Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | FMA603 | TOPOLOGY I | Compulsory | 1 | 1 | 6 |
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Level of Course Unit |
Second Cycle |
Objectives of the Course |
The aim of the course is to gain the basic information necessary in the field of topology
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Name of Lecturer(s) |
Yrd. Doç. Dr. Serkan Karataş |
Learning Outcomes |
1 | Alanı ile ilgili ileri düzeyde alan bilgisine, becerisine sahip olmak ve bunu gerçek öğretim ortamlarında kullanmak | 2 | To have the ability and knowledge of the advanced level of related to the field and use it in a real learning environment. |
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Mode of Delivery |
Formal Education |
Prerequisites and co-requisities |
None |
Recommended Optional Programme Components |
None |
Course Contents |
• Regular Spaces: Characteristics features of Regular Spaces
• Regularity of Metric Spaces
• Cartesian Product of Regular Spaces
• Regularity of Compact and Local Spaces
• Normal Spaces: Characteristics features of Normal Spaces
• Normalcy of Metric Spaces
• Compact spaces which are being Normal space
• Complete Regular Spaces and Tikonov Theorem
• Local compact s-compact spaces
• A Lindelof locally compact space which is being s-compact
• Countable Compact Spaces
• Baire spaces: Non-Intensive Sentences
• The first and second category sentences
• Characteristics features of Baire Spaces a Baire Space which is being Baire function of the image under a continuous open onto function
• Baire's theorem: Locally Compact (complete metric) space is a Baire space
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Weekly Detailed Course Contents |
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1 | Regular Spaces: Characteristics features of Regular Spaces
| | | 2 | Regularity of Metric Spaces
| | | 3 | Cartesian Product of Regular Spaces
| | | 4 | Regularity of Compact and Local Spaces
| | | 5 | Characteristics features of Normal Spaces
| | | 6 | Normalcy of Metric Spaces
| | | 7 | Compact spaces which are being Normal space
| | | 8 | Midterm exam
| | | 9 | Complete Regular Spaces and Tikonov Theorem
| | | 10 | Local compact s-compact spaces
| | | 11 | A Lindelof locally compact space which is being s-compact
| | | 12 | Countable Compact Spaces, Baire spaces: Non-Intensive Sentences
| | | 13 | The first and second category sentences. Characteristics features of Baire Spaces
| | | 14 | A Baire Space which is being Baire function of the image under a continuous open onto function
| | | 15 | Baire's theorem: Locally Compact (complete metric) space is a Baire space
| | | 16 | Final exam | | |
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Recommended or Required Reading |
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Planned Learning Activities and Teaching Methods |
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Assessment Methods and Criteria | |
SUM | 0 | |
SUM | 0 | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | None |
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Workload Calculation |
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Midterm Examination | 1 | 2 | 2 |
Final Examination | 1 | 2 | 2 |
Makeup Examination | 1 | 2 | 2 |
Attending Lectures | 10 | 4 | 40 |
Problem Solving | 10 | 4 | 40 |
Self Study | 10 | 5 | 50 |
Individual Study for Mid term Examination | 10 | 4 | 40 |
Individual Study for Final Examination | 10 | 4 | 40 |
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Contribution of Learning Outcomes to Programme Outcomes |
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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Ordu University Rectorate Building ,Cumhuriyet Campus , Center / ORDU / TURKEY • Tel: +90 452 226 52 00
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