<html>
<head>
<meta http-equiv="content-type" content="text/html; charset=ISO-8859-9">
</head>
<body bgcolor="#FFFFFF" text="#000000">
Kurban Bayrami’nda merakli ve yetenekli liselilere ve lisans
ogrencilerine yonelik bir programimiz var.<br>
Program asagida ve <a
href="http://matematikkoyu.org/kurban_lise_lisans_2011">http://matematikkoyu.org/kurban_lise_lisans_2011</a>
sayfasinda.<br>
Programin oldukca soyut olacagi konusunda lise ogrencilerini
uyaririz.<br>
Ogretmenler de katilabilir.<br>
Ihtiyaci olanlara (her zaman oldugu gibi) her turlu kolaylik
saglanacaktir.<br>
Katilmak isteyenler bir an once basvursunlar, yerimiz fazlasiyla
kisitli.<br>
Ali Nesin
<p class="MsoNormal" style="text-align: left; text-indent: 0cm;"
align="left"><strong><span style="font-size: 9pt; font-family:
"Verdana","sans-serif";">Konu:</span></strong><span
style="font-size: 9pt; font-family:
"Verdana","sans-serif";"> Ayrik Matematikte
Cebirsel ve Analitik Yontemler<strong><span style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">Tarih:</span></strong></b>
5-13 Kasim 2011 (Kurban Bayrami)<strong><span
style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">Hedef Kitle:</span></strong></b>
Fen lisesi ve matematik bolumu lisans ogrencileri<strong><span
style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">Onbilgi:</span></strong></b>
Liselilerden ortalamanin ustunde bir matematiksel olgunluk, ilgi
ve soyutlama becerisi gerekmektedir. Universite ogrencilerinin
bu yetilere sahip olduklari varsayilacaktir.<strong><span
style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">Ucret: </span></strong></b>4
ogun yemek, cay, su ve temel ihtiyaclar dahil<strong><span
style="font-family:
"Verdana","sans-serif";"> </span></strong>kisilere<strong><span
style="font-family:
"Verdana","sans-serif";"> </span></strong>gunluk</span>
50 TL, kurumlara gunluk 70 TL'dir. Ihtiyaci olanlara ihtiyaclari
kadar destek verilecektir. <b><span style="font-size: 9pt;
font-family: "Verdana","sans-serif";"><br>
<strong><span style="font-family:
"Verdana","sans-serif";">Basvuru:</span></strong></span></b><span
style="font-size: 9pt; font-family:
"Verdana","sans-serif";"> Basvuru formunu <a
href="mailto:emelaydin@nesinvakfi.org">emelaydin@nesinvakfi.org</a>
adresine mail ile gondermelisiniz. Basvurunuzun ulastigina dair
bir onay mesaji gonderilecektir. Ogrenci basvuru formu icin <a
href="http://matematikkoyu.org/files/efm/files/Lise_Basvuru_2011.doc"
title="Lise_Basvuru">tiklayin.</a> Ogretmen basvuru formu icin
<span style="color: blue;"><a
href="http://matematikkoyu.org/files/efm/files/Ogretmen_Basvuru_2011.doc"
title="Ogretmen_Basvuru_2011">tiklayin</a>.</span>
Universite ogrencileri basvuru formu icin <a
href="http://matematikkoyu.org/files/efm/files/Lisans_Lisansustu_Basvuru_yeni.doc"
title="Lisans_Lisansustu_Basvuru_yeni">tiklayin.</a> Eger uc
dort gun icinde mesaj almamissaniz lutfen bir daha yazin,
basvurunuz muhtemelen elimize gecmemistir<strong><span
style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<br>
<br>
<strong><span style="font-family:
"Verdana","sans-serif";">Dersler:</span></strong></b></span></p>
<p class="MsoNormal" style="text-align: left; text-indent: 0cm;"
align="left"><strong><span style="font-size: 9pt; font-family:
"Verdana","sans-serif";">Ali Nesin,
Cizgeler Kurami ve Cebir </span></strong><b><span
style="font-size: 9pt; font-family:
"Verdana","sans-serif";"><br>
<strong><span style="font-family:
"Verdana","sans-serif";">Genel Hatlar:
</span></strong></span></b><span style="font-size: 9pt;
font-family: "Verdana","sans-serif";">Cizgeler
kuraminda kullanilan bazi cebirsel yontemler aciklanacaktir.
