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
Resources
Course Notes
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 Having necessary knowledge and skills for performing his/her proficiency in the subject of motor Technologies and basic manufacturing processes X
2 Having the latest knowledge and skills for theoretical and practical applications of motor systems and principals
3 Having the latest knowledge and skills for theoretical and practical applications of vehicle systems
4 Having the latest knowledge and skills for performing tests, control and maintenance of motor/vehicle systems and hardware
5 Having the latest knowledge and skills for diagnostics and renovation processes of vehicle/motor systems
6 Having the latest knowledge in Science and Engineering X
7 Having the latest knowledge and skills in the area of electric-electronic-computer for performing tasks related to his/her proficiency
8 Having foreign language skills and knowledge for making tasks related to his/her proficiency
9 Having the latest knowledge and skills for making design and research projects in his/her area X
10 Having the latest knowledge and skills in the area of servicing/management/job security related to his/her proficiency
11 Having the latest knowledge and skills for performing tasks in teaching and education in his/her area
12 Having necessary knowledge for performing tasks in the automobile industry
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