SECTION I: GENERAL INFORMATION ABOUT THE COURSE |
| Course Code | Course Name | Year | Semester | Theoretical | Practical | Credit | ECTS |
| BVA5107 | Optimization Techniques | 1 | Fall | 1 | 2 | 2 | 6 |
| Course Type : | Compulsory |
| Cycle: | Associate TQF-HE:5. Master`s Degree QF-EHEA:Short Cycle EQF-LLL:5. Master`s Degree |
| Language of Instruction: | Turkish |
| Prerequisities and Co-requisities: | N/A |
| Mode of Delivery: | Face to face |
| Name of Coordinator: | Instructor ÖZGE DEMİR |
| Dersin Öğretim Eleman(lar)ı: |
Instructor ÖZGE DEMİR |
| Dersin Kategorisi: | Programme Specific |
SECTION II: INTRODUCTION TO THE COURSE |
| Course Objectives: | This course covers mathematical modeling and solution techniques for decision-making problems encountered in big data environments. Students are introduced to optimization methods such as linear and nonlinear programming, integer programming, constraint programming, and heuristic algorithms. The course emphasizes the relationship between optimization and data analytics, machine learning, and operational decision support systems. It also introduces practical use of Python and similar programming languages, as well as optimization libraries (such as Pyomo, SciPy.optimize). |
| Course Content: | It covers mathematical models, methods and applications for finding the best solution under limited resources. |
| Knowledge (Described as Theoritical and/or Factual Knowledge.) | ||
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1) Understand the importance of optimization in machine learning algorithms |
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| Skills (Describe as Cognitive and/or Practical Skills.) | ||
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1) Can apply linear and nonlinear optimization techniques |
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2) Can solve optimization problems with programming languages such as Python. |
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| Competences (Described as "Ability of the learner to apply knowledge and skills autonomously with responsibility", "Learning to learn"," Communication and social" and "Field specific" competences.) | ||
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1) Can turn real-life problems into mathematical models. |
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2) Analyses that contribute to decision-making processes in the context of big data |
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| Week | Subject | ||
| Related Preparation | Further Study | ||
| 1) | What is Optimization? Basic Concepts | ||
| 2) | Matematiksel Modelleme | ||
| 3) | Linear Programming (LP) | ||
| 4) | Linear Programming (LP) | ||
| 5) | Graphical Method in LP Problems | ||
| 6) | Simplex Method | ||
| 7) | Duality and Sensitivity Analysis | ||
| 8) | midterm exam | ||
| 9) | Integer Programming | ||
| 10) | Heuristic algorithm | ||
| 11) | Genetic algorithm | ||
| 12) | Multi-Objective Optimization | ||
| 13) | Integer Programming | ||
| 14) | İnteger programming | ||
| Course Notes / Textbooks: | |
| References: | Yapay Zeka Temelli Optimizasyon;Matlab ve Python UygulamalarıylaHacı Hasan Örkcü,Volkan Soner Özsoy,Emre Koçak Yöneylem Araştırması;Modeller, Yöntemler, ProblemlerHacı Hasan Örkcü,Volkan Soner Özsoy,Emre Koçak |
DERS ÖĞRENME ÇIKTILARI - PROGRAM ÖĞRENME ÇIKTILARI İLİŞKİSİ |
| Ders Öğrenme Çıktıları (DÖÇ) | 1 |
4 |
2 |
3 |
5 |
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|---|---|---|---|---|---|---|---|---|---|
| Program Öğrenme Çıktıları (PÖÇ) | |||||||||
| 1) It explains fundamental concepts in mathematics, statistics, and probability; and applies this knowledge to data analysis, modeling, and interpretation of results. | |||||||||
| 2) It explains the principles of algorithm design and develops software for solving problems using at least one programming language. | |||||||||
| 3) It compares machine learning and data mining algorithms, selects the appropriate method, and applies it to real data. | |||||||||
