Course Name Code Semester T+U Hours Credit ECTS
Mathematics II MAT 116 2 3 + 0 3 5
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level Bachelor's Degree
Course Type Compulsory
Course Coordinator Yrd.Doç.Dr. SERPİL HALICI
Course Lecturers
Course Assistants Research asistants of Mathematics Department
Course Category
Course Objective 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
Course Content 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
# Course Learning Outcomes Teaching Methods Assessment Methods
1 He/ she recognizes the concept of the indefinite integral Problem Solving, Lecture, Question-Answer, Discussion, Drilland Practice, Testing, Homework,
2 He/ she applies the integral methods Discussion, Drilland Practice, Lecture, Problem Solving, Question-Answer, Homework, Testing,
3 He/ she recognizes the definite integral Problem Solving, Lecture, Drilland Practice, Question-Answer, Discussion, Testing, Homework,
4 He/ she recognizes the generalized integrals Discussion, Drilland Practice, Lecture, Problem Solving, Question-Answer, Homework, Testing,
5 He/ she interprets the properties of the generalized integrals Problem Solving, Question-Answer, Lecture, Discussion, Drilland Practice, Homework, Testing,
6 He/she recognizes functions of several variables Drilland Practice, Discussion, Lecture, Question-Answer, Problem Solving, Testing, Homework,
7 He/she solves limit and continuity at the function of several variables Question-Answer, Problem Solving, Lecture, Drilland Practice, Discussion, Homework, Testing,
Week Course Topics Preliminary Preparation
1 Indefinite integrals, methods of integrals, changing variables,partial integration.
2 Seperation of the simple fractions, integral of trigonometric functions
3 Integral of Irrational algebric functions, Binom integrals
4 Integrals of the radical expressions, Definition of definite integral
5 The problems of causing definite integral, Properties of definite integral
6 The method of changing variable, partial integral
7 Generalized integrals, nonspecific integrals, random examples
8 The convergence criterias of generalized integrals
9 Mid-term exam
10 Calculation of area, calculation of length of arc
11 Calculation of volume
12 Computation of surface area
13 The domains of functions of several variables
14 Limits and continuity of functions of several variables
Course Notes
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 Students gain an advanced and contemporary knowledge and practical skill after general or vocational high school qualification. To obtain an ability to support his/her knowledge and practical skill with technical sources and equipments and to use basic and principle technical terminology of metal technologies. Student gain an insight to the subject to analyze, discuss, evaluate and bring about solutions for the problems in metal technologies and related teaching subjects. He/She gains an ability to solve problems in metal technologies using general and foundational since and knowledge.
2 Student can gather and use data to solve well defined problems on metal technology subjects. He/She can efficiently use his or her practical and knowledge skills in practical applications. Students know general definitions of engineering drawing subject; he/she can read engineering drawings in metal technologies and also can design using computer programs. Students are familiar to measuring equipments used in metal technologies he/she has knowledge and practice to use and maintenance of measuring equipments.
3 Students know manufacturing processes in metal technologies sectors and can offer improvements when needed. He/she has knowledge of quality control processes and has practical skill to use quality control in metal manufacturing processes.
4 To gain theoretical and practical skills in joining of metallic materials, implementing quality control in welded structures and to give training on these subjects.
5 To obtain an adequate theoretical knowledge and practical skills on oxy-gas, electric arc welding and brazing techniques and to use these techniques in teaching and training in vocational schools. Tracing any faults of welding machines and providing for necessary maintenance and repairing.
6 Students have an adequate knowledge to offer solution for problems arising during welding of ferrous or non-ferrous materials and also provide suitable methods for welding.
7 Students gain skills for technical communication and team work with his/her colloquies and superior on subjects related to his/her teachings such as design and practice. He/she has an ability to use Turkish language effectively in his/her personal or official communication. He/She has skill to represent his company/institution, sharing technical and intuitional information in electronic environment by oral or written communication.
8 Gaining ability to self learning and also implementing his/her learning. To gain skill to conduct research on his/her subject personally and present results as technical reports. Monitoring new improvements and updating him/herself continuously and also updating and upgrading these improvements to his/her institution.
9 Having use of foreign languages can make communication and follow up new technologies in metal technologies
10 Having adequate computing skill to use wordprocessing, internet communication, CAD programs such as autocad, solidworks etc.
11 Having an adequate knowledge of health and safety in metal work sectors and also knowledge of social security, ethic values, quality assurance systems, management and environment.
12 Being aware of Atatürk’s principles and his revolutions.
13 Students have enough theoretical and practical knowledge of teaching on metal technology subjects.
14 Having ability to evaluate student’s progress and activities, he/she also provide for an environment to evaluate students each other. He/she can use and share the results obtained from evaluations to make improvements in teaching and training activities.
15 Having ability to self evaluate him/her self to make progress and improvements. Being open minded to ideas and improvements he/she supports him/her self and institutions. He/she has knowledge of law, regulation and policy related to his/her job and obeys all the rules accordingly. He/she has a respect and awareness of the environment and the society.
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 70
1. Kısa Sınav 12
1. Ödev 6
2. Kısa Sınav 12
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 2 32
Hours for off-the-classroom study (Pre-study, practice) 16 1 16
Mid-terms 1 10 10
Quiz 2 5 10
Assignment 1 5 5
Final examination 1 10 10
Total Workload 83
Total Workload / 25 (Hours) 3.32
dersAKTSKredisi 5