© EDNÔPÔQGDQ© ND]DQoODU© VDüOD\DELOPHNWHGLU© %X© GXUXP© ED]Ô©GXUXPODUGD©SDWHQW©LOH©NRUXQPXþ©VRUXQ©o|]POHUL©LoLQ©DOWHUQDWLI© UHWPH\L©EHUDEHULQGH©JHWLUHELOPHNWHGLU©*LWWLNoH©\D\JÔQODþDQ©YH©NDEXO© J|UHQ©EXODQÔN©PDQWÔüÔQ©L\L©KD]ÔUODQPÔþ©ELU©ND\QDNWDQ©|üUHQLOPHVL©EX© NLWDEÔQ© WHPHO© PRWLYDV\RQXGXU8VWDFD© \HUOHþWLULOPLþ©SUREOHPOHU© YH© NRQXODU©\ÔOODU©LoHULVLQGH©WHNUDUOÔ©WDUWÔþPDODU©LOH©NLWDSWD©NHQGLOHULQH©\HU© EXOPXþWXU©%XODQÔN©0DQWÔN©LOH©LOJLOL©NRQXODUÔQ©EWQVHOOLüLQL©ER]PDGDQ© RNXQDELOHFHN©HQ©|QHPOL©ND\QDN©HVHU0DWODE©NXOODQÔPÔQÔQ©GHVWHNOHQGLüL© EX©NLWDS©WDP©ELU©GHUV©NLWDEÔGÔU « ÷÷÷÷«««%$6.,««««÷«««6$<)$«««c 0KHQGLVOLN«YH«ĝVWDWLVWLN«%|OPOHUL«ĝoLQ«/ĝ1((5«&(%ĝ5 $ULI«6DEXQFXRþOX %X©NLWDS©QLYHUVLWHOHULQ©PKHQGLVOLN©YH©ěVWDWLVWLN© E|OPOHULQLQ©ELULQFL©YH\D©LNLQFL©VÔQÔIODUÔQGD© RNXWXODQ©±/LQHHU©&HELU²©GHUVOHULQGH©GHUV©NLWDEÔ© RODUDN©RNXWXODELOHFHN©QLWHOLNWHGLU©0KHQGLVOLN© YH©LVWDWLVWLN©GDOODUÔQGDNL©|üUHQFLOHULQ©LOHUL©VÔQÔIõ ODUGD©RNX\DFDNODUÔ©GHUVOHUGH©LKWL\Do©GX\DFDNODUÔ© WHPHO©NRQXODUÔ©NDSVDPDNWDGÔU©%X©NRQXODU© ID]OD©D\UÔQWÔ\D©JLULOPHGHQ©ROGXNoD©|]©RODUDN© YHULOPLþWLU©.RQXODU©DUDVÔQGDNL©EDüODQWÔODU©WDP© RODUDN©YHULOPLþ©ED]Ô©]RU©LVSDWODU©\DSÔOPDPÔþWÔU© ěVWHNOL©|üUHQFLOHU©EX©LVSDWODUÔ©\D]DUÔQ©PDWHPDWLN© E|OPOHUL©LoLQ©KD]ÔUODGÔüÔ©/LQHHU©&HELU©NLWDEÔQGD©EXODELOLUOHU©+HU©NDYUDPÔQ© DUNDVÔQGDQ©EX©NDYUDPÔ©DoÔNOD\ÔFÔ©\HWHULQFH©|UQHN©NRQXOPXþWXU©+HU©NHVLPLQ© VRQXQD©NRQX\X©NDYUDWPD\D©\|QHOLN©\HWHUOL©VD\ÔGD©DOÔþWÔUPD©NRQXOPXþWXU© %X©DOÔþWÔUPDODUÔQ©WPQQ©o|]POHUL©D\UÔ©ELU©NLWDS©RODUDN©\D\ÔQODQPÔþWÔU© 3UREOHPOHU©NROD\GDQ©]RUD©GRüUX©VÔUDODQPÔþ©VR\XW©SUREOHPOHU©VRQODUD©NRõ QXOPXþWXU©.LWDED©DOÔQDQ©SUREOHPOHU©EX©DODQGDNL©oRN©|]HO©SUREOHPOHUGHQ© oRN©|üUHQFLOHULQ©NROD\FD©DQOD\DELOHFHNOHUL©|üUHQFLOHUH©/LQHHU©&HELU©GHUVLQL© VHYGLUHFHN©YH©LOHUL©VÔQÔIODUGD©RNX\DFDNODUÔ©GHUVOHUH©WHPHO©ROXþWXUDFDN©OLQHHU© « %$6.,'$ QREHO#QREHO\D\LQFRP©õ©ZZZQREHO\D\LQFRP©õ©ZZZQREHON LWDSFRP©õ©ZZZHEDELO\D\LQODULFRP MATEMATİK - İSTATİSTİK *HQHO©0DWHPDWLN©õ©7HNQLN©0DWHPDWLN©õ©ěVWDWLVWLN©õ©2ODVÔOÔN (NRQRPHWUL©õ©0DWHPDWLN©güUHWLPL FHELU©ELOJLOHULQL©GDKD©L\L©NDYUDWDFDN©YH©SHNLþWLUHFHN©WUGH©VRUXODUGÔU©3UREõ OHPOHULQ©VRQXoODUÔ©YH©EX©VRQXoODUÔ©HOGH©HGHUNHQ©\DSÔOPDVÔ©JHUHNHQ©LþOHPOHU© RNX\XFX©\RUPD\DFDN©ELoLPGH©VHoLOPLþWLU 2/$6,/,ý$«*ĝ5ĝÿ««,QWURGXFWLRQWR«3UREDELOLW\ *HRUJH«5RXVVDV« dHYLUL«(GLW|U«ÿDQVOÖ«ÿHQRO÷«*]LQ«<NVHO « ÷÷÷÷«««%$6.,««««÷«««6$<)$«««c ±2ODVÔOÔüD©*LULþ²©EDþOÔNOÔ©EX©NLWDS©EDþWD© LVWDWLVWLN© ROPDN© ]HUH© PDWHPDWLN© Põ KHQGLVOLN©ELOJLVD\DU©ELOLPOHUL©\|QH\OHP© DNWHU\D©HNRQRPHWUL©IL]LN©YH©RODVÔOÔüD© LKWL\Do© GX\DQ© GLüHU© ELOLPOHUGH© RODVÔOÔN© GHUVLQL©LON©NH]©DODQ©YH©PDWHPDWLN©DOW\DSÔVÔ© RODQ©|üUHQFLOHULQ©\DUDUODQDFDüÔ©ELoLPGH© KD]ÔUODQPÔþWÔU©)DUNOÔ©DODQODUD©\|QHOLN©VD\ÔVÔ]© X\JXODPDODUD©DLW©LOJL©oHNLFL©|UQHNOHUL©YH© o|]PO©DOÔþWÔUPDODUÔ©NLWDEÔQ©NRQXODUÔQÔ© GDKD©DQODþÔODELOLU©NÔODUDN©KHP©|üUHQFLOHUH© KHP©GH©GHUVL©YHUHQ©|üUHWLP©HOHPDQODUÔQD© E\N©NROD\OÔN©VDüOD\DFDNWÔU 1ĝ7(/«$5$ÿ7,50$«<g17(0/(5ĝ««4XDOLWDW,YH«5HVHDUFK« $«*XLGH«WR«'HVLQJ«DQG«,PSOHPHQWDWLRQ 6KDUDQ«%«0HUULDP dHYLUL«(GLW|U«6HODKDWWLQ«7XUDQ 6RQ©oH\UHN©\]\ÔOGD©QLWHO©DUDþWÔUPD©\|QWHPOHULQL© NRQX©HGLQHQ©ELUoRN©PDNDOH©YH©NLWDS©\D]ÔOPÔþWÔU©%LU© EDþND©LIDGH\OH©õJQFHO©ELU©SDUDGLJPD©RODUDNõ©QLWHO© DUDþWÔUPD©DNDGHPLN©oHYUHOHUGH©JLGHUHN©|QHP© ND]DQPD\D©EDþODPÔþWÔU©<HQLGHQ©J|]GHQ©JHoLõ ULOPLþ©YH©\D\ÔPD©KD]ÔUODQDQ©EX©NOkVLN©NLWDS©QLWHO© DUDþWÔUPDODUÔQ©GHVHQOHQPHVL©YHULOHULQ©WRSODPDVÔ© DQDOL]©HGLOPHVL©YH©UDSRUODQPDVÔ©KXVXVXQGD©EDþWD© DNDGHPLV\HQOHU©ROPDN©]HUH©EWQ©DUDþWÔUPDFÔODU© LoLQ©ELOJLOHU©YHUHQ©ELU©EDþXFX©ND\QDüÔ©QLWHOLüLQGHGLU©'LüHU©\DQGDQ©QLWHO© DUDþWÔUPD©SDUDGLJPDVÔQÔQ©WHRULN©YH©IHOVHIv©WHPHOOHUL\OH©LOJLOL©RNX\XFX\D© IDUNOÔ©EDNÔþ©DoÔODUÔ©ND]DQGÔUPDVÔ©EDNÔPÔQGDQ©GLNNDWH©GHüHU©ELU©oDOÔþPDGÔU© g]HWOH©EX©NLWDSWD©QLWHO©DUDþWÔUPD©KDNNÔQGD©DUDGÔüÔQÔ]©KHU©þH\L©|]©YH© DQODþÔOÔU©ELU©þHNLOGH©EXODELOLUVLQL]©$\UÔFD©EX©HVHU©\NVHN©OLVDQV©GRNWRUD© WH]©oDOÔþPDODUÔ©\DSDQ©|üUHQFLOHU©LOH©DUDþWÔUPD©SURMHOHUL©KD]ÔUOD\DQODU©LoLQ© ELU©UHKEHU©QLWHOLüL©WDþÔPDNWDGÔU « ÷÷÷÷«««%$6.,'$1«d(9ĝ5ĝ««««÷«««6$<)$«c 2/$6,/,.««352%$%,/,7<«÷6FKDXP¶V 6H\PRXU«/LSVFKXW]«÷«0DUF«/LSVRQ dHYLUL«(GLW|U«7DKLU«.KDQL\HY 6ÔQDY©6RUXODUÔ©=RU©PX©*HOL\RU"©'HUVOHUL©PL© .DoÔUGÔQÔ]"©=DPDQÔQÔ]©PÔ©<RN"©d|]PO© 6RUXODU©PÔ©$UÔ\RUVXQX]"©ýDQVOÔVÔQÔ]©oQN© 6FKDXP©6HULVL©YDU©©PLO\RQGDQ©ID]OD©|üõ UHQFL©GHUVOHUGH©YH©VÔQDYODUGD©EDþDUÔOÔ©ROPDN© LoLQ©\DUGÔPFÔ©RODUDN©6FKDXP´D©JYHQGL© 6FKDXP© KHU© NRQXGD© \NVHN© EDþDUÔQÔQ© YH© GDKD© KÔ]OÔ© |üUHQPHQLQ© DQDKWDUÔGÔU© +HU©NLWDSWD©EWQ©NRQX©ELOJLOHUL©NRQX\D© J|UH©NROD\©WDNLS©HGLOLU©ELU©þHNLOGH©YHULOLU© $\UÔFD©\]OHUFH©|UQHN©o|]PO©SUREOHP© YH©X\JXODPDOÔ©DOÔþWÔUPD©GD©HGLQLUVLQL]©%X©6FKDXP©NLWDEÔ©VL]H « ÷÷÷÷«««%$6.,'$1«d(9ĝ5ĝ««««÷«««6$<)$«««c 1h0(5ĝ.