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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS OME 1006 ABSTRACT MATHEMATICS COMPULSORY 2 0 0 5

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR SERKAN NARLI

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

The aim of this course is to teach symbolic logic and evidence techniques, sets, collection of sets, relations, functions and varieties, permutations and operations.

Learning Outcomes of the Course Unit

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

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 Family of Sets and Partitions of Family of Sets 7 Applications of set theory 8 Course Overview, Evaluation and Midterm Examination 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

Lecture, Discussion, Question-Answer.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 VZ Midterm 2 FN Semester final exam 3 BNS BNS Student examVZ * 0.40 + Student examFN * 0.60 4 BUT Make-up note 5 BBN End of make-up grade Student examVZ * 0.40 + Student examBUT * 0.60

Further Notes About Assessment Methods

Midterm and final exams are determined according to the weekly course content within the scope of the learning outcomes of the course.

Assessment Criteria

Midterm and final exam

Language of Instruction

Turkish

Course Policies and Rules

Seventy percent of the course is obligatory to attend

Contact Details for the Lecturer(s)

serkan.narli@deu.edu.tr Cahit Arf Building 12442

Office Hours

Tuesday 13:00-14:00

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 2 26 Preparations before/after weekly lectures 13 5 65 Preparation for midterm exam 1 20 20 Preparation for final exam 1 20 20 Final 1 1 1 Midterm 1 1 1 TOTAL WORKLOAD (hours) 133

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 4 3 4 3 LO.2 5 3 5 5 3 4 5 LO.3 5 3 4 3 4 3 LO.4 3 4 3 4 4 LO.5 3 4 3 4 4 LO.6 3 4 3 4 4 LO.7 3 3 4 3 4 4