Eskisehir Technical University Info Package Eskisehir Technical University Info Package
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About the Program Educational Objectives Key Learning Outcomes Course Structure Diagram with Credits Field Qualifications Matrix of Course& Program Qualifications Matrix of Program Outcomes&Field Qualifications
  • Faculty of Science
  • Department of Mathematics
  • Course Structure Diagram with Credits
  • Real Analysis I
  • Description
  • Description
  • Learning Outcomes
  • Course's Contribution to Prog.
  • Learning Outcomes & Program Qualifications

Course Introduction Information

Code - Course Title MAT403 - Real Analysis I
Course Type Required Courses
Language of Instruction Türkçe
Laboratory + Practice 3+0
ECTS 5.0
Course Instructor(s) DOÇENT DOKTOR ADEM ERSİN ÜREYEN
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 None
Required or Recommended Resources Balcı, Mustafa. Reel Analiz
Recommended Reading List Burk, F. (1998) Lebesgue Measure and Integration, John Wiley and Sons
Assessment methods and criteria Written Exam
Work Placement N/A
Sustainability Development Goals

Content

Weeks Topics
Week - 1 Foundations
Week - 2 Countable sets
Week - 3 Uncountable sets
Week - 4 Function sequences and series. Uniform convergence
Week - 5 Applications
Week - 6 General measurement theory. Sigma algebras. Borel algebra
Week - 7 Inner measurement and outer measurement
Week - 8 Inner measurement in the sense of Lebesgue
Week - 9 Outer measurement in the sense of Lebesgue
Week - 10 Applications
Week - 11 Simple functions
Week - 12 Measurable functions
Week - 13 Deriving measurable functions from given measurable functions
Week - 14 Arithmetic of measurable functions

Learning Activities and Teaching Methods

  • Teaching Methods
  • Lecture
  • Question & Answer
  • Observation
  • Field Trip
  • Team/Group Work
  • Demonstration
  • Experiment
  • Case Study
  • Brain Storming
  • Report Preparation and/or Presentation
  • Proje Design/Management
  • Role Playing/Dramatization
  • Competences
  • Productive
  • True to core values
  • Follow ethical and moral rules
  • Civic awareness
  • Effective use of Turkish
  • Environmental awareness

Assessment Methods

Assessment Method and Passing Requirements
Quamtity Percentage (%)
1.Midterm Exam 1 30
2.Midterm Exam 1 30
Final Exam 1 40
Toplam (%) 100
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