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 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
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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