GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
DIFFERENTIAL EQUATIONS I/MAT2005
Course Title: DIFFERENTIAL EQUATIONS I
Credits 4 ECTS 6
Course Semester 3 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
​​To grow contemporary, entrepreneur, self-confident and independent decision-making ability, individuals with unique and aesthetic values
To be able to have enough mathematics in the program of algebra, geometry, applied mathematics, topology and analysis to give good education in bran
To comprehend mathematical thinking methods and transfer to this thinking by written and spoken.
To educate individuals who have knowledge about the historical and scientific knowledge of mathematics and who can follow the developments in this fie
Providing the necessary equipment to take positions in fields such as finance, econometrics, actuaries, education and banking.
To be able to solve the problems encountered in various disciplines and real life through mathematical modeling and mathematical modeling.
To be able to search the necessary resources in the areas where mathematics is used and to provide the ability to use the information obtained.
To provide necessary training in areas such as computer programming and algorithm formation in order to take place in the developing in this sector.
To gain the ability to do graduate work at the graduate level.
To gain the ability to relate to the fields of science outside mathematics.
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Fundamental of differential equations and classification of equations.
2. Week  Geometrical meanings of differential equations.
3. Week  First order separable and homogeneous equations and their solution procedures.
4. Week  Linear differential equations.
5. Week  Bernouilli and Riccati differential equations.
6. Week  Exact differential equations.
7. Week  Integrating Factors.
8. Week  Mid-Term Exam.
9. Week  Some applications of first order differential equations.
10. Week  First order nonlinear differential equations.
11. Week  Lagrange and Clairaut differential equations.
12. Week  Theory of higher order of linear differential equations.
13. Week  Higher order homogenous differential equations with constant coefficients.
14. Week  Higher order nonhomogenous linear differential equations with constant coefficients.
15. Week  Methods of undetermined coefficients, reduction of order and variation of parameters.
16. Week  Final Exam.
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
30
 Assignment
2
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
8
4
32
 Searching in Internet and Library
9
3
27
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
0
 Presentation
0
 Midterm Exam and Preperation for Midterm Exam
0
 Final Exam and Preperation for Final Exam
6
2
12
 Other (should be emphasized)
4
3
12
 TOTAL WORKLOAD: 
153
 TOTAL WORKLOAD / 25: 
6.12
 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 MISIR , Prof. Meryem KAYA)
 -- WEB SITE(S) OF LECTURER(S)
   (www.websitem.gazi.edu.tr/site/adilm , www.websitem.gazi.edu.tr/site/meryemk)
 -- EMAIL(S) OF LECTURER(S)
   (adilm@gazi.edu.tr , meryemk@gazi.edu.tr)