GRADUATE SCHOOL
Ph.D. In Electrical-Electronics Engineering
MATH 553 | Course Introduction and Application Information
| Course Name |
Optimization
|
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
MATH 553
|
Fall/Spring
|
3
|
0
|
3
|
7.5
|
| Prerequisites |
None
|
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| Course Language |
English
|
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| Course Type |
Elective
|
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| Course Level |
Second Cycle
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| Mode of Delivery | - | |||||
| Teaching Methods and Techniques of the Course | - | |||||
| Course Coordinator | - | |||||
| Course Lecturer(s) | ||||||
| Assistant(s) | - | |||||
| Course Objectives | Upon the completion of this course the student expected to gain an aiding tool for solving realworld problems which require LP approach, be able to have a detailed information about fundamental methods of LP such as Graphical method and the simplex method. Students will have detailed information about Duality and Sensitivity of L.P's. They will have information on unconstraint and nonlinear optimization models and methods to solve this problem. |
| Learning Outcomes |
The students who succeeded in this course;
|
| Course Description | Linear Programming: Modeling, Solution Methods, Duality in linear programming; Nonlinear programming: First and second order optimality conditions for unconstrained problems, Lagrange multipliers, convexity in mathematical programming, The KuhnTucker theorem; Discrete optimization. |
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Core Courses | |
| Major Area Courses | ||
| Supportive Courses | ||
| Media and Management Skills Courses | ||
| Transferable Skill Courses |
WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
| Week | Subjects | Related Preparation |
| 1 | Basic Linear Algebra | Operations Research Applications and Algorithms, W.L.Winston, 4th Edition , 2004. Introduction to Operations Research, 7th Edition, Hillier, Liberman, McGrawHill, 2001 |
| 2 | Introduction to Linear Programming | Operations Research Applications and Algorithms, W.L.Winston, 4th Edition , 2004. Introduction to Operations Research, 7th Edition, Hillier, Liberman, McGrawHill, 2001 |
| 3 | The Simplex Algorithm | Operations Research Applications and Algorithms, W.L.Winston, 4th Edition , 2004. Introduction to Operations Research, 7th Edition, Hillier, Liberman, McGrawHill, 2001 |
| 4 | Sensitivity Analysis | Operations Research Applications and Algorithms, W.L.Winston, 4th Edition , 2004. Introduction to Operations Research, 7th Edition, Hillier, Liberman, McGrawHill, 2001 |
| 5 | Duality | Operations Research Applications and Algorithms, W.L.Winston, 4th Edition , 2004. Introduction to Operations Research, 7th Edition, Hillier, Liberman, McGrawHill, 2001 |
| 6 | Integer Programming | Operations Research Applications and Algorithms, W.L.Winston, 4th Edition , 2004. Introduction to Operations Research, 7th Edition, Hillier, Liberman, McGrawHill, 2001 |
| 7 | Advanced Topics in LP | Operations Research Applications and Algorithms, W.L.Winston, 4th Edition , 2004. Introduction to Operations Research, 7th Edition, Hillier, Liberman, McGrawHill, 2001 |
| 8 | Nonlinear Programming | Operations Research Applications and Algorithms, W.L.Winston, 4th Edition , 2004. Introduction to Operations Research, 7th Edition, Hillier, Liberman, McGrawHill, 2001 |
| 9 | Nonlinear Programming | Operations Research Applications and Algorithms, W.L.Winston, 4th Edition , 2004. Introduction to Operations Research, 7th Edition, Hillier, Liberman, McGrawHill, 2001 |
| 10 | Probablistic Inventory Models | Operations Research Applications and Algorithms, W.L.Winston, 4th Edition , 2004. Introduction to Operations Research, 7th Edition, Hillier, Liberman, McGrawHill, 2001 |
| 11 | Game Theory | Operations Research Applications and Algorithms, W.L.Winston, 4th Edition , 2004. Introduction to Operations Research, 7th Edition, Hillier, Liberman, McGrawHill, 2001 |
| 12 | Exam | Operations Research Applications and Algorithms, W.L.Winston, 4th Edition , 2004. Introduction to Operations Research, 7th Edition, Hillier, Liberman, McGrawHill, 2001 |
| 13 | Project Presentations | Operations Research Applications and Algorithms, W.L.Winston, 4th Edition , 2004. Introduction to Operations Research, 7th Edition, Hillier, Liberman, McGrawHill, 2001 |
| 14 | Project Presentations | Operations Research Applications and Algorithms, W.L.Winston, 4th Edition , 2004. Introduction to Operations Research, 7th Edition, Hillier, Liberman, McGrawHill, 2001 |
