text: Ders Bilgileri
  
  Ders Tanımı
  
  Ders Kodu Yarıyıl T+U Saat Kredi AKTS
  ABSTRACT MATHEMATICS IME 102 2 3 + 1 4 5
   Dersin Dili Türkçe Dersin Seviyesi Lisans Dersin Türü ZORUNLU Dersin Koordinatörü Dr.Öğr.Üyesi 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.
   Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - Explain axiom, theorem, proposition, lemma and concepts of conclusion. 1 - 4 - A - C - 2 - Explain the methods of direct and indirect and question which one use. 4 - 1 - C - A - 3 - Explain the symbolic logic and applications on symbolic logic. 1 - 4 - A - C - 4 - Explain the relation, varieties of relation and properties of relation. 1 - 4 - A - C - 5 - Explain the concept of power on sets and concepts of finite and infinite sets. 1 - 4 - A - C - 6 - Explain Peano Axioms and construction of natural numbers. 4 - 1 - C - A -
   Öğretim Yöntemleri: 1:Lecture 4:Drilland Practice Ölçme Yöntemleri: A:Testing C:Homework
  
  Ders Akışı
  
  Hafta Konular ÖnHazırlık
  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
  
  Ders Notu
  Ders Kaynakları
  
  Dersin Program Çıktılarına Katkısı
  
  No Program Öğrenme Çıktıları KatkıDüzeyi
  1 2 3 4 5
  
  Değerlendirme Sistemi
  
  YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
  AraSinav 1 60
  KisaSinav 1 15
  Odev 1 10
  KisaSinav 2 15
  Toplam 100
  Yıliçinin Başarıya Oranı 50
  Finalin Başarıya Oranı 50
  Toplam 100
  
  ; ;
explanation: The provided text is a course syllabus for a class titled "Abstract Mathematics I" (IME 102). It includes details such as the course code, credit hours, language of instruction, course level, and a detailed breakdown of the course content, learning outcomes, teaching methods, and evaluation criteria. The document does not contain any specific math questions or answers.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: Ders Bilgileri
  
  Ders Tanımı
  
  Ders Kodu Yarıyıl T+U Saat Kredi AKTS
  ABSTRACT MATHEMATICS IME 102 2 3 + 1 4 5
   Dersin Dili Türkçe Dersin Seviyesi Lisans Dersin Türü ZORUNLU Dersin Koordinatörü Dr.Öğr.Üyesi 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.
   Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - Explain axiom, theorem, proposition, lemma and concepts of conclusion. 1 - 4 - A - C - 2 - Explain the methods of direct and indirect and question which one use. 4 - 1 - C - A - 3 - Explain the symbolic logic and applications on symbolic logic. 1 - 4 - A - C - 4 - Explain the relation, varieties of relation and properties of relation. 1 - 4 - A - C - 5 - Explain the concept of power on sets and concepts of finite and infinite sets. 1 - 4 - A - C - 6 - Explain Peano Axioms and construction of natural numbers. 4 - 1 - C - A -
   Öğretim Yöntemleri: 1:Lecture 4:Drilland Practice Ölçme Yöntemleri: A:Testing C:Homework
  
  Ders Akışı
  
  Hafta Konular ÖnHazırlık
  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
  
  Ders Notu
  Ders Kaynakları
  
  Dersin Program Çıktılarına Katkısı
  
  No Program Öğrenme Çıktıları KatkıDüzeyi
  1 2 3 4 5
  
  Değerlendirme Sistemi
  
  YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
  AraSinav 1 60
  KisaSinav 1 15
  Odev 1 10
  KisaSinav 2 15
  Toplam 100
  Yıliçinin Başarıya Oranı 50
  Finalin Başarıya Oranı 50
  Toplam 100
  
  ; ;
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The provided text is a course syllabus for a class titled "Abstract Mathematics I" (IME 102). It includes details such as the course code, credit hours, language of instruction, course level, and a detailed breakdown of the course content, learning outcomes, teaching methods, and evaluation criteria. The document does not contain any specific math questions or answers.
  
  Label: no-question