«$1$/ĝ=÷6FKDXP¶V )«6FKHLG«dHYLUHQ«+LOPL«+DFÖVDOLKRþOX 6FKDXP´V©VHULVLQGH©\HU©DODQ©EX©NLWDS©VHULQLQ© GLüHU©oDOÔþPDODUÔQGDNL©DQODWÔP©WHNQLüLQH©X\JXQ© RODUDN© oDOÔþÔOPÔþWÔU© 1PHULN© DQDOL]LQ© KHGHIL© NDUPDþÔN©SUREOHPOHUH©VDGHFH©EDVLW©DULWPHWLN© LþOHPOHU©NXOODQDUDN©o|]POHU©EXOPDNWÔU©%X©NLWDS© /LQHHU©&HELU©YH©'LIHUHQVL\HO©+HVDS©GHUVOHULQGH© NXOODQÔODELOHFHN©WP©WHPHO©NRQXODUÔ©LoHULU©'HUV© NLWDSODUÔQD©\DUGÔPFÔ©\D©GD©EDüÔPVÔ]©oDOÔþPD©\DSõ PDN©LVWH\HQOHU©LoLQ©UHKEHU©QLWHOLüL©WDþÔPDNWDGÔU© .LWDSWD©©o|]OPþ©SUREOHP©EXOXQPDNWDGÔU© 'DKD©L\L©QRW©WXWPDN©LoLQ©PNHPPHO©ELU©\DUGÔPFÔ©ND\QDN©RODQ©EX©oDOÔþPD© |üUHQFLOHUH©HWNLQ©SUREOHP©o|]PH©\|QWHPOHULQL©|üUHWPHNWHGLU ©©DGHW©WDPDPÔ©o|]PO©SUREOHP ©6RQOX©YH©VD\ÔODELOLU©NPHOHU©ELQRP©NDWVD\ÔODUÔ©RODVÔOÔN©DNVL\RPODUÔ© YH©GDKD©ELUoRN©NRQXGD©HNVWUD©SUDWLN©LPNkQÔ ©2ODVÔOÔN©GHUVOHULQGH©NXOODQÔODQ©EWQ©DQD©GHUV©NLWDSODUÔ©LoLQ©GHVWHN© YHULU'HUV©QRWODUÔQÔ]OD©WDPDPHQ©X\XPOXGXU©ELOPHQL]©JHUHNHQ©WP© |QHPOL©JHUoHNOHUL©YXUJXODU©dDOÔþPD©VUHQL]L©NÔVDOWPDN©YH©VÔQDYODUGD© \NVHN© SXDQ© DOPDN© LoLQ© 6FKDXP© 6HULVL© NXOODQÔQ© õ© 6FKDXP© 6HULVL© ¯© 3UREOHP©d|]PO « ÷÷÷«««%$6.,««««÷«««6$<)$««c 2.8//$5'$«g/d0(«9(«'(ý(5/(1'ĝ50(«<g17(0/(5ĝ « ÷÷÷÷«««%$6.,'$1«d(9ĝ5ĝ«««««6$<)$«««c 6DWÖOPÖĀ«7HNLQGDO %X©NLWDS©|OoPH©YH©GHüHUOHQGLUPH©DODQÔQÔQ© WHPHO©NRQXODUÔQÔ©NDSVDPDNWDGÔU©.RQXODUÔQ© VHoLPL©YH©G]HQOHQPHVLQGH©<NVHN©güUHWLP© .XUXOX©YH©0LOOL©(üLWLP©%DNDQOÔüÔQÔQ©oHUoHYH© SURJUDPÔ©J|]©|QQH©DOÔQPÔþWÔU©2NXOODUGD©gOoõ PH©YH©'HüHUOHQGLUPH©<|QWHPOHUL©NLWDEÔQGDNL© NRQXODU©ELU©\|QGHQ©KHPHQ©KHU©RNX\XFXQXQ© NROD\FD©L]OH\HELOHFHüL©NDGDU©VDGH©GLüHU©\|QGHQ© GH©|üUHWLPLQ©ELU©SDUoDVÔ©RODUDN©EX©GHUVL©DODQ© YH\D©|OoPH©YH©GHüHUOHQGLUPH©|üUHQLPL©J|õ UHQOHU©LoLQ©\DUDUOÔ©RODELOHFHN©ELoLPGH©NDSVDPOÔ© WXWXOPXþWXU©.RQXODU©LoLQGH©VXQXODQ©LONHOHU©YH© \|QWHPOHUH©LOLþNLQ©X\JXODPDODU©\DSÔOPÔþ©YH© X\JXODPDODUÔQ©DQODþÔOPDVÔ©LoLQ©oRN©VD\ÔGD©|UQHüH©\HU©YHULOPLþWLU©$\UÔFD©DQÔODQ© NLWDSWD©VXQXODQ©WP©|OoPH©YH©GHüHUOHQGLUPH©\|QWHPOHULQLQ©VWQ©YH©]D\ÔI© WDUDIODUÔ©GD©J|VWHULOPLþWLU©(OGHNL©NLWDEÔQ©JHUHN©NRQXODU©LWLEDUÔ\OD©JHUHN©RQODUÔQ© LþOHQLþ©ELoLPOHUL©LWLEDUÔ\OD©KHP©|üUHQFLOHU©LoLQ©KHP©|üUHWPHQOHU©LoLQ©KHP©GH© |OoPH©YH©GHüHUOHQGLUPH©DODQÔQGD©oDOÔþDQ©ELOLP©LQVDQODUÔ©YH©DUDþWÔUPDFÔODU© LoLQ©\DUDUOÔ©ELU©NLWDS©ROPDVÔ©DPDoODQPÔþWÔU %X©NLWDS©HüLWLP©IDNOWHOHULQLQ©LON|üUHWLP© PDWHPDWLN©YH©IHQ©ELOJLVL©HüLWLPL©DQDELOLP© GDOODUÔQGD©|üUHQFLOHULPL]H©RNXWXOPDNWD©RODQ© ěVWDWLVWLN©2ODVÔOÔN©,©YH©0DWHPDWLN©9©GHUV©QRWõ ODUÔQÔQ©LoHUGLüL©NRQXODU©J|]©|QQH©DOÔQDUDN© KD]ÔUODQPÔþWÔU©ěþOHQLþ©VÔUDVÔQGD©NRQXODUÔQ© PPNQ© ROGXüXQFD© DQODþÔOÔU© RODELOPHVL© LoLQ©WDQÔP©YH©WHRUHPOHU©NRQX©DUDODUÔQGD©YH© VRQODUÔQGD©\HWHUOL©VD\ÔGD©o|]OPþ©SUREõ OHPOHU©\DUGÔPÔ\OD©WDNYL\H©HGLOPLþWLU©.LPL© SUREOHPOHULQ© o|]P© VÔUDVÔQGD© o|]P© PDQWÔüÔ©|üUHQFL\H©\RO©J|VWHULFL©ELU©þHNLOGH© DoÔNODQPÔþWÔU©%XQXQ©QHGHQL©PDWHPDWLNWH©WHPHO©GþQFH©YH©\RUXP© PDQWÔüÔQÔQ©L\L©DQODþÔOÔU©ROPDVÔQÔQ©NDUþÔODþÔODFDN©RODQ©GLüHU©SUREOHPOHU© LoLQ©ILNLU©\UWPH\H©\DUGÔPFÔ©ROPDVÔGÔU « ÷÷÷÷««*(1ĝÿ/(7ĝ/0ĝÿ«*g='(1«*(dĝ5ĝ/0ĝÿ««%$6.,«««««;«««« « ÷÷÷;«««%$6.,««««÷«««6$<)$««c 2/$6,/,. +VH\LQ«'HPLU 6$<)$«««c QREHO#QREHO\D\LQFRP©õ©ZZZQREHO\D\LQFRP©õ©ZZZQREHON LWDSFRP©õ©ZZZHEDELO\D\LQODULFRP MATEMATİK - İSTATİSTİK *HQHO©0DWHPDWLN©õ©7HNQLN©0DWHPDWLN©õ©ěVWDWLVWLN©õ©2ODVÔOÔN (NRQRPHWUL©õ©0DWHPDWLN©güUHWLPL 2/$6,/,.«9(«ĝ67$7ĝ67ĝý(«*ĝ5ĝÿ«÷0KHQGLVOHU«YH«)HQFLOHU«LoLQ«« ,1752'8&7,21«72«352%$%,/,7<«$1'«67$7,67,&6«IRU«(QJLQHHUV« DQG«6FLHQWLVW RODQ©5REHUW©)©'H9HOOLV©gOoHN©*HOLþWLUPH©.XUDP©YH©8\JXODPDODUÔ©NLWDEÔQÔ© RQODUFD©\ÔOÔQ©GHQH\LPL\OH©JHOLþWLUPLþWLU©g]HOOLNOH©SVLNRORMLN©WHVWOHUH©\|QHOLN© $%'´©GH©PHUNH]OHQHQ©XOXVODUDUDVÔ©DNDGHPLN©YH©X\JXOD\ÔFÔ©X]PDQ©oHYUHõ VLQGH©RWRULWH©RODUDN©NDEXO©J|UHQ©VDüOÔN©YH©NLþLOLN©SVLNRORMLVL©DODQÔQGD©|OoPH© DUDoODUÔQÔ©JHOLþWLUHQ©X\JXOD\DQ©YH©GDüÔWDQ©NXUXPODUGDNL©GHQH\LPOHUL©|OoHN© JHOLþWLUPHGH©DGÔP©DGÔP©UHIHUDQV©oHUoHYHVL©JHOLþWLULOPHVLQH©NDWNÔ©VDüODPÔþWÔU© %X©\]GHQGLU©NL©7UNoH\H©oHYULOGLüL©]DPDQGD©NLWDED©\DSÔODQ©XOXVODUDUDVÔ©DWÔI© VD\ÔVÔ©\DNODþÔN©RODUDN©RQ©ELQGLU©%|\OHFH©JQP]GH©ELUELULQGHQ©ROGXNoD©X]DN© FRüUDI\DODUGD©SHN©oRN©IDUNOÔ©GLVLSOLQGH©|OoHN©JHOLþWLUPH©DPDFÔ\OD©oDOÔþPDODU© \UWHQ©X]PDQODUÔQ©EDþXFX©ND\QDüÔ©QLWHOLüLQL©NRUXPDNWDGÔU 6KHOGRQ«0«5RVV«« dHYLUL«(GLW|U«6DOLK«dHOHELRþOX««5HĀDW«.DVDS %X©NLWDS©JQON©LVWDWLVWLNVHO©SUREOHPOHULQ© o|]PQGH©RODVÔOÔN©NXUDPÔQÔQ©QDVÔO©X\õ JXODQDELOHFHüLQL©J|VWHUHQ©ELU©\DSÔ©RUWD\D© NR\PDNWDGÔU©0KHQGLVOHU©YH©IHQFLOHU©LoLQ© X\JXODPDGD©VÔNOÔNOD©NXOODQÔODQ©LVWDWLVWLNVHO© \DSÔQÔQ©DQODþÔOPDVÔ©EDNÔPÔQGDQ©JHQLþ©ELU© \DNODþÔP©VHUJLOHPHNWHGLU©.LWDS©|]HOOLNOH© PKHQGLVOLN©ELOJLVD\DU©ELOLPL©PDWHPDWLN© LVWDWLVWLN©LOH©GRüD©ELOLPOHUL©|üUHQFLOHULQLQ© LVWDWLVWLN©YH©RODVÔOÔN©JLULþ©GHUVOHUL©LoLQ©|QHõ ULOPHNWHGLU gOoHN©JHOLþWLUPH©DGÔP©DGÔP©YH©KHU©DGÔPÔ©L\L©SODQODQPDVÔ©JHUHNHQ©ELU©LþWLU© .LWDSWD©|OoHN©JHOLþWLUPH\L©HQ©WHPHO©G]H\GHQ©þX©DQ©KkOLKD]ÔUGD©NODVLN©WHVW© NXUDPÔ©YH©PRGHUQ©WHVW©NXUDPÔQÔQ©HQ©LOHUL©G]H\©RODUDN©NDEXO©HGLOHQ©LþOHPõ OHULQH©NDGDU©JHWLUPHNWHGLU©7HPHO©|OoHN©JHOLþWLUPH©VUHoOHULQLQ©\DQÔQGD© |OoHN©JHOLþWLUPH©VRQUDVÔQGD©|OoHüLQ©WDþÔPDVÔ©JHUHNHQ©NXOODQÔþOÔOÔN©JHoHUOLN© YH©JYHQLUOLN©NDQÔWODUÔQÔQ©QDVÔO©DUDQDFDüÔQD©\|QHOLN©LSXoODUÔ©VXQDQ©NLWDS© D\UÔFD©\DSÔVDO©HþLWOLN©PRGHOOHPHOHUL©YH©PDGGH©WHSNL©NXUDPÔ©KDNNÔQGD©GD© NDSVDPOÔ©D\GÔQODWÔFÔ©ELOJLOHU©VXQPDNWDGÔU©.LWDS©|OoHN©JHOLþWLUPH©VUHFLQGH© NXUDPVDO©WHPHOLQ©|QHPLQL©GHWD\OÔ©ELU©þHNLOGH©DQODWDUDN©WLSLN©KDWDODUÔQ©|QQH© JHoPH©NRQXVXQGD©GHWD\OÔ©ELOJLOHU©LoHUPHNWHGLU©%X©JoO©|]HOOLNOHUL\OH©|OoHN© JHOLþWLUPH\L©NROD\©DQODþÔOÔU©YH©]HYNOL©ELU©VUHo©KkOLQH©JHWLUPHNWHGLU « ÷÷÷÷«««%$6,0'$1«d(9ĝ5ĝ««««÷«««6$<)$«««c 2572*21$/«32/ĝ120/$5«9(«8<*8/$0$«$/$1/$5,««*$00$««)21.6ĝ÷ <218«9(«&(%ĝ56(/«'(1./(0/(5 $OL«(UGRþDQ « ÷÷÷÷«««%$6.,'$1«d(9ĝ5ĝ««««÷««««6$<)$««c « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c 3/$1/$0$'$«9(«&2ý5$)<$'$«7(0(/«ĝ67$7ĝ67ĝ.«9(«0(.$16$/« ĝ67$7ĝ67ĝ. 257$2.8//$5'$«0$7(0$7ĝ.«gý5(7ĝ0ĝ««7HDFKLQJ«6HFRQGDU\« 0DWKHPDWLFV« .«0HUW«dXEXNoX 'DYLG«5RFN«'RXJODV«.«%UXPEDXJK«dHYLUL«(GLW|U«6DYDĀ« %DĀWUN«=XKDO«<ÖOPD]«+O\D«.