GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
DIFFERENTIAL EQUATIONS I/MAT2003
Course Title: DIFFERENTIAL EQUATIONS I
Credits 4 ECTS 6
Semester 3 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Assist.Prof.Dr. KADİR KANAT
 -- WEB SITE(S) OF LECTURER(S)
  http://www.websitem.gazi.edu.tr/site/kadirkanat
 -- EMAIL(S) OF LECTURER(S)
  kadirkanat@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Recognize and classify differential equations ,
Solve first order differential equations ,
Makes some physical, chemical and general applications ,
Solve higher order 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  Fundamentals of differential equations and their classification.
2. Week  Geometric meaning of the differential equations
3. Week  Separable and homogeneous first order equations and their solutions.
4. Week  Exact differential equations.
5. Week  Integrating factors.
6. Week  Linear, Bernoulli and Riccati differential equations.
7. Week  High-order differential equations.
8. Week  Midterm exam
9. Week  The method of undetermined coefficients.
10. Week  Parameter exchange method.
11. Week  Reduction of order method
12. Week  Cauchy-Euler equations
13. Week  Some physical, chemical and general applications.
14. Week  Some non-linear equations.
15. Week  Some examples and solutions
16. Week  Final exam
 -- RECOMMENDED OR REQUIRED READING
  S. L. Ross, (1974), Differential Equations, John Wiley, New York Differensiyel Denklemler ve Sınır Değer Problemleri, Edwards&Penney, Çeviri Editörü
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture
 -- WORK PLACEMENT(S)
  Not Applicable
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
40
 Assignment
0
0
 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
2
28
 Reading
0
 Searching in Internet and Library
0
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
7
4
28
 Final and Studying for Final
8
5
40
 Other
0
 TOTAL WORKLOAD: 
138
 TOTAL WORKLOAD / 25: 
5.52
 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 train individuals who are equipped with enough mathematicsX
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
10The skill to have professional and ethical responsibilityX