Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
GENERAL MATHEMATICS II MAT 122 2 4 + 0 4 6
 Dersin Dili Türkçe Dersin Seviyesi Lisans Dersin Türü ZORUNLU Dersin Koordinatörü Prof.Dr. SOLEY ERSOY Dersi Verenler Dersin Yardımcıları Research Assistants in mathematics department Dersin Kategorisi Dersin Amacı To teach indefinite integral, methods of indefinite integral,Properties of the 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, functions of several variables. 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, functions of several variables, first order differential equations.
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - He/ she recognizes the concept of the indefinite integral 1 - 2 - 3 - A - C - 2 - He/ she applies the integral methods 2 - 3 - 4 - 15 - A - C - 3 - He/ she recognizes the definite integral . 1 - 2 - 3 - 4 - 15 - A - C - 4 - He/ she recognizes the generalized integrals. 1 - 2 - 3 - 4 - 15 - A - C - 5 - He/ she interprets the properties of the generalized integrals. 2 - 3 - 4 - 15 - A - C - 6 - He/she recognizes functions of several variables. 1 - 2 - 3 - 15 - A - C - 7 - He/she solves limit and continuity at the function of several variables 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, methods of integrals, changing variables,partial integration. [1] Page 211-225
2 Seperation of the simple fractions, integral of trigonometric functions [1] Page 227-251
3 Integral of Irrational algebric functions, Binom integrals [1] Page 253-259
4 Integrals of the radical expressions, Definition of definite integral [1] Page 265-270
5 The problems of causing definite integral, Properties of definite integral [1] Page 272-274
6 The method of changing variable, partial integral [1] Page 274-278
7 Generalized integrals, nonspecific integrals, random examples [1] Page 337-349
8 The convergence criterias of generalized integrals [1] Page 337-349
9 Mid-term exam
10 Calculation of area, calculation of length of arc [1] Page 293-300
11 Calculation of volume [1] Page 304-310
12 Computation of surface area [1] Page 318-323
13 The domains of functions of several variables, limits and continuity of functions of several variables
14 Fundamental concepts of first order and first degree differential equations

#### Kaynaklar

Ders Notu [1] Mustafa Balcı, Analiz I, Balcı yayınları, 2003, Ankara.
Ders Kaynakları [2] Thomas/Finney ( çeviren, Recep Korkmaz,İTÜ), Calculus I, Beta yayınları, İstanbul, 2000.
[3] 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 Informs the experienced and non experienced listener groups about the subjects related to chemistry and clearly transfers the ideas, problems and solution techniques written and orally. X
2 Shows the capability of doing advance level scientific studies independently by critical thought and learning to learn. X
3 Produces the solutions by taking the responsibilities in the case of complex situations which is unpredictable in advance in chemistry area applications.
4 Plans activities and directs them to improve the ability of his or her workers in industry in the field of chemistry. X
5 Has enough foreign language knowledge to be able to follow the new technologies related to her/his area and to be able to communicate with her/his colleagues.
6 In addition to having knowledge at satisfactory level about computer hardware, software, data processing, uses information and communication technologies which is necessary for her/his area.
7 Protects the social ethical values at the stage of collection, evaluation and publishing of data related to chemistry area.
8 Has enough knowledge and consciousness about job security, health of workers, social security rights, quality control and management and environmental protection.
9 Understands the industrial process and solves the problems faced in chemistry area.
10
11 X

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 60
KisaSinav 1 15
Odev 1 10
KisaSinav 2 15
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 4 64
Hours for off-the-classroom study (Pre-study, practice) 16 2 32
Mid-terms 1 15 15
Quiz 2 10 20
Assignment 1 5 5
Final examination 1 15 15
Toplam İş Yükü 151
Toplam İş Yükü /25(s) 6.04
Dersin AKTS Kredisi 6.04
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