ÖOÖo %X©NLWDEÔQ©\D]ÔOÔþ©QHGHQL©EDþWD©SODQODPD©YH©FRüUDI\D© ROPDN©]HUH©PHNDQVDO©ELOLPOHU©RODUDN©WDQÔPODQDELõ OHFHN©DODQODUGD©\D\JÔQOÔNOD©NXOODQÔODQ©NODVLN©LVWDWLVWLN© YH©PHNDQVDO©LVWDWLVWLN©\|QWHPOHULQLQ©\DOÔQ©ELU©GLO©YH© G|UW©LþOHP©LOH©VÔQÔUOÔ©DULWPHWLN©ELOJLVL©LOH©RNX\XFX\D© VXQXOPDVÔGÔU©.LWDS©\D]ÔOÔUNHQ©´L©DþNÔQ©\DEDQFÔ© ND\QDNWDQ©\DUDUODQÔOPÔþ©YH©KHU©WHNQLN©VRQ©GHUHFH© VDGH©ELU©GLOOH©DQODWÔOPÔþWÔU©$QODWÔODQ©WHNQLNOHULQ© X\JXODPDGD©UDKDWOÔNOD©NXOODQÔODELOPHVLQH©\|QHOLN© RODUDN©NLWDS©NDSVDPÔQGDNL©KHU©\|QWHP©KLoELU© EDVDPDN©DWODQPDGDQ©o|]OPþ©VD\ÔVDO©|UQHNOHUOH© GHVWHNOHQPLþWLU©%X©|UQHNOHULQ©o|]P©LoLQ©KLoELU©|]HO©ELOJLVD\DU©\D]ÔOÔPÔ© JHUHNPHPHNWHGLU.LWDEÔQ©KHGHI©NLWOHVLQLQ©ELU©E|OPQ©EDþWD©SODQODPD©YH© FRüUDI\D©ROPDN©]HUH©PHNDQVDO©ELOLPOHUGH©|üUHQLP©J|UHQ©OLVDQV©YH©OLVDQVVW© G]H\GHNL©|üUHQFLOHU©ROXþWXUPDNWDGÔU©.LWDSWDNL©|UQHNOHULQ©WDPDPÔ©±PHNDQ²© RGDNOÔGÔU©YH©KHGHI©NLWOHQLQ©LOJL©DODQÔQD©X\JXQ©RODUDN©NXUJXODQPÔþWÔU©$\UÔFD© PHNDQVDO©DQDOL]OHULQ©LþOHQGLüL©VRV\DO©IHQ©YH©EHþHUL©ELOLPOHUGH©RNXWXODQ©GHUVOHU© LoLQ©GH©EX©NLWDS©SRWDQVL\HO©ND\QDN©NLWDS©QLWHOLüLQGHGLU©.LWDEÔQ©\D]ÔPÔQGD© NXOODQÔODQ©VDGH©GLO©YH©KLoELU©EDVDPDN©DWODQPDGDQ©DNWDUÔODQ©VD\ÔVDO©|UQHNOHU© VD\HVLQGH©EX©NLWDS©QLYHUVLWHQ©\ÔOODU©|QFH©PH]XQ©ROPXþ©NDPX©YH©|]HO©VHNõ W|UGH©PHNkQVDO©YH©LVWDWLVWLNVHO©DQDOL]OHU©UHWHQ©X\JXODPDFÔODU©LoLQ©GH©DUDQDQ© YH©|]OHQHQ©ELU©EDþYXUX©NLWDEÔ©RODFDNWÔU.LWDS©NODVLN©LVWDWLVWLN©\|QWHPOHULQLQ© PHNkQVDO©DQDOL]OHUH©\|QHOLN©RODUDN©\HQLGHQ©HOH©DOÔQGÔüÔ©DODQ©RODQ©±PHNDQVDO© LVWDWLVWLN²©DoÔVÔQGDQ©GD©7UNL\H´GH©ELU©LON©ROPD©|]HOOLüLQL©WDþÔPDNWDGÔU©.LWDSWD© DNWDUÔODQ©±PHNDQVDO©LVWDWLVWLN²©\|QWHPOHULQLQ©WDPDPÔQD©\DNÔQÔ©FRüUDIL©ELOJL© VLVWHPOHULQH©\|QHOLN©\D]ÔOÔPODUÔQ©VWDQGDUW©SDUoDODUÔ©KDOLQH©JHOPLþVH©GH©EX© \|QWHPOHULQ©DQODWÔOGÔüÔ©7UNoH©ELU©NLWDS©\D\ÔPODQPDPÔþWÔU©'ROD\ÔVÔ\OD©EX© NLWDS©EX©DODQGD©VÔNOÔNOD©NXOODQÔODQ©\|QWHPOHUL©NXOODQÔFÔODUÔ©LoLQ©ELU©±NDUD©NXWX²© ROPDNWDQ©oÔNDUWPD©JD\HVLQL©GH©WDþÔPDNWDGÔU « d(9ĝ5ĝ'( 260$1/,/$5'$«%ĝ/ĝ0«9(«7(.12/2-ĝ (GLW|U«<DYX]«8QDW « ÷÷÷÷«««%$6.,««««÷«««6$<)$«&ĝ/7/ĝ««c gý5(1&ĝ«(ýĝ7ĝ0ĝ1ĝ1«'(ý(5/(1'ĝ5ĝ/0(6ĝ««(GXFDWLRQDO«$VVHVV÷ PHQW«RI«6WXGHQWV ««$QWKRQ\«-«1LWNR««6XVDQ«0«%URRNKDUW« dHYLUL«(GLW|UOHUL«%D\UDP«%ÖoDN«6HUNDQ«g]HO«0XVWDID« %DKDU « d(9ĝ5ĝ'( « ÷÷÷÷««%$6.,«««««;««««6$<)$«««c g/d(.«*(/ĝÿ7ĝ50(««6&$/(«'(9(/230(17 5((/«$1$/ĝ=«dg=h0/h«352%/(0/(5 5REHUW«)«'H9HOOLV« dHYLUL«(GLW|U«7DUÖN«7RWDWQ 1HĀH«'HUQHN .LWDEÔQ©DPDFÔ©PDWHPDWLN©|üUHQFLOHULQH©/HEHVTXH© |Oo©NDYUDPÔQÔ©WDQÔWPDNWÔU©%X©NDSVDPGD©/HEHVTXH© |OoOHELOLU©NPH©YH©IRQNVL\RQ©NDYUDPODUÔ©LOH©LOJLOL©|QHPOL© |]HOOLNOHUL©RUWD\D©NR\DQ©SUREOHPOHU©VÔUDODQPÔþWÔU©$\UÔFD© /HEHVTXH©LQWHJUDOL©LOH©LOJLOL©|QHUPH©YH©|]HOOLNOHUL©LoHUHQ© SUREOHPOHU©LOH©|]HO©%DQDFK©X]D\ODUÔQÔQ©|]HOOLNOHULQL© LQFHOH\HQ©SUREOHPOHU©YHULOPLþWLU .LþLOLN©|UQWOHULQL©EHOLUOHPHN©YDU©ROXþXQGDQ©EX©\DQD© SVLNRORMLQLQ©XüUDþODUÔ©DUDVÔQGD©ROPXþWXU©%DþODQJÔoWD© ]HNk\Ô©GHüHUOHQGLUPH\H©\|QHOLN©RUWD\D©oÔNDQ©SVLNRORMLN© WHVWOHU©JQP]GH©VDGHFH©SVLNRORMLQLQ©GHüLO©VDüOÔN© VRV\DO©YH©HüLWLP©ELOLPOHUL©JLEL©ELUELULQGHQ©ROGXNoD© IDUNOÔ©DODQODUGD©oDOÔþDQ©X]PDQODUÔQ©GD©RGDüÔQGD©\HU© DOPDNWDGÔU©%X©VHEHSOH©GH©7UNoHGH©|OoHN©JHOLþWLUPH\L© DQODWDQ©HVHUOHULQ©YDU©ROPDVÔ©|QHP©WDþÔPDNWDGÔU©<XUW© GÔþÔQGD©|OoHN©JHOLþWLUPH\L©DQODWDQ©|QHPOL©LVLPOHUGHQ© « ÷÷÷÷«««%$6.,«««6$<)$«««c QREHO#QREHO\D\LQFRP©õ©ZZZQREHO\D\LQFRP©õ©ZZZQREHON LWDSFRP©õ©ZZZHEDELO\D\LQODULFRP MATEMATİK - İSTATİSTİK *HQHO©0DWHPDWLN©õ©7HNQLN©0DWHPDWLN©õ©ěVWDWLVWLN©õ©2ODVÔOÔN (NRQRPHWUL©õ©0DWHPDWLN©güUHWLPL 5((/«'(ýĝÿ.(1/ĝ«)21.6ĝ<21/$5«7(25ĝ6ĝ 6$<,6$/«$1$/ĝ=«9(«0h+(1'ĝ6/ĝ.«8<*8/$0$/$5, )HUKDG«+«1DVLERY ĝUIDQ«.DUDJ|] 5')7© FLGGL© PDWHPDWLüH© YH© RQXQ© ELOLPVHO© X\JXODPDODUÔQD© WHPHO© ROXþWXUDQ© ELU© ELOLP© GDOÔGÔU© %X© WHRULQLQ© UHVPv© \D]ÔOÔ© ROXþXPX© ´GHQ©%©5LHPDQQ©EDþOD\DUDN©oRN©GHULQ© oDOÔþPDODUOD© PNHPPHO© JHQLþ© NDSVDPõ OÔ© GHULQ© DQODPOÔ© ELU© WHRUL© KDOLQH© JHOPLþWLU© 6XQGXüXPX]© EX© NLWDSWD© 5')7´QLQ© WDULKL© JHOLþLPL©WDP©PIUHGDWÔ©ELOLPOHU©DUDVÔQGDNL© \HUL© 0DWHPDWLN© $QDOL]õ5')7õ)RQNVLRQHO© $QDOL]õ7RSRORML©QLYHUVLWHOHUGH©HüLWLPLQH© YHULOHQ© \HU© YH© GHüHU© LON© GHID© DoÔNODQÔUNHQ© GLüHU©ELOLP©GDOODUÔ©LOH©LOLþNLVL©DUDODUÔQGD©RODQ©RUWDN©YH©IDUNOÔ©WDUDIODUÔ© LQFHOHQPLþWLU© .LWDSWD© NPHOHULQ© YH© IRQNVL\RQODUÔQ© |OoP© YH© \DSÔ© WHRULVL©oHþLWOL©WUHY©LQWHJUDO©NDYUDPODUÔ©RUWRJRQDO©VHULOHU©YH©\DNÔQõ VDNOÔN© SUREOHPOHUL© $SSURNVLPH© \DNODþÔP© WHRULVL©'HVNULSWLY© WHRUL© YG©KDNNÔQGD©NDSVDPOÔ©ELOJLOHU©YHULOPLþWLU©%X©NLWDEÔQ©QLYHUVLWHOHULQ© PDWHPDWLN©IL]LN©HOHNWULNõHOHNWURQLN©YG©E|OP©|üUHQFLOHUL©YH©\NVHN© OLVDQV©|üUHQFLOHUL©LoLQ©GHüHUOL©ELU©ND\QDN©EX©NRQXGD©GHUV©YHUHQ©YH© NHQGL©oDOÔþPDODUÔQGD©NXOODQDQ©GHüHUOL©KRFDODUÔPÔ]©LoLQ©NDSVDPOÔ©YH© ID\GDOÔ©ELU©GRNPDQ©RODFDüÔQD©LQDQÔ\RUXP 6D\ÔVDO©$QDOL]©YH©0KHQGLVOLN©8\JXODPDODUÔ©NLWDEÔ© PKHQGLVOLNWH©NDUþÔODþÔODQ©SUREOHPOHULQ©o|]PQGH© \D\JÔQ©RODUDN©NXOODQÔODQ©VD\ÔVDO©\|QWHPOHUL©VDGH© ELU©VOXSOD©DQODWPDNWDGÔU©3UREOHP©o|]PQGH© ELOJLVD\DU©NXOODQÔPÔQÔQ©JLWWLNoH©DUWPDVÔ©QHGHQL\OH© VD\ÔVDO©\|QWHPOHU©NROD\©DQODþÔOÔU©WDU]GD©YH©DOJRULWPLN© ELU©\DSÔGD©VXQXOPXþ©NRQXODU©IDUNOÔ©PKHQGLVOLN© GDOODUÔQGDQ©|UQHNOHUOH©DoÔNODQPÔþWÔU©güUHQFLQLQ© SUDWLN©\DSDUDN©DQODPDVÔQÔ©NROD\ODþWÔUPDN©YH©JHUoHN© PKHQGLVOLN©SUREOHPOHULQH©X\JXODPD©\HWHQHüLQL© JHOLþWLUPHN©LoLQ©KHU©NRQX\OD©LOJLOL©oRN©VD\ÔGD©VRUX©YH©PKHQGLVOLN©SUREOHPL© VXQXOPXþWXU©$\UÔFD©RNX\XFX\D©SURJUDP©\D]PD©YH©PHYFXW©\D]ÔOÔPODUÔ©HWNLQ© NXOODQPD©EHFHULVL©ND]DQGÔUPDN©LoLQ©E|OP©VRQODUÔQD©|UQHN©SURJUDPODU©YH© VRUXODU©LODYH©HGLOPLþWLU©/LVDQV©YH©<NVHN©/LVDQV©VHYL\HVLQGH©PDNLQH©HOHNWURQLN© LQþDDW©YH©GLüHU©PKHQGLVOLN©GDOODUÔQGDNL©|üUHQFLOHU©\DQÔQGD©EX©PKHQGLVOLN© GDOODUÔQGD©oDOÔþDQODUD©YH©SURJUDPFÔODUD©GD©\DUDUOÔ©ELU©HVHU©RODUDN©\D]ÔOPÔþWÔU© <D]DU©ěUIDQ©.