Course Name Code Semester T+U Hours Credit ECTS
Mathematics-II MAT 112 2 4 + 0 4 6
Precondition Courses Mathematics I
Recommended Optional Courses
Course Language Turkish
Course Level Bachelor's Degree
Course Type Compulsory
Course Coordinator Dr.Öğr.Üyesi MEHMET GÜNER
Course Lecturers Dr.Öğr.Üyesi MEHMET GÜNER,
Course Assistants Research Assistants in 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. Lecture, Question-Answer, Discussion, Testing, Homework,
2 He/ she applies the integral methods Question-Answer, Discussion, Drilland Practice, Problem Solving, Testing, Homework,
3 He/ she recognizes the definite integral . Question-Answer, Discussion, Drilland Practice, Problem Solving, Testing, Homework,
4 He/ she recognizes the generalized integrals. Lecture, Question-Answer, Discussion, Testing, Homework,
5 He/ she interprets the properties of the generalized integrals. Question-Answer, Discussion, Drilland Practice, Brain Storming, Problem Solving, Testing, Homework,
6 He/she recognizes functions of several variables. Lecture, Question-Answer, Discussion, Testing, Homework,
7 He/she solves limit and continuity at the function of several variables Question-Answer, Discussion, Drilland Practice, Problem Solving, Testing, Homework,
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 MIDTERM 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 Öğretim Üyelerinin ders notları
Course Resources 1-Yüksek Matematik 1-2 H.Halilov, A.Hasanoğlu, M.Can
2-Temel ve Genel Matematik M.Balcı, H.Hacısalihoğlu, F.Gökdal
3-Genel Matematik I- II Prof. H.Arıkan, Yrd.Doç.Dr. İ.Özgür, Yrd.Doç.Dr. Ö.F. Gözükızıl
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 Having enough background in engineering topics related to mathematics, science and their fields. Skill of using theoretical and applied knowledge with engineering solutions in the field, X
2 Identifing, determining, formulating and solving engineering problems. With this purpose choosing and applying analytical methods and modelling techniques, X
3 To analyze a system, a part of a system or a process itself and the skill of design under the given constrains in order to fulfill the specifications. In that direction, the skill of applying modern design techniques X
4 Skill of choosing and applying the modern techniques and vehicles needed by the engineering applications. Skill of using the information technology effectively. X
5 Skill of designing and performing an experiment, data acquisition, analyzing and interpreting results,
6 Ability of accessing information and doing research. Skill of using databases and other information sources.
7 Effective working ability both as an individual and as a part of a multi-disciplinary team, self-esteem on taking responsibility, X
8 Ability to make oral or written communication in Turkish. At least one foreign language knowledge, X
9 Consciousness of the necessity of the life time learning, following the developments in science and technology and ability of ones’ continous self renewal. X
10 Consciousness of occupational and ethical responsability, X
11 Consciousness on the subjects of project management, field applications, employees health, environment and work safety; awareness on legal consequences of engineering applications, X
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 8 8
Quiz 2 1 2
Assignment 1 5 5
Final examination 1 15 15
Total Workload 158
Total Workload / 25 (Hours) 6.32
dersAKTSKredisi 6