| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Mathematics II | OMP102 | Compulsory | Associate degree | 1 | Spring | 4 |
Name of Lecturer(s)
Prof. Dr. Ersin KAYAHAN
Prof. Dr. Ahmet Necati ÖZSEZEN
Associate Prof. Dr. Sinan AYDIN
Associate Prof. Dr. Murat Selim ÇEPNİ
Associate Prof. Dr. Hakan KÖYLÜ
Associate Prof. Dr. Aysen ŞİMŞEK KANDEMİR
Lecturer Eylem Nurşen AKBULUT
Lecturer Ümmühan AKHİSAR
Lecturer NEVIN ANTAR
Lecturer Ferit ARTKIN
Lecturer Akın ÇALIŞKAN
Lecturer Nejdet ERDEM
Lecturer Kazım KAHRAMAN
Lecturer Engin KARAMAN
Lecturer Erkan KOCAKAYA
Lecturer Evren KUTLU
Lecturer Mahluga MURADOĞLU
Lecturer Arif Onur ÖZTÜRK
Lecturer Türker SELÇUK
Lecturer Hüseyin TAŞAR
Lecturer Osman UYANIK
Lecturer Dr. Barış DEMİR
Lecturer Dr. Şebnem ERKEBAY
Lecturer Dr. Bülent KOPARAN
Learning Outcomes of the Course Unit
1) Make addition, substraction, division, multiplication operations with matrices
2) Solve linear equation systems
3) Take limits and comprehend continuity
4) Take derivatives and also apply derivatives to vacational lessons
5) Take integral and also apply integral to vacational lessons
6) Apply general mathematical knowledge to vacational lessons
Program Competencies-Learning Outcomes Relation
| Program Competencies | |||||||||||||||||||||||||||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | ||
| Learning Outcomes | |||||||||||||||||||||||||||||||||||||
| 1 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | Middle | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 2 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | Middle | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 3 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | Middle | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 4 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | Middle | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 5 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | Middle | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 6 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Mathematics I
Course Contents
This course provides students with the knowledge of linear equation systems and matrixes, four basic operations with matrixes, calculation of determinants, transpose of a matrix and adjoint matrix, inverse matrics, solving equation systems with using Crammer rule, the definition of limit, right and left hand side limits; indefiniteness of limits, the limits of exponentional and rational functions, continuity, the definition of derivative, physical and geometrical meanings of derivatives, the rules of taking derivatives, calculation of maximum and minimum of functions, addition, multiplication and division rules of derivatives, the equation of tangent, derivatives of the second degree functions, decreasing and increasing functions, examples about how to find intervals of decreasing and increasing functions, the definition of integral, the rules of taking integrals, separation of variables method, partial integration method, factorization of rational integrals into simple fractions method, calculation of area, calculation of volume, calculation of gravitional center.
Weekly Schedule
1) Linear equation systems and matrixes, addition, substraction and multiplication with matrixes2) Calculation of determinants,transpose of a matrix and adjoint matrix, sample problems
3) Inverse matrix
4) Solving equation systems using Crammer rule
5) The definition of limit, right and left hand side limits
6) Indefiniteness of limits, the limits of exponentional and rational functions
7) Continuity, examples
8) Midterm examination/Assessment
9) The definition of derivative, physical and geometrical meanings of limits; the rules of taking derivatives, examples, calculation of maximum and minimum of functions, examples
10) Addition, multiplication and division rules of derivatives, the equation of tangent
11) Derivatives of the second degree, decreasing and increasing functions
12) The definition of integral, the rules of taking integrals, separation of variables method, partial integration method
13) Calculation of rational integrals into simple fractions method
14) Calculation of area, calculation of volume, calculation of gravitional center
15) Solving problems about how they apply mathematics knowledge to their vacational lessons
16) Final examination
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Group Study
4) Lab / Workshop
5) Project Based Learning
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
40% |
|---|---|
Contribution of Final Examination to Course Grade |
60% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required