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| Course Description |
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| Course Name |
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Mathematical Programming |
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| Course Code |
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ENM319 |
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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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3 |
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| Course Semester |
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Fall (16 Weeks) |
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| ECTS |
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5 |
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| Name of Lecturer(s) |
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Assoc.Prof.Dr. ALİ KOKANGÜL
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| Learning Outcomes of the Course |
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Application of non-linear programming techniques to frequently encountered in practice and gain the ability to analyze
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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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Gain the ability to apply mathematical programming techniques to problems in practice. |
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| Course Contents |
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Non-linear programming, single and multi-variable unconstrained optimization problems, the Karush-Kuhn-Tucker (KKT) conditions for constrained optimizastion problems, convex and quadratic programming, optimization applications. |
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| Language of Instruction |
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Turkish |
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| Work Place |
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Department Classroom |
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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 |
Construction mathematical model |
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2 |
Single-variable unconstrained optimization problems, |
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3 |
Single-variable constrained optimization problems, |
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4 |
Multi-variable unconstrained optimization problems, |
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5 |
Multi-variable constrained optimization problems |
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6 |
Karush-Kuhn-Tucker (KKT) conditions for constrained optimizastion |
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7 |
Midterm exam |
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8 |
Karush-Kuhn-Tucker (KKT) conditions for constrained optimizastion |
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9 |
Quadratic programming |
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10 |
Quadratic programming |
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11 |
Convex Programming |
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12 |
Convex Programming |
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13 |
Graphical method |
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14 |
Computer packages programs for optimization |
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15 |
Application of optimization models |
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16/17 |
Final exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Hillier, F.S.,, Lieberman, G.J., 1990, Inroduction to Operational Research,Fifth Edition.
Winston, W.L.,2004, Operations Research Applications and Algorithms,Fourth Edition
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| Required Course Material(s) | |
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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 |
50 |
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Homeworks/Projects/Others |
1 |
50 |
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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 |
Can collect and analyze data required for industrial engineering problems ,develops and evaluates alternative solutions. |
5 |
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2 |
Has sufficient background on topics related to mathematics, physical sciences and industrial engineering. |
4 |
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3 |
Gains ability to use the acquired theoretical knowledge on basic sciences and industrial engineering for describing, formulating and solving an industrial engineering problem, and to choose appropriate analytical and modeling methods. |
5 |
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4 |
Gains ability to analyze a service and/or manufacturing system or a process and describes, formulates and solves its problems . |
3 |
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5 |
Gains ability to choose and apply methods and tools for industrial engineering applications. |
3 |
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6 |
Can access information and to search/use databases and other sources for information gathering. |
3 |
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7 |
Works efficiently and takes responsibility both individually and as a member of a multi-disciplinary team. |
2 |
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8 |
Appreciates life time learning; follows scientific and technological developments and renews himself/herself continuously. |
4 |
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9 |
Can use computer software in industrial engineering along with information and communication technologies. |
4 |
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10 |
Can use oral and written communication efficiently. |
2 |
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11 |
Has a conscious understanding of professional and ethical responsibilities. |
3 |
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12 |
Uses English skills to follow developments in industrial engineering and to communicate with people in his/her profession. |
3 |
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13 |
Has a necessary consciousness on issues related to job safety and health, legal aspects of environment and engineering practice. |
3 |
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14 |
Becomes competent on matters related to project management, entrepreneurship, innovation and has knowledge about current matters in industrial engineering. |
3 |
| * 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 |
4 |
56 |
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Out of Class Study (Preliminary Work, Practice) |
4 |
4 |
16 |
| Assesment Related Works |
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Homeworks, Projects, Others |
1 |
6 |
6 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
15 |
15 |
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Final Exam |
1 |
20 |
20 |
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Total Workload: | 113 |
| Total Workload / 25 (h): | 4.52 |
| ECTS Credit: | 5 |
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