DEPARTMENT OF INDUSTRIAL ENGINEERING (ENGLISH)
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

Ders Genel Tanıtım Bilgileri

Course Code:

1411421006

Ders İsmi:

Optimization Methods and Tools

Ders Yarıyılı:

Spring

Ders Kredileri:

Theoretical	Practical	Credit	ECTS
2	2	3	6

Language of instruction:

Ders Koşulu:

Ders İş Deneyimini Gerektiriyor mu?:

Type of course:

Necessary

Course Level:

Bachelor

TR-NQF-HE:6. Master`s Degree

QF-EHEA:First Cycle

EQF-LLL:6. Master`s Degree

Mode of Delivery:

Face to face

Course Coordinator :

Dr.Öğr.Üyesi Elif TARAKÇI

Course Lecturer(s):

Course Assistants:

Dersin Amaç ve İçeriği

Course Objectives:	To create the necessary infrastructure for the students to work on advanced optimization by giving perspectives and methods to model and solve optimization problems, which are very common in real life, where it is a question of choosing the best among various alternatives.
Course Content:	Introduction to Optimization, Convex Analysis, Optimality Conditions and Duality, Unconstrained Problems, Inequality Constrained Problems, Inequality and Equation Constrained Problems, Second Order Necessary and Sufficient Optimality Conditions for Constrained Problems, Lagrangian Duality and Saddle Point Optimality Conditions, Algorithms and Convergence in Application Fields Problems.

Learning Outcomes

The students who have succeeded in this course;

Learning Outcomes

1 - Knowledge
Theoretical - Conceptual
1) Students will acquire basic knowledge about mathematical optimization.
2 - Skills
Cognitive - Practical
1) Students will gain the ability to solve mathematical models.
3 - Competences
Communication and Social Competence
Learning Competence
1) Students will learn how mathematical optimization techniques work.
Field Specific Competence
1) Students will recognize the limitations, assumptions, and specific application areas of techniques.
Competence to Work Independently and Take Responsibility

Ders Akış Planı

Week	Subject	Related Preparation
1)	Introduction to Optimization	TEXT BOOK
2)	Convex Analysis	TEXT BOOK
3)	Convex AnalysisK	TEXT BOOK
4)	Constrained Optimization: Unconstrained Optimization, Inequality Constrained Problems, Equality and Inequality Constrained Problems, Second Order Necessary and Sufficient Conditions for Unconstrained Optimization Problems	TEXT BOOK
5)	Lagrange Dual Problem, Duality Theorems and Saddle Point Optimality Conditions	TEXT BOOK
6)	Optimization with Numerical Methods	TEXT BOOK
7)	Optimization with Numerical Methods	TEXT BOOK
8)	MIDTERM	TEXT BOOK
9)	Optimization with Numerical Methods	TEXT BOOK
10)	Optimization with Numerical Methods	TEXT BOOK
11)	Optimization Problems in Application Areas	TEXT BOOK
12)	Optimization Problems in Application Areas	TEXT BOOK
13)	Optimization Problems in Application Areas	TEXT BOOK
14)	Optimization Problems in Application Areas	TEXT BOOK
15)	Optimization Problems in Application Areas	TEXT BOOK
16)	FINAL	TEXT BOOK

Sources

Course Notes / Textbooks:

Mokhtar S. Bazaraa, Hanif D. Sherali, C. M. Shetty, Nonlinear Programming: Theory and Algorithms, John Wiley & Sons, Inc., New York, 2006.
Edwin K. P. Chong and Stanislaw H. Żak, An Introduction to Optimization, Second Edition, Wiley-Interscience Series in Discrete Mathematics and Optimization, John Wiley & Sons, Inc., New York, ©2001.
Wısmer, Davıd A., Introduction To Nonlinear Optimization: A Problem Solving Approach, North-Holland Publishing Company, 1978.
Ronald L. Rardin, Optimization in Operations Research, Prince Hall, Inc., Upper Saddle River, NJ, 1998.
Bal H., 1985, Optimizasyon Teknikleri, G. Ü. Yayını.
M. Asghar Bhatti, Practical optimization methods: with Mathematica Applications, Springer, New York, ©2000.

