GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
LYAPUNOV TYPE INEQUALITIES I/5011305
Course Title: LYAPUNOV TYPE INEQUALITIES I
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 define a Lyapunov-type inequality.
To use Lyapunov’s inequalities in linear and non-linear problems.
To use Lyapunov’s inequalities in eigenvalue problems.
Lyapunov’s inequalities in n-dimensions.
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Fundamental Definitions and Theorems
2. Week  Classical Lyapunov’s inequalities
3. Week  Quasilinear Problems
4. Week  Eigenvalue problems
5. Week  Nehari-Calogero-Cohn Inequality
6. Week  Calogero’s and Cohn’s Proofs
7. Week  Nehari’s proof for Second-Order Problems
8. Week  The Inequality for p-Laplacian problems
9. Week  Optimality of the bound
10. Week  Bargmann-type Bounds
11. Week  Comparison of Inequalities
12. Week  Lyapunov’s inequalities for Resonant Systems
13. Week  Lyapunov-type inequalities in dimensions
14. Week  Lyapunov –type inequalities and Orlicz Spaces
15. Week  
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
40
 Assignment
0
0
 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
12
4
48
 Searching in Internet and Library
11
3
33
 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
12
12
 Other (should be emphasized)
12
3
36
 TOTAL WORKLOAD: 
183
 TOTAL WORKLOAD / 25: 
7.32
 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. Dr. Mustafa Fahri AKTAŞ)
 -- WEB SITE(S) OF LECTURER(S)
   (http://websitem.gazi.edu.tr/site/mfahri/akademik)
 -- EMAIL(S) OF LECTURER(S)
   (mfahri@gazi.edu.tr)