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Arkadaslar,<br>
Matematik Dunyasi'nin kapak konularinda 2007-III'ten beri, yani 3
yildir analiz yapiyoruz.<br>
Analiz konusunda 2007-III sayimizdan beri MD'de yayimlanan
yazilarimizin listesi asagida. Ayni liste ekteki excel dosyasinda da
var.<br>
Listeye goz atildiginda, az buz analiz yapilmadigi gorulecektir.<br>
Reel (gercel) sayilarin tanimindan, yani sifirdan baslayarak ve okurdan
hicbir onbilgi beklemeden ve tanimlanmadik hicbir kavrami,
kanitlanmadik hicbir sonucu kabul etmeden topoloji ve fonksiyonel
analizin temellerine kadar geldik.<br>
Teorik olarak bir ilkokul ogrencisinin de anlayabilmesi gerekir! Tek
varsayim belli bir seviyede matematiksel olgunluk.<br>
Turev ve integrale hic girmedik. Onumuzdeki birkac sayi boyunca bu
konulara yonelecegiz.<br>
Bundan sonra amacimiz soyut cebire yonelmekti ama genel istek uzerine
turev ve integral konularini islemeden analiz konusunu kapatmayacagiz.<br>
MD okuyan ogrencinin analizde sirti yere gelmez diye dusunuyorum.<br>
Yaz tatilinde ne yapacagim diye dusunen ogrencilere onerilir. (Bir de
Matematik Koyu var tabii...)<br>
En guzel gunler dileyerek.<br>
Ali Nesin<br>
<br>
<br>
<table style="border-collapse: collapse; width: 494pt;" border="0"
cellpadding="0" cellspacing="0" width="658">
<tbody>
<tr style="height: 15pt;" height="20">
<td class="xl66" style="height: 15pt; width: 88pt;" height="20"
width="117">Konu</td>
<td class="xl65" style="border-left: medium none; width: 53pt;"
width="70">Sayı</td>
<td class="xl66" style="border-left: medium none; width: 30pt;"
width="40">sayfa</td>
<td class="xl66" style="border-left: medium none; width: 323pt;"
width="431">Başlık</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Gerçel Sayılar</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">20</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Önce Felsefe</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Gerçel Sayılar</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">21-24</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Herkesin
Bildiği Basit Özellikler</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Gerçel Sayılar</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">25-27</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">R'nin
içindeki N, Z ve Q</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Gerçel Sayılar</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">28-31</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Üs Alma ve
Kök Bulma (1)</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Diziler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">32-38</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Yakınsak
Gerçel Sayılar Dizisi</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Diziler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">39-40</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Yakınsak
Diziler ve Sıralama</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Diziler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">41-44</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Yakınsak
Diziler ve Dört İşlem</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Diziler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">45-47</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Yakınsak
Dizi Örnekleri</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Diziler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">48-49</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Monoton
Diziler</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Diziler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">50-51</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Sonsuza
Giden Diziler</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Diziler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">52-54</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Cauchy
Dizileri</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Diziler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">55-56</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Altdiziler</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Gerçel Sayılar</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">57</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Gerçel
Sayıların Tamlığı</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Gerçel Sayılar</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">58-59</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Onluk Taban</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Gerçel Sayılar</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">60</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Üs Alma ve
Kök Bulma (2)</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Diziler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">61-62</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Alıştırmalar</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Diziler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">19-20</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Büzüşen
Diziler</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Gerçel Sayılar</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">21</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Kapalı
Kutular Teoremi</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Gerçel Sayılar</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">22-23</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Bolzano-Weierstrass
teoremi</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">exp</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">24-34</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Euler
Sabiti e ve exp Fonksiyonu</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">exp</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">35</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">e Kesirli
Bir Sayı Değildir</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">exp</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">36-38</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">exp(x+y)=exp
x exp y</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">exp</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2007-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">39</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">e'nin
Gösterimleri</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Diziler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-I</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">16-17</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Birkaç
Yakınsak Dizi Örneği Daha</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Diziler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-I</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">18-19</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">İlk Bakışta
Muamma Bir Dizi Örneği</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Diziler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-I</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">20-25</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Sonsuza
Iraksayan Diziler</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Gerçel Sayılar</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-I</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">26</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Sonsuzları
R'ye Eklemek</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Diziler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-I</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">27-31</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Dizilerin
Alt ve Üstlimitleri</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Seriler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-I</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">32-35</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Seriler</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Seriler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-I</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">36-37</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Serilerle
İlgili İki Basit Gözlem</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Seriler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-I</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">38-40</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Serilerin
