TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| INDUSTRIAL ENGINEERING PR. | |
| Code | ENM301 |
| Name | Mathematical Programming |
| Term | 2020-2021 Academic Year |
| Semester | 5. Semester |
| Duration (T+A) | 2-1 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 2.5 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Uzaktan Öğretim |
| Catalog Information Coordinator | Prof. Dr. MELİK KOYUNCU |
| Course Instructor |
Prof. Dr. MELİK KOYUNCU
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To develop the operations researck skills and knowledge to delve into the mathematical modelling techniques
Course Content
To review the mathematical modelling techniques, Introduction to integer programming , The application area of integer programming, Solution methodology of integer programming ( branch and boun algorithm , additive algortihm) , Dynamic programming and its applications , The solution methodology of Dynamic progrramming , Introduction to Network models, The shortest path problem , Maximum flow problem and its applications, Minumum spanning tree problem and its applications, The network models related algorithm , Solving the some manufacturing problems by netwok models , Multiobjective optimization techniques, Introduction to goal programming , The solution methodology of goal programming
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Can collect and analyze data required for industrial engineering problems ,develops and evaluates alternative solutions. |
| LO02 | Has sufficient background on topics related to mathematics, physical sciences and industrial engineering |
| LO03 | 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. |
| LO04 | Gains ability to analyze a service and/or manufacturing system or a process and describes, formulates and solves its problems . |
| LO05 | Gains ability to choose and apply methods and tools for industrial engineering applications |
| LO06 | Can access information and to search/use databases and other sources for information gathering. |
| LO07 | Works efficiently and takes responsibility both individually and as a member of a multi-disciplinary team. |
| LO08 | Appreciates life time learning; follows scientific and technological developments and renews himself/herself continuously. |
| LO09 | Can use computer software in industrial engineering along with information and communication technologies. |
| LO10 | Can use oral and written communication efficiently. |
| LO11 | Has a conscious understanding of professional and ethical responsibilities. |
| LO12 | Uses English skills to follow developments in industrial engineering and to communicate with people in his/her profession. |
| LO13 | Has a necessary consciousness on issues related to job safety and health, legal aspects of environment and engineering practice. |
| LO14 | Becomes competent on matters related to project management, entrepreneurship, innovation and has knowledge about current matters in industrial engineering |
| LO15 | Becomes competent on matters related to project management, entrepreneurship, innovation and has knowledge about current matters in industrial engineering |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Adequate knowledge in mathematics, science and related engineering discipline; ability to use theoretical and practical knowledge in these areas in complex engineering problems. | 3 |
| PLO02 | - | An ability to identify, formulate, and solve complex industrial engineering problems; the ability to select and apply appropriate analysis and modeling methods for this purpose. | 5 |
| PLO03 | - | An ability to design a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions; the ability to apply modern design methods for this purpose. | 2 |
| PLO04 | - | Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications; ability to use information technologies effectively. | 5 |
| PLO05 | - | Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or discipline-specific research topics. | 3 |
| PLO06 | - | Ability to work effectively in disciplinary and multidisciplinary teams; self-study skills. | 5 |
| PLO07 | - | Ability to communicate effectively in Turkish presentation and in writing; knowledge of at least one foreign language; Ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give clear and understandable instruction and receiving skills. | 5 |
| PLO08 | - | Awareness of the necessity of lifelong learning; the ability to access information, follow developments in science and technology, and constantly renew oneself. | 5 |
| PLO09 | - | To act in accordance with ethical principles, professional and ethical responsibility awareness; information about standards used in engineering applications. | 5 |
| PLO10 | - | Information on business practices such as project management, risk management and change management; awareness about entrepreneurship and innovation; information on sustainable development. | 5 |
| PLO11 | - | Information about the effects of engineering applications on health, environment and safety in universal and social dimensions and the problems reflected in the engineering field of the age; awareness of the legal consequences of engineering solutions. | 5 |
| PLO12 | - | Ability to make use of the power of effective communication in professional life, to interpret the developments correctly and to make decisions. | 5 |
| PLO13 | - | Ability to design, develop, implement and improve integrated systems including machinery, time, information and money. | 5 |
| PLO14 | - | Ability to design, develop, implement and improve complex product, process, business, system design by applying modern design methods under realistic conditions and constraints such as cost, environment, sustainability, productivity, ethics, health, safety and political issues. | 5 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | To review the mathematical modelling techniques | Standart lecture tools (Teaching on board and application) | |
| 2 | Introduction to integer programming | Standart lecture tools (Teaching on board and application) | |
| 3 | The application areas of integer programming | Standart lecture tools (Teaching on board and application) | |
| 4 | Solution methodology of integer programming ( branch and bound algorithm , additive algortihm) | Standart lecture tools (Teaching on board and application) | |
| 5 | Dynamic programming and its applications | Standart lecture tools (Teaching on board and application) | |
| 6 | The solution methodology of Dynamic programming | Standart lecture tools (Teaching on board and application) | |
| 7 | Midterm Exam | Classical Midternl Exam | |
| 8 | Mid-Term Exam | Standart lecture tools (Teaching on board and application) | |
| 9 | The shortest path problem | Standart lecture tools (Teaching on board and application) | |
| 10 | Maximum flow problem and its applications | Standart lecture tools (Teaching on board and application) | |
| 11 | Minumum spanning tree problem and its applications | Standart lecture tools (Teaching on board and application) | |
| 12 | The network models related algorithm | Standart lecture tools (Teaching on board and application) | |
| 13 | Solving the some manufacturing problems by netwok models | Standart lecture tools (Teaching on board and application) | |
| 14 | Multiobjective optimization techniques | Standart lecture tools (Teaching on board and application) | |
| 15 | Introduction to goal programming | Standart lecture tools (Teaching on board and application) | |
| 16 | Term Exams | Classical Final Exam | |
| 17 | Term Exams | Classical Final Exam |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 8 | 8 |
| Total Workload (Hour) | 100 | ||
| Total Workload / 25 (h) | 4,00 | ||
| ECTS | 4 ECTS | ||