GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
DIFFERANTIAL EQUATIONS II/MAT242
Course Title: DIFFERANTIAL EQUATIONS II
Credits 3 ECTS 4
Semester 4 Compulsory/Elective Elective
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
Finding the serial solution of differential equations
Learning the implementation of the differential equations in physics
Finding the solutions and characteristics of Sturm-Liouville problems






 -- 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  Linear differential equations with variable coefficients - Changing the dependent variable - Changing the independent variable - Factoriza
2. Week  Non-linear differential equations with variable coefficients - Not including the dependent variable equations - Not including the independent
3. Week   - Exact differential equations (Sarrus’s Method) - Homogeneous differential equations
4. Week  Applications of physics for second order linear differential equations with constant coefficients
5. Week  Applications of physics for second order linear differential equations with constant coefficients
6. Week  Laplace transforms, Laplace transforms properties, Convolution theorem, the Dirac delta function
7. Week  Inverse Laplace transform, Laplace transform to apply to the initial value problem
8. Week  Midterm exam
9. Week  Power series, radius of convergence and interval of convergence, analytic functions, ordinary and singular points, series solutions for ordinary point
10. Week  Method of Frobenius and Frobenius smooth singular points and Sequential Solution Method
11. Week  Method of Frobenius and Frobenius smooth singular points and Sequential Solution Method
12. Week  Beta and Gamma functions
13. Week  Bessel's differential equation and Bessel functions
14. Week  Bessel's differential equation and Bessel functions
15. Week  Legendre differential equations and Legendre functions
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
  Lecture, Question & Answer, Demonstration, Drill - Practise
 -- 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
2
28
 Practising Hours of Course Per Week
14
2
28
 Reading
4
3
12
 Searching in Internet and Library
4
2
8
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
1
10
10
 Final and Studying for Final
1
15
15
 Other
0
 TOTAL WORKLOAD: 
101
 TOTAL WORKLOAD / 25: 
4.04
 ECTS: 
4
 -- 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