GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
DYNAMICAL SYSTEMS I/MAT3031
Course Title: DYNAMICAL SYSTEMS I
Credits 3 ECTS 3
Course Semester 5 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 be able to create direction field and phase diagrams
To be able to examine the non-linear differential equations qualitatively
To be able to analyze the solution of differential equations by means of graphs
 -- MODE OF DELIVERY
   The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Introduction of various models
2. Week  Singular solutions of differential Equations
3. Week  Existence and uniqueness of differential equations
4. Week  Existence and uniqueness of differential equations Systems
5. Week  Qualitative Methods; Direction Fields, Phase Diagrams
6. Week  Autonomous Systems
7. Week  Critical Points,Types of Critical Points
8. Week  Midterm
9. Week  Types of Critical Points and graphical representations
10. Week  Stability of Linear or Nonlinear Differential equation Systems
11. Week  Asymptotic Stability
12. Week  Matlab ta Basit Komutların tanıtımı
13. Week  Drawning of Direction Field of Various Differential Equations on Computer
14. Week  Drawning of Phase diagrams of Various Differential Equations on Computer
15. Week  Presentation of Students' Projects
16. Week  Presentation of Students' Projects
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
20
 Assignment
3
10
 Application
0
0
 Projects
1
10
 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
0
 Searching in Internet and Library
6
1
6
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
10
1
10
 Presentation
2
1
2
 Midterm Exam and Preperation for Midterm Exam
7
1
7
 Final Exam and Preperation for Final Exam
10
1
10
 Other (should be emphasized)
8
1
8
 TOTAL WORKLOAD: 
85
 TOTAL WORKLOAD / 25: 
3.4
 Course Credit (ECTS): 
3
 -- 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. Meryem KAYA , Assoc. Prof. Dr. Ülkü Dinlemez)
 -- WEB SITE(S) OF LECTURER(S)
   ( http://websitem.gazi.edu.tr/site/meryemk)
 -- EMAIL(S) OF LECTURER(S)
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