GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
Differential Equations/MTÖ307
Course Title: Differential Equations
Credits 3 ECTS 3
Course Semester 5 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
Students, will be able to explain differential equations, their order and degree, their solutions, and give examples.
Students will be able to explain the relationship between the first order differential equation and family of curves with single parameter.
Students will be able to show if a given function is a general-, particular or singular solution of a given differential equation.
Students will be able to identify the type of first order differential equation and find the solution using suitable solution technique.
Students will be able to identify family of curves with particular characteristics using first order differential equations.
Students will be able to make geometrical interpretation of solution of first order differential equations and search for singular solutions.
Students will be able to identify the particular and general solution of higher order linear differential equations.
Students will be able to find the particular and general solution of higher order differential equations with constant coefficients.
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face.
 --WEEKLY SCHEDULE
1. Week  Definitions of basic concept e.g. differential equations, order, degree, particular solution, singular solution and exercises
2. Week  Solution methods of first order differential equations; solution with graphics; separable differential equations and homogeneous differential equations
3. Week  Differential equations which can be transformed into homogeneous differential equations
4. Week  Differential equations which can be transformed in to exact differential equations, integration factor
5. Week  Linear differential equations, Bernoulli equations, their solutions and exercises
6. Week  Riccati equations and its solutions methods, examples
7. Week  Solutions of some firs order and higher degree differential equations
8. Week  Midterm Exam
9. Week  Clariaut equations, Lagrange equations, their solutions, interpretations of solutions and examples
10. Week  Geometrical application of firs order differential equations, identifying the family of plane curves with given properties.
11. Week  Trajectories of family of plane curves
12. Week  The concept of higher order differential equations, linear homogeneous equation, particular solution, general solution,. General solution of linear homogeneous constant coefficient
13. Week  One of the particular solution methods of nonhomogeneous linear differential equations: Method of indefinite coefficients
14. Week  Preperation For Final Exam
15. Week  Final Exam
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
40
 Assignment
0
0
 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
0
 Reading Tasks
10
2
20
 Searching in Internet and Library
0
 Material Design and Implementation
0
 Report Preparing
5
2
10
 Preparing a Presentation
0
 Presentation
0
 Midterm Exam and Preperation for Midterm Exam
1
2
2
 Final Exam and Preperation for Final Exam
2
2
4
 Other (should be emphasized)
0
 TOTAL WORKLOAD: 
78
 TOTAL WORKLOAD / 25: 
3.12
 Course Credit (ECTS): 
3
 -- 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 problems
8Developing the ability of reaching information, evaluating and presenting informationX
9Improving yourself parallel to the developing technology
10Understands the disciplinary structure of mathematics, its historical development, related philosophical approaches and problems.
 -- NAME OF LECTURER(S)
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 -- WEB SITE(S) OF LECTURER(S)
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 -- EMAIL(S) OF LECTURER(S)
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