GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
ORDINARY DIFFERENTIAL EQUATIONS/MAT209A
Course Title: ORDINARY DIFFERENTIAL EQUATIONS
Credits 3 ECTS 5
Semester 3 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Asst.Prof.Dr. Sevgi Atlıhan
 -- WEB SITE(S) OF LECTURER(S)
  www.gazi.edu.tr/asevgi
 -- EMAIL(S) OF LECTURER(S)
  asegi@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Differential equations and their solutions in every field can be sustained by building aware of how to do.
Learn some basic definitions and terminology associated with differential equations and their solutions;
Be able to visualize the direction field associated with a first-order differential equation and be able to use a numerical method of solution known a
Be able to use analytical methods of solution by direct integration; separation of variables; and the integrating factor method.
Be able to solve homogeneous second-order equations.
Determine a general method for constructing solutions to inhomogeneous linear constant-coefficient second-order equations;
Classify differential equations according to certain features.
Solve first order linear equations and nonlinear equations of certain types and interpret the solutions.
Learn the relationship between slope fields and solution curves for differential equations.
Determine using differential equations in exact and qualitative solutions for problems arising in physics and other scientific applications
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face.
 -- PREREQUISITES AND CO-REQUISITES
  It is recommended to be taken prior to courses of MAT 109A Calculus and MAT 110A Calculus.
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  There is no recommended optional programme component for this course.
 --COURSE CONTENT
1. Week  Basic theory, look at some elementary differential equations
2. Week  The method of Euler
3. Week  First order ordinary equations; Equations separation of variables
4. Week  First order ordinary equations; total differential equations
5. Week  Homogen equations
6. Week  Bernouelli and Riccati equations
7. Week  Vertical and inclined orbits
8. Week  Midterm exam
9. Week  Clairaut and Lagrange equations; Constant coefficient equations; The real roots and complex roots
10. Week  Non-homogen equations: The method of undetermined coefficients
11. Week  Short methods
12. Week  Variation of parameters
13. Week  Euler and Legendre equations
14. Week  Applications of differential equations
15. Week  
16. Week  
 -- RECOMMENDED OR REQUIRED READING
  W. R. Derrich, S. I. Grossman Elemantary Differential Equations, Addison-Wesley, Amsterdam, 1996. F. Ayres Theory and Problems Differential Equati
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Demonstration, Drill-Practise
 -- 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
2
28
 Practising Hours of Course Per Week
14
2
28
 Reading
14
1
14
 Searching in Internet and Library
14
2
28
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
7
2
14
 Final and Studying for Final
7
2
14
 Other
0
 TOTAL WORKLOAD: 
126
 TOTAL WORKLOAD / 25: 
5.04
 ECTS: 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Acquisition of scientific thinking skillsX
2Making research and investigation independentlyX
3Acquisition of carefully observing and analytically thinking skillsX
4Acquisition of learning and teaching mathematics problemsX
5Comprehending, applying and explaining the importance of mathematical conceptsX
6Developing the thinking, producing, argumenting and probing abilitiesX
7Having the algorithm and sotftware writing abilities for solving computer supported problemsX
8Developing the ability of reaching information, evaluating and presenting informationX
9Improving yourself parallel to the developing technologyX
10Understands the disciplinary structure of mathematics, its historical development, related philosophical approaches and problems.X