| Dersin Kodu | Dersin Adı | Dersin Türü | Yıl | Yarıyıl | AKTS | | MAT535 | SYMBOLIC COMPUTATION I | Seçmeli | 1 | 2 | 6 |
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| Dersin Seviyesi |
| Yüksek Lisans |
| Dersin Amacı |
| To teach the solution of non-linear equations using symbolic calculation techniques |
| Dersi Veren Öğretim Görevlisi/Görevlileri |
| Doç. Dr. Yusuf Pandır |
| Öğrenme Çıktıları |
| 1 | To define given concepts | | 2 | To make sense given concepts | | 3 | To explain the basic examples of given concepts | | 4 | To relate between given concepts | | 5 | To explain usage areas given concepts |
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| Öğrenim Türü |
| Formal Education |
| Dersin Ön Koşulu Olan Dersler |
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| Ders İçin Önerilen Diğer Hususlar |
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| Dersin İçeriği |
| Non-linear differential equations, Wave transformation for partial differential equations, Transformation of differential equations into algebraic equation systems, Symbolic calculation techniques in Matlab and Mathematica, Symbolic solutions of algebraic equation systems, Solution of Riccati differential equation with symbolic calculation, Riccati of non-linear partial differential equations The solution of reduced form to the equation form, Complete solution of high dimensional non-linear differential equations, Complete solution of generalized high order non-linear partial differential equations depending on force and derivative order, Structure and physical analysis of solution functions of differential equations |
| Haftalık Ayrıntılı Ders İçeriği |
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| 1 | Non-linear differential equations, wave transformation for partial differential equations | | | | 2 | Conversion of differential equations to algebraic equations | | | | 3 | Conversion of differential equations to algebraic equations | | | | 4 | Symbolic calculation techniques in Matlab and Mathematica | | | | 5 | Symbolic calculation techniques in Matlab and Mathematica | | | | 6 | Symbolic calculation techniques in Matlab and Mathematica | | | | 7 |
Symbolic solutions of algebraic equations | | | | 8 |
Solution of Riccati differential equation by symbolic calculation | | | | 9 |
Solution of non-linear partial differential equations by reducing to Riccati equation form | | | | 10 |
Solution of non-linear partial differential equations by reducing to Riccati equation form | | | | 11 | Exact solution of generalized higher order non-linear partial differential equations | | | | 12 | Exact solution of generalized higher order non-linear partial differential equations | | | | 13 | Structure and physical analysis of solution functions of differential equations | | | | 14 | Structure and physical analysis of solution functions of differential equations | | | | 15 | Structure and physical analysis of solution functions of differential equations | | |
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| Ders Kitabı / Malzemesi / Önerilen Kaynaklar |
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| 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 | |
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| İş Yükü Hesaplaması |
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| Midterm Examination | 1 | 2 | 2 |
| Final Examination | 1 | 2 | 2 |
| Attending Lectures | 15 | 3 | 45 |
| Individual Study for Mid term Examination | 7 | 8 | 56 |
| Individual Study for Final Examination | 8 | 8 | 64 |
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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 |