$5$*g=©8OXGDü©hQLYHUVLWHVL©0DNLQH©0KHQGLVOLüL©%|OPQGH© SURIHV|U©RODUDN©J|UHY©\DSPDNWDGÔU©$NÔþNDQODU©PHNDQLüL©YH©X\JXODPDODUÔ© KHVDSODPDOÔ©DNÔþNDQODU©GLQDPLüL©&)'©YH©LOJLOL©NRQXODUGD©DUDþWÔUPDODU©\DSDQ© \D]DUÔQ©EX©DODQODUGD©XOXVDO©YH©XOXVODUDUDVÔ©oRN©VD\ÔGD©\D\ÔQÔ©PHYFXWWXU « ÷÷÷÷«««%$6.,«««÷«««6$<)$««c « ÷÷÷÷««*g='(1«*(dĝ5ĝ/0ĝÿ««%$6,0««««÷«««6$<)$««c 6$<,6$/«<g17(0/(5«9(«0$7/$%«8<*8/$0$/$5, 5ĝ6.«<g1(7ĝ0ĝ1ĝ1«7(0(//(5ĝ«9(«6ĝ*257$&,/,.««3ULQFLSOHV«RI« 5LVN«0DQDJHPHQW«DQG«,QVXUDQFH« *HRUJH«(«5HMGD««0LFKDHO«0F1DPDUD dHYLUL«(GLW|U«(ULĀDK«$UÖFDQ 1XUKDQ«.DUDERþD %X©NLWDSWD©VD\ÔVDO©\|QWHPOHUH©QHGHQ©JHUHN© GX\XOGXüX©LOH©LOJLOL©DoÔNOD\ÔFÔ©ELOJL©YHULOGLNWHQ© VRQUD©WP©\|QWHPOHUGH©NDUþÔODþÔODQ©VD\Ôõ VDO©KDWDODU©NRQXVX©LQFHOHQPLþWLU©0$7/$%© \D]ÔOÔP©SDNHWL©LOH©oDOÔþÔODQ©NLWDSWD©VD\ÔVDO© \|QWHPOHULQ©DQODWÔOGÔüÔ©E|OPOHULQ©JLULþ©NÔVPÔQGD©|QFHOLNOH©NRQX\OD©LOJLOL© WHPHO©ELOJLOHU©YHULOPLþWLU 'LüHU©E|OPOHU©ER\XQFD 'RüUXVDO©HþLWOLNOHU©YH©VLVWHPOHU 'RüUXVDO©ROPD\DQ©HþLWOLNOHU©YH©VLVWHPOHU g]GHüHU ěQWHUSRODV\RQ (üUL©X\GXUPD 7UHY ěQWHJUDO %DþODQJÔo©GHüHU 6ÔQÔU©GHüHU©SUREOHPOHULQLQ©o|]P©LoLQ©NXOODQÔODQ©VD\ÔVDO©\|QWHPOHU©DQODõ WÔODUDN©GHüLþLN©PKHQGLVOLN©SUREOHPOHULQLQ©o|]PQGH©EX©\|QWHPOHULQ© SUREOHPOHUH©QDVÔO©X\JXODQDFDüÔ©DoÔNODQPÔþWÔU « d(9ĝ5ĝ'( 6$<,6$/«(/(.7521ĝ. 0«.D\D«<D]JDQ 6D\ÔVDO©(OHNWURQLN©VRQ©õ©\ÔOGÔU©HOHNWURQLN© PKHQGLVOLüL©HüLWLPLQLQ©WHPHO©WDþODUÔQGDQ© ELULQL©ROXþWXUX\RU©$\UÔFD©EX©NRQX©JQPõ ]Q©HQ©DNWLI©NRQXODUÔQGDQ©ELUL©+HU©JHoHQ© JQ©EX©DODQGD©\HQL©ELU©JHOLþPH©J|]O\RUX]© %LOJLVD\DU© WHOHIRQ© WHOHYL]\RQ© LQWHUQHW© J|UVHO©RUWDP©JLEL©WHNQRORMLOHU©JLGHUHN©VDõ \ÔVDOODþDUDN©EWQOHþHUHN©NoOHUHN©\HQL© \HWHQHNOHU©ND]DQDUDN©JQON©\DþDPÔPÔ]GD© GDKD© E\N© ELU© \HU© DOÔ\RU© %X© QLWHOLüL\OH© VD\ÔVDO©X\JXODPDODU©HOHNWURQLN©WHNQRORMLõ VLQLQ©SDUODN©\ÔOGÔ]Ô©ěþWH©HOLQL]GHNL©NLWDSWD© EX©LNL©ER\XW©J|]©|QQH©DOÔQPDNWDGÔU©%LU©\DQGDQ©NRQXQXQ©NXUDPVDO© WHPHOOHULQLQ©|]HWOHQPHVLQH©GLüHU©\DQGDQ©JQFHO©WHNQRORMLN©G]H\GHNL© X\JXODPDODUD©\|QHOHQ©ELU©\DNODþÔP©L]OHQPHNWHGLU©9HULOHQ©oRN©VD\ÔGDNL© |UQHN© |]HOOLNOH© |üUHQFLOHULQ© NRQX\X© YH© X\JXODPD© DODQÔQÔ© GDKD© L\L© NDYUDPDVÔQD©\DUGÔPFÔ©ROPDNWDGÔU©6D\ÔVDO©(OHNWURQLN´LQ©EX©NRQXGDNL© GHUV©NLWDSODUÔQGDQ©|QHPOL©ELU©IDUNÔ©JQP]GH©ELU©PKHQGLV©DGD\ÔQÔQ© LOJLVLQL©oHNHELOHFHN©õYH\D©oHNPHVL©JHUHNHQõ©ELUoRN©NRQX\D©±(N©%LOJL²© E|OPOHULQGH©\HU©YHULOPHVLGLU©$ULVWR©PDQWÔüÔQGDQ©NXDQWXP©IL]LüLQH© 2UWD©dDü©þLIUHOHULQGHQ©%LOJL©dDüÔ©NDYUDPODUÔQD©NDGDU©ELUoRN©oDüUÔþÔP© JHQo©D\GÔQODUÔPÔ]©LoLQ©XIXN©DoÔFÔ©RODFDNWÔU « ÷÷÷÷«««%$6.,««««;«««6$<)$«««c 621/8«(/(0$1/$5««$«)LUVW«&RXUVH«LQ«)LQLWH«(OHPHQWV )LVK«%HO\WVFKNR dHYLUL«(GLW|U«%DEU«'HOLNWDĀ « d(9ĝ5ĝ'( « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c QREHO#QREHO\D\LQFRP©õ©ZZZQREHO\D\LQFRP©õ©ZZZQREHON LWDSFRP©õ©ZZZHEDELO\D\LQODULFRP MATEMATİK - İSTATİSTİK *HQHO©0DWHPDWLN©õ©7HNQLN©0DWHPDWLN©õ©ěVWDWLVWLN©õ©2ODVÔOÔN (NRQRPHWUL©õ©0DWHPDWLN©güUHWLPL 626<$/«%ĝ/ĝ0«$5$ÿ7,50$/$5,1'$«0(7$÷$1$/ĝ=«8<*8/$0/$5,« «$SSOLHG«0HWD÷$QDO\VLV«IRU«6RFLDO«6FLHQFH«5HVHDUFK 672.ĝ20(75ĝ 0HWLQ«*U«+D\UL«<DOoÖQ 1RHO«$«&DUG« dHYLUHQOHU«<XQXV«ÿDKLQND\DVÖ««+DPLGH«ÿDKLQND\DVÖ 0KHQGLVOLNWH© SURVHV© WDVDUÔPÔ© \DSÔOÔUNHQ© YH\D©LþOHWPHGHNL©ELU©WHVLVLQ©YHULOHUL©GHüHUõ OHQGLULOLUNHQ©HQGVWUL\HO©ER\XWODUGD©NWOH© YH© HQHUML© GHQNOLNOHULQLQ© \DSÔOPDVÔ© JHUHNLU© 6WRNLRPHWUL©PKHQGLVOLN©YH©WHNQRORML©LOH©LOJLOL© EWQ©KHVDSODPDODUÔQ©HQGVWUL\HO©ER\XWODUõ GD©o|]POHULQL©LQFHOH\HQ©EDþOÔFD©DQDOLWLN© WHUPRGLQDPLN© YH© IL]LNRNLP\D\D© GD\DQDQ© ELU© ELOLP© GDOÔGÔU© güUHQFLOHUH© HQGVWUL\HO© NRQXODUD©PKHQGLVFH©\DNODþPD\Ô©|üUHWPHN© YH©SUREOHP©o|]PH©\HWHQHüLQL©ND]DQGÔUPDN© EX©GHUVLQ©WHPHO©DPDFÔGÔU©$\UÔFD©PKHQGLVOLN© |üUHQFLOHULQLQ©GDKD©VRQUDNL©\ÔOODUGD©J|UHFHüL©WHPHO©LþOHPOHU©ÔVÔ©DNWDõ UÔPÔ©YH©|]HOOLNOH©WDVDUÔP©GHUVOHULQLQ©WHPHOLQL©ROXþWXUXU©%|\OHVLQH©JHQLþ© NDSVDPOÔ©NRQXODUÔQ©ELU©GHUV©NLWDEÔQÔQ©JHUHNWLUGLüL©ELoLP©YH©VÔUDODPD© LoHULVLQGH©|üUHWLP©YH©|üUHQLPL©NROD\ODþWÔUPDN©YH©SHGDJRMLN©G]HQVL]OLüH© PH\GDQ©YHUPHPHN©LoLQ©EX©NLWDSWD©KHU©NRQX©D\UÔ©ELU©E|OP©KDOLQGH©HOH© DOÔQPÔþWÔU©.LWDS©PKHQGLVOLN©GHUV©PIUHGDWODUÔQD©X\JXQ©RODUDN©VHNL]© E|OP©KDOLQGH©KD]ÔUODQPÔþ©|üUHQFLOHULQ©LNLQFL©\ÔOGD©HGLQGLNOHUL©ELOJL© G]H\L©J|]©|QQH©DOÔQDUDN©NLWDEÔQ©ELULQFL©E|OPQGH©VWRNLRPHWULQLQ© GD\DQGÔüÔ©WHPHO©LONHOHULQ©YH©6,©ELULP©VLVWHPLQLQ©WDQÔPODQPDVÔQD©JD]© VÔYÔ©YH©o|]HOWLOHU©LOH©LOJLOL©ED]Ô©WHPHO©\DVDODUÔQ©NÔVDFD©KDWÔUODWÔOPDVÔQD© \HU©YHULOPLþWLU©ěNLQFL©E|OPGH©WHPHO©IL]LNVHO©LþOHPOHU©oQF©E|OPGH© NLP\DVDO©UHDNVL\RQODU©G|UGQF©E|OPGH©NLP\DVDO©GHQJH©EHþLQFL© E|OPGH©HQHUML©DOWÔQFÔ©E|OPGH©JD]õEXKDU©NDUÔþÔPODUÔ©\HGLQFL©E|õ OPGH©GH©\DQPD©NRQXVX©HOH©DOÔQPÔþWÔU©.LWDEÔQ©VHNL]LQFL©E|OP©|]HO© RODUDN©VHoLOPLþ©WLSLN©HQGVWUL\HO©NRQXODUD©D\UÔOPÔþWÔU©+HU©E|OPQ© JLULþLQGH©NRQX\OD©LOJLOL©WHRULN©ELOJL©YH©IRUPOOHUH©\HU©YHULOPLþWLU©.LWDSWD© EX©DPDFD©\|QHOLN©RODUDN©X]XQ©|üUHWLP©GHQH\LPL©LOH©VHoLO©PLþ©GHüLþLN© WUGH©oRN©VD\ÔGD©|UQHN©SUREOHP©o|]OPþ©YH©KHU©E|OPQ©VRQXQGD© \HWHUL©NDGDU©FHYDSOÔ©SUREOHPOHU©NRQXOPXþWXU©.LWDEÔQ©PDGGH©YH©HQHUML© GHQNOLNOHUL©NRQXVX\OD©LOJLOHQHQ©OLVDQV©YH©PKHQGLVOLN©|üUHQFLOHULQLQ© \DQÔ©VÔUD©LþOHWPHGH©oDOÔþDQ©PKHQGLVOHUH©GH©HO©NLWDEÔ©RODUDN©\DUDUOÔ© RODFDüÔQÔ©PLW©HWPHNWH\L] « d(9ĝ5ĝ'( 