| 4) Big data platforms utilize distributed systems and cloud computing architectures to perform data processing operations. | |||||||||
| 5) They apply natural language processing techniques to text data and develop basic NLP-based applications. | |||||||||
| 6) It analyzes different data sources, transforms them into meaningful outputs, and presents them using appropriate visualization tools. | |||||||||
| 7) It creates data-driven decision models using decision support systems. | |||||||||
| 8) It develops optimization models and produces solutions for industrial and sectoral problems. | |||||||||
| 9) In professional practice, we operate within the framework of ethical principles, data security, and social responsibility. | |||||||||
| 10) They keep up with current technological developments in their field, actively participate in teamwork, and develop a lifelong learning awareness. | |||||||||
SECTION III: RELATIONSHIP BETWEEN COURSE UNIT AND COURSE LEARNING OUTCOMES (CLOs) |
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Programme Learning Outcomes | Contribution Level (from 1 to 5) | |
| 1) | It explains fundamental concepts in mathematics, statistics, and probability; and applies this knowledge to data analysis, modeling, and interpretation of results. | 2 |
| 2) | It explains the principles of algorithm design and develops software for solving problems using at least one programming language. | 1 |
| 3) | It compares machine learning and data mining algorithms, selects the appropriate method, and applies it to real data. | 1 |
| 4) | Big data platforms utilize distributed systems and cloud computing architectures to perform data processing operations. | 1 |
| 5) | They apply natural language processing techniques to text data and develop basic NLP-based applications. | 1 |
| 6) | It analyzes different data sources, transforms them into meaningful outputs, and presents them using appropriate visualization tools. | 1 |
| 7) | It creates data-driven decision models using decision support systems. | 2 |
| 8) | It develops optimization models and produces solutions for industrial and sectoral problems. | 5 |
| 9) | In professional practice, we operate within the framework of ethical principles, data security, and social responsibility. | 1 |
| 10) | They keep up with current technological developments in their field, actively participate in teamwork, and develop a lifelong learning awareness. |
SECTION IV: TEACHING-LEARNING & ASSESMENT-EVALUATION METHODS OF THE COURSE |
| Midterm | |
| Final Exam | |
| Homework Evaluation |
| Measurement and Evaluation Methods | # of practice per semester | Level of Contribution |
| Homework Assignments | 1 | % 15.00 |
| Midterms | 1 | % 35.00 |
| Semester Final Exam | 1 | % 50.00 |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 50 | |
| PERCENTAGE OF FINAL WORK | % 50 | |
| Total | % 100 | |
SECTION V: WORKLOAD & ECTS CREDITS ALLOCATED FOR THE COURSE |
| WORKLOAD OF TEACHING & LEARNING ACTIVITIES | |||
| Teaching & Learning Activities | # of Activities per semester | Duration (hour) | Total Workload |
| Course | 14 | 3 | 42 |
| Laboratory | 0 | 0 | 0 |
| Application | 0 | 0 | 0 |
| Special Course Internship (Work Placement) | 0 | 0 | 0 |
| Field Work | 0 | 0 | 0 |
| Study Hours Out of Class | 14 | 1 | 14 |
| Presentations / Seminar | 0 | 0 | 0 |
| Project | 0 | 0 | 0 |
| Homework Assignments | 1 | 15 | 15 |
| Total Workload of Teaching & Learning Activities | - | - | 71 |
| WORKLOAD OF ASSESMENT & EVALUATION ACTIVITIES | |||
| Assesment & Evaluation Activities | # of Activities per semester | Duration (hour) | Total Workload |
| Quizzes | 0 | 0 | 0 |
| Midterms | 1 | 36 | 36 |
| Semester Final Exam | 1 | 46 | 46 |
| Total Workload of Assesment & Evaluation Activities | - | - | 82 |
| TOTAL WORKLOAD (Teaching & Learning + Assesment & Evaluation Activities) | 153 | ||
| ECTS CREDITS OF THE COURSE (Total Workload/25.5 h) | 6 | ||