GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
DIFFERENTIAL EQUATIONS II/MAT2006
Course Title: DIFFERENTIAL EQUATIONS II
Credits 4 ECTS 6
Course Semester 4 Type of The Course Compulsory
COURSE INFORMATION
 -- (CATALOG CONTENT)
 -- (TEXTBOOK)
 -- (SUPPLEMENTARY TEXTBOOK)
 -- (PREREQUISITES AND CO-REQUISITES)
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- COURSE OBJECTIVES
 -- COURSE LEARNING OUTCOMES
Learning the basic concepts of ODEs
Select the appropriate method to solve differential equations of the constant and variables coefficients
Learning the Laplace transform and using the Laplace transforms to solve non homegeneous differential equations.
Use power series to solve ODEs
Solve the systems of differential equations.

 -- MODE OF DELIVERY
  he mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Second order differential equations with variables and constant coefficient. the concept of ordinary and singular points.
2. Week  The series solutions, the solution near the ordinary points.
3. Week  The solution near the regular singular points, Frobenius Methods
4. Week  Frobenius Methods
5. Week  The definition of Laplace transform and the existence of its.
6. Week  Laplace transform and its properties.
7. Week  Invers Laplace transform and its properties
8. Week   The application of Laplace transforms for the differential equations and the system of differential equations. And Mid-Term Exam
9. Week  The basic theory of the system of homegeneous differential equations.
10. Week  The solution for the system of homegeneous differential equations with constant coefficients
11. Week  The solution for the system of differential equations with real and distict eigenvalues.
12. Week  The solution for the system of differential equations with multiple eigenvalues.
13. Week  The solution for the system of differential equations with the complex eigen values.
14. Week  The solution for the nonhomegeneous system of differential equations
15. Week  Final Exam
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
30
 Assignment
1
10
 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
14
2
28
 Reading Tasks
6
7
42
 Searching in Internet and Library
5
4
20
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
0
 Presentation
0
 Midterm Exam and Preperation for Midterm Exam
4
2
8
 Final Exam and Preperation for Final Exam
3
4
12
 Other (should be emphasized)
0
 TOTAL WORKLOAD: 
152
 TOTAL WORKLOAD / 25: 
6.08
 Course Credit (ECTS): 
6
 -- 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. Adil Mısır , Prof. Meryem Kaya)
 -- WEB SITE(S) OF LECTURER(S)
   (http://www.websitem.gazi.edu.tr/site/adilm , http://www.websitem.gazi.edu.tr/site/meryemk)
 -- EMAIL(S) OF LECTURER(S)
   (adilm@gazi.edu.tr)