| Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
|---|---|---|---|---|---|
| Abstract Mathematıcs | IME 102 | 2 | 3 + 1 | 4 | 5 |
| Ön Koşul Dersleri | |
| Önerilen Seçmeli Dersler | |
| Dersin Dili | Türkçe |
| Dersin Seviyesi | Lisans |
| Dersin Türü | Zorunlu |
| Dersin Koordinatörü | Doç.Dr. ERCAN MASAL |
| Dersi Verenler | |
| Dersin Yardımcıları | Res.Assist.Mithat TAKUNYACI |
| Dersin Kategorisi | Alanına Uygun Temel Öğretim |
| Dersin Amacı | To improve structure of mathematical thinking by teaching basic concepts of mathematics and mathematical proof. |
| Dersin İçeriği | Explanation of axiom and theorem concepts, explanation methods of direct and indirect mathematical proof. Axiom and theorems about symbolic logic, applications on symbolic logic. Universal and existence quantitatives, explanation of set concept, operations on set concepts. Cartesian product of sets and drawing graph, Relation concept and properties, varieties of relation, ordered and equivalence relations and their properties. Construction of numbers assisted equivalence relation. Function concept, inverse function, kinds of function, composite function, operations with functions. Power concept in mathematics, finite and infinite sets. |
| # | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
|---|---|---|---|
| 1 | Explain axiom, theorem, proposition, lemma and concepts of conclusion. | Lecture, Drilland Practice, | Testing, Homework, |
| 2 | Explain the methods of direct and indirect and question which one use. | Drilland Practice, Lecture, | Homework, Testing, |
| 3 | Explain the symbolic logic and applications on symbolic logic. | Lecture, Drilland Practice, | Testing, Homework, |
| 4 | Explain the relation, varieties of relation and properties of relation. | Lecture, Drilland Practice, | Testing, Homework, |
| 5 | Explain the concept of power on sets and concepts of finite and infinite sets. | Lecture, Drilland Practice, | Testing, Homework, |
| 6 | Explain Peano Axioms and construction of natural numbers. | Drilland Practice, Lecture, | Homework, Testing, |
| Hafta | Ders Konuları | Ön Hazırlık |
|---|---|---|
| 1 | Proposition, conjunctions and accuracy tables | |
| 2 | Quantifiers, proof methods and their applications | |
| 3 | Axiom, theorem, proposition, lemma, concepts of conclusion and introduction to Set Theory | |
| 4 | Set operations, indexed sets, multiplication sets, | |
| 5 | Relations and properties of relation | |
| 6 | Equivalence relation and equivalence classes | |
| 7 | Equivalence relation and equivalence classes | |
| 8 | Functions, varieties of functions and operations on functions | |
| 9 | Mid – Term Exam | |
| 10 | Functions, varieties of functions and operations on functions | |
| 11 | Peano axioms and construction of natural numbers | |
| 12 | Addition on natural numbers and their properties | |
| 13 | Multiplication on natural numbers and their properties | |
| 14 | Countableness |
| Kaynaklar | |
|---|---|
| Ders Notu | |
| Ders Kaynakları | |
| Sıra | Program Çıktıları | Katkı Düzeyi | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Have general information about basic concept, theory and applicaitons on mathematics | X | |||||
| 2 | Have ability of mathematical thinking and apply to real life | X | |||||
| 3 | Classify a problem systematically also create comprehensible, understandable and objective solutions | X | |||||
| 4 | Establish relationship among events looked different | X | |||||
| 5 | Get clear and exact ideas about relationships among time, place and numbers | X | |||||
| 6 | Use principles of scientific method on problem solving | X | |||||
| 7 | Have character on explorer, impartial, disinterested, give sound decisions, open mind and believe that spreading information is needed | X | |||||
| 8 | Think creative and critical | X | |||||
| 9 | Improve methods as fast, understandable and practical to faced problems | X | |||||
| 10 | Have information about national and international modern problems | ||||||
| 11 | Get life long learning behaviour | X | |||||
| 12 | Know and apply approach, aim, goal, principle and techniques of teaching program on special field with basic value and principles of Turkish National Education System | ||||||
| 13 | Evaluate development and learning of students, provide to evaluate self-assessment and other students. Use the assessment results to better instruction; share the results with student, parent, administrators and teachers. | ||||||
| 14 | Endeavor for constant development by making self-evaluation. Open the new knowledge and ideas, have a role to develop himself/herself and his/her institution. Have enough knowledge and conscious to protection subjects on society values and environment. | ||||||
| 15 | Interrogator ( get habit to find source of knowledge by asking “Why?” question instead of direct acceptance to given knowledges ) | X | |||||
| Değerlendirme Sistemi | |
|---|---|
| Yarıyıl Çalışmaları | Katkı Oranı |
| 1. Ödev | 10 |
| 1. Ara Sınav | 50 |
| 1. Kısa Sınav | 20 |
| 2. Kısa Sınav | 20 |
| Toplam | 100 |
| 1. Yıl İçinin Başarıya | 40 |
| 1. Final | 60 |
| Toplam | 100 |
| AKTS - İş Yükü Etkinlik | Sayı | Süre (Saat) | Toplam İş Yükü (Saat) |
|---|---|---|---|
| Course Duration (Including the exam week: 16x Total course hours) | 16 | 3 | 48 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 3 | 48 |
| Mid-terms | 1 | 10 | 10 |
| Quiz | 2 | 2 | 4 |
| Assignment | 1 | 10 | 10 |
| Final examination | 1 | 15 | 15 |
| Toplam İş Yükü | 135 | ||
| Toplam İş Yükü / 25 (Saat) | 5,4 | ||
| Dersin AKTS Kredisi | 5 | ||