Ders Adı Kodu Yarıyıl T+U Saat Kredi AKTS
Mathematıcs II MAT 112 2 4 + 0 4 6
Ön Koşul Dersleri
Önerilen Seçmeli Dersler
Dersin Dili İngilizce
Dersin Seviyesi Lisans
Dersin Türü Zorunlu
Dersin Koordinatörü Doç.Dr. AYNUR ŞAHİN
Dersi Verenler Doç.Dr. SELMA ALTUNDAĞ, Prof.Dr. SOLEY ERSOY, Doç.Dr. MAHPEYKER ÖZTÜRK, Prof.Dr. MURAT GÜZELTEPE, Doç.Dr. MAHMUT AKYİĞİT, Doç.Dr. YALÇIN YILMAZ, Prof.Dr. METİN YAMAN, Prof.Dr. REFİK KESKİN, Dr.Öğr.Üyesi MEHMET GÜNER, Prof.Dr. MEHMET ALİ GÜNGÖR, Dr.Öğr.Üyesi EMRE KİŞİ, Doç.Dr. AYNUR ŞAHİN, Dr.Öğr.Üyesi HİDAYET HÜDA KÖSAL, Öğr.Gör.Dr. EMİNE ÇELİK,
Dersin Yardımcıları

Research Assistants in mathematics department

Dersin Kategorisi Alanına Uygun Temel Öğretim
Dersin Amacı

To teach indefinite integral, methods of indefinite integral, Characteristics 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 characteristics, functions of several variables.

Dersin İçeriği

Indefinite integral and methods for calculating integrals, Properties of definite intagral and related theorems, applications of definite integral (calculating Area, arc length, volume, surface area), Generalized integrals and their properties, multi-variable functions.

# Ders Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri
1 He/ she recognizes the concept of the indefinite integral. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
2 He/ she applies the integral methods Lecture, Drilland Practice, Problem Solving, Testing, Homework,
3 He/ she recognizes the definite integral . Lecture, Drilland Practice, Problem Solving, Testing, Homework,
4 He/ she recognizes the generalized integrals. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
5 He/ she interprets the properties of the generalized integrals. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
6 He/she recognizes functions of several variables. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
7 He/she solves limit and continuity at the function of several variables. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
8 Lecture, Drilland Practice, Problem Solving, Testing, Homework,
9 Lecture, Drilland Practice, Problem Solving, Testing, Homework,
10 Lecture, Drilland Practice, Problem Solving, Testing, Homework,
11 Lecture, Drilland Practice, Problem Solving, Testing, Homework,
Hafta Ders Konuları Ön Hazırlık
1 Indefinite integrals, methods of integrals, changing variables.
2 Partial integration method. Integral of rational functions.
3 Integral of trigonometrical expressions.
4 Integral of Irrational algebraic functions, Binom integrals Various changing variables.
5 Concept of definite integral. The problems of causing definite integral. Definition of definite integral.
6 Calculation of definite integral with the help of its definition. Proof of basic integration rules.
7 Basic theorİes of integral calculation. Changing variables methods in definite integral.
8 Partial integration method for definite integrals. Integral of some special defined functions.
9 Calculation of area,
10 Calculation of volume with definite integral
11 Calculation of volume with definite integral
12 Calculation of length of arc, Computation of surface area of rotated objects.
13 Generalized integrals.
14 Calculation of area and volume with generalized integral.
Kaynaklar
Ders Notu <p>Lecture Notes</p>
Ders Kaynakları

[1] Thomas, G.B., Thomas Calculus, 11.baskı, çeviri:Recep Korkmaz, Beta Basım, 2010.
[2] Kadıoğlu, E., Kamali, M., Genel Matematik, Kültür Eğitim Vakfı, 2009.
[3] Can, M., Yüksek Matematik 1, Literatür, 2009.
[4] Balcı, M., Genel Matematik 1, Sürat Yayınları, 2012.

Sıra Program Çıktıları Katkı Düzeyi
1 2 3 4 5
1 To have sufficient foundations on engineering subjects such as science and discrete mathematics, probability/statistics; an ability to use theoretical and applied knowledge of these subjects together for engineering solutions.
2 An ability to determine, describe, formulate and solve engineering problems; for this purpose, an ability to select and apply proper analytic and modeling methods,al background in describing, formulating, modeling and analyzing the engineering problem, with a consideration for appropriate analytical solutions in all necessary situations.
3 An ability to select and use modern techniques and tools for engineering applications; an ability to use information technologies efficiently.
4 An ability to analyze a system, a component or a process and design a system under real limits to meet desired needs; in this direction, an ability to apply modern design methods.
5 An ability to design, conduct experiment, collect data, analyze and comment on the results and consciousness of becoming a volunteer on research.
6 Understanding, awareness of administration, control, development and security/reliability issues about information technologies.
7 An ability to work efficiently in multidisciplinary teams, self confidence to take responsibility.
8 An ability to present himself/herself or a problem with oral/written techniques and have efficient communication skills; know at least one extra language.
9 An awareness about importance of lifelong learning; an ability to update his/her knowledge continuously by means of following advances in science and technology.
10 Understanding, practicing of professional and ethical responsibilities, an ability to disseminate this responsibility on society.
11 An understanding of project management, workplace applications, health issues of laborers, environment and job safety; an awareness about legal consequences of engineering applications.
12 An understanding universal and local effects of engineering solutions; awareness of entrepreneurial and innovation and to have knowledge about contemporary problems.
Değerlendirme Sistemi
Yarıyıl Çalışmaları Katkı Oranı
1. Ara Sınav 70
1. Kısa Sınav 10
2. Kısa Sınav 10
3. Kısa Sınav 10
Toplam 100
1. Yıl İçinin Başarıya 50
1. Final 50
Toplam 100
AKTS - İş Yükü Etkinlik Sayı Süre (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 4 64
Mid-terms 1 10 10
Quiz 2 2 4
Assignment 1 10 10
Final examination 1 10 10
Toplam İş Yükü 162
Toplam İş Yükü / 25 (Saat) 6,48
Dersin AKTS Kredisi 6