Terimleriyle Oynamak</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Seriler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-I</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">41-43</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Pozitif
Seriler ve Mutlak Yakınsaklık</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Seriler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-I</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">44-47</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Serilerle
İşlemler ve Cauchy Çarpımı</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Seriler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">16-17</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Cesaro
Toplamı ve Ortalaması</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Seriler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">18-21</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">d'Alembert
Kriteri</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Seriler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">22-23</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Serilerle
Cauchy Kriteri</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Seriler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">24-25</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Cauchy-d'Alembert
Karşılaştırması</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Seriler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">26-27</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Yakınsaklık
Yarıçapı</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Seriler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">28-29</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Kuvvet
Serilerinin Türevleri</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Seriler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">30-32</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Riemann
Serisi ve Kriterleri</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Seriler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">33-35</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Raabe
Kriteri</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Seriler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">36-37</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Dalgalı
Seriler ve Leibniz Testi</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Seriler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">38</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Riemann
Düzenleme Teoremi</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Seriler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">39</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Abel
Yakınsaklık Kriteri</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Seriler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">40-41</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Seri
Alıştırmaları</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Süreklilik</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">17-25</td>
<td class="xl68"
style="border-top: medium none; border-left: medium none;">Süreklilik<span
style=""> </span></td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Süreklilik</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">26-29</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Tuhaf Bir
Fonksiyonun Süreksizliği</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Süreklilik</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">30-36</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Toplama,
Çarpma, Sıralama ve Süreklilik</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Süreklilik</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">37-38</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">exp
Fonksiyonu Süreklidir</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Süreklilik</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">39</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Fonksiyonların
Bileşkesi ve Süreklilik</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Süreklilik</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">40</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Diziler ve
Süreklilik</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Limit</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">41-48</td>
<td class="xl68"
style="border-top: medium none; border-left: medium none;">Limit<span
style=""> </span></td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Limit</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">49-51</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Sağdan
Soldan Limit</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Limit</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">52-57</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Limitler ve
Sonsuzlar</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Limit</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-III</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">58</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Limit
Alıştırmaları</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Limit</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">14-15</td>
<td class="xl68"
style="border-top: medium none; border-left: medium none;">Monoton
Fonksiyonların Limitleri<span style=""> </span></td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Süreklilik</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">16-21</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Aradeğer
Teoremi</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Süreklilik</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">22-23</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Sürekli
Fonksiyonların Uç Değerleri</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Süreklilik</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">24-29</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Fonksiyon
Genişletmek ve Üs Almak</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Fonksiyon dizileri</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">30-31</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Fonksiyon
Dizilerinin Noktasal Yakınsaması</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Fonksiyon dizileri</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">32-35</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Fonksiyon
Dizilerinin Düzgün Yakınsaması</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Fonksiyon dizileri</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">36-37</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Düzgün
Yakınsaklığın Düzgün Tanımı</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Fonksiyon dizileri</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">38-43</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Fonk(X, R)
Metrik Uzayı ve Düzgün Yakınsama</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Fonksiyon dizileri</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">44-46</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Süpnorm</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Fonksiyon dizileri</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">47</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Düzgün
Yakınsama ve Süreklilik</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Fonksiyon dizileri</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">48-50</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Weierstrass
M-Testi ve Testin Sonuçları</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Fonksiyon dizileri</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2008-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">51-53</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Trigonometrik
Fonksiyonlar ve Pi Sayısı</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Topoloji</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-I-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">19-23</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Bir Noktada
Süreklilik ve Komşuluk</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Topoloji</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-I-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">24-28</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Süreklilik
ve Açık Kümeler</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Topoloji</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-I-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">29-33</td>
