Information Package / Course Catalogue
| Course Code | : MAT104 |
| 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 comprehend algebraic structures based on the foundation in Abstract Mathematics I course. 2. To teach the construction of well-known number sets and their basic properties. 3. To comprehend algebraic structure transitions between number sets. 4. To help students develop their ability to solve problems and interpret the solutions obtained. 5. To enable students to perceive abstract and difficult to understand concepts.
Construction of the set of natural numbers, Principle of induction, Construction of integers and binary operations in the set of integers, Construction of rational numbers and properties of binary operations, Introduction to real numbers, Addition and multiplication in Cauchy sequences, Algebraic properties of real numbers, Complex numbers.
| Prof. Semra DOĞRUÖZ |
| 1. | To comprehend what mathematical structures mean and their natural relationship with nature. |
| 2. | To be able to explain the necessity of the construction of number sets. |
| 3. | To be able to use relations in the construction of number sets. |
| 4. | To be able to compare number sets due to algebraic structures on number sets. |
| 5. | To be able to comprehend abstract concepts and introduce them in a right way. |
| 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 Press, 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 | 5 | 5 | 5 | 4 | 5 | 5 | 5 | 5 | 5 | 5 | 4 | |||||||
OÇ-2 | 5 | 5 | 5 | 4 | 5 | 4 | 5 | 4 | 5 | 5 | 4 | |||||||
OÇ-3 | 5 | 4 | 4 | 5 | 5 | 5 | 5 | 5 | 4 | 5 | 4 | 5 | ||||||
OÇ-4 | 5 | 4 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 4 | ||||||
OÇ-5 | 5 | 4 | 5 | 5 | 4 | 5 | 5 | 5 | 4 | 4 | 4 | 4 | ||||||