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

; ;
The text passage provides a detailed course description for an Abstract Mathematics course, including the course code, credit information, language, level, and a syllabus outline. It does not contain any mathematical questions or answers.
no_question
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
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

; ;
user
The text passage provides a detailed course description for an Abstract Mathematics course, including the course code, credit information, language, level, and a syllabus outline. It does not contain any mathematical questions or answers.

TYPE: NO_QUESTION