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<![endif]-->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>
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