GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
DIFFERENTIAL EQUATIONS/MAT-201
Course Title: DIFFERENTIAL EQUATIONS
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 mode of delivery 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  The method of variation of parameters.
12. Week  Laplace transformations and their properties, 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
60
 Assignment
0
0
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
60
 Percentage of Final Exam to Total Score  
40
 -- 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
0
 Searching in Internet and Library
2
8
16
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
0
 Presentation
0
 Midterm Exam and Preperation for Midterm Exam
1
22
22
 Final Exam and Preperation for Final Exam
1
31
31
 Other (should be emphasized)
0
 TOTAL WORKLOAD: 
125
 TOTAL WORKLOAD / 25: 
5
 Course Credit (ECTS): 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Basic Science, Basic Engineering and Energy Systems Engineering skills in the field of engineering related to the accumulation of knowledge and ability to apply this knowledge.X
2Ability to identify, define, formulate and solve complex engineering problems; Selecting and applying appropriate analysis and modeling methods for this purpose.X
3The ability to design a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions; The ability to apply modern design methods for this purpose.X
4Ability to develop, select and use modern techniques and tools necessary for the applications of the Department of Energy Systems Engineering; The ability to use information technologies effectively.X
5Ability to design experiments, conduct experiments, collect data, analyze and interpret results for examining problems related to Energy Systems Engineering.X
6Ability to work individually and in teams in the field of Energy Systems Engineering.X
7Effective communication and reporting skills in Turkish verbal and written, at least one foreign language knowledge.X
8Awareness of the necessity of life-long