62<87«&(%ĝ5«dg=h0/h«352%/(0/5ĝ *UVHO«<HĀLORW«0XWWDOLS«g]DYĀDU %X©NLWDS©QLYHUVLWHOHUGH©OLVDQV©GHUVL©RODUDN©RNXWXODQ© FHELU©GHUVOHUL©LoLQ©ELU©o|]PO©SUREOHP©NLWDEÔGÔU© .LWDEÔQ©DPDFÔ©OLVDQV©|üUHQFLOHULQH©VR\XW©GþQPH© JHUHNWLUHQ©FHELU©NRQXODUÔQGD©WHPHO©WDQÔP©YH©VRQXoõ ODUÔQ©QDVÔO©NXOODQÔOGÔüÔQÔ©J|VWHUPHN©LoLQ©ELU©\DNODþÔP© ND]DQGÔUPDNWÔU©$\UÔFD©NLWDEÔQ©LoLQGHNL©ED]Ô©o|]PO© SUREOHPOHU©OLVDQV©VW©|üUHQFLOHULPL]H©GH©ID\GDOÔ© RODELOHFHN©G]H\GHGLU©.LWDS©LoHULüLQGHNL©o|]PO© SUREOHPOHU©JUXSODU©KDONDODU©YH©FLVLPOHU©]HULQHGLU© +HU©NRQX©LoLQ©WHPHO©WDQÔP©YH©VRQXoODU©|UQHNOHU©LOH© GHVWHNOHQHUHN©YHULOPLþ©DUNDVÔQGDQ©o|]PO©SUREOHPOHUH©JHoLOPLþWLU©.LWDSWD© ©DGHW©SUREOHP©EDþOÔüÔ©DOWÔQGD©WRSODP©©o|]PO©SUREOHP©VXQXOPXþWXU© %XQXQ©\DQÔ©VÔUD©NLWDEÔQ©EDþÔQGD©FHELUGHNL©WHPHO©NDYUDPODUGDQ©RODQ©EDüÔQWÔ© IRQNVL\RQ©YH©WDP©VD\ÔODU©LOH©LOJLOL©WDQÔP©YH©VRQXoODUD©GD©\HU©YHULOPLþWLU©.LWDõ EÔQ©VR\XW©GþQPH©JHUHNWLUHQ©FHELU©GHUVOHULQGH©|üUHQFLOHULPL]LQ©SUREOHP© o|]HELOPHOHULQH©NDWNÔGD©EXOXQDELOPHVL©PLGL\OH¨ « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c 62<87«&(%ĝ5«g]HO«.RQXODU « %$6.,'$ $KPHW«6LQDQ«dHYLN dRN©oHþLWOL©YH©WHRULN©NRQXODU©LoHUHQ©FHELU©YH\D©VR\XW© FHELU©NRQXVX©PDWHPDWLüLQ©ELUoRN©DODQÔQGD©YH© PHYFXW©WP©GRüD©ELOLPOHULQGH©NXOODQÔOPDNWDGÔU© $QFDN©LON©FPOHGH©GH©EHOLUWLOGLüL©JLEL©EX©NDGDU©oHþLWOL© WHRULN©NRQXODU©LoHUHQ©ELU©ELOLP©GDOÔQÔ©EHOOL©ELU©VD\ID\D© VÔüGÔUPDQÔQ©]RUOXüXQXQ©IDUNÔQGD©ROGXüXPX]GDQ© OLVDQV©VHYL\HVLQGHNL©FHELU©GHUV©NRQXODUÔQÔQ©]HULQH© LQþD©HGLOHELOHFHN©|]HO©ELUWDNÔP©NDYUDPODUÔ©EX©NLWDED© WRSODPDQÔQ©GDKD©X\JXQ©RODFDüÔQÔ©GþQGN©%X© VHEHSOH©LNLQFL©EDVNÔVÔ©\LQH©1REHO©$NDGHPLN©<D\ÔQõ FÔOÔN©WDUDIÔQGDQ©EDVÔODQ©&HELUH©*LULþ©LVLPOL©NLWDEÔQ©GHYDPÔ©QLWHOLüLQGH©RODQ©EX© HVHUGH©7UNoH©NLWDSODUGD©ID]OD©GHüLQLOPH\HQ©JUXSODUGD©HWNL©NDYUDPÔ©JUXS© VHULOHUL©JUXS©JHQLþOHPHOHUL©YH©FLVLP©JHQLþOHPHOHUL©PDWHU\DOOHUL©]HULQGH©oRN© VD\ÔGD©|UQHN©GHVWHüL©YH©WHRULOHU©HþOLüLQGH©GXUXOPXþWXU 7$0«6$<,/,«352*5$0/$0$ ««0HKPHW«$NLI«%DNÖU«%OHQW«$OWXQND\QDN « +$=,5/$1,<25 7$1,0/$<,&,«ĝ67$7ĝ67ĝ. ÿDQVOÖ«ÿHQRO ěVWDWLVWLN©ELOLPLQL©ROXþWXUDQ©LVWDWLVWLN©NRQXODUÔQÔQ© WRSODP©RQ©G|UW©E|OPGH©LQFHOHQGLüL©7DQÔPODõ \ÔFÔ©ěVWDWLVWLN©YH©dÔNDUVDPDOÔ©ěVWDWLVWLN©NXOODQÔP© DoÔVÔQGDQ© GDKD© X\JXQ© RODFDüÔ© GþQOHUHN© LNL© D\UÔ© NLWDS© þHNOLQGH© \D]ÔOPÔþWÔU© ěVWDWLVWLN© NRQXVXQGD©NDSVDPOÔ©ELOJL©HGLQLOPHN©LVWHQGLõ üLQGH©NHQGL©GLOLPL]GH©\D]ÔOPÔþ©WP©LVWDWLVWLN© NRQXODUÔQÔ© NDSVD\DQ© X\JXODPDODUÔ© oRN© RODQ© \D\ÔQ©VD\ÔVÔQÔQ©\RN©GHQHFHN©NDGDU©D]©ROGXüX© J|UOU©g]HOOLNOH©ELUHU©LVWDWLVWLNoL©DGD\Ô©RODQ© LVWDWLVWLN© E|OP© |üUHQFLOHULQLQ© LVWDWLVWLüL© DUDo© RODUDN© NXOODQPDVÔ© ]RUXQOX©RODQ©GLüHU©|üUHQFLOHULQ©YH©DUDþWÔUPDFÔODUÔQ©NLWDS©JHUHNVLQLPLQL© NDUþÔODPD\Ô©D\UÔFD©JQP]GH©JHUHN©LþOHWPHOHUGH©JHUHNVH©ELOLPVHO© DUDþWÔUPDODUGD© LVWDWLVWLN© \|QWHPOHULQGHQ© \DUDUODQPDN© LVWH\HQOHUH© \DUGÔPFÔ©ROPD\Ô©DPDoOD\DQ©EX©NLWDSODUGD©ROD\ODUÔQ©VD\ÔVDO©ELOJLOHUOH© GHüHUOHQGLULOPHVLQGH© NXOODQÔODQ© \|QWHPOHU© X\JXODPDOÔ© |UQHNOHUOH© DoÔNODQPÔþWÔU©%|OPOHUGH©YHULOHQ©|UQHNOHUH©HN©RODUDN©\LQH©E|OPOHULQ© VRQXQGD©RNX\XFXQXQ©NHQGLVLQL©NRQWURO©HGHELOPHVL©LoLQ©SUREOHPOHUH© YH©VHoLOHQ©ED]Ô©SUREOHPOHU©LoLQ©o|]POHUH©GH©\HU©YHULOPLþWLU©%|\OHFH© NLWDSODU©WHRULN©RODUDN©DQODWÔODQ©NRQXODUÔQ©GDKD©L\L©DQODþÔOPDVÔQÔ©VDüõ ODPDN©LoLQ©o|]OHQ©oRN©VD\ÔGD©|UQHN©SUREOHPLQ©\DQÔ©VÔUD©o|]PO©YH© GLüHU©SUREOHPOHUOH©]HQJLQOHþWLULOPLþWLU « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c 6366««8<*8/$0$/,«%,<2,67$7,67,. <DOoÖQ«.DUDJ|] %X©NLWDSOD©DUDþWÔUPDFÔ©NLWDEÔQ©WDPDPÔQÔ©LQFHõ OHPHGHQ©VDGHFH©LOJLOHQGLüL©NRQX\D©EDNDUDN© DQDOL]LQL©\DSDELOHFHN©YH©VRQXoODUÔQÔ©\RUXPOD\Dõ ELOHFHNWLU©%X©NLWDS©WÔS©HF]DFÔOÔN©GLþ©KHNLPOLüL©YH© GLüHU©VDüOÔN©ELOLPOHULQGHNL©ELOLPVHO©DUDþWÔUPDODU© LoLQ©KD]ÔUODPÔþ©ROPDNOD©EHUDEHU©GLüHU©ELOLPOHU© LoLQGH©NXOODQÔODFDN©ELoLPGH©GL]D\Q©HGLOPLþWLU© $\UÔFD©NLWDSWD©WHRULN©ELOJLOHU©GH©EXOXQGXüXQGDQ© OLVDQV©YH©OLVDQVVW©HüLWLPOHULQGH©GH©WHUFLK© HGLOHELOLU « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c « ÷÷÷÷«««%$6.,«««««;««««6$<)$««c QREHO#QREHO\D\LQFRP©õ©ZZZQREHO\D\LQFRP©õ©ZZZQREHON LWDSFRP©õ©ZZZHEDELO\D\LQODULFRP MATEMATİK - İSTATİSTİK *HQHO©0DWHPDWLN©õ©7HNQLN©0DWHPDWLN©õ©ěVWDWLVWLN©õ©2ODVÔOÔN (NRQRPHWUL©õ©0DWHPDWLN©güUHWLPL 7$1,06$/«ĝ67$7ĝ67ĝ.«2/$6,/,.«9(«2/$6,/,.«'$ý,/,0/$5, 7(0(/«0$7(0$7ĝ.««÷« 0DKPXW«.DUWDO«<DOoÖQ«.DUDJ|]«=DIHU«.DUWDO 1H\UDQ«2UKXQELOJH ±<D]DUÔQ© © NLWDSWDQ© ROXþDQ© LVWDWLVWLN© VHULõ VLQGH© LVWDWLVWLüH© JLULþ© |]HOOLüL© WDþÔ\DQ© YH© LVWDWLVWLN© WHPHO© NDYUDPODUÔQÔQ© RODVÔOÔN© YH© RODVÔOÔN©GDüÔOÔPODUÔQÔQ©JHQLþ©ELU©NHVLPH©KLWDS© HGHQ©YH©VDGH©ELU©GLOOH©HOH©DOÔQGÔüÔ©EX©NLWDS© LON©EDVNÔVÔQÔQ©WNHQPHVL©YH©\ÔOODUGÔU©JHOHQ© \HQL© EDVNÔ© WDOHEL© ]HULQH© JQFHOOHQHUHN© \HQLGHQ©RNXUODUD©VXQXOPXþWXU ěþOHQHQ©NRQXODU©RNX\XFXQXQ©DQOD\DELOHFHüL© \DOÔQ© ELU© GLOOH© \D]ÔOPÔþWÔU© +HU© ELU© NDYUDP© YH©\|QWHP©LoLQ©QDVÔO©VRUXVXQXQ©\DQÔ©VÔUD© QHGHQ© VRUXVXQXQ© GD© FHYDSODQPDVÔ© NRQX\D© LOJL© GX\DQODUÔQ© KDQJL© GXUXPGD© KDQJL© \|QWHPL© NXOODQDELOHFHNOHULQH© GDKD© NROD\© NDUDU© YHUHELOPHVLQH© \DUGÔPFÔ© ROPDNWDGÔU© .LWDSWD© \HU© DODQ© oRN© VD\ÔGDNL© |]JQ©|UQHN©YH©GHWD\OÔ©o|]POHUL©NRQXODUÔQ©DQODþÔOPDVÔQGD©E\N© NROD\OÔN©VDüODPDNWDGÔU %X©NLWDS©|]HOOLNOH©LNWLVDGL©YH©LGDUL©ELOLPOHU©IDNOWHOHUL©©VÔQÔI©|üUHQFLOHUL©LOH© PHVOHN©\NVHNRNXOODUÔQÔQ©PDWHPDWLN©HüLWLPL©YHUHQ©E|OPOHULQLQ©|üUHQFLOHUL© GLNNDWH©DOÔQDUDN©KD]ÔUODQPÔþWÔU©/LVH©YH©GHQJL©RNXOODUGDQ©\HWHUOL©VHYL\HGH© PDWHPDWLN©ELOJLVL©DODPDPÔþ©|üUHQFLOHU©LoLQ©WHPHO©PDWHPDWLN©ELOJLOHULQL© YHUHQ©VDGH©YH©NROD\©DQODþÔOÔU©ELU©NLWDSWÔU©.RQXODU©oRN©VD\ÔGD©|UQHN©o|]P© YH©E|OP©DOÔþWÔUPDODUÔ©LOH©WDNYL\H©HGLOPLþWLU©.LWDSWDNL©DQD©EDþOÔNODU©þXQODUGÔU© 6D\ÔODU©GHQNOHP©o|]POHUL©HþLWVL]OLNOHU©VO©YH©N|NO©LIDGHOHU©oDUSDQODUD© D\ÔUPD©YH©|]GHþOLNOHU©RUDQ©YH©RUDQWÔ©SROLQRPODU©NPHOHU©SHUPWDV\RQ© YH©NRPELQDV\RQ©GRüUXQXQ©DQDOLWLN©LQFHOHQPHVL©GRüUXVDO©ROPD\DQ©IRQNõ VL\RQODU©YH©JUDILNOHUL ěVWDWLVWLüH©LOJL©GX\DQ©|üUHQFL©DUDþWÔUPDFÔ©YH©NDUDU©YHULFLOHULQ©EDþODQõ JÔoWD©PXWODND©EX©NLWDS©YH\D©D\QÔ©NRQXODUÔ©LoHUHQ©EHQ]HU©ELU©NLWDSWDQ© ID\GDODQPDVÔ© YH© WDQÔPVDO© LVWDWLVWLüLQ© \DQÔ© VÔUD© RODVÔOÔN© YH© RODVÔOÔN© GDüÔOÔPODUÔ©NRQXODUÔQÔ©L\L©|üUHQPHVL©JHUHNPHNWHGLU² « ÷÷÷÷«««%$6.,««««÷«««6$<)$«««c « ÷÷÷÷««*g='(1«*(dĝ5ĝ/0ĝÿ««%$6.,«««««;««««6$<)$««c « ÷÷÷÷««%$6.,«««÷«««6$<)$«««c 7$16g5«+(6$%$«*ĝ5ĝÿ«9(«8<*8/$0$/$5, 7(0(/«0$7(0$7ĝ.«,«÷«,,«6ÖQÖI«gþUHWPHQOLþL«$QDELOLPGDOÖ«gþUHQFLOHUL«ĝoLQ .HQDQ«.RVHU««=OH\KD«$VODQ««6HOPD«*O\D]««$\GÖQ« 'HPLU««6DNLQH«.ÖUDWOÖ «+LGD\HW«6XODN %X© NLWDSWD© IL]LNoLOHU© YH© PKHQGLVOHU© LoLQ© YD]JHoLOPH]©PDWHPDWLNVHO©DUDoODUGDQ©ELUL© RODQ© WDQV|U© KHVDEÔQ© WHPHO© NDYUDPODUÔ© LOH© X\JXODPDODUÔ© ELU© DUD\D© WRSODQGÔ© 7DQV|U© KHVDEÔ© WDQÔPDN© YH© DQODPDN© LoLQ© LKWL\Do© GX\GXüXQX]©EWQ©ELOJLOHU©NDSVDPOÔ©RODUDN© EX©NLWDSWD©VXQXOGX©7DQV|U©KHVDEÔQ©PHNDQLN© HOHNWULN©DNÔþNDQODU©GLQDPLüL©WHUPRGLQDPLN© NDWÔ©FLVLPOHU©PHNDQLüL©NXDQWXP©PHNDQLüL© oHNLUGHN© IL]LüL© JHQHO© J|UHOLOLN© HOHNWURGLõ QDPLN©HODVWLVLWH©YH©GDKD©ELUoRN©IL]LN©YH©PKHQGLVOLN©NRQXODUÔQGDNL© HQ©WHPHO©X\JXODPDODUÔ©|]HQOH©VHoLOPLþ©LOJL©oHNLFL©|UQHNOHU©]HULQGH© DQODWÔOGÔ©*|UVHO©PDO]HPHOHUOH©]HQJLQOHþWLULOHQ©PHWLQ©WDQV|U©KHVDõ EÔQ©NDYUDPODUÔQÔQ©DQODþÔOPDVÔQÔ©YH©DNÔOGD©NDOPDVÔQÔ©NROD\ODþWÔUÔ\RU %X©NLWDS©(üLWLP©)DNOWHõ OHULQLQ©ěON|üUHWLP©%|Oõ P©6ÔQÔI©güUHWPHQOLüL© $QDELOLP©'DOÔ©©VÔQÔI© |üUHQFLOHULQLQ©ELULQFL© \DUÔ\ÔOGD© RNXGXNODUÔ© ±7HPHO©0DWHPDWLN©,²© GHUVLQH©ND\QDN©RODUDN© KD]ÔUODQPÔþWÔU©(üLWLP© IDNOWHOHULQLQ©\HQLGHQ©\DSÔODQGÔUÔOPD©oDOÔþPDODUÔ©oHUoHYHVLQGH©<g.©WDUDIÔQGDQ© DQDELOLP©GDOÔ©LoLQ©|QJ|UOHQ©SURJUDPD©X\JXQ©ELU©oDOÔþPDGÔU.RQXODU©LþOHQLUõ NHQ©6ÔQÔI©güUHWPHQOLüL©$QDELOLP©'DOÔQGD©RNX\DQ©|üUHQFLOHULQ©PDWHPDWLN© DOW\DSÔODUÔQGDNL©IDUNOÔOÔNODU©GLNNDWH©DOÔQPÔþWÔU©+HU©E|OPGH©NRQX©LOH©LOJLOL©WHPHO© ELOJLOHU©KHU©G]H\GHNL©|üUHQFLOHULQ©DQOD\DELOHFHüL©G]H\GH©DoÔNODQPD\D©oDOÔõ þÔOPÔþWÔU©$\UÔFD©NRQX©LOH©LOJLOL©\HWHUOL©VD\ÔGD©o|]PO©|UQHN©DOÔþWÔUPDODU©YHULOPLþ© KHU©E|OPOH©LOJLOL©DUDþWÔUPDODU©NRQXOPXþWXU©.LWDS©PDQWÔN©NPHOHU©EDüÔQWÔ© IRQNVL\RQ©LþOHP©VD\ÔODU©WDEDQ©DULWPHWLüL©E|OQHELOPH©NXUDOODUÔ©2%(%©YH©2.(.© RUDQ¯RUDQWÔ©\]GH©YH©IDL]©KHVDSODUÔ©DOÔþYHULþ©NkU¯]DUDU©KHVDSODUÔ©SHUPWDV\RQ© NRPELQDV\RQ©YH©RODVÔOÔN©EDþOÔNODUÔ©DOWÔQGD©WRSODQDQ©DOWÔ©E|OPGHQ©ROXþPDNWDGÔU « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c 7(.«'(ýĝÿ.(1/ĝ«)21.6ĝ<21/$5,1«ĝ17(*5$/«+(6$%, 1D]ÖP«.HULPRY«)DKUHWWLQ«$EGXOOD\HY«5DELO«$PDQRY« 0HKPHW«.oNDVODQ « ÷÷÷÷«««%$6.,««&ĝ/7««««÷«««6$<)$«««c « ÷÷÷;«««%$6.,«««&ĝ/7«««««;««««6$<)$«««c .LWDS©OLVDQV©G]H\LQGH©PDWHPDWLNVHO©DQDõ OL]LQ© WHPHO© E|OPOHULQGHQ© ELUL© RODQ© WHN© GHüLþNHQOL©IRQNVL\RQODUÔQ©LQWHJUDO©KHVDEÔQÔQ© |üUHQFLOHU©WDUDIÔQGDQ©GDKD©L\L©NDYUDQPDVÔ© DPDFÔ\OD©\D]ÔOPÔþWÔU©%LULQFL©E|OPGH©GRNX]© DOW© E|OPGHQ© ROXþDQ© ±%HOLUVL]© LQWHJUDO²© NRQXVX©DQODWÔOPÔþWÔU©ěNLQFL©E|OP©RQ©GRõ NX]© DOW© E|OPGHQ© ROXþDQ© ±%HOLUOL© LQWHJUDO© 5LHPDQQ© ěQWHJUDOL²© NRQXVX© ]HULQHGLU© hoQF©E|OP©GRNX]©DOW©E|OPGHQ©ROXþDQ© ±%HOLUOL©LQWHJUDOLQ©ED]Ô©*HRPHWULN©YH©)L]LNVHO©X\JXODPDODUÔ²©NRQXVXõ GXU©'|UGQF©E|OPGH©LVH©\HGL©DOW©E|OPGHQ©ROXþDQ©±+DV©ROPD\DQ© LQWHJUDOOHU²©NRQXVXGXU 7HRUL«YH«d|]PO«3UREOHPOHUOH«'ĝ)(5$16ĝ<(/«'(1./(0/(5 $ODGGLQ«ÿDPLORY 0DWHPDWLN©)L]LN©ěVWDWLVWLN©0KHQGLVOLN©YH©GLüHU© E|OPOHULQ©|üUHQFLOHUL©LoLQ©\D]ÔOPÔþ©EX©NLWDSWD© 'LIHUDQVL\HO©'HQNOHPOHU©7HRULVLQLQ©WHPHO©E|OPõ OHUL©JHUHNHQ©PDWHPDWLNVHO©NHVLQOLNOH©PPNQ© ROGXüX©NDGDU©VDGH©ELU©þHNLOGH©VXQXOPXþWXU©(OH© DOÔQPÔþ©NRQXODU©X]XQ©\ÔOODUD©GD\DOÔ©]HQJLQ©WHFUEH© ÔþÔüÔQGD©\RUXPODQPÔþ©YH©oRN©VD\ÔGD©o|]PO©WLSLN© SUREOHPOHUOH©GRQDWÔOPÔþWÔU©.LWDSWDQ©'LIHUDQVL\HO© 'HQNOHPOHU©7HRULVLQL©KHP©\HQL©|üUHQPH\H©EDþOD\DQ© KHP©GH©NHQGL©XINXQX©JHQLþOHWPHN©LVWHüLQH©VDKLS©KHUNHV©\DUDUODQDELOLU « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c QREHO#QREHO\D\LQFRP©õ©ZZZQREHO\D\LQFRP©õ©ZZZQREHON LWDSFRP©õ©ZZZHEDELO\D\LQODULFRP MATEMATİK - İSTATİSTİK *HQHO©0DWHPDWLN©õ©7HNQLN©0DWHPDWLN©õ©ěVWDWLVWLN©õ©2ODVÔOÔN (NRQRPHWUL©õ©0DWHPDWLN©güUHWLPL 7ĝ&$5ĝ«0$7(0$7ĝ. 723/$0«.$/ĝ7(<(«*ĝ5ĝÿ««4XDOLW\«0DQDJHPHQW«IRU«2UJDQL]DWLRQ÷ DO«([FHOOHQFH«,QWURGXFWLRQ«WR«7RWDO«4XDOLW\ gWNHQ«6HQJHU 7LFDUL© PDWHPDWLN© ILQDQV© KD\DWÔQÔQ© ROGXüX© NDGDU© JQON© \DþDPÔQ© GD© YD]JHoLOPH]© ELU© XQVXUXGXU©ěQVDQRüOX©SDUDQÔQ©LFDGÔ©LOH©ELUOLNWH© WLFDUHW© DODQÔQGD© KHVDS© \DSDELOPH© LKWL\DFÔ© GX\PXþWXU©*QON©\DþDQWÔPÔ]GD©LVWHU©LVWHõ PH]©ELOLQoOL©YH\D©ELOLQoVL]©KHU©JQ©ELU©WLFDUL© PDWHPDWLN©SUREOHPL\OH©NDUþÔ©NDUþÔ\D\Ô]©%X© SUREOHPOHULQ© VWHVLQGHQ© JHOPHN© EXQODUD© HWNLQ© ELU© o|]P© JHOLþWLUPHN© LoLQ© GH© WLFDUL© PDWHPDWLN©ELOJLVLQH©LKWL\DFÔPÔ]©YDUGÔU©0HVOHN© <NVHNRNXOODUÔPÔ]ÔQ©ěNWLVDGL©YH©ěGDUL©%LOLPOHU© 3URJUDPODUÔQGDNL©E|OPOHUGH©RNXWXODQ©7LFDUL© 0DWHPDWLN©GHUVL©LoLQ©KD]ÔUODQDQ©EX©NLWDEÔQ©EX©E|OP©|üUHQFLOHULQLQ© GÔþÔQGD© ěNWLVDGL© YH© ěGDUL© %LOLPOHU© )DNOWHVL© |üUHQFLOHUL© PIHWWLþOLN© YH©X]PDQOÔN©VÔQDYODUÔQD©KD]ÔUODQDQODU©WLFDUHW©KD\DWÔQGD©DNWLI©RODUDN© EXOXQDQODU© YH© WLFDUHW© PDWHPDWLüLQH© LOJL© GX\DQ© KHUNHV© LoLQ© ID\GDOÔ© ROPDVÔQÔ©PLW©HGL\RUXP©0HVOHN©<NVHNRNXOODUÔQGD©RNXWXODQ©7LFDUL© 0DWHPDWLN©GHUVL©LoLQ©0LOOL©(üLWLP©%DNDQOÔüÔõ<NVHN©güUHWLP©.XUXPXQõ FD©EHOLUOHQHQ©GHUV©LoHULNOHULQH©X\JXQ©RODUDN©KD]ÔUODQDQ©EX©NLWDS©DOWÔ© E|OPGHQ©ROXþPDNWDGÔU©%LULQFL©E|OPGH©RUDQ©YH©RUDQWÔ©KHVDSODUÔ© LNLQFL©E|OP©\]GH©KHVDSODUÔ©YH©PDOL\HW©NkUõ]DUDU©KHVDSODUÔ©oQF© E|OPGH© NDUÔþÔP© KHVDSODUÔ© G|UGQF© E|OPGH© DODþÔP©KHVDSODUÔ© EHþLQFL©E|OPGH©EDVLW©YH©ELOHþLN©IDL]©KHVDSODUÔ©DOWÔQFÔ©YH©VRQ©E|OPGH© LVH©EDVLW©YH©ELOHþLN©LVNRQWR©KHVDSODUÔ©D\UÔQWÔOÔ©ELU©þHNLOGH©DQODWÔOPÔþWÔU 'DYLG«/«*RHWVFK«6WDQOH\«'DYLV «dHYLUL«(GLW|U«g]OHP«ĝSHNJLO«'RþDQ « d(9ĝ5ĝ'( 78780/$5,1«g/dh/0(6ĝ«9(«6366«ĝ/(«9(5ĝ«$1$/ĝ=ĝ (]HO«7DYĀDQFÖO (üLWLPFLOHU©SVLNRORJODU©YH©VRV\RORJODU©LQVDQ© GDYUDQÔþODUÔQD©HWNL©HGHQ©RQXQOD©LOLþNLVL©RODQ©GHüLþõ NHQOHUL©ELOPHN©DQODPDN©YH©|OoPHN©LVWHPLþOHU©YH© LVWH\HFHNOHUGLU©%X©NLWDEÔQ©NRQXVX©RODQ©WXWXP©GD©EX© GHüLþNHQOHUGHQ©ELULGLU©7XWXPODU©GRüXþWDQ©GHüLO© VRQUDGDQ©]DPDQOD©|üUHQPH©\ROX©LOH©HGLQLOPHNõ WHGLU©7XWXPODUÔQ©ROXþPDVÔQGD©YH©GHüLþPHVLQGH© HüLWLP©NXUXPODUÔQÔQ©YH©|üUHWPHQOHULQ©oRN©E\N© HWNLOHUL©YDUGÔU©7XWXPODUÔ©|OoHQ©|OoPH©DUDoODUÔQÔQ© JHOLþWLULOPHVL©GH©WXWXPODUÔQ©ELOLPVHO©\|QWHPOHUOH© LQFHOHQHUHN©GDKD©WXWDUOÔ©ELU©WXWXPODU©NXUDPÔQÔQ© ROXþPDVÔQD©\RO©DoPDNWD©YH©NLþLOHU©KDNNÔQGDNL© oHþLWOL©NDUDUODUGD©WXWXP©SXDQODUÔQÔQ©NXOODQÔOPDVÔQD©GD©RODQDN©YHUPHNWHGLU .LWDSWD©|OoPH©LOH©LOJLOL©WHPHO©NDYUDPODU©|OoPH©YH©|OoPH©JHUHNVLQLPL©|OoPH© WUOHUL©|OoPH©KDWDVÔ©|OoPHGH©oRN©|QHPOL©RODQ©JYHQLUOLN©JHoHUOLN©WXWXP© WXWXPX©ROXþWXUDQ©WHPHO©|üHOHU©WXWXPODUÔQ©ROXþPDVÔ©WXWXPODUÔQ©GHüLþPHVL© WXWXP©NXUDPODUÔ©WXWXP©GDYUDQÔþ©LOLþNLVL©WXWXP©|OoPH©\DNODþÔPODUÔ©WXWXP© |OoHNOHUL©JHOLþWLULOLUNHQ©NXOODQÔODELOHFHN©YHUL©DQDOL]OHUL©LoLQ©6366©SDNHW© SURJUDPÔQGDNL©WHPHO©NRPXWODU©EDVDPDNODU©KDOLQGH©YHULOPLþWLU « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c 7ĝ&$5ĝ«0$7(0$7ĝ. 6ÖGGÖN«$UVODQ %X©NLWDS©0HVOHN©<NVHNRNXOODUÔQGD©RNXWXODQ© 7LFDUL©0DWHPDWLN©GHUVL©LoLQ©ELU©GHUV©NLWDEÔ©RODUDN© KD]ÔUODQPÔþWÔU©.LWDSWD©NRQXODUÔQ©DQODWÔPÔQGD© \DOÔQ©ELU©GLO©NXOODQÔOPÔþWÔU©.RQXODUD©LOLþNLQ©YHULOHQ© ELOJLOHU©|UQHNOHU©YH©VRUXODUOD©GHVWHNOHQPLþWLU© 7LFDUL© 0DWHPDWLN© PDWHPDWLüLQ© X\JXODPD© DODQODUÔQGDQ©ELULVL©ROGXüXQGDQ©|UQHNOHU©YH© VRUXODU©VHoLOLUNHQ©|üUHQPH\L©NROD\ODþWÔUPDVÔ© PDWHPDWLNVHO©LþOHP©\HWHQHüLQLQ©JHOLþWLULOPHVL© YH©X\JXODPD\D©KD]ÔUODPDVÔ©LONHOHUL©J|]©|QQGH© EXOXQGXUXOPXþWXU « ÷÷÷÷«««%$6.,«««««;««««6$<)$«««c 86,1*«6366«)25«:,1'2:6«$1'«0$&,1726+« 6DPXHO«*UHHQ«1HÖO«6DONÖQG« dHYLUL«(GLW|U«««7DUÖN«7RWDQ « ÷÷÷÷«%$6.,««««÷«««6$<)$««c 7232/2-ĝ«9(«.$7(*25ĝ 2VPDQ«0XFXN 6RQ©\]\ÔOGD©PDWHPDWLN©DODQÔQGDNL©HQ©E\N© JHOLþPHOHUGHQ©ELUL©WRSRORMLQLQ©WDQÔPODQPDVÔ© YH©WRSRORML©LOH©LOJLOL©ELOJLOHULQ©PDWHPDWLüLQ© GLüHU©DODQODUÔQGD©NXOODQÔOPDVÔ©ROPXþWXU©%X© NLWDS©JHQHO©WRSRORMLQLQ©FHELUVHO©WRSRORMLQLQ© YH©NDWHJRUL©WHRULVLQLQ©ED]Ô©WHPHO©NRQXODUÔQÔ© ERO©|UQHNOL©RODUDN©VXQPDN©]HUH©KD]ÔUODQPÔþõ WÔU©ěOJLOL©NDYUDPODU©WDQÔWÔOGÔNWDQ©VRQUD©oHþLWOL© |UQHNOHUOH©]HQJLQOHþWLULOPLþWLU©+HU©E|OPQ© VRQXQGD©RQXQOD©LOJLOL©DOÔþWÔUPDODU©KD]ÔUODQõ PÔþWÔU© ěoHULNWH© NXOODQÔP© DPDFÔQD© X\JXQ© RODUDN© WRSRORMLN© X]D\© VUHNOLOLN© WRSRORMLN© |]HOOLN©PHWULN©X]D\©JLEL©ED]Ô©WHPHO©NDYUDPODU©]HULQGH©GXUXOPXþWXU© 7RSRORML©HOGH©HWPH©\|QWHPOHULQGHQ©EDþODQJÔo©YH©ELWLþ©WRSRORMLVL©NDYõ UDPODUÔ©YHULOHUHN©oDUSÔP©YH©E|OP©X]D\ODUÔ©EX©\ROOD©WDQÔPODQPÔþWÔU© 6D\ÔODELOLU©X]D\ODU©NRPSDNW©X]D\ODU©DüODU©YH©V]JHoOHU©LUWLEDWOÔ©YH© HüULVHO©LUWLEDWOÔ©X]D\ODU©WHPHO©JUXSODU©YH©WRSRORMLN©JUXSODU©D\UÔQWÔOÔ© RODUDN©YHULOPLþWLU©.LWDS©LoLQGHNL©WP©WDQÔPODU©|UQHNOHU©|QHUPHOHU© WHRUHPOHU©YH©VRQXoODU©QXPDUDODQGÔUÔOPÔþ©YH©EX©QXPDUDODU©NXOODQÔODUDN© RNX\XFX\D©WDNLS©HWPH©NROD\OÔüÔ©VDüODQPÔþWÔU « d(9ĝ5ĝ'( 8<*8/$0$/,«ĝ67$7ĝ67ĝ.« 2VPDQ«dHYLN « .$5$0$1«%ĝ/«$5ÿ«÷÷÷÷«««%$6.,««««÷«««6$<)$««c 8<*8/$0$/,«(.2120(75ĝ $]L]«.XWODU *QP]GH©HNRQRPHWUL©HNRQRPL©ELOLPLQLQ© YD]JHoLOPH]©DQDOL]©DUDoODUÔQGDQ©ELUL©NRQXPXõ QD©JHOPLþWLU©(NRQRPL©WHRULVLQLQ©LOJL©DODQÔQD© JLUHQ©KHU©WUO©\DNODþÔP©HNRQRPHWUL\H©NRQX© ROPDNWDGÔU©%XQXQ©HQ©|QHPOL©QHGHQOHULQGHQ© ELUL©EX©ELOLP©GDOÔQÔQ©JLWWLNoH©UDNDPODUOD©KDþLU© QHþLU©ROPDVÔ©LNLQFLVL©LVH©ELOJLVD\DU©WHNQRORMLõ VLQGHNL©KÔ]OÔ©JHOLþPHGLU©(Q©NDUPDþÔN©WHRULOHUH© DLW©VÔQDPD©YH©WDKPLQOHU©ELOJLVD\DU©SURJUDPODUÔ© PDULIHWL\OH©oRN©NÔVD©VUHGH©VRQXoODQGÔUÔOPDNWDõ « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c QREHO#QREHO\D\LQFRP©õ©ZZZQREHO\D\LQFRP©õ©ZZZQREHON LWDSFRP©õ©ZZZHEDELO\D\LQODULFRP MATEMATİK - İSTATİSTİK *HQHO©0DWHPDWLN©õ©7HNQLN©0DWHPDWLN©õ©ěVWDWLVWLN©õ©2ODVÔOÔN (NRQRPHWUL©õ©0DWHPDWLN©güUHWLPL GÔU©%X©J|]OHPOHU©oHUoHYHVLQGH©HOLQL]GHNL©EX©NLWDS©UDNDPODUOD©VÔNÔFÔ©KDOH© JHOHQ©HNRQRPHWULN©DQDOL]OHUL©ELOJLVD\DU©SURJUDPODUÔ©YDVÔWDVÔ\OD©VHYLPOL© YH©DQODþÔOÔU©KDOH©JHWLUPH\L©DPDoODPDNWDGÔU©0DWHPDWLN©YH©UDNDPODUGDQ© ID]ODFD©oHNLQHQOHU©LoLQ©E|\OH©ELU©oDOÔþPDQÔQ©oRN©\DUDUOÔ©RODFDüÔ©GþQOõ PHNWHGLU©.LWDSWD©'Q\DGD©YH©7UNL\H´GH©oRNoD©NXOODQÔODQ©(9LHZV©6366© 0,1,7$%©YH©*LYH:LQ©DOWÔQGD©oDOÔþDQ©ELU©GL]L©SURJUDP©3F*LYH©3F)LPO©YE© X\JXODPDVÔQD©\HU©YHULOPLþWLU