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<p class="MsoNormal" style="margin-bottom: 15pt; text-align: left;"
align="left"><span style="font-size: 12pt; font-family:
"Times New Roman","serif";"><br>
</span>Konu:Ayrik Matematikte Cebirsel ve Analitik Yontemler <br>
<br>
Tarih: 5-13 Kasim 2011 (Kurban Bayrami) <br>
<br>
Hedef Kitle: Lise ve matematik bolumu lisans ogrencileri <br>
<br>
Onbilgi: Liselilerden ortalamanin ustunde bir matematiksel
olgunluk, <br>
ilgi ve soyutlama becerisi gerekmektedir. Universite
ogrencilerinin bu <br>
yetilere sahip olduklari varsayilacaktir. <br>
<br>
Ucret: 4 ogun yemek, cay, su ve temel ihtiyaclar dahil kisilere
gunluk <br>
50 TL, kurumlara gunluk 70 TL'dir. Ihtiyaci olanlara ihtiyaclari
kadar <br>
destek verilecektir. <br>
<br>
Basvuru: Basvuru formunu <a
href="mailto:emelaydin@nesinvakfi.org">emelaydin@nesinvakfi.org</a>
<br>
<a href="mailto:emelaydin@nesinvakfi.org"><mailto:emelaydin@nesinvakfi.org></a>
adresine mail ile gondermelisiniz. <br>
Basvurunuzun ulastigina dair bir onay mesaji gonderilecektir.
Ogrenci <br>
basvuru formu icin tiklayin. <br>
<a
href="http://matematikkoyu.org/files/efm/files/Lise_Basvuru_2011.doc"><http://matematikkoyu.org/files/efm/files/Lise_Basvuru_2011.doc></a>
<br>
Ogretmen basvuru formu icin tiklayin <br>
<a
href="http://matematikkoyu.org/files/efm/files/Ogretmen_Basvuru_2011.doc"><http://matematikkoyu.org/files/efm/files/Ogretmen_Basvuru_2011.doc></a>.
<br>
Universite ogrencileri basvuru formu icin tiklayin. <br>
<a
href="http://matematikkoyu.org/files/efm/files/Lisans_Lisansustu_Basvuru_yeni.doc"><http://matematikkoyu.org/files/efm/files/Lisans_Lisansustu_Basvuru_yeni.doc></a>
<br>
Eger uc dort gun icinde mesaj almamissaniz lutfen bir daha yazin,
<br>
basvurunuz muhtemelen elimize gecmemistir <br>
<br>
Kayit: Belli araliklarla basvurular degerlendirilir ve sonuclari <br>
e-postayla iletilir. Odeme ve kayitla ilgili tum islemler
basvurunuz <br>
kabul edildikten sonra yapilacaktir. <br>
<br>
Not: Calistay'a 1'inci siniftan 4'uncu sinifa kadar tum lise
ogrencileri <br>
ve lise ogretmenleri ve lisans ogrencileri katilabilir. <br>
<br>
Dersler: <br>
<br>
Ali Nesin, Cizgeler Kurami ve Cebir <br>
Genel Hatlar: Cizgeler kuraminda kullanilan bazi cebirsel
yontemler <br>
aciklanacaktir. Bunu yaparken grup teorisinin ve grup etkimesinin
temel <br>
kavramlarini uygulamali olarak gorecegiz. <br>
Onbilgi: Herhangi bir soyut cebir bilgisine gerek yoktur. <br>
Izlenecek Kitap: Chris Godsil ve Gordon Royle, Algebraic Graph
Theory, <br>
Springer, Graduate Texts 207, 2001. <br>
Ayrintili Izlence <br>
5 Kasim (2 saat): Cizgeler, otomorfizma gruplari ve ornekler <br>
6 Kasim (2 saat): Permutasyon gruplari ve asimetrik cizge
yogunlugu <br>
7 Kasim (2 saat): Orbitler, primitiflik, baglantililik <br>
8 Kasim (2 saat): Gecisli cizgeler, kenar baglantililigi <br>
9 Kasim (2 saat): Kose baglantililigi. Esleme (matching). <br>
10 Kasim (4 saat): Hamilton yollari ve donguler; Hamilton
donguleri <br>
olmayan yonlendirilmis Cayley cizgeleri <br>
11 Kasim (4 saat): Buzulmeler. Simetrik grubunun uretecleri
uzerine <br>
12 Kasim (4 saat): Yay-gecisli cizgeler. Petersen cizgesi. <br>
Mesafe-gecisli cizgeler. Coxeter cizgeleri. Tutte 8-cizgesi. <br>
13 Kasim (4 saat): Genellestirilmis dortgenler, izdusum
geometrisi, <br>
genellestirilmis cokgenler. Feit-Higman teoremi. <br>
<br>
Ozlem Beyarslan, Rastgele Cizgeler Kurami <br>
Genel Hatlar: Rastgele cizgeler kuramina giris niteliginde bir
ders <br>
olacaktir. <br>
Izlenecek Kitap: J. Spencer, Strange Logic of Random Graphs. <br>
Ayrintili Izlence <br>
5 Kasim (2 saat): Olasilik teorisinin temel ilkeleri <br>
6 Kasim (2 saat): Cizgeler I <br>
7 Kasim (2 saat): Cizgeler II <br>
8 Kasim (2 saat): Rastgele cizge G(n,p) <br>
9 Kasim (2 saat): Biraz mantik <br>
10 Kasim (2 saat): Sifir-bir yasasi <br>
11 Kasim (2 saat): Erenfeucht-Mostowski Oyunlari ve kazanma
stratejileri <br>
12 Kasim (2 saat): Ornekler <br>
13 Kasim (2 saat): Rastgele yontemler nasil ise yarayabiliri <br>
<br>
Selcuk Demir, Olasilik Kurami <br>
Genel Hatlar: Sonlu olasiliklar, olasilik kuraminin temelleri <br>
Izlenecek Kitap: Y.A. Rozanov,Probablity Theory: A Concise Course
<br>
Ayrintili Izlence <br>
5 Kasim (2 saat): Olaylar, temel olasilik. <br>
6 Kasim (2 saat): Kombinatorik analizin temelleri <br>
7 Kasim (2 saat): Elemanter olaylar, ornekleme uzayi <br>
8 Kasim (2 saat): Olasiliklarin toplanma kurali, ornekler <br>
9 Kasim (2 saat): Istatistiksel bagimsizlik <br>
10 Kasim (2 saat): Ayrik ve surekli rastsal degiskenler,
dagilimlar <br>
11 Kasim (2 saat): Beklenti, Chebyshev esitsizligi <br>
12 Kasim (2 saat): Bazi onemli olasilik dagilimlari <br>
13 Kasim (2 saat): Ornekler <br>
<br>
Sonat Suer, Periyodik Kenar Suslerinin Siniflandirilmasi <br>
Genel Hatlar: Dersin amaci temel grup teorisine somut bir ornek <br>
uzerinden giris yapmaktir. <br>
Onbilgi: Ogrencilerin cebir bilmesine gerek yoktur. <br>
Izlenecek Kitap: Algebra and Geometry, Alan F. Beardon, Cambridge
<br>
University Press. <br>
Ayrintili Izlence <br>
5 Kasim (2 saat): Simetrinin tanimi, duzlemin simetrileri. <br>
6 Kasim (2 saat): Kenar susleri ve kenar susu gruplari. <br>
7 Kasim (2 saat): Altgruplar ve bolum gruplari. <br>
8 Kasim (2 saat): Siniflandirma teoremi, 1. kisim. <br>
9 Kasim (2 saat): Siniflandirma teoremi, 2. kisim.<span
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