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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS MTÖ 1002 ABSTRACT MATHEMATICS COMPULSORY 3 0 0 8

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

Informing basic concepts in abstract mathematics and using these concepts in applications

Learning Outcomes of the Course Unit

1   Be able to explain the basics of logic; use the propositional logic and calculate truth value of propositions 2   Be able to explain the relation between logic and mathematics and be able to use mathematical descriptions and the proof methods 3   Be able to create sets and be able to use the procedures on sets 4   Be able to identify the concepts of relation and function by giving examples and use the procedures on functions 5   Be able to examine the functions under the perspective on sets and use in applications 6   Be able to make comments about the features of natural numbers 7   Be able to use prepositional logic in the daily situations

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Introduction to Symbolic Logic 2 Applications of Symbolic Logic 3 Mathematical Proof 4 Exercises 5 Set Theory 6 Applications of Set Theory 7 Family of Sets 8 Midterm exam 9 Relations-1 10 Functions-1 11 Functions-2 12 Exercises 13 Natural Numbers, Finite and Infinite Sets 14 Constructions of the Set of Integers 15 Final exam

Recomended or Required Reading

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

question-answer method

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 3 39 Quiz Preparation 0 Homework preparation 0 Paper Preparation 0 Research Presentation 0 Others (Please indicate) 0 Pre Class Self Study 12 8 96 Midterm Preparation 1 25 25 Final Preparation 1 35 35 Quizzes 0 Final Exam 1 1 1 Midterm Exam 1 1 1 TOTAL WORKLOAD (hours) 197

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 PO.11 PO.12 PO.13 PO.14 PO.15 LO.1 2 3 LO.2 5 3 LO.3 5 LO.4 LO.5 LO.6 LO.7 3 3