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 Turkish
Course Level Bachelor's Degree
Course Type Compulsory
Course Coordinator Dr.Öğr.Üyesi AYNUR ŞAHİN
Course Lecturers Prof.Dr. SOLEY ERSOY, Doç.Dr. MURAT SARDUVAN, Doç.Dr. MUSTAFA ERÖZ, Doç.Dr. MAHPEYKER ÖZTÜRK, Doç.Dr. MURAT GÜZELTEPE, Doç.Dr. MAHMUT AKYİĞİT, Doç.Dr. YALÇIN YILMAZ, Prof.Dr. ÖMER FARUK GÖZÜKIZIL, Prof.Dr. ŞEVKET GÜR, Prof.Dr. MEHMET ÖZEN, Prof.Dr. REFİK KESKİN, Dr.Öğr.Üyesi MEHMET GÜNER, Prof.Dr. MEHMET ALİ GÜNGÖR, Dr.Öğr.Üyesi EMRE KİŞİ, 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. , , , , ,
2 He/ she applies the integral methods , , , , ,
3 He/ she recognizes the definite integral . , , , , ,
4 He/ she recognizes the generalized integrals. , , , , ,
5 He/ she interprets the properties of the generalized integrals. , , , , ,
6 He/she recognizes functions of several variables. , , , , ,
7 He/she solves limit and continuity at the function of several variables. , , , , ,
8 , , , , ,
9 , , , , ,
10 , , , , ,
11 , , , , ,
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 -Engineering graduates with sufficient knowledge background on science and engineering subjects of their related area, and who are skillful in implementing theoretical and practical knowledge for modelling and solving engineering problems. X
2 -Engineering graduates with skills in identifying, describing, formulating and solving complex engineering problems, and thus,deciding and implementing appropriate methods for analyzing and modelling. X
3 -Engineering graduates with skills in designing a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; for this purpose, skills in implementing modern design methods.
4 -Engineering graduates with skills in developing, selecting and implementing modern techniques and tools required for engineering applications as well as with skills in using information technologies effectively.
5 -Engineering graduates with skills in designing and conducting experiments, collecting data, analyzing and interpreting the results in order to evaluate engineering problems.
6 -Engineering graduates who are able to work within a one discipline or multi-discipline team,as well as who are able to work individually
7 -Engineering graduates who are able to effectively communicate orally and officially in Turkish Language as well as who knows at least one foreign language
8 -Engineering graduates with motivation to life-long learning and having known significance of continuous education beyond undergraduate studies for science and technology
9 -Engineering graduates with well-structured responsibilities in profession and ethics
10 -Engineering graduates having knowledge about practices in professional life such as project management, risk management and change management, and who are aware of innovation and sustainable development.
11 -Engineering graduates having knowledge about universal and social effects of engineering applications on health, environment and safety, as well as having awareness for juridical consequences of engineering solutions.
Evaluation System
Semester Studies Contribution Rate
1. Kısa Sınav 10
1. Ödev 10
Total 20
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