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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS OMT 1008 ABSTRACT MATHEMATICS II COMPULSORY 3 0 0 4

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASISTANT PROFESSOR HASIBE SEVGI MORALI

Offered to

Mathematics Teacher Education

Course Objective

Learning mathematical language and fundamental concepts of abstract mathematics.

Learning Outcomes of the Course Unit

1   Understanding basic concepts and properties of functions 2   Understanding definition and properties of operations 3   Understanding the concepts of finality and being able to apply them to sets other mathematical concepts 4   Understanding the concepts of infinity and being able to apply them to sets other mathematical concepts 5   Being able to read and understand mathematical statement, create arguments and solutions

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Properties of functions 2 Properties of functions and exercises 3 Injective, onto, inverse, identity functions 4 Definition of relations 5 Properties of relations 6 General exercises 7 Midterm 8 Peano axions and forming the set of Natural numbers 9 Homomorphism theorems 10 Induction principle 11 Finite and infinite sets 12 Finite and infinite sets 13 Properties of finite and infinite sets 14 Cardinal numbers 15 Final exam

Recomended or Required Reading

1) Özer O. , Çoker D. , Taş K. , 1996, Soyut Matematik, 3. baskı, Izgi Yayınevi, Ank 2)Çallıalp F, 2009, Soyut Matematik, Birsen Yayınevi, Ist.

Planned Learning Activities and Teaching Methods

Lecture, discussion, question-answer, problem solving

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)

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 15 15 Preparation for final exam 1 20 20 Final 1 1 1 Midterm 1 1 1 TOTAL WORKLOAD (hours) 102

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