| 15 | Semester Review | Operations Research Applications and Algorithms, W.L.Winston, 4th Edition , 2004. Introduction to Operations Research, 7th Edition, Hillier, Liberman, McGrawHill, 2001 |
| 16 | Final Exam |
| Course Notes/Textbooks | "Operations Research Applications and Algorithms" by W.L.Winston, Duxbury Press 4th Edition , 1997, ISBN-13: 978-0534520205 |
| Suggested Readings/Materials | "Introduction to Operations Research", 7th Edition, Hillier, Liberman, McGrawHill, 2001. ISBN-13: 978-0072461213 |
EVALUATION SYSTEM
| Semester Activities | Number | Weigthing |
| Participation | ||
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques | ||
| Portfolio | ||
| Homework / Assignments | ||
| Presentation / Jury |
2
|
20
|
| Project |
1
|
20
|
| Seminar / Workshop | ||
| Oral Exams | ||
| Midterm |
2
|
25
|
| Final Exam |
1
|
35
|
| Total |
| Weighting of Semester Activities on the Final Grade |
5
|
65
|
| Weighting of End-of-Semester Activities on the Final Grade |
1
|
35
|
| Total |
ECTS / WORKLOAD TABLE
| Semester Activities | Number | Duration (Hours) | Workload |
|---|---|---|---|
| Theoretical Course Hours (Including exam week: 16 x total hours) |
16
|
3
|
48
|
| Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
0
|
|
| Study Hours Out of Class |
10
|
6
|
60
|
| Field Work |
0
|
||
| Quizzes / Studio Critiques |
0
|
||
| Portfolio |
0
|
||
| Homework / Assignments |
0
|
||
| Presentation / Jury |
2
|
4
|
8
|
| Project |
1
|
9
|
9
|
| Seminar / Workshop |
0
|
||
| Oral Exam |
0
|
||
| Midterms |
2
|
25
|
50
|
| Final Exam |
1
|
50
|
50
|
| Total |
225
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
|
#
|
Program Competencies/Outcomes |
* Contribution Level
|
||||
|
1
|
2
|
3
|
4
|
5
|
||
| 1 | Accesses information in breadth and depth by conducting scientific research in Electrical and Electronics Engineering; evaluates, interprets and applies information. | |||||
| 2 | Is well-informed about contemporary techniques and methods used in Electrical and Electronics Engineering and their limitations. | |||||
| 3 | Uses scientific methods to complete and apply information from uncertain, limited or incomplete data; can combine and use information from different disciplines. Knows and applies the research methods in studies of the area with a high level of skill. |
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| 4 | Is informed about new and upcoming applications in the field and learns them whenever necessary. | |||||
| 5 | Defines and formulates problems related to Electrical and Electronics Engineering, develops methods to solve them and uses progressive methods in solutions. Can independently realize novel studies that bring innovation to the field, or methods, or design, or known methods. |
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| 6 | Develops novel and/or original methods, designs complex systems or processes and develops progressive/alternative solutions in designs. | |||||
| 7 | Designs and implements studies based on theory, experiments and modeling; analyses and resolves the complex problems that arise in this process. Performs critical analysis, synthesis and evaluation of new and complex ideas. | |||||
| 8 | Can work effectively in interdisciplinary teams as well as teams of the same discipline, can lead such teams and can develop approaches for resolving complex situations; can work independently and takes responsibility. | |||||
| 9 | Engages in written and oral communication at least in Level C1 of the European Language Portfolio Global Scale. | |||||
| 10 | Communicates the process and the results of his/her studies in national and international venues systematically, clearly and in written or oral form. |
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| 11 | Evaluates the results of scientific, technological and engineering research and development activities in terms of the social, environmental, health, safety and legal aspects. Examines social relations and norms related to the field, and develops and makes attempts to change them if necessary. Knows their project management and business applications, and is aware of their limitations in Electrical and Electronics Engineering applications. |
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| 12 | Highly regards scientific and ethical values in data collection, interpretation, communication and in every professional activity. Adheres to the principles of research and publication ethics. |
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*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest