| Dersin Kodu | Dersin Adı | Dersin Türü | Yıl | Yarıyıl | AKTS | | MAT522 | THE PREFACE TO CONTROL OF FINITE DIMENSIONAL LINEAR OBJECTS II | Seçmeli | 1 | 1 | 6 |
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| Dersin Seviyesi |
| Yüksek Lisans |
| Dersin Amacı |
| With the help of inner product spaces and Hilbert spaces discrete approach to student |
| Dersi Veren Öğretim Görevlisi/Görevlileri |
| Prof. Dr. Mammad Mustafayev |
| Öğrenme Çıktıları |
| 1 | Defining Dual spaces and the Adjoint operators. | | 2 | Learning compactness in normed spaces and compact operators | | 3 | Learning inner product space rigidity and vertical projection operator | | 4 | Explaining method of sequential approaches | | 5 | Defining the conversion principle of shrinking | | 6 | The ability to prove being and uniqueness theorem to integral equations | | 7 | To ability Fredholm and Volterra integral equations expression |
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| Öğrenim Türü |
| Formal Education |
| Dersin Ön Koşulu Olan Dersler |
| None |
| Ders İçin Önerilen Diğer Hususlar |
| None |
| Dersin İçeriği |
| Inverse linearity control, Modal control, Optimal control problem, Optimal control with square function, Terminal control, Ricatti equation and solution methods |
| Haftalık Ayrıntılı Ders İçeriği |
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| 1 | Dual spaces and Adjoint operators | | | | 2 | Theorem of Hanh-Banach | | | | 3 | Compactness in Normed spaces and the compact operators | | | | 4 | Compactness in Normed spaces and the compact operators | | | | 5 | Inner product space rigidity and vertical projection operator | | | | 6 | Inner product space rigidity and vertical projection operator | | | | 7 | The method of sequential approaches | | | | 8 | The method of sequential approaches | | | | 9 | Midterm exam | | | | 10 | Narrowing conversion principle | | | | 11 | Narrowing conversion principle | | | | 12 | Being and uniqueness theorem for ıntegral equations | | | | 13 | Being and uniqueness theorem for ıntegral equations | | | | 14 | Fredholm and Volterra integral equations | | | | 15 | Fredholm and Volterra integral equations | | | | 16 | Final Exam | | |
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| Ders Kitabı / Malzemesi / Önerilen Kaynaklar |
| Musayev B., Alp M., Fonksiyonel Analiz, Bole Yayınları, Ankara, (2002)
Erwin Kreyszig, Introductory functional analysis with applications, John Wiley and Sons. Inc., (1978)
I. J. Maddox, Elements of Functional Analysis, Cambridge University Press, (1988) |
| Planlanan Öğrenme Aktiviteleri ve Metodları |
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| Değerlendirme | |
| Midterm Examination | 1 | 100 | | TOPLAM | 100 | |
| Final Examination | 1 | 100 | | TOPLAM | 100 | | Term (or Year) Learning Activities | 40 | | End Of Term (or Year) Learning Activities | 60 | | TOPLAM | 100 |
| | Dersin Sunulduğu Dil | | | Staj Durumu | | None |
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| İş Yükü Hesaplaması |
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| Midterm Examination | 1 | 2 | 2 |
| Final Examination | 1 | 2 | 2 |
| Self Study | 6 | 3 | 18 |
| Individual Study for Homework Problems | 8 | 7 | 56 |
| Individual Study for Mid term Examination | 8 | 7 | 56 |
| Individual Study for Final Examination | 8 | 7 | 56 |
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| Program ve Öğrenme Çıktıları İlişkisi |
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| * Katkı Düzeyi : 1 Çok düşük 2 Düşük 3 Orta 4 Yüksek 5 Çok yüksek |
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| Yozgat Bozok University, Yozgat / TURKEY • Tel (pbx): +90 354 217 86 01 • e-mail: uo@bozok.edu.tr |