GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
REAL ANALYSIS I/MAT4007
Course Title: REAL ANALYSIS I
Credits 3 ECTS 5
Course Semester 7 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
learning the concepts of sigma algebras, measure and outer measure
explanation the concept of measurable sets and measurable functions
explanation and practicability the concept of integrable and Lebesgue integral
Establish a correlation between the Riemann and Lebesgue integrals
Makes the applications of the concept of Lebesgue integration
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Sequences of set, Lower and upper limit and convergence
2. Week  Algebras and sigma algebras of sets, and Borel algebra
3. Week  Measure and outher Measure
4. Week  Lebesque Measure
5. Week   Measurable sets,
6. Week   Measurable sets,
7. Week  Applications and Solvable of problems
8. Week  Mid-term exam
9. Week  Measurable functions
10. Week  Measurable functions
11. Week   Integral of simple functions
12. Week   Integral of positive functions
13. Week  Lebesgue integrable functions
14. Week  Lebesque and Riemann integrals.
15. Week  Fedback and Solutions of problems
16. Week  Final exam
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
20
 Assignment
3
20
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
40
 Percentage of Final Exam to Total Score  
60
 -- WORKLOAD
 Activity  Total Number of Weeks  Duration (weekly hour)  Total Period Work Load
 Weekly Theoretical Course Hours
14
3
42
 Weekly Tutorial Hours
0
 Reading Tasks
5
5
25
 Searching in Internet and Library
5
5
25
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
0
 Presentation
0
 Midterm Exam and Preperation for Midterm Exam
1
12
12
 Final Exam and Preperation for Final Exam
1
15
15
 Other (should be emphasized)
5
3
15
 TOTAL WORKLOAD: 
134
 TOTAL WORKLOAD / 25: 
5.36
 Course Credit (ECTS): 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1To train individuals who are contemporary, entrepreneur and have unique and aesthetic values, self-confidence and capable of independent decision-making.X
2To give good education in the program fields as algebra, geometry, applied mathematics, topology and analysis in order to be equipped with enough mathematics.X
3To teach mathematical thinking methods in order to improve the ability to express mathematics both orally and in writing.X
4To train individuals who are knowledgeable about the history of mathematics and the production of scientific knowledge and can follow developments in these disciplines.X
5To provide necessary equipments to take positions such areas as banking, finance, econometrics, and actuarial.X
6To acquire ability to solve problems encountered in real life by means of mathematical modeling using mathematical methods.X
7To provide ability to do necessary resource researches in the areas of mathematics and to use accessed information.X
8To give appropriate training in such areas as in computer programming and creating algorithms in order to take parts in developing IT sector.X
9To gain substructure to be able to study at graduate level.X
10To enable the student to gain the ability of relating mathematics with the other sciences.X
 -- NAME OF LECTURER(S)
   (Prof. Dr. Nurhayat İspir)
 -- WEB SITE(S) OF LECTURER(S)
   ( websitem.gazi.edu.tr/site/nispir)
 -- EMAIL(S) OF LECTURER(S)
   ( nispir@gazi.edu.tr , )