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Course Description |
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Course Name |
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Optimization Techniques - II |
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Course Code |
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İSB222 |
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Course Type |
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Compulsory |
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Level of Course |
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First Cycle |
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Year of Study |
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2 |
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Course Semester |
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Spring (16 Weeks) |
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ECTS |
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5 |
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Name of Lecturer(s) |
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Prof.Dr. SELAHATTİN KAÇIRANLAR |
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Learning Outcomes of the Course |
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understand unconstrained optimization the problems and solutions use unrestricted multivariate methods for the solution of optimization problems understand the multi-dimensional optimization problems with equality constraints apply Jacobian and the methods of Lagrange Understand inequality constrained optimization problems Write and solve the Kuhn-Tucker Conditions understand search methods, to distinguish the relationship between them apply search methods for solving optimization problems
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Mode of Delivery |
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Face-to-Face |
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Prerequisites and Co-Prerequisites |
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None |
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Recommended Optional Programme Components |
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None |
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Aim(s) of Course |
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to solve unconstrained and constrained optimization problems, to learn search methods |
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Course Contents |
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Unrestricted problems, equality restricted optimization problems, inequality restricted optimization problems, nonlinear programming, single and multi variable unrestricted optimization methods, restricted optimization methods, geometric programming, target programming. |
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Language of Instruction |
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Turkish |
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Work Place |
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Faculty of Arts and Sciences Annex Classrooms |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
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1 |
Unconstrained Optimization |
Source reading |
Lecture discussion and problem-solving |
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2 |
Unrestricted Multivariable Optimization |
Source reading |
Lecture discussion and problem-solving |
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3 |
Unrestricted Multivariable Optimization |
Source reading |
Lecture discussion and problem-solving |
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4 |
Multidimensional Equality Constrained Optimization Problems |
Source reading |
Lecture discussion and problem-solving |
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5 |
Multidimensional Equality Constrained Optimization Problems |
Source reading |
Lecture discussion and problem-solving |
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6 |
Inequality Constrained Optimization Problems |
Source reading |
Lecture discussion and problem-solving |
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7 |
Kuhn-Tucker conditions |
Source reading |
Lecture discussion and problem-solving |
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8 |
Mid-term Exam |
Rewview the topics discussed in the lecture notes and sources |
Written exam |
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9 |
Univariate Search Techniques |
Source reading |
Lecture discussion and problem-solving |
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10 |
Full Search, Search Two Points of Symmetric |
Source reading |
Lecture discussion and problem-solving |
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11 |
Fibonacci Searchı |
Source reading |
Lecture discussion and problem-solving |
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12 |
Search Two Points of Symmetric |
Source reading |
Lecture discussion and problem-solving |
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13 |
Golden Ratio Search |
Source reading |
Lecture discussion and problem-solving |
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14 |
Split into three Search |
Source reading |
Lecture discussion and problem-solving |
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15 |
Problem Solving |
Problem Solving |
problem-solving |
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16/17 |
Final exam |
Rewview the topics discussed in the lecture notes and sources |
Written exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
Yöneylem Araştırması, Hamdy A. Taha(Çevirenler : Ş. Alp Baray- Şakir Esnaf), Literatür Yayıncılık, 2000
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| Required Course Material(s) |
Yöneylem Araştırması, Ahmet Öztürk, Ekin Yayınevi,2009
Optimizasyon, Ayşen Apaydın,A.Ü.F.F. Dön. Ser. Yayınları, 1996
Rangarajan K. Sundaram (1996). A First Course in Optimization Theory, Cambridge University Pres.
Optimizasyon Teknikleri, Hasan Bal,Gazi Üniversitesi Yayınları, 1995
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
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Mid-term Exams (Written, Oral, etc.) |
1 |
80 |
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Homeworks/Projects/Others |
5 |
20 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
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Final Assessments
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100 |
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Rate of Final Assessments to Success
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60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
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1 |
Utilize computer systems and softwares |
2 |
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2 |
Apply the statistical analyze methods |
0 |
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3 |
Make statistical inference(estimation, hypothesis tests etc.) |
0 |
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4 |
Generate solutions for the problems in other disciplines by using statistical techniques |
0 |
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5 |
Discover the visual, database and web programming techniques and posses the ability of writing programme |
0 |
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6 |
Construct a model and analyze it by using statistical packages |
2 |
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7 |
Distinguish the difference between the statistical methods |
0 |
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8 |
Be aware of the interaction between the disciplines related to statistics |
4 |
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9 |
Make oral and visual presentation for the results of statistical methods |
1 |
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10 |
Have capability on effective and productive work in a group and individually |
2 |
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11 |
Develop scientific and ethical values in the fields of statistics-and scientific data collection |
1 |
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12 |
Explain the essence fundamentals and concepts in the field of Probability, Statistics and Mathematics |
4 |
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13 |
Emphasize the importance of Statistics in life |
1 |
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14 |
Define basic principles and concepts in the field of Law and Economics |
0 |
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15 |
Produce numeric and statistical solutions in order to overcome the problems |
4 |
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16 |
Construct the model, solve and interpret the results by using mathematical and statistical tehniques for the problems that include random events |
5 |
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17 |
Use proper methods and techniques to gather and/or to arrange the data |
0 |
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18 |
Professional development in accordance with their interests and abilities, as well as the scientific, cultural, artistic and social fields, constantly improve themselves by identifying training needs |
0 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
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Class Time (Exam weeks are excluded) |
14 |
3 |
42 |
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Out of Class Study (Preliminary Work, Practice) |
14 |
3 |
42 |
| Assesment Related Works |
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Homeworks, Projects, Others |
5 |
3 |
15 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
10 |
10 |
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Final Exam |
1 |
15 |
15 |
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Total Workload: | 124 |
| Total Workload / 25 (h): | 4.96 |
| ECTS Credit: | 5 |
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