<td>Topolojik Uzay<span style=""> </span></td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Topoloji</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-I-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">34-37</td>
<td class="xl67" style="border-left: medium none;">Topolojik
Uzayda Diziler ve Limitleri</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Topoloji</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-I-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">38-39</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Topolojik
Uzaylarda Sürekli Fonksiyonlar</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Topoloji</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-I-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">40-45</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Topoloji
Üretmek</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Topoloji</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-I-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">46-49</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">İndirgenmiş
Topoloji</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Topoloji</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-I-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">50-54</td>
<td>Çarpım Topolojisi</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Topoloji</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-I-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">55-57</td>
<td class="xl67" style="border-left: medium none;">Topolojik
Eşleşmeler (Homeomorfizmalar)</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Topoloji</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-I-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">58-62</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Kapalı
Kümeler ve Kapanış</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Topoloji</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-I-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">63-68</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Bağlantılılık</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Topoloji</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-I-II</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">69</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Ortaya
Karışık Topoloji Alıştırmaları</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Gerçel Sayılar</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-III-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">18-23</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">İçbükey-Dışbükey
Fonksiyonlar ve Üs Alma</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Gerçel Sayılar</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-III-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">24-26</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Logaritma
ve Üs Alma</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Gerçel Sayılar</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-III-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">27-29</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Eşitsizlikler
Geçidi</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Metrik Uzaylar</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-III-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">30-36</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Metrik
Uzaylar ve Metrik Uzay Örnekleri</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Metrik Uzaylar</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-III-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">37-39</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Metrik
Uzaylar ve Yuvarlar</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Metrik Uzaylar</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-III-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">40-44</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Metrik
Uzaylar ve Dizi Yakınsaklığı</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Metrik Uzaylar</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-III-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">45-48</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Cauchy
Dizileri ve Tam Metrik Uzaylar</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Metrik Uzaylar</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-III-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">49-53<span
style=""> </span></td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Topoloji ve
Diziler</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Metrik Uzaylar</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-III-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">54-57</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Metrik
Uzaylar ve Süreklilik</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Topoloji</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-III-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">58</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Çarpım
Topolojisinde Kapanış</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Metrik Uzaylar</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-III-IV</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">59-63</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Metrik
Uzayların Tamlaması</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Topoloji</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2009-III-IV</td>
<td>64-81</td>
<td>Tıkız Topolojik Uzaylar<span style=""> </span></td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Gerçel Sayılar</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2010-I</td>
<td class="xl67" style="border-left: medium none;">21-26</td>
<td class="xl67" style="border-left: medium none;">Cantor Kümesi</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Topoloji</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2010-I</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">27-31</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Baire
Kategori Teoremi</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Fonksiyon dizileri</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2010-I</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">32-40</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Fonksiyon
Kümeleri ve Noktasal ve Düzgün Yakınsaklık</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Seriler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2010-I</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">41-42</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Abel
Yakınsaklık Teoremi</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Seriler</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2010-I</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">43-47</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Genelleştirilmiş
Binom Açılımı</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Fonksiyon dizileri</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2010-I</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">48-49</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Dini
Teoremi ve Bir Uygulaması</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Fonksiyon dizileri</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2010-I</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">50-53</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Stone-Weierstrass
Teoremi</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Fonksiyon dizileri</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2010-I</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">54-55</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Bernstein
Polinomları</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Topoloji</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2010-I</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">56-58</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Urysohn
Önsavı</td>
</tr>
<tr style="height: 15pt;" height="20">
<td class="xl68" style="border-top: medium none; height: 15pt;"
height="20">Gerçel Sayılar</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">2010-I</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">59</td>
<td class="xl67"
style="border-top: medium none; border-left: medium none;">Bir Düzeltme</td>
</tr>
</tbody>
</table>
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