Eskisehir Technical University Info Package Eskisehir Technical University Info Package
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  • Department of Mathematics
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  • Vector Optimization I
  • Description
  • Description
  • Learning Outcomes
  • Course's Contribution to Prog.
  • Learning Outcomes & Program Qualifications
  • ECTS Credit Load

Course Introduction Information
Code - Course Title MAT619 - Vector Optimization I
Course Type Elective Courses
Language of Instruction Türkçe
Laboratory + Practice 3+0
ECTS 7.5
Course Instructor(s) DOÇENT DOKTOR İLKNUR ATASEVER GÜVENÇ
Mode of Delivery The mode of delivery of this course is only Face to face
Prerequisites There is no prerequisite or co-requisite for this course.
Courses Recomended No recommendation
Required or Recommended Resources J. Jahn, Vector Optimization, Springer, 2000.
Recommended Reading List J. Jahn, Vector Optimization, Springer, 2000.
Assessment methods and criteria Classical exam
Work Placement N/A
Sustainability Development Goals

Content

Weeks Topics
Week - 1 Partially ordered linear spaces
Week - 2 Convex sets
Week - 3 Convex maps
Week - 4 Differentiability of convex maps
Week - 5 Zorn's Lemma and Hahn-Banach's Theorem
Week - 6 Separation theorems
Week - 7 Lyusternic's Theorem
Week - 8 Introduction to vector optimization and basic optimality notations
Week - 9 Scalarization I
Week - 10 Scalarization II
Week - 11 Existance theorems I
Week - 12 Existance theorems II
Week - 13 Generalized Lagrange rule I
Week - 14 Generalized Lagrange Rule II

Learning Activities and Teaching Methods

  • Teaching Methods
  • Lecture
  • Discussion
  • Question & Answer
  • Drill - Practise
  • Problem Solving
  • Brain Storming
  • Competences
  • Productive
  • Rational
  • Questoning
  • Entrepreneur
  • Creative
  • Follow ethical and moral rules
  • Effective use of Turkish
  • Eleştirel düşünebilme
  • Abstract analysis and synthesis
  • Problem solving
  • Information Management
  • To work autonomously
  • Organization and planning
  • 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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