References:

Ders - Program Öğrenme Kazanım İlişkisi

Ders Öğrenme Kazanımları	1	2	3	4
Program Outcomes
1) Adequate knowledge of mathematics (a), science (b) and industrial engineering (c) (1) and the ability to use this knowledge in complex engineering problems.
2) Ability to work effectively both individually and in interdisciplinary and multidisciplinary teams.
3) Awareness of the necessity of lifelong learning and the ability to access information, to follow developments in science and technology, and to constantly renew oneself.
4) Knowledge of project management, risk management, innovation and change management, entrepreneurship and sustainable development
5) Awareness of the sectors and the ability to prepare a business plan.
6) Professional and ethical responsibility awareness and acting in accordance with ethical principles.
7) Information about the problems of the age in the field of engineering and the effects and legal consequences of engineering practices on health, environment and safety in universal and social dimensions.
8) Information about current engineering practices and standards used in engineering practices.
9) The ability to identify, formulate and solve complex engineering problems, and the ability to select and apply appropriate analysis and modeling methods for this purpose.
10) The ability to design a complex system, process, device or product using modern methods under realistic constraints and conditions and to meet specific requirements.
11) The ability to develop, select and use modern techniques and tools necessary for the solution of engineering problems, and the ability to use information technologies effectively.
12) Ability to design and conduct experiments, collect data, analyze data and interpret results for the study of engineering problems or research issues.
13) Ability to communicate effectively, write reports and make presentations in Turkish and English with oral, written and visual methods.
14) In-depth knowledge of appropriate analytical and experimental methods and computational methods for system integration such as simulation (a), production systems (b) operations research (c) and statistics (d).
15) Skills in designing (a) and improving (b), defining goals and criteria (c), analyzing (d) and developing solutions (e) systems that include people, materials, information, equipment and energy to creatively solve real-life problems

Ders - Öğrenme Kazanımı İlişkisi

No Effect	1 Lowest	2 Low	3 Average	4 High	5 Highest

	Program Outcomes	Level of Contribution
1)	Adequate knowledge of mathematics (a), science (b) and industrial engineering (c) (1) and the ability to use this knowledge in complex engineering problems.
2)	Ability to work effectively both individually and in interdisciplinary and multidisciplinary teams.
3)	Awareness of the necessity of lifelong learning and the ability to access information, to follow developments in science and technology, and to constantly renew oneself.
4)	Knowledge of project management, risk management, innovation and change management, entrepreneurship and sustainable development
5)	Awareness of the sectors and the ability to prepare a business plan.
6)	Professional and ethical responsibility awareness and acting in accordance with ethical principles.
7)	Information about the problems of the age in the field of engineering and the effects and legal consequences of engineering practices on health, environment and safety in universal and social dimensions.
8)	Information about current engineering practices and standards used in engineering practices.
9)	The ability to identify, formulate and solve complex engineering problems, and the ability to select and apply appropriate analysis and modeling methods for this purpose.
10)	The ability to design a complex system, process, device or product using modern methods under realistic constraints and conditions and to meet specific requirements.
11)	The ability to develop, select and use modern techniques and tools necessary for the solution of engineering problems, and the ability to use information technologies effectively.
12)	Ability to design and conduct experiments, collect data, analyze data and interpret results for the study of engineering problems or research issues.
13)	Ability to communicate effectively, write reports and make presentations in Turkish and English with oral, written and visual methods.
14)	In-depth knowledge of appropriate analytical and experimental methods and computational methods for system integration such as simulation (a), production systems (b) operations research (c) and statistics (d).	5
15)	Skills in designing (a) and improving (b), defining goals and criteria (c), analyzing (d) and developing solutions (e) systems that include people, materials, information, equipment and energy to creatively solve real-life problems	5

Öğrenme Etkinliği ve Öğretme Yöntemleri

Anlatım
Course
Homework
Problem Çözme
Soru cevap/ Tartışma

Ölçme ve Değerlendirme Yöntemleri ve Kriterleri

Yazılı Sınav (Açık uçlu sorular, çoktan seçmeli, doğru yanlış, eşleştirme, boşluk doldurma, sıralama)
Homework

Assessment & Grading

Semester Requirements	Number of Activities	Level of Contribution
Homework Assignments	1	% 10
Midterms	1	% 30
Semester Final Exam	1	% 60
total		% 100
PERCENTAGE OF SEMESTER WORK		% 40
PERCENTAGE OF FINAL WORK		% 60
total		% 100

İş Yükü ve AKTS Kredisi Hesaplaması

Activities	Number of Activities	Duration (Hours)	Workload
Course Hours	14	2	28
Application	14	2	28
Special Course Internship (Work Placement)	14	5	70
Homework Assignments	1	4	4
Midterms	1	2	2
Final	1	3	3
Total Workload			135