| Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
|---|---|---|---|---|---|
| Optımızatıon Technıques In Engıneerıng | EEM 505 | 0 | 3 + 0 | 3 | 6 |
| Ön Koşul Dersleri | |
| Önerilen Seçmeli Dersler | |
| Dersin Dili | Türkçe |
| Dersin Seviyesi | YUKSEK_LISANS |
| Dersin Türü | Zorunlu |
| Dersin Koordinatörü | Doç.Dr. GÖKÇEN ÇETİNEL |
| Dersi Verenler | Doç.Dr. GÖKÇEN ÇETİNEL, Prof.Dr. İRFAN YAZICI, |
| Dersin Yardımcıları | |
| Dersin Kategorisi | Alanına Uygun Temel Öğretim |
| Dersin Amacı | To understand basic linear and nonlinear optimisation techniques |
| Dersin İçeriği | Week 1: Introduction to Optimization: Statement of an Optimization Problem, Classification of Optimization Methods, Optimization Techniques.
Week 2: Background (Minimum and Maximum points of functions, convex and concave functions)
Week 3: Classical Optimization Techniques I: Single Variable Optimization, Multivariate Optimization with no Constraints.
Week 4: Classical Optimization Techniques II: Multivariate Optimization with Equality Constraints, Direct Substitution, Constrained Variation, Lagrange Multipliers.
Week 5: Classical Optimization Techniques III: Multivariate Optimization with Inequality Constraints, Kuhn-Tucker Conditions, Constraint Qualification, Convex Programming Problem.
Week 6: Linear Programming I: Applications of LP, Standard form of LP, Pivotal Reduction.
Week 7: Linear Programming II: Simplex Algorithm.
Week 8: Identifying an Optimal Point, İmproving a Non-optimal Basic Feasible Solution, Two Phases of Simplex Method.
Week 9: Nonlinear Programming I: One Dimensional Minimization Methods, Elimination Methods, Comparison of Methods.
Week 10: Nonlinear Programming II: Interpolation Methods, Direct Root Methods.
Week 11: Nonlinear Programming III: Unconstraint Optimization Techniques, Rate of Convergence, Scaling of Design Variables.
Week 12: Direct Search Methods
Week 13: Indirect Search Methods
Week 14: Final Projects. |
| # | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
|---|---|---|---|
| 1 | Lecture, Drilland Practice, Simulation, Problem Solving, | Testing, Homework, Project / Design, | |
| 2 | Lecture, Drilland Practice, Simulation, Problem Solving, | Testing, Homework, Project / Design, | |
| 3 | Lecture, Drilland Practice, Simulation, Problem Solving, Project Based Learning, | Testing, Homework, Project / Design, | |
| 4 | Lecture, Drilland Practice, Simulation, Self Study, Project Based Learning, | Testing, Homework, Project / Design, | |
| 5 | Lecture, Drilland Practice, Simulation, Problem Solving, Project Based Learning, | Testing, Homework, Project / Design, |
| Hafta | Ders Konuları | Ön Hazırlık |
|---|---|---|
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| Kaynaklar | |
|---|---|
| Ders Notu | Powerpoint presentations, lecture notes and books. |
| Ders Kaynakları | 1. Introduction to Optimization, P. Pedregal, Springer, 2003. |
| Sıra | Program Çıktıları | Katkı Düzeyi | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Ability; to Access to wide and deep information with scientific researches in the field of Engineering, evaluate, interpret knowledge and implement. | X | |||||
| 2 | Ability; To complete and implement “Limited or incomplete data” by using the scientific methods. To stick knowledge of different disciplinarians together. | X | |||||
| 3 | Ability; to consolidate engineering problems, develop proper method to solve and apply innovative solutions. | X | |||||
| 4 | Ability; To develop new and original ideas and methods, To develop new innovative solutions at design of system, component or process | ||||||
| 5 | Comprehensive information on modern techniques, methods and their borders which are being applied to engineering. | X | |||||
| 6 | Ability; to design and apply analytical, modeling and experimental based research, analyze and interpret the faced complex issues during the design and apply process. | X | |||||
| 7 | High level ability to define the required information, data and reach, assess. | X | |||||
| 8 | Ability; To lead multi-disciplinary teams To take responsibility to define approaches for complex situations. | ||||||
| 9 | Systematic and clear verbal or written transfer of the process and results of studies at national and international environments | ||||||
| 10 | Social, scientific and ethical values guarding adequacy at all professional activities and at the stage of data collection, interpretation, announcement. | ||||||
| 11 | Awareness at new and developing application of profession and ability to analyze and study on those applications. | ||||||
| 12 | Ability to interpret engineering application’s social and environmental dimensions and it’s compliance with the social environment. | ||||||
| Değerlendirme Sistemi | |
|---|---|
| Yarıyıl Çalışmaları | Katkı Oranı |
| 1. Ödev | 10 |
| 1. Performans Görevi (Seminer) | 30 |
| 1. Ara Sınav | 50 |
| 2. Ödev | 10 |
| Toplam | 100 |
| 1. Yıl İçinin Başarıya | 60 |
| 1. Final | 40 |
| Toplam | 100 |
| AKTS - İş Yükü Etkinlik | Sayı | Süre (Saat) | Toplam İş Yükü (Saat) |
|---|---|---|---|
| Course Duration (Including the exam week: 16x Total course hours) | 16 | 3 | 48 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 3 | 48 |
| Mid-terms | 1 | 2 | 2 |
| Quiz | 1 | 2 | 2 |
| Assignment | 2 | 10 | 20 |
| Project / Design | 1 | 20 | 20 |
| Final examination | 1 | 2 | 2 |
| Toplam İş Yükü | 142 | ||
| Toplam İş Yükü / 25 (Saat) | 5,68 | ||
| Dersin AKTS Kredisi | 6 | ||