Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
ANALYSIS II MAT 102 2 4 + 2 5 7
Ön Koşul Dersleri Analysis I
 Dersin Dili Türkçe Dersin Seviyesi Lisans Dersin Türü ZORUNLU Dersin Koordinatörü Dr.Öğr.Üyesi AYNUR ŞAHİN Dersi Verenler Dersin Yardımcıları Research assistants of Mathematics Department Dersin Kategorisi Alanına Uygun Temel Öğretim Dersin Amacı To teach indefinite integral, methods of indefinite integral,Properties of the Riemann integral, Theorems related with the Riemann integral,Applications of the Riemann integral (Calculation of Area, length of arc, volume and surface area), Generalized integrals and their properties Dersin İçeriği Indefinite integral, methods of the indefinite integrals,Properties of the Riemann integral and related theorems,Applications of Riemann integral (Calculation of Area, length of arc, volume and surface area ),The Generalized integrals and properties.
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - He/ she recognizes the concept of the indefinite integral. 1 - 2 - 3 - 4 - 15 - A - C - 2 - He/ she applies the integral methods. 1 - 2 - 3 - 4 - 15 - A - C - 3 - He/ she recognizes the Riemann integral. 1 - 2 - 3 - 4 - 15 - A - C - 4 - He/ she interprets the theorems related with the Riemann integral. 1 - 2 - 3 - 4 - 15 - A - C - 5 - He/ she explains the applications of the Riemann integral. 1 - 2 - 3 - 4 - 15 - A - C - 6 - He/ she recognizes the generalized integrals. 1 - 2 - 3 - 4 - 15 - A - C - 7 - He/ she interprets the properties of the generalized integrals. 1 - 2 - 3 - 4 - 15 - A - C -
 Öğretim Yöntemleri: 1:Lecture 2:Question-Answer 3:Discussion 4:Drilland Practice 15:Problem Solving Ölçme Yöntemleri: A:Testing C:Homework

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 Indefinite integrals
2 Methods of integrals, changing variables,partial integration.
3 Seperation of the simple fractions, Reduction formulas
4 Binom integrals and their properties.
5 Integrals of the radical expressions, introduction of the Riemann integral.
6 Integrations of the stairs functions
7 Properties of the Riemann integral
8 Fundamental theorem of integration and other theorems
9 Mid-term exam
10 Applications of the Riemann integral, Calculation of Area
11 Calculation of length of arc and volume
12 To compute the surface area and moment.
13 Generalized integrals, Ith ,IIth Kind of integrals
14 Generalized integrals ; IIIth Kind of integrals

#### Kaynaklar

Ders Notu [1] Balcı, Mustafa; Matematik Analiz II, Ank Üni. Fen Fak. Yayınları, No 142, Ankara.
Ders Kaynakları [2] Binali Musayev, Murat Alp, Nizami Mustafayev; Teori ve çözümlü Problemlerle Analiz I-II, Tek Ağaç Eylül Yay. 2003, Ankara.

#### 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. X
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. X
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. X
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 12
Odev 1 25
KisaSinav 2 13
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 6 96
Hours for off-the-classroom study (Pre-study, practice) 16 2 32
Mid-terms 1 15 15
Quiz 2 7 14
Assignment 1 10 10
Final examination 1 15 15
Toplam İş Yükü 182
Toplam İş Yükü /25(s) 7.28
Dersin AKTS Kredisi 7.28
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