GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
DIFFERANTIAL EQUATIONS I/MAT241
Course Title: DIFFERANTIAL EQUATIONS I
Credits 4 ECTS 6
Semester 3 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Assoc. Prof. Dr. Mustafa Fahri AKTAŞ
 -- WEB SITE(S) OF LECTURER(S)
  http://websitem.gazi.edu.tr/site/mfahri
 -- EMAIL(S) OF LECTURER(S)
  mfahri@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Learning the solution techniques of differential equations
Learning the investigate the existence and uniqueness of first order differential equations
Learning the implementation of the first order differential equations in physics
Learning the solution techniques of high-order linear 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  Differential Equation, Order and Degree, Solutions and the Varieties, Formation of Differential Equations
2. Week  Mathematical Models, Differential equations with variables separable
3. Week  Homogeneous Differential Equations, Exact Differential Equations
4. Week  The method of Integration Factors, Linear Differential Equations
5. Week  Bernoulli’s Differential Equation, Riccati Differential Equation, Change of variables in the solution with
6. Week  Existence and uniqueness theorems
7. Week  Orthogonal and Isogonal Trajectories, First-order differential equations with applications in physics
8. Week  Recognition of the high degree of first-order differential equations and solution techniques
9. Week  Midterm exam
10. Week  Equations Solvable for y, Equations Solvable for x
11. Week  Lagrange and Clairaunt’s Equations, Singular Solutions, Envelopes
12. Week  Linear Equations with Constant Coefficients of Order N, Wronskian, Linear Independence and Dependence, Homogeneous Linear Equations with Constant Coef
13. Week   Operator method
14. Week   Variation of parameters method
15. Week   The Euler linear equation and method of solution this equation
16. Week   Final Exam
 -- RECOMMENDED OR REQUIRED READING
  Mehmet Çağlayan, Adi Diferansiyel Denklemler, Dora Yayıncılık, S. L. Ross, (1974), Differential Equations.
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Mehmet Çağlayan, Adi Diferansiyel Denklemler, Dora Yayıncılık, S. L. Ross, (1974), Differential Equations.
 -- WORK PLACEMENT(S)
  -
 -- 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
7
4
28
 Searching in Internet and Library
5
4
20
 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
20
20
 Other
0
 TOTAL WORKLOAD: 
150
 TOTAL WORKLOAD / 25: 
6
 ECTS: 
6
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1To be able to gain scientific innovation skill.X
2To be able to make independent research and investigation.X
3To be able to earn clever observation and analytical thinking skills.X
4To be able to make an biological systems analizing with physics laws.X
5To be able to connect with basic science Mathematic, Chemistry and Biology.X
6To be able to gain ability of teaching and learning.X
7To be able to understand the importance of physics concepts, implementation and describtion.X
8To be able to provide an understanding of natural phenomena with development of technology.X
9To be able to gain thinking, creating, upgradability of discussion and questioning skills.X
10To be able to contribute to developments in the field of Nuclear Medicine ,Health Physics and Medical Physics.X
11To be ability to about computer-aided algorithm for solving problems and to become capable of writing programs.
12To be ability to about access to information, present information and develop assessment.X
13To be develop itself as a parallel to developing technology.X