Course Name Code Semester T+U Hours Credit ECTS
Mathematics II MAT 112 2 4 + 0 4 6
Precondition Courses
Recommended Optional Courses
Course Language English
Course Level Bachelor's Degree
Course Type Compulsory
Course Coordinator Doç.Dr. AYNUR ŞAHİN
Course Lecturers Doç.Dr. SELMA ALTUNDAĞ, Prof.Dr. SOLEY ERSOY, Doç.Dr. MURAT SARDUVAN, Doç.Dr. MAHPEYKER ÖZTÜRK, Doç.Dr. MURAT GÜZELTEPE, Doç.Dr. MAHMUT AKYİĞİT, Doç.Dr. YALÇIN YILMAZ, Prof.Dr. ÖMER FARUK GÖZÜKIZIL, Prof.Dr. METİN BAŞARIR, Prof.Dr. MEHMET ÖZEN, Prof.Dr. REFİK KESKİN, Dr.Öğr.Üyesi MEHMET GÜNER, Prof.Dr. MEHMET ALİ GÜNGÖR, Doç.Dr. AYNUR ŞAHİN, Dr.Öğr.Üyesi HİDAYET HÜDA KÖSAL, Öğr.Gör.Dr. EMİNE ÇELİK,
Course Assistants

Research Assistants in mathematics department

Course Category Available Basic Education in the Field
Course Objective

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.

Course Content

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.

# Course Learning Outcomes Teaching Methods Assessment Methods
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,
Week Course Topics Preliminary Preparation
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.
Resources
Course Notes <p>Lecture Notes</p>
Course Resources

[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.

Order Program Outcomes Level of Contribution
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.
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 70
1. Kısa Sınav 10
2. Kısa Sınav 10
3. Kısa Sınav 10
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
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
Total Workload 162
Total Workload / 25 (Hours) 6.48
dersAKTSKredisi 6