Eskisehir Technical University Info Package Eskisehir Technical University Info Package
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General Information Programs
  • Institute of Graduate Programmes
  • Department of Mathematics
  • Master of Science (MS) Degree
  • Course Structure Diagram with Credits
  • Linear Programming
  • Description
  • Description
  • Learning Outcomes
  • Course's Contribution to Prog.
  • Learning Outcomes & Program Qualifications
  • ECTS Credit Load

Course Introduction Information
Code - Course Title MAT556 - Linear Programming
Course Type Elective Courses
Language of Instruction Türkçe
Laboratory + Practice 3+0
ECTS 7.5
Course Instructor(s) PROFESÖR DOKTOR HANDAN AKYAR
Mode of Delivery The mode of delivery of this course is Face to face
Prerequisites There is no prerequisite or co-requisite for this course
Courses Recomended
Required or Recommended Resources G.B. Dantzig, "Linear Programming", Springer, 1997.A. Antoniou, W. Lu, "Practical Optimization: Algorithms and Engineering Applications", Springer, 2007.
Recommended Reading List K.G. Murty, "Linear Programming", Willey, 1983.
Assessment methods and criteria Written exam
Work Placement -
Sustainability Development Goals

Content

Weeks Topics
Week - 1 Standard form of linear programming problem
Week - 2 Karush-Kuhn-Tucker optimality conditions
Week - 3 Geometry of an linear programming problem
Week - 4 Convex hulls
Week - 5 Polytopes
Week - 6 Generators of a polytope
Week - 7 Facets, edges and vertices of polytopes
Week - 8 Finding a vertex of a polyope
Week - 9 Finding a vertex minimizer
Week - 10 Basic and nonbasic variables, Simplex algorithm
Week - 11 Create a Simplex table
Week - 12 Primal and dual solutions
Week - 13 Interior Point Methods
Week - 14 Barrier method

Learning Activities and Teaching Methods

  • Teaching Methods
  • Lecture
  • Discussion
  • Question & Answer
  • Demonstration
  • Drill - Practise
  • Case Study
  • Problem Solving
  • Competences
  • Productive
  • True to core values
  • Rational
  • Questoning
  • Follow ethical and moral rules
  • Effective use of Turkish
  • Environmental awareness
  • Work in teams
  • Use time effectively
  • Abstract analysis and synthesis
  • Problem solving
  • Concern for quality
  • To work autonomously
  • Elementary computing skills
  • Decision making
  • To work in interdisciplinary projects
  • To work in international projects

Assessment Methods

Assessment Method and Passing Requirements
Quamtity Percentage (%)
1.Midterm Exam 1 40
Final Exam 1 60
Toplam (%) 100
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