GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
REAL ANALYSIS/5551305
Course Title: REAL ANALYSIS
Credits 3 ECTS 7.5
Course Semester 1 Type of The Course Elective
COURSE INFORMATION
 -- (CATALOG CONTENT)
 -- (TEXTBOOK)
 -- (SUPPLEMENTARY TEXTBOOK)
 -- (PREREQUISITES AND CO-REQUISITES)
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- COURSE OBJECTIVES
 -- COURSE LEARNING OUTCOMES
To know the fundamental concepts of measure.
To know the fundamental concepts of integral.
To know the main theoremss of Real analysis.
To know the fundamental concepts of integrable functions spaces.
Teaching the main concepts of Real analysis and having ability to apply to other branches of analysis.
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Semirings, algebras of sets ve measures
2. Week   Outer measure of a set, Measurable sets,the outher measure generated by measure
3. Week  Measurable functions,simple and step functions
4. Week  Lebesque measure
5. Week  Convergence in measure
6. Week  Upper functions and integral
7. Week  Integrable functions
8. Week  Some theorems for integrable functions
9. Week  Lebesque integral for bounded and unbounded functions, comprassion with the Riemann integrals. .
10. Week  Lp spaces
11. Week  Lp spaces
12. Week  Signed measure
13. Week  Signed measure
14. Week  Comparing measures and Radon-Nikodtm Theorem
15. Week  
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
40
 Assignment
1
10
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
50
 Percentage of Final Exam to Total Score  
50
 -- WORKLOAD
 Activity  Total Number of Weeks  Duration (weekly hour)  Total Period Work Load
 Weekly Theoretical Course Hours
14
3
42
 Weekly Tutorial Hours
0
0
0
 Reading Tasks
10
5
50
 Searching in Internet and Library
10
6
60
 Material Design and Implementation
0
0
0
 Report Preparing
0
0
0
 Preparing a Presentation
0
0
0
 Presentation
0
0
0
 Midterm Exam and Preperation for Midterm Exam
1
10
10
 Final Exam and Preperation for Final Exam
1
20
20
 Other (should be emphasized)
2
5
10
 TOTAL WORKLOAD: 
192
 TOTAL WORKLOAD / 25: 
7.68
 Course Credit (ECTS): 
7.5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1X
2X
3X
4X
5X
6X
7X
8X
9X
10X
11X
12X
 -- NAME OF LECTURER(S)
   (Assoc.Prof.Esma YILDIZ OZKAN)
 -- WEB SITE(S) OF LECTURER(S)
   (www.websitem.gazi.edu.tr/esmayildiz)
 -- EMAIL(S) OF LECTURER(S)
   (esmayildiz@gazi.edu.tr)