COURSE UNIT TITLE

: TOPOLOGY

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
OMT 3012 TOPOLOGY COMPULSORY 4 0 0 5

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

INSTRUCTOR 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   Knowledge of Topology and Topologic Space
2   Knowledge of basic concepts and applications
3   Ability to analyze, make generalization and apply the relations between the concepts like continuity, homeomorphism and metric spaces within other similar courses
4   Gain the ability of abstract thinking, reach new syntheses
5   Ability to 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, Topologic Space and Basic Concepts
2 Usual Topology of Real Numbers
3 Interior, Exterior and Limit Point of a Set in a Topological Space and Applications
4 Closure and Boundary Point of a Set and Applications
5 Comparison of Topologies
6 Subspace of a Topological Space
7 Base and Sub-base
8 Midterm Exam
9 Neighbourhood
10 Continuous Maps
11 Open and Closed Maps
12 Homeomorphism
13 Inıtıal and Final Topology
14 Product and Quotient Topologies, Metric Spaces
15 Final Exam

Recomended or Required Reading

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 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)

handan.boyaci@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 4 52
Preparations before/after weekly lectures 13 3 39
Preparation for midterm exam 1 8 8
Preparation for final exam 1 10 10
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 113

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15PO.16PO.17PO.18
LO.142
LO.2533
LO.35543
LO.4543443
LO.554443

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

Copyright 2012 DEÜ. BİD

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