Graduate
Institute of Graduate Studies
Mathematics And Computer Science
Anlık RSS Bilgilendirmesi İçin Tıklayınız.Düzenli bilgilendirme E-Postaları almak için listemize kaydolabilirsiniz.


Optimization

Course CodeSemester Course Name LE/RC/LA Course Type Language of Instruction ECTS
YMB0029 Optimization 3/0/0 DE Turkish 7
Course Goals
To give the students a working knowledge of optimization theory and methods and to equip the students with sufficient backround for further study of advanced topics in optimization.
Prerequisite(s) -
Corequisite(s) -
Special Requisite(s) The minimum qualifications that are expected from the students who want to attend the course.(Examples: Foreign language level, attendance, known theoretical pre-qualifications, etc.)
Instructor(s) Assist. Prof. Dr. Hikmet Çağlar, Assist. Prof. Dr. Fatih Uçar
Course Assistant(s)
Schedule Day, hours, XXX Campus, classroom number.
Office Hour(s) Instructor name, day, hours, XXX Campus, office number.
Teaching Methods and Techniques Lecture and laboratory recitation
Principle Sources 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.
Other Sources M. Asghar Bhatti, Practical optimization methods: with Mathematica Applications, Springer, New York, ©2000.
Course Schedules
Week Contents Learning Methods
1. Week Introduction to Optimization Lecture and laboratory recitation
2. Week Convex Analysis Lecture and laboratory recitation
3. Week Convex Analysis Lecture and laboratory recitation
4. Week Constrained Optimization: Unconstrained Optimization, Problems with Equality Constraints, Problems with Inequality and Equality Constraints Lecture and laboratory recitation
5. Week Constrained Optimization: Unconstrained Optimization, Problems with Equality Constraints, Problems with Inequality and Equality Constraints Lecture and laboratory recitation
6. Week Computational Methods Lecture and laboratory recitation
7. Week Computational Methods Lecture and laboratory recitation
8. Week Midterm Lecture and laboratory recitation
9. Week Computational Methods Lecture and laboratory recitation
10. Week Computational Methods Lecture and laboratory recitation
11. Week Optimization in Application Area Lecture and laboratory recitation
12. Week Optimization in Application Area Lecture and laboratory recitation
13. Week Optimization in Application Area Lecture and laboratory recitation
14. Week Optimization in Application Area Lecture and laboratory recitation
15. Week
16. Week
17. Week
Assessments
Evaluation tools Quantity Weight(%)
Midterm(s) 1 40
Homework / Term Projects / Presentations 2 20
Final Exam 1 40


Program Outcomes
PO-1Have scientific research in mathematics and computer science in the level of theoretical and practical knowledge.
PO-2On the basis of undergraduate level qualifications, develop and deepen the same or a different areas of information at the level of expertise, and analyze and interpret by using statistical methods
PO-3Develop new strategic approaches for the solution of complex problems encountered in applications related to the field and unforeseen and take responsibility for the solution.
PO-4Evaluate critically skills acquired in the field of information in the level of expertise and assess the learning guides.
PO-5Transfer current developments in the field and their work to the groups inside and outside the area supporting with quantitative and qualitative datas as written, verbal and visual by a systematic way.
PO-6Use information and communication technologies with computer software in advanced level.
PO-7Develop efficient algorithms by modeling problems faced in the field and solve such problems by using actual programming languages.
PO-8Respect to social, scientific, cultural and ethical values at the stages of data collection related to the field, interpretation, and implementation.
PO-9To solve problems related to the field, establish functional interacts by using strategic decision making processes.
PO-10Establish and discuss in written, oral and visual communication in an advanced level by using at least one foreign language.
Learning Outcomes
LO-1I. Apply konvex analysis.
LO-2II. Solve constrained and unconstrained optimization problems
LO-3III. Solve Lagrange dual problem.
LO-4IV. Apply optimization to computational methods.
Course Assessment Matrix:
Program Outcomes - Learning Outcomes Matrix
 PO 1PO 2PO 3PO 4PO 5PO 6PO 7PO 8PO 9PO 10