DUDPDGD©J|VWHUGLNOHUL©]HNL©GDYUDQÔþÔ©WHPHO©DOPDNWDGÔU©<DSD\©DUÔ©NRORQL© DOJRULWPDVÔ©EDO©DUÔVÔ©NRORQLOHULQLQ©]HQJLQ©QHNWDUOÔ©\L\HFHN©ND\QDNODUÔQÔ© DUDPDGD©RUWD\D©NR\GXNODUÔ©]HNL©GDYUDQÔþODUÔ©|UQHN©DOPDNWDGÔU©.LWDS© |QFH©RSWLPL]DV\RQOD©LOJLOL©WHPHO©NDYUDPODUÔ©WDQÔWPDNWD©YH©VRQUD©EX©VHNL]© RSWLPL]DV\RQ©DOJRULWPDVÔQÔQ©WHPHO©SUHQVLSOHULQL©YHUHUHN©KHU©ELULVL\OH©LOJLOL© GHüLþLN©PKHQGLVOLN©DODQODUÔQGDQ©X\JXODPDODU©VXQPDNWDGÔU « ÷÷÷÷«««%$6,0««««÷«««6$<)$««c « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c <g1(</(0«$5$ÿ7,50$6,«÷,÷«%LOJLVD\DU«'HVWHNOL«'RþUXVDO«YH« 3DUDPHWULN«3URJUDPODPD 8<*8/$0$/,«5(*5(6<21«$1$/ĝ=ĝ««$SSOLHG«5HJUHVVLRQ«$QDO\VLV «.HQDQ«g]GHQ««6DLW«*O «-RKQ«2«5DZOLQJV6DVWU\«*«3DQWXOD«'DYLG«$«'LFNH\« %X© NLWDEÔQ© DPDFÔ© QLYHUVLWHOHULQ© YH© +DUS© 2NXOODUÔ´QÔQ©EDþWD©(QGVWUL©ěþOHWPH©YH©6LVWHP© 0KHQGLVOLNOHUL©E|OPOHUL\OH©ěþOHWPH©ěNWLVDW© (NRQRPHWUL©YH©0DWHPDWLN©JLEL©E|OPOHULQGH© RNX\DQ©|üUHQFLOHUH©oDOÔþPD©\DþDPODUÔQGD©LQVDQ© PDO]HPH©YH©PDNLQH©JLEL©ND\QDNODUÔQ©LþOHWPH© DPDoODUÔ©GRüUXOWXVXQGD©HWNLQ©HNRQRPLN©YH© YHULPOL©NXOODQÔOPDVÔ\OD©LOJLOL©RODUDN©VLVWHP©YH© VUHo©WDVDUÔPÔ©SODQODPD©NRQWURO©VRUXQ©o|]P© YH©NDUDU©YHUPH©NRQXODUÔQGD©NDUþÔODþDFDNODUÔ©VRõ UXQODUÔQ©o|]PQGH©\DUGÔPFÔ©RODFDN©QLFHO©PRGHO© YH©WHNQLNOHUL©|üUHQHELOHFHNOHUL©GHUV©NLWDEÔ©YH\D© \DUGÔPFÔ©GHUV©NLWDEÔ©RODQDüÔQÔ©VXQPDNWÔU<|QH\OHP©$UDþWÔUPDVÔ©|]HOOLNOH© ,,©'Q\D©6DYDþÔ©VÔUDVÔQGD©DVNHUL©VRUXQODUÔQ©o|]PQGH©LON©X\JXODPDODUÔQÔ© EXOPXþ©ROPDVÔ©QHGHQL\OH©LþOHWPH©YH©GLüHU©|UJWOHULQ©\|QHWLPLQGH©ROGXüX© JLEL©6LODKOÔ©.XYYHWOHU©\|QHWLPL©LoLQ©GH©|QHPOL©ELU©NDUDU©YHUPH©DUDFÔGÔU dHYLUL«(GLW|U«<ÖOPD]«$NGL « d(9ĝ5ĝ'( 8<*8/$0$/,«5(*5(6<21«$1$/ĝ=ĝ«.DYUDPODU«9H«5«+HVDSODPDODUÖ 'XUVXQ«$\GÖQ « ÷÷÷÷«««%$6.,««««÷«««6$<)$««c 8\JXODPDOÔ©5HJUHV\RQ©$QDOL]Lõ.DYUDPODU©YH© 5©+HVDSODPDODUÔ©LVLPOL©HVHU©\DQÔW©EDüÔPOÔ©YH© DoÔNOD\ÔFÔ©EDüÔPVÔ]©GHüLþNHQOHU©DUDVÔQGDNL© PHYFXW©LOLþNLOHUL©WDQÔPOD\DQ©PDWHPDWLNVHO© PRGHOOHUL©ROXþWXUPD©NRQXVXQD©|QHPOL©|OoGH© ÔþÔN©WXWPDNWDGÔU©%X©NLWDS©GHüLþNHQOHU©DUDVÔ© LOLþNLOHUL©LQFHOH\HQ©YH©PRGHOOHPH©WHNQLNOHULõ QLQ©|QHPOL©ELU©VÔQÔIÔQÔ©WHþNLO©HGHQ©UHJUHV\RQ© DQDOL]LQGH©OLVDQV©YH©OLVDQVVW©|üUHQFLOHU© LVWDWLVWLNoLOHU©YH©DUDþWÔUPDFÔODU©LoLQ©UHIHUDQV© ELU©ND\QDN©RODUDN©WDVDUODQPÔþWÔU <g1(</(0«$5$ÿ7,50$6,«÷1LFHO«.DUDU«7HNQLNOHUL «ÿXOH«g]NDQ .LWDS©LþOHWPH©HNRQRPHWUL©YH©LNWLVDW©OLVDQV© |üUHQFLOHULQH©\|QHOLN©KD]ÔUODQPÔþWÔU©ěON©E|õ OPGH©'RüUXVDO©3URJUDPODPD©0RGHOL©HOH© DOÔQPÔþ©GHYDPÔQGD©\LQH©'RüUXVDO©3URJUDPõ ODPD©LOH©LOLþNLOL©RODQ©ED]Ô©0DWHPDWLN©0RGHOOHU© HOH© DOÔQPÔþWÔU© /LVDQV© |üUHQFLOHULQH© GDKD© oRN© \DUDUOÔ© RODFDüÔ© GþQFHVL\OH© |]HOOLNOH© 'RüUXVDO©/LQHHO©3URJUDPODPD©'X\DUOÔOÔN© $QDOL]L© YH© 3DUDPHWULN© 3URJUDPODPD© 7DPõ VD\ÔOÔ© 3URJUDPODPD© 8ODþWÔUPD© 0RGHOL© YH© 'LQDPLN©3URJUDPODPD©NRQXODUÔ©NLWDSWD©\HU© DOPDNWDGÔU©'DKD©VRQUD©EDþWD©$ü©$QDOL]OHUL©LOH© 3URMH©.RQWURO©YH©3ODQODPD©<|QWHPOHUL©3(57õ&30©ROPDN©]HUH©.DUDU© YH©2\XQ©7HRULVL©6WRN©.RQWURO©0RGHOOHUL©%HNOHPH©+DWWÔ©0RGHOOHUL©YH© .X\UXN©7HRULVL©DoÔNODQPD\D©oDOÔþÔOPÔþWÔU©%X©EDVNÔ\D©|QFHNL©EDVNÔODUõ GD©\HU©DOPD\DQ©3DUDPHWULN©3URJUDPODPD©$ü©$QDOL]OHUL©YH©'RüUXVDO© 2OPD\DQ© 3URJUDPODPD© NRQXODUÔ© HNOHQPLþWLU© .LWDSWD© \HU© DODQ© ED]Ô© SUREOHPOHU©ELOJLVD\DU©SURJUDPÔ©\DUGÔPÔ\OD©o|]OPþ©DQFDN©RNX\Xõ FXQXQ©GDKD©L\L©DQOD\DELOPHVL©DoÔVÔQGDQ©o|]POHULQ©oRüX©ELOJLVD\DU© \DUGÔPÔ©ROPDNVÔ]ÔQ©DoÔNODQPÔþWÔU 5HJUHV\RQ©DQDOL]L©oRN©VD\ÔGD©X\JXODPD© DODQODUÔQD©VDKLSWLU©%XQODU©DUDVÔQGD©HNRQRPL© ILQDQV©LþOHWPH©KXNXN©PHWHRURORML©WÔS©EL\RORML©NLP\D©PKHQGLVOLN©HüLWLP© VSRU©WDULK©VRV\RORML©YH©SVLNRORML©VD\ÔODELOLU©.LWDSWDNL©X\JXODPD©|UQHNOHUL© LOJLOL©DODQODUÔ©NDSVD\DFDN©þHNLOGH©|]HQOH©KD]ÔUODQPÔþWÔU 5HJUHV\RQ©DQDOL]LQLQ©X\JXODPDVÔQGD©ELOJLVD\DU©|QHPOL©ELU©URO©R\QDU©0HWLQ© LoHULVLQGH©ELOJLVD\DU©NXOODQÔPÔ©KHP©oL]HOJHOHULQ©KHP©GH©JUDILNVHO©oÔNWÔODUÔQ© J|UQWOHUL©GDKLO©ELUoRN©DoÔGDQ©VHUEHVW©5©\D]ÔOÔPÔ©LOH©HQWHJUH©HGLOPLþWLU « ÷÷÷÷«««%$6.,«««««;««««6$<)$«««c <$3$<«=(.Æ«237ĝ0ĝ=$6<21««$/*25ĝ70$/$5, « ÷÷÷÷««*(1ĝÿ/(7ĝ/0ĝÿ««%$6,0««««÷«««6$<)$«««c 'HUYLĀ«.DUDERþD <g1(</(0«$5$ÿ7,50$6,1$«*ĝ5ĝÿ««,QWURGXFWLRQ«WR«2SHUDWLRQV« 5HVHDUFK %X©NLWDS©\DSD\©]HNk©RSWLPL]DV\RQ©DOJRULWPDODUÔ© RODUDN©DGODQGÔUÔODQ©WDEX©DUDþWÔUPD©\DSD\©ÔVÔO© LþOHP©JHQHWLN©NDUÔQFD©NRORQL©\DSD\©EDüÔþÔNOÔN© GLIHUDQVL\HO©JHOLþLP©SDUoDFÔN©VU©RSWLPL]DV\RQX© YH©\DSD\©DUÔ©NRORQL©DOJRULWPDODUÔQÔ©NDSVDPDNWDGÔU© 7DEX©DUDþWÔUPD©DOJRULWPDVÔ©LQVDQÔQ©]HNL©SUREOHP© o|]PH©|]HOOLNOHULQL©WDNOLW©HWPHNWHGLU©<DSD\©ÔVÔO©LþOHP© DOJRULWPDVÔ©PDO]HPHOHUGH©ÔVÔO©LþOHP©HVQDVÔQGD© PH\GDQD©JHOHQ©ROD\Ô©WHPHO©DOPDNWDGÔU©*HQHWLN© DOJRULWPD©GRüDGD©YDU©RODQ©GRüDO©VHoPH©YH©JHõ QHWLN©LþOHPOHU©|UQHN©DOÔQDUDN©JHOLþWLULOPLþWLU©.DUÔQFD©NRORQL©DOJRULWPDVÔ© JHUoHN©NDUÔQFD©NRORQL©GDYUDQÔþODUÔQÔQ©PRGHOOHQPHVLQH©GD\DOÔGÔU©<DSD\© EDüÔþÔNOÔN©DOJRULWPDVÔQÔQ©JHOLþWLULOPHVLQGH©GRüDO©EDüÔþÔNOÔN©VLVWHPLQLQ© ED]Ô©|]HOOLNOHUL©GLNNDWH©DOÔQPÔþWÔU©'LIHUDQVL\HO©JHOLþLP©DOJRULWPDVÔ©o|]P© YHNW|UOHULQLQ©IDUNÔQD©GD\DOÔGÔU©YH©|]HOOLNOH©QPHULN©RSWLPL]DV\RQ©SUREOHPõ OHUL©LoLQ©JHOLþWLULOPLþWLU©3DUoDFÔN©VU©DOJRULWPDVÔ©NXþ©VUOHULQLQ©\L\HFHN© +LOOLHU«dHYLUL«(GLW|UOHUL«ĝSHN«'HYHFL«.RFDNRo«)HUKDQ« dHEL « d(9ĝ5ĝ'( QREHO#QREHO\D\LQFRP©õ©ZZZQREHO\D\LQFRP©õ©ZZZQREHON LWDSFRP©õ©ZZZHEDELO\D\LQODULFRP ) @- A-- A- !"!& 5!6--7$$$ -&*8-9**34&*8-98** !"#$%&'-)34&()*+,--)** ./01./0.23444./0.2 "! # " ! % $ &%' * ) ('
Similar documents
dost kitapevi
NRQXODUÔ©V|]©NRQXVX©GHUVOHUGH©EHOOL©G|QHPOHUGH©PXWODND©LQFHOHQPHVL© JHUHNPHNWHGLU© $\UÔFD© VHPLQHU© |GHYOHUL© \NVHN© OLVDQV© GHUVOHULQGH© YHULOHQ©|GHYOHU©YH©WH]©oDOÔþPDODUÔ©KD]ÔUODQÔUNHQ©V|]©N...
More information