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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS LME 1003 ABSTRACT MATHEMATICS 1 COMPULSORY 3 0 0 4

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSISTANT PROFESSOR HASIBE SEVGI MORALI

Offered to

Mathematics Teacher Education

Course Objective

This course is an introduction to mathematical reasoning. Students are introduced to the fundamental concepts and constructions of mathematics. They are taught how to formulate mathematical statements in precise terms, and how such statements can be proved or disproved.

Learning Outcomes of the Course Unit

1   To be able to understand and use logic and mathematics language. To know and apply proof methods. 2   To know sets and properties of sets, to prove related theorems, to be able to apply them. 3   To know the concept of relations and properties, to prove related theorems, to be able to apply them. 4   To be able to know the concept of functions and properties, to be able to make applications about these concepts, to prove the theorems about basic features of said concepts. 5   To learn the concept of operations, their properties, applications and solve problems.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Symbolic logic, properties, examples and exercises 2 Proof methods, properties, examples and exercises 3 Sets, set operations properties and proofs 4 Family of sets, partition of sets, product sets 5 Relations, properties and examples. 6 Equivalence relation, equivalence classes 7 Ordered relations, graphics, ordered sets 8 Midterm 9 Functions, examples and exercises 10 One to one, onto functions, composition and inverse of functions, properties and proofs. 11 Permutations, properties, proofs. 12 Definition of operation, examples, exercises. 13 Properties of operations, exercises, proofs 14 General exercises, applications of proof techniques. 15 Final exam

Recomended or Required Reading

Çallıalp, F. , Örneklerle Soyut Matematik (3.Baskı), Istanbul, 1999.

Planned Learning Activities and Teaching Methods

Lecture, discussion, question-answer

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 VZ Ara Sınav 2 FN Yarıyılsonu Sınavı 3 BNS BNS VZ * 0.40 + FN * 0.60 4 BUT Bütünleme Notu 5 BBN Bütünleme Sonu Başarı Notu VZ * 0.40 + BUT * 0.60 *** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

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)

sevgi.morali@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 3 39 Preparations before/after weekly lectures 13 2 26 Preparation for midterm exam 1 10 10 Preparation for final exam 1 10 10 Preparing assignments 1 11 11 Midterm 1 2 2 Final 1 2 2 TOTAL WORKLOAD (hours) 100

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 PO.16 PO.17 PO.18 LO.1 5 4 3 3 2 3 LO.2 5 4 3 3 2 3 LO.3 5 4 3 3 2 3 LO.4 5 4 3 3 2 3 LO.5 5 4 3 3 2 3