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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS LME 5003 GENERAL TOPOLOGY ELECTIVE 2 0 0 4

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

DOCTOR HANDAN BOYACIOĞLU EMIROĞLU

Offered to

Mathematics Teacher Education

Course Objective

Learning the basic concepts of General Topology, setting up relations with other school subjects, making generalizations, problem solving and the ability to make comments.

Learning Outcomes of the Course Unit

1   May have knowledge about topology and topological space, 2   Can learn and apply basic concepts, 3   Will be able to analyze, make generalization and apply the relations between the concepts within other similar courses 4   Gain the ability of abstract thinking, reach new syntheses 5   Can explain the knowledge acquired and conclusions by correct use of language in a discipline.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Topology concept 2 Topological spaces 3 Properties of topological spaces 4 The usual topology of real numbers 5 The usual topology of the plane 6 Comparison of topologies 7 Subspace of a topological space 8 Course Overview, Evaluation, Midterm Exam 9 Neighbourhood 10 Interior, limit points of a set in a topological space and applications 11 Exterior, condensation points of a set in a topological space and applications 12 Closure, boundary points of a set in a topological space and applications 13 Functions between topological sapces 14 Effect of topological properties of functions beyween topological spaces 15 Final Exam

Recomended or Required Reading

Ercan, Z. (2020) Topoloji. Ankara: Odtü Eğitim Yüksel, Ş. (2008) Genel Topoloji. Konya: Eğitim Akademi Yayınları Karaçay, T. (2009) Genel Topoloji. Ankara: Kuban Matbaacılık Yayıncılık Kılıç, S.A. (2002) Genel Topoloji. Bursa: Vipaş A.Ş.

Planned Learning Activities and Teaching Methods

Lecture, Question-Answer, Discussion, Problem Solving, Group Study, Brain Storming

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 *** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

Discussions, student reflections

Assessment Criteria

To be announced.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

handan.boyaci@deu.edu.tr Cahit Arf Building-Room Number 225 Tel: 0 232 301 23 97

Office Hours

Friday 13.55-14.20

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 2 26 Preparations before/after weekly lectures 13 2 26 Preparation for midterm exam 1 15 15 Preparation for final exam 1 20 20 Final 1 2 2 Midterm 1 2 2 TOTAL WORKLOAD (hours) 91

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