GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
DIFFERANTIAL EQUATIONS I/MAT201
Course Title: DIFFERANTIAL EQUATIONS I
Credits 4 ECTS 5
Course Semester 3 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
Learn the definition of differential equation
Learn the solution methods of differential equations
Learn the application of differential equations
Learn Laplace and inverse Laplace transformation and applications

 -- MODE OF DELIVERY
  The type of this course is face to face.
 --WEEKLY SCHEDULE
1. Week  Fundamental of differential equations and classification of equations. Geometrical meanings of differential equations.
2. Week  First order separable and homogeneous equations and their solution procedures:
3. Week  Linear differential equations, Bernouilli and Riccati differential equations
4. Week  Exact differential equations, integrating factors.
5. Week  Some applications of first order differential equations
6. Week  First order nonlinear differential equations
7. Week  Lagrange and Clairaut differential equations
8. Week  Theory of higher order of differential equations, Higher order homogenous differential equations with constant coefficients
9. Week  Higher order nonhomogenous differential equations with constant coefficients, Method of undetermined coefficients
10. Week  The method of variation of parameters.
11. Week  Laplace transformations and their properties
12. Week  Inverse Laplace transformations and their properties
13. Week  Applications of Laplace and inverse Laplace transformations
14. Week  Applications of Laplace and inverse Laplace transformations
15. Week  
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
4
56
 Weekly Tutorial Hours
0
 Reading Tasks
4
4
16
 Searching in Internet and Library
2
12
24
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
1
2
2
 Presentation
1
1
1
 Midterm Exam and Preperation for Midterm Exam
1
20
20
 Final Exam and Preperation for Final Exam
0
0
0
 Other (should be emphasized)
0
 TOTAL WORKLOAD: 
119
 TOTAL WORKLOAD / 25: 
4.76
 Course Credit (ECTS): 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1To be able to evaluate the case in terms of physics.X
2Improving experimental practicality.X
3To earn the ability of problem solving and analysis.X
4Analyzing current problems with physical thought.X
5To learn the relationship between the courses taught in the other departments and to learn to use these features.X
6To develop the ability to connect physics and mathematics and to model natural phenomena.X
7Informing the audience correctly in an milieu where physics-related events are discussed.X
8To learn how to use the acquired knowledge in the development of society.X
9To have a competing personality to compare the acquired knowledge with those given in similar institutions and to go further.X
10To have a self-confident personality in the international scientific arena.X
11To have the ability to follow every development related to his / her profession and to use the acquired knowledge.X
12To educate people who are aware that scientific work will never end and should always be studied.X
 -- NAME OF LECTURER(S)
   (Mathematics Department Teaching Members)
 -- WEB SITE(S) OF LECTURER(S)
   ()
 -- EMAIL(S) OF LECTURER(S)
   (fefmatematik@gazi.edu.tr)