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Information
| Code | EM540 |
| Name | Nonlinear Programming |
| Term | 2024-2025 Academic Year |
| Term | Spring |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Doktora Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ALİ KOKANGÜL |
| Course Instructor |
1 |
Course Goal / Objective
Mathematical modeling of the problems in real life, selection of the most suitable method for the modeled problem, solution derivation, transfer of the information necessary for the testing and implementation of the validity of the solution.
Course Content
Local and global optimization, Optimality conditions, Necessary and sufficient conditions for optimality, Unconstrained optimization, Constrained Optimization, Necessary and sufficient conditions for constrained optimization, Quadratic programming, Lagrangean methods, Convex analysis and convex programming, Multi-objective optimization methods, Computer implementation.
Course Precondition
The course has no prerequisites
Resources
Linear and Nonlinear Programming. Luenberger, D.G.; Ye Y. INTRODUCTION TO OPERATIONS RESEARCH, SEVENTH EDITION, Hillier/ Lieberman
Notes
Operations Research. Murthy, P.R.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Improving analytical thinking ability |
| LO02 | Model problems in real life |
| LO03 | To be able to make sensitivity analysis |
| LO04 | To be able to apply linear and nonlinear mathematical programming techniques to real problems. |
| LO05 | To learn nonlinear mathematical modeling techniques |
| LO06 | To gain the ability to use computer package programs used in the solution of mathematical modeling problems. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Conducts scientific research in industrial engineering, understands, interprets and applies knowledge in his/her field domain both in-depth and in-breadth. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Keeps up with the recent changes and applications in the field of Industrial Engineering and examines and learns these innovations when necessary. | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Acquires detailed knowledge for methods and tools of industrial engineering and their limitations. | 5 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Identifies, gathers and uses necessary information and data. | 4 |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Develops original definitions that will provide innovation to the field at the level of expertise for current and advanced information in the field based on graduate qualifications. | 3 |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | Designs and performs analytical modeling and experimental research and analyze/solves complex matters emerged in this process. | 5 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Has the ability to develop/propose new and/or original ideas and methods, propose new solutions for designing systems, components or processes. | 1 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Designs Industrial Engineering problems, develops new methods to solve the problems and applies them. | 4 |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Works in multi-disciplinary teams, take a leading role and responsibility and develop solutions for complex problems. | 5 |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Completes and applies the knowledge by using limited resources in scientific methods and integrates the knowledge in the field with the knowledge form various disciplines. | 3 |
| PLO11 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Uses a foreign language in verbal and written communication at least B2 level of European Language Portfolio. | |
| PLO12 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Presents his/her research findings systematically and clearly in oral or written forms in national and international platforms. | 4 |
| PLO13 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Understands social and environmental implications of engineering practice. | 1 |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Considers social, scientific and ethical values in data collection, interpretation and announcement processes and professional activities. | 4 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Local and global optimization | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 2 | Optimality conditions | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 3 | Necessary and sufficient conditions for optimality | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 4 | Unconstrained optimization-I | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 5 | Unconstrained optimization-II | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 6 | Constrained Optimization-I | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 7 | Constrained Optimization-II | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 8 | Mid-Term Exam | Preparation for the exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Necessary and sufficient conditions for constrained optimization | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 10 | Quadratic programming | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 11 | Lagrangian Methods lecture | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 12 | Convex analysis and convex programming | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 13 | Multi-objective optimization methods | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 14 | Bilgisayar uygulamaları-I | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 15 | Bilgisayar uygulamaları-II | Preliminary research on the subject and investigation of current applications | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 16 | Term Exams | Preparation for the exam | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Preparation for the exam | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 5 | 70 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
| Final Exam | 1 | 30 | 30 |
| Total Workload (Hour) | 157 | ||
| Total Workload / 25 (h) | 6,28 | ||
| ECTS | 6 ECTS | ||