GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
DYNAMICAL SYSTEMS II/MAT- 332
Course Title: DYNAMICAL SYSTEMS II
Credits 3 ECTS 5
Semester 6 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Assoc. Prof.Meryem KAYA , Assist.Prof. Ülkü Dinlemez
 -- WEB SITE(S) OF LECTURER(S)
  http://websitem.gazi.edu.tr/site/meryemk,http://websitem.gazi.edu.tr/site/ulku
 -- EMAIL(S) OF LECTURER(S)
  meryemk@gazi.edu.tr,ulku@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Be learning about the qualitative analysis of linear and nonlinear theory








 -- MODE OF DELIVERY
   The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
  to be taken before Mat-203 Differantial Equations I and Mat-204 Differantial Equations II
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  There is no recommended optional programme component for this course.
 --COURSE CONTENT
1. Week  Existence and Uniqueness linear differential eqation systems
2. Week  Critical point for linear differential eqation systems and stability
3. Week  Critical point for non linear differential eqation systems and the mothod of Lyapunov
4. Week  Stability
5. Week  Periodic solutions
6. Week  Bifurcation
7. Week  Caos in dynamical systems
8. Week  Mid term exam
9. Week  Attractors
10. Week  Lorenz Equations
11. Week  Nonlinear mechanical systems
12. Week  Ecolocical models
13. Week  Van der Pol Equations
14. Week  Phase Portrait
15. Week  Continuity of Phase Portrait
16. Week  Final exam
 -- RECOMMENDED OR REQUIRED READING
  "1.Edwards C. Henry,Penney David E. Differential Equations and and Boundary value problems computer and modelling, Prentice Hall,2000. 2.Boyce E.W., Dipirima R.C. Elementary Differential equations and Boundary value problems, John Wiley and Sons, 1986. "
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Demonstration, Drill - Practise
 -- WORK PLACEMENT(S)
  Not Applicable
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
25
 Assignment
2
5
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
1
10
 Contribution of In-term Studies to Overall Grade  
40
 Contribution of Final Examination to Overall Grade  
60
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
14
3
42
 Practising Hours of Course Per Week
0
0
0
 Reading
4
2
8
 Searching in Internet and Library
2
8
16
 Designing and Applying Materials
0
0
0
 Preparing Reports
0
0
0
 Preparing Presentation
0
0
0
 Presentation
1
6
6
 Mid-Term and Studying for Mid-Term
1
23
23
 Final and Studying for Final
1
30
30
 Other
0
0
0
 TOTAL WORKLOAD: 
125
 TOTAL WORKLOAD / 25: 
5
 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