GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
DIFFERENTIAL EQUATIONS II/MAT- 204
Course Title: DIFFERENTIAL EQUATIONS II
Credits 4 ECTS 6
Semester 4 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Proffessor Adil MISIR, Associate Prof. Meryem Kaya
 -- WEB SITE(S) OF LECTURER(S)
   http://websitem.gazi.edu.tr/site/adilm/,websitem.gazi.edu.tr/site/meryemk
 -- EMAIL(S) OF LECTURER(S)
  tr,adilm@gazi.edu.tr,meryemk@gazi.edu
 -- LEARNING OUTCOMES OF THE COURSE UNIT
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
  The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
   There is no prerequisite or co-requisite for this course.
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
   There is no recommended optional programme component for this course.
 --COURSE CONTENT
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   Mid-Term Exam
9. Week  The application of Laplace transforms for the differential equations and the system of differential equations.
10. Week  The basic theory of the system of homegeneous differential equations.
11. Week  The solution for the system of homegeneous differential equations with constant coefficients.
12. Week  The solution for the system of differential equations with real and distict eigenvalues.
13. Week  The solution for the system of differential equations with multiple eigenvalues.
14. Week  The solution for the system of differential equations with the complex eigen values.
15. Week  The solution for the nonhomegeneous system of differential equations
16. Week   Final Exam
 -- RECOMMENDED OR REQUIRED READING
  1. Adil MISIR, Teori Teknik ve Uygulamalı Diferensiyel Denklemler,2016. 2. Boyce E. W.and DiPrima C.R.,Elementary Differential Equations and Boundary Value Problems, John Wiley & Sons, 2.Shepley L.Ross Differential E.1984
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
   Lecture,Drill - Practise
 -- WORK PLACEMENT(S)
  None
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
30
 Assignment
1
10
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 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
14
1
14
 Reading
6
7
42
 Searching in Internet and Library
5
5
25
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
1
12
12
 Final and Studying for Final
1
12
12
 Other
0
0
0
 TOTAL WORKLOAD: 
147
 TOTAL WORKLOAD / 25: 
5.88
 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