Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
COMPLEX ANALYSIS I MAT 301 5 3 + 0 3 5
Ön Koşul Dersleri Advised to take the Analysis IV
 Dersin Dili Türkçe Dersin Seviyesi Lisans Dersin Türü ZORUNLU Dersin Koordinatörü Doç.Dr. SELMA ALTUNDAĞ Dersi Verenler Doç.Dr. SELMA ALTUNDAĞ Dersin Yardımcıları Research assistants of functions theory and functional analysis discipline Dersin Kategorisi Dersin Amacı To introduce Complex numbers, their notations and properties and introduction of the complex functions theory. The conceptions of limit,continuity,complex differentation and entire functions and theorems related with these and applications.Complex sequences and series. Fundamental functions and to analysis their properties. Dersin İçeriği Complex numbers,topology of the complex plane,Complex sequences and series,complex functions,limit,continuity and derivative of these functions,Cauchy-Riemann equations,Entire functions,Exponential, logarithmic,trigonometric and hyperbolic functions.
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - He/she distinguishes the relationship between the complex and real numbers. 1 - 2 - 3 - 4 - 9 - 15 - A - C - 2 - He/she interprets the topology of complex plane. 1 - 2 - 3 - 4 - 9 - 15 - A - C - 3 - He/she expresses the complex sequences and series. 1 - 2 - 3 - 4 - 9 - 15 - A - C - 4 - He/she applies the rules of limit, continuity and the complex differentation. 1 - 2 - 3 - 4 - 9 - 15 - A - C - 5 - He/she interprets the holomorphic functions. 1 - 2 - 3 - 4 - 9 - 15 - A - C - 6 - He/she applies the complex functions properties. 1 - 2 - 3 - 4 - 9 - 15 - A - C - 7 - He/she explains the complex numbers and their properties. 1 - 2 - 3 - 4 - 9 - 15 - A - C -
 Öğretim Yöntemleri: 1:Lecture 2:Question-Answer 3:Discussion 4:Drilland Practice 9:Simulation 15:Problem Solving Ölçme Yöntemleri: A:Testing C:Homework

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 Complex numbers and properties
2 Topology of the complex plane
3 Sequence of complex numbers
4 Series of the complex numbers
5 Complex valued functions
6 Limit and Continuity
7 Complex Differentation
8 Cauchy-Riemann equations and entire functions
9 Mid-term exam
10 Complex Exponential function
11 Complex power functions
12 Complex logarithmic function,
13 Complex ,trigonometric function
14 Complex hyperbolic function

#### Kaynaklar

Ders Notu [1] Başarır,Metin; Kompleks Değişkenli Fonksiyonlar Teorisi, Sakarya Kitabevi, 2010 , Sakarya.
Ders Kaynakları [2] Başkan,Turgut; Kompleks Fonksiyonlar Teorisi, Uludağ Üni. Yay., 1996 , Bursa .
[3] Churchill,R.V.,James W.B.,Roger F.V., ; Compleks variables and applications, McGrav-Hill,1990, N.Y

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 He/ she has the ability to use the related materials about mathematics, constructed on competency, achieved in secondary education and also has the further knowledge equipment. X
2 Evaluating the fundamental notions, theories and data with academic methods, he/ she determines and analyses the encountered problems and subjects, exchanges ideas, improves suggestions propped up proofs and inquiries.
3 He/ she has the competency of executing the further studies of undergraduate subjects independently or with shareholders. X
4 He/ she follows up the knowledge of mathematics and has the competency of getting across with his (or her) professional colleagues within a foreign language.
5 He/ she has the knowledge of computer software information as a mathematician needs. X
6 He/ she has scientific and ethic assets in the phases of congregating, annotating and announcing the knowledge about mathematics.
7 He/ she has the ability to make the mathematical models of contemporary problems and solving them. X
8 He/ she uses the ability of abstract thinking. X

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 50
KisaSinav 1 13
KisaSinav 2 12
Odev 1 25
Toplam 100
Yıliçinin Başarıya Oranı 50
Finalin Başarıya Oranı 50
Toplam 100

#### AKTS - İş Yükü

Etkinlik Sayısı Süresi(Saat) Toplam İş yükü(Saat)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 3 48
Mid-terms 1 10 10
Quiz 2 5 10
Assignment 1 5 5
Final examination 1 15 15
Toplam İş Yükü 136
Toplam İş Yükü /25(s) 5.44
Dersin AKTS Kredisi 5.44
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