|Course Title||Code||Semester||L+P Hour||Credits||ECTS|
|Linear Programming *||MT 469||7||3||3||5|
|Prerequisites and co-requisites|
|Recommended Optional Programme Components||None|
|Language of Instruction||Turkish|
|Course Level||First Cycle Programmes (Bachelor's Degree)|
|Course Coordinator||Dr. Lec. Uyesi Zeynep ÖZKURT|
This course aims to introduce basic ideas on linear programming problems and to solve this problems with different methods
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's Contribution To Program|
|No||Program Learning Outcomes||Contribution|
Is able to prove Mathematical facts encountered in secondary school.
Recognizes the importance of basic notions in Algebra, Analysis and Topology
Develops maturity of mathematical reasoning and writes and develops mathematical proofs.
Is able to express basic theories of mathematics properly and correctly both written and verbally
Recognizes the relationship between different areas of Mathematics and ties between Mathematics and other disciplines.
Expresses clearly the relationship between objects while constructing a model
Draws mathematical models such as formulas, graphs and tables and explains them
Is able to mathematically reorganize, analyze and model problems encountered.
Knows at least one computer programming language
Uses effective scientific methods and appropriate technologies to solve problems
Has sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians
In addition to professional skills, the student improves his/her skills in other areas of his/her choice such as in scientific, cultural, artistic and social fields
Knows programming techniques and is able to write a computer program
Is able to do mathematics both individually and in a group.
|1||Hyperplanes||Required readings and solving problems|
|2||Convex Sets||Required readings and solving problems|
|3||The Linear programming Problem||Required readings and solving problems|
|4||Geometric solutions||Required readings and solving problems|
|5||Analytic solutions||Required readings and solving problems|
|6||The Simplex Method||Required readings and solving problems|
|7||The Simplex Method||Required readings and solving problems|
|9||Artifical variables||Required readings and solving problems|
|10||Two-Phase Method||Required readings and solving problems|
|11||Big M method||Required readings and solving problems|
|12||Linear Transportation method||Required readings and solving problems|
|13||Classical methods||Required readings and solving problems|
|14||Optimallite test||Required readings and solving problems|
|Recommended or Required Reading|
|Textbook||Elemantary Linear programming with applications, Bernard Kolman, Robert E. Beck Academik Press|