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Information
| Code | MT469 |
| Name | Linear Programming |
| Term | 2023-2024 Academic Year |
| Semester | 7. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. ZEYNEP ÖZKURT |
| Course Instructor |
Doç. Dr. ZEYNEP ÖZKURT
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
This course aims to introduce basic ideas on linear programming problems and to solve this problems with different methods
Course Content
Linear programming problem, Geometric solutions, Solutions with analytical approach, Simplex method, Artificial variables, two-stage method, Big M method, Linear transportation problems, Optimality tests
Course Precondition
none
Resources
Elemantary Linear programming with applications, Bernard Kolman, Robert E. Beck Academik Press
Notes
Elemantary Linear programming with applications, Bernard Kolman, Robert E. Beck Academik Press
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | is able modelling the Linear programming problems. |
| LO02 | evaluates geometric solutions |
| LO03 | determines optimal solutions with analytical method |
| LO04 | knows simplex method |
| LO05 | applies two phrase method |
| LO06 | is able modelling the Linear transportating problems. |
| LO07 | applies optimallite tests |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Comprehend the ability to prove the mathematical knowledge gained in secondary education on the basis of theoretical basis. | |
| PLO02 | Bilgi - Kuramsal, Olgusal | Understands importance of basic consepts of Algebra, Analaysis and Topology. | 2 |
| PLO03 | Yetkinlikler - Öğrenme Yetkinliği | Mathematical reasoning demonstrates the ability to develop and write mathematical proofs by gaining maturity. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Demonstrate the ability to express the basic theories of mathematics both correctly. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Understands the relationship between the different fields of mathematics and its relation to other disciplines. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Comprehends the ability to understand the relationships between the objects in the most understandable way while creating a model for any problem. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Comprehend and explain mathematical models such as formulas, graphs, tables and schema. | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Demonstrate the ability to mathematically rearrange, analyze, and model the problems they encounter. | 3 |
| PLO09 | Bilgi - Kuramsal, Olgusal | Comprehends at least one of the computer programming languages. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Demonstrate the ability to use scientific methods and appropriate technologies effectively in problem solving. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Understands sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians | |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | In addition to their professional development, they demonstrate their ability to continuously improve themselves by identifying their educational needs in scientific, cultural, artistic and social areas in line with their interests and abilities. | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Understands the programming techniques and shows the ability to do programming. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Demonstrates the ability to study mathematics both independently and as a group. | 3 |
| PLO15 | Bilgi - Kuramsal, Olgusal | Demonstrate an awareness of the universal and social impacts and legal consequences of mathematical applications in the field of study. | |
| PLO16 | Bilgi - Kuramsal, Olgusal | Demonstrate the ability to select, use and develop effectively for contemporary mathematical applications. | |
| PLO17 | Bilgi - Kuramsal, Olgusal | It has ability of lifelong learning awareness, access to information, monitoring developments in science and technology and self-renewal ability. | |
| PLO18 | Bilgi - Kuramsal, Olgusal | Gains the ability to use information technologies effectively for contemporary mathematical applications. | |
| PLO19 | Bilgi - Kuramsal, Olgusal | Gains the ability to design, conduct experiments, field work, data collection, analysis, archiving, text solving and / or interpretation according to mathematics fields. | 3 |
| PLO20 | Bilgi - Kuramsal, Olgusal | Gains the consciousness of prefesional ethics and responsibility. | 5 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Hyperplanes | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 2 | Convex Sets | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 3 | The Linear programming Problem | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 4 | Geometric solutions | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 5 | Analytic solutions | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 6 | The Simplex Method | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 7 | The Simplex Method1 | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Required readings and solving problems | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Artifical variables | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 10 | Two-Phase Method | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 11 | Big M method | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 12 | Linear Transportation method | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 13 | Classical methods | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 14 | Optimallite test | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 15 | Exercises | solving problems | Öğretim Yöntemleri: Soru-Cevap, Tartışma |
| 16 | Exercises2 | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 17 | Term Exams | Required readings and solving problems | Ölçme Yöntemleri: Yazılı Sınav |
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 | 12 | 12 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||