Eskisehir Technical University Info Package Eskisehir Technical University Info Package
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General Information Programs
  • Institute of Graduate Programmes
  • Department of Mathematics
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  • Lie Algebras
  • Description
  • Description
  • Learning Outcomes
  • Course's Contribution to Prog.
  • Learning Outcomes & Program Qualifications
  • ECTS Credit Load

Course Introduction Information

Code - Course Title MAT520 - Lie Algebras
Course Type Elective Courses
Language of Instruction Türkçe
Laboratory + Practice 3+0
ECTS 7.5
Course Instructor(s) DOÇENT DOKTOR ŞİRİN AKTAY
Mode of Delivery
Prerequisites
Courses Recomended
Required or Recommended Resources
Recommended Reading List
Assessment methods and criteria Written exam
Work Placement
Sustainability Development Goals

Content

Weeks Topics
Week - 1 The notion of algebra
Week - 2 Lie algebras
Week - 3 Lie algebras of classical groups
Week - 4 Subalgebras and ideals
Week - 5 Solvability
Week - 6 Solvability
Week - 7 Simplicity and semi-simplicity
Week - 8 Cartan-criteria
Week - 9 Cartan subalgebras
Week - 10 Decomposition theorems
Week - 11 Root systems
Week - 12 Root systems (cont.)
Week - 13 Dynkin diagrams
Week - 14 Classification of semi-simple Lie algebras

Learning Activities and Teaching Methods

  • Teaching Methods
  • Lecture
  • Discussion
  • Question & Answer
  • Drill - Practise
  • Problem Solving
  • Report Preparation and/or Presentation
  • Competences
  • Productive
  • True to core values
  • Creative
  • Abstract analysis and synthesis
  • Problem solving
  • Information Management

Assessment Methods

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