Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | MAT568 | DALGACIK TEORİSİ | Elective | 1 | 2 | 6 |
|
Level of Course Unit |
Second Cycle |
Objectives of the Course |
To inform to student the definition and basic properties of elliptic functions |
Name of Lecturer(s) |
Doç. Dr. Abdullah Sönmezoğlu |
Learning Outcomes |
1 | To define the concepts of the Period, topological group, elliptic function and infinite multiplication | 2 | Learn and apply basic properties of elliptic functions |
|
Mode of Delivery |
Formal Education |
Prerequisites and co-requisities |
None |
Recommended Optional Programme Components |
None |
Course Contents |
A brief outline of Hilbert and Banach spaces, Direct sums, Schauder, orthonormal, biortogonal (Riesz) bases, Introduction to frame theory, Analysis, synthesis and frame operators, Wavelet series, Multi-resolution analysis, Adjoint mirror filters, Ortonormal and biortogonal wavelet bases, Wavelet frame, Discrete wavelet transform algorithm, Daubechies wavelet bases, Band bounded wavelets, Littlewood-Paley theory |
Weekly Detailed Course Contents |
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1 | periods | | | 2 | Topological groups | | | 3 | A simple periodic function | | | 4 | Cages and fundemental regions | | | 5 | Tor | | | 6 | General properties of elliptic functions | | | 7 | infinite products | | | 8 | Mid-Term Exam | | | 9 | Uniform and normal convergence | | | 10 | Weierstrass functions | | | 11 | Body of elliptic functions | | | 12 | Zero the polar areas and the creation of elliptic functions | | | 13 | The main part of the creation of the elliptic functions | | | 14 | Topological properties of elliptic functions | | | 15 | Real elliptic curves | | | 16 | Final Exam | | |
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Recommended or Required Reading |
G. A. Jones and D. Singerman, Complex Functions, Cambridge University Press, 1987. |
Planned Learning Activities and Teaching Methods |
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Assessment Methods and Criteria | |
Midterm Examination | 1 | 100 | SUM | 100 | |
Final Examination | 1 | 100 | SUM | 100 | Term (or Year) Learning Activities | 40 | End Of Term (or Year) Learning Activities | 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 |
Individual Study for Mid term Examination | 14 | 6 | 84 |
Individual Study for Final Examination | 14 | 6 | 84 |
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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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Yozgat Bozok University, Yozgat / TURKEY • Tel (pbx): +90 354 217 86 01 • e-mail: uo@bozok.edu.tr |