Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | FMA637 | THEORY OF FUNCTIONS I | Compulsory | 1 | 1 | 6 |
|
Level of Course Unit |
Second Cycle |
Objectives of the Course |
The aim of the course is
• to learn the basic concepts of the theory of functions is to be ready to Scientific studies.Complex numbers
• Power series
• Analytic functions
• Harmonic functions
• Cauchy's theorem and the results
• Singularities and residues
• Argument principle
• Maximum modulus principle
• Schwarz's lemma
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Name of Lecturer(s) |
Doç. Dr. Erhan SET |
Learning Outcomes |
1 | To have the ability and knowledge of the advanced level of related to the field and use it in real learning environments |
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Mode of Delivery |
Formal Education |
Prerequisites and co-requisities |
None |
Recommended Optional Programme Components |
None |
Course Contents |
Complex numbers
Power series
Analytic functions
Harmonic functions
Cauchy's theorem and the results
Singularities and residues
Argument principle
Maximum modulus principle
Schwarz's lemma
|
Weekly Detailed Course Contents |
|
1 | Complex numbers
| | | 2 |
Complex numbers | | | 3 |
Power series | | | 4 |
Power series | | | 5 |
Analytic functions | | | 6 |
Analytic functions | | | 7 |
Harmonic functions | | | 8 |
Midterm exam | | | 9 |
Cauchy's theorem and the results | | | 10 |
Cauchy's theorem and the results | | | 11 |
Singularities and residues
| | | 12 | Singularities and residues | | | 13 | Projective and injective models | | | 14 | Argument principle | | | 15 | Maximum modus prenciple, Schwarz's lemma | | | 16 | Final exam | | |
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Recommended or Required Reading |
Kondrad Knopp, Theory of Function, Part I and II
Kondrad Knopp, Problem book in Theory of Functions
EdwardCharles Titchmarsh, The Theory of Functions, Oxford University Press,1952.
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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 | | Work Placement(s) | None |
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Workload Calculation |
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Midterm Examination | 1 | 2 | 2 |
Final Examination | 1 | 2 | 2 |
Attending Lectures | 14 | 4 | 56 |
Self Study | 14 | 10 | 140 |
Individual Study for Mid term Examination | 1 | 20 | 20 |
Individual Study for Final Examination | 1 | 20 | 20 |
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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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