COURSE INFORMATON
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 Type
Course Coordinator Dr. Lec. Uyesi Zeynep ÖZKURT
Instructors
Dr. Öğr. ÜyesiZEYNEP ÖZKURT1. Öğretim Grup:A
Dr. Öğr. ÜyesiZEYNEP ÖZKURT2. Öğretim Grup:A
 
Assistants
Goals
This course aims to introduce basic ideas on linear programming problems and to solve this problems with different methods
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

Learning Outcomes
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Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Is able to prove Mathematical facts encountered in secondary school.
X
2
Recognizes the importance of basic notions in Algebra, Analysis and Topology
X
3
Develops maturity of mathematical reasoning and writes and develops mathematical proofs.
X
4
Is able to express basic theories of mathematics properly and correctly both written and verbally
X
5
Recognizes the relationship between different areas of Mathematics and ties between Mathematics and other disciplines.
X
6
Expresses clearly the relationship between objects while constructing a model
X
7
Draws mathematical models such as formulas, graphs and tables and explains them
X
8
Is able to mathematically reorganize, analyze and model problems encountered.
X
9
Knows at least one computer programming language
10
Uses effective scientific methods and appropriate technologies to solve problems
X
11
Has sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians
12
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
13
Knows programming techniques and is able to write a computer program
14
Is able to do mathematics both individually and in a group.
X

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
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
8 Midterm exam
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
15 Exercises solving problems
16-17 Final

Recommended or Required Reading
TextbookElemantary Linear programming with applications, Bernard Kolman, Robert E. Beck Academik Press
Additional Resources