Bunu yaparken grup teorisinin ve grup etkimesinin temel
kavramlarini uygulamali olarak gorecegiz.<strong><span
style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">Onbilgi: </span></strong></b>Herhangi
bir
soyut cebir bilgisine gerek yoktur.<strong><span
style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">Izlenecek
Kitap:</span></strong></b> Chris Godsil ve Gordon Royle, <strong><span
style="font-family:
"Verdana","sans-serif";">Algebraic Graph
Theory</span></strong>, Springer, Graduate Texts 207, 2001.<strong><span
style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">Ayrintili
Izlence </span></strong><br>
<strong><span style="font-family:
"Verdana","sans-serif";">5 Kasim (2
saat): </span></strong></b>Cizgeler, otomorfizma gruplari
ve ornekler<strong><span style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">6 Kasim (2
saat): </span></strong></b>Permutasyon gruplari ve
asimetrik cizge yogunlugu<strong><span style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">7 Kasim (2
saat): </span></strong></b>Orbitler, primitiflik,
baglantililik<strong><span style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">8 Kasim (2
saat): </span></strong></b>Gecisli cizgeler, kenar
baglantililigi<strong><span style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">9 Kasim (2
saat): </span></strong></b>Kose baglantililigi. Esleme
(matching).<strong><span style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">10 Kasim (4
saat): </span></strong></b>Hamilton yollari ve donguler;
Hamilton donguleri olmayan yonlendirilmis Cayley cizgeleri<strong><span
style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">11 Kasim (4
saat): </span></strong></b>Buzulmeler. Simetrik grubunun
uretecleri uzerine<strong><span style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">12 Kasim (4
saat): </span></strong></b>Yay-gecisli cizgeler. Petersen
cizgesi. Mesafe-gecisli cizgeler. Coxeter cizgeleri. Tutte
8-cizgesi.<strong><span style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">13 Kasim (4
saat):</span></strong></b> Genellestirilmis dortgenler,
izdusum geometrisi, genellestirilmis cokgenler. Feit-Higman
teoremi. <br>
<b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">Ozlem
Beyarslan, Rastgele Cizgeler Kurami </span></strong><br>
<strong><span style="font-family:
"Verdana","sans-serif";">Genel Hatlar:
</span></strong></b>Rastgele cizgeler kuramina giris
niteliginde bir ders olacaktir.<strong><span style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">Izlenecek
Kitap: </span></strong></b>J. Spencer, <strong><span
style="font-family:
"Verdana","sans-serif";">Strange Logic
of Random Graphs. </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">Ayrintili
Izlence </span></strong><br>
<strong><span style="font-family:
"Verdana","sans-serif";">5 Kasim (2
saat): </span></strong></b>Olasilik teorisinin temel
ilkeleri<strong><span style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">6 Kasim (2
saat):</span></strong></b> Cizgeler I<strong><span
style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">7 Kasim (2
saat): </span></strong></b>Cizgeler II<strong><span
style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">8 Kasim (2
saat):</span></strong></b> Rastgele cizge G(n,p)<strong><span
style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">9 Kasim (2
saat):</span></strong></b> Biraz mantik<strong><span
style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">10 Kasim (2
saat):</span></strong></b> Sifir-bir yasasi <b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">11 Kasim (2
saat):</span></strong></b> Erenfeucht-Mostowski Oyunlari
ve kazanma stratejileri<strong><span style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">12 Kasim (2
saat):</span></strong></b> Ornekler<strong><span
style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">13 Kasim (2
saat):</span></strong></b> Rastgele yontemler nasil ise
yarayabilir? <br>
<br>
<strong><span style="font-family:
"Verdana","sans-serif";">Selcuk Demir,
Olasilik Kurami </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">Genel Hatlar:
</span></strong></b>Sonlu olasiliklar, olasilik kuraminin
temelleri<strong><span style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">Izlenecek
Kitap: </span></strong></b>Y.A. Rozanov,<strong><span
style="font-family:
"Verdana","sans-serif";"> Probablity
Theory: A Concise Course </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">Ayrintili
Izlence </span></strong><br>
<strong><span style="font-family:
"Verdana","sans-serif";">5 Kasim (2
saat): </span></strong></b>Olaylar, temel olasilik.<strong><span
style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">6 Kasim (2
saat):</span></strong></b> Kombinatorik analizin temelleri<strong><span
style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">7 Kasim (2
saat): </span></strong></b>Elemanter olaylar, ornekleme
uzayi<strong><span style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">8 Kasim (2
saat):</span></strong></b> Olasiliklarin toplanma kurali,
ornekler<strong><span style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">9 Kasim (2
saat):</span></strong></b> Istatistiksel bagimsizlik<strong><span
style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">10 Kasim (2
saat):</span></strong></b> Ayrik ve surekli rastsal
degiskenler, dagilimlar<strong><span style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">11 Kasim (2
saat):</span></strong></b> Beklenti, Chebyshev esitsizligi<strong><span
style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">12 Kasim (2
saat): </span></strong></b>Bazi onemli olasilik
dagilimlari<strong><span style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">13 Kasim (2
saat):</span></strong></b> Ornekler <br>
<br>
<strong><span style="font-family:
"Verdana","sans-serif";">Sonat Suer,
Periyodik Kenar Suslerinin Siniflandirilmasi </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">Genel Hatlar:
</span></strong></b>Dersin amaci temel grup teorisine somut
bir ornek uzerinden giris yapmaktir. <b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">Onbilgi: </span></strong></b>Ogrencilerin
cebir
bilmesine gerek yoktur.<strong><span style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">Izlenecek
Kitap: </span></strong></b>Algebra and Geometry, Alan F.
Beardon, Cambridge University Press.<strong><span
style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">Ayrintili
Izlence </span></strong><br>
<strong><span style="font-family:
"Verdana","sans-serif";">5 Kasim (2
saat): </span></strong></b>Simetrinin tanimi, duzlemin
simetrileri.<strong><span style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">6 Kasim (2
saat):</span></strong></b> Kenar susleri ve kenar susu
gruplari.<strong><span style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">7 Kasim (2
saat): </span></strong></b>Altgruplar ve bolum gruplari.<strong><span
style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">8 Kasim (2
saat):</span></strong></b> Siniflandirma teoremi, 1.
kisim.<strong><span style="font-family:
"Verdana","sans-serif";"> </span></strong><b><br>
<strong><span style="font-family:
"Verdana","sans-serif";">9 Kasim (2
saat):</span></strong></b> Siniflandirma teoremi, 2.
kisim. </span></p>
<p class="MsoNormal" style="text-align: left;" align="left"> </p>
</body>
</html>