Information Package / Course Catalogue
| Course Code | : MAT103 |
| Course Type | : Required |
| Couse Group | : First Cycle (Bachelor's Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 2 |
| Prt. | : 2 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 6 |
1. To familiarize students with mathematical thinking according to new disciplines. 2. To give students axiomatic approximations. 3. Introducing proof methods and giving theorems and properties related to the use of these methods. 4. To introduce some concepts of algebraic structure. 5. To develop students' existing skills in solving problems and interpreting the solutions obtained. 6. To help students perceive abstract and difficult to understand concepts.
Symbolic logic, Propositions, Proof methods for theorems, The concept of sets, Quantification logic, Open propositions and open propositions in two variables, Algebra of sets, Finite and infinite sets, Family of sets, Decomposition and cover of sets, Relations, Relation properties, Partial order relations, Equivalence relations, Equivalence classes, Functions, Binary operations, Algebraic systems.
| Prof. Semra DOĞRUÖZ |
| 1. | To be able to comprehend necessary terminologies for symbolic logic and correlate with sets that are essential in daily life. |
| 2. | To be able to gain the ability to abbraviate problems by using fundamental properties of logical equivalence and compound proposition. |
| 3. | To be able to improve the ability to solve scientific problems that may also be encountered in other disiplines through mathematical proof methods. |
| 4. | To be able to explain terminologies of sets, relations and functions, and to explain them in daily life. |
| 5. | To be able to determine the required goal about problems. |
| 6. | To be able to examplify problems and theorems. |
| 1. | Soyut Matematik (Abstract Mathematics), Akkaş S., Hacısalihoğlu H.H., Özel Z., Sabuncuoğlu A., Gazi Üniversitesi Yayınları, 1998. |
| 2. | Soyut Matematik I (Abstract Mathematics I), Kandamar H., ADÜ Yayınları, 2004. |
| 3. | Soyut Matematik(Abstract Mathematics), Çallıalp F., Birsen Yayınevi, 2009. |
| 4. | Basic abstract Algebra, Bhattacharya P. B., Jain S. K., Nagpaul S.R., Cambridge University Pres, 1986. |
| 5. | An Introduction to Number System and Algebraic Structures, Alpay Ş., H. İ., Matematik Vakfı Yayınları, 1996. |
| 6. | Algebra Through Practice, Blyth, T. S. and Robertson, E. F., Cambridge Univ. Pres, Cambridge, London, 1984,1985. |
| 7. | Çözümlü Soyut Cebir Problemleri (Abstract Algebra Problems with Solutions), Çallıalp, F., 2. Baskı İstanbul, 1995. |
| 8. | Soyut Matematiğe Giriş (Introduction to Abstract Mathematics), Karaçay T., Kuban Matbaacılık Yayıncılık, 2009. |
| Type of Assessment | Count | Percent |
|---|---|---|
| Midterm Examination | 1 | %40 |
| Final Examination | 1 | %60 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 0 | 2 | 28 |
| Lecture - Practice | 14 | 0 | 2 | 28 |
| Individual Work | 14 | 0 | 2 | 28 |
| Midterm Examination | 1 | 28 | 2 | 30 |
| Final Examination | 1 | 34 | 2 | 36 |
| TOTAL WORKLOAD (hours) | 150 | |||
PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | PÇ-11 | PÇ-12 | PÇ-13 | PÇ-14 | PÇ-15 | PÇ-16 | PÇ-17 | PÇ-18 | |
OÇ-1 | 2 | 3 | 3 | 2 | 2 | |||||||||||||
OÇ-2 | 2 | 2 | 3 | 4 | 2 | 2 | 4 | |||||||||||
OÇ-3 | 3 | 3 | 3 | 3 | 4 | 5 | 1 | 3 | 3 | |||||||||
OÇ-4 | 2 | 3 | 4 | 3 | 4 | 4 | 2 | 4 | ||||||||||
OÇ-5 | 5 | 4 | 3 | 4 | 4 | 2 | 2 | 4 | ||||||||||
OÇ-6 | 4 | 4 | 3 | 4 | 2 | 4 | ||||||||||||