COURSE UNIT TITLE

: ELECTIVE I(LOGIC)

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MTÖ 2009 ELECTIVE I(LOGIC) ELECTIVE 2 0 0 2

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR SERKAN NARLI

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION
ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

Analyzing the basic concepts which are afterwards the course of abstract mathematics

Learning Outcomes of the Course Unit

1   Students will have the abilities of determining the function varieties
2   Students will comprehend the sequence defensor transformation and equal construct transformation, and generalize the increasing and the decreasing function to the sets outside of IR
3   Students will comprehend the core of the equivalence and use the idea of one by one matching in the equivalence of sets
4   Students will prove the special proves in the way that the natural numbers would not be equivalent to the real numbers
5   Students will show that there will be a larger infinite set than every infinite sets in terms of equivalence using its proves
6   Students will know the cardinal number sets and make calculations on these sets

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Sequence defensor functions
2 Equal construct transformations
3 The general definition of the operation concept
4 The basic philosphy of the equivalance in sets
5 Discussion of the infinite sets in terms of equivalance
6 Identification of the infinite sets which can be equivalant to the natural numbers
7 The equivalance of the IN2 set to the IN set and generalization of this equivalance
8 Midterm Exam
9 Discussion of the infinite sets which cannot be equivalant to the natural numbers and the proving that the IR set cannot be equivalant to the natural number set
10 Discussion of the equivalant of the open spaces to the real number set
11 The proof of the fact that the function set are larger than the real numbers set in terms of equivalancy
12 The logical definition that a set cannot be equivalant to its power set
13 The cardinal numbers
14 The operations on the cardinal numbers
15 Final exam

Recomended or Required Reading

Güney, Z. (1993). Soyut Matematiğe Giriş, DEÜ Yayınları No:0.36. DK.93.009.111 IZMIR
Fethi Çallıalp, (1995) Örneklerle Soyut Matematik, Istanbul Teknik Üniversitesi Yayınları
Akkaş, H.-Hacısalihoğlu, H.-Özel, Z.-Sabuncuoğlu (2000)Soyut Matematik. A. Gazi Üniversitesi Yayınları

Planned Learning Activities and Teaching Methods

Computer Supported Instruction, Cooperative Learning

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FINS FINAL EXAM
3 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 +FINS * 0.60
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + RST* 0.60

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

To be announced.

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Application 0
Theoretical 13 2 26
Paper Preparation 0
Research Presentation 0
Others (Please indicate) 0
Pre Class Self Study 12 1 12
Midterm Preparation 1 5 5
Quiz Preparation 0
Final Preparation 1 10 10
Homework preparation 1 5 5
Quizzes 0
Final Exam 1 1 1
Midterm Exam 1 1 1
TOTAL WORKLOAD (hours) 60

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15
LO.132
LO.2
LO.35
LO.4452
LO.542
LO.642

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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