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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS IMÖ 1003 ABSTRACT MATHEMATICS I COMPULSORY 3 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

Internalizing the concepts of proposition, set and relation, which form the basis of many fields of mathematics, and ensuring the use of mathematical language.

Learning Outcomes of the Course Unit

1   The student will explain the basics of symbolic logic; will be able to connect propositions with symbols and calculate the truth values of propositions 2   Explain the relationship between logic and mathematics, to be able to use mathematical definition and proof methods. 3   Create sets and perform operations on sets. 4   Define the concept of relation and to give examples. 5   Explain the relation types and related concepts such as ratio set, maximum, minimum, supremum, infimum.

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 Propositional Connectives and Their Properties 3 Application of Logic to Electrical Circuits 4 Propositional functions and Quantifiers 5 Proof Methods 6 Concept of Sets 7 Universal Set, Empty Set, Russell Paradox 8 Midterm 9 Set Operations 10 Familiy of sets 11 Cartesian Product and Relation 12 Equivalence Relation, Equivalence Classes and Ratio Set 13 Order Relations and their types (chain, well ordered., lattice) 14 Maximum, minimum, maximal, minimal, supremum, infimum 15 Final Exam

Recomended or Required Reading

Zekeriya Güney, Murat Özkoç (2015). Soyut Matematik, Dinazor Kitabevi Fethi Çallıalp, (1995) Örneklerle Soyut Matematik, Istanbul Teknik Üniversitesi Yayınları

Planned Learning Activities and Teaching Methods

Lecture, discussion, question-answer, problem solving, active learning techniques, group work.

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

None

Assessment Criteria

Assessment of students is measured by midterm exams, assignments and final exams in line with the learning outcomes.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

serkan.narli@deu.edu.tr

Office Hours

Will be announced at the beginning of the semester.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 3 39 Preparations before/after weekly lectures 13 3 39 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) 120

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 5 3 5 4 4 5 4 4 LO.2 1 3 5 5 5 5 4 5 4 5 LO.3 3 4 5 3 4 5 4 3 LO.4 3 4 5 3 4 5 4 4 LO.5 5 4 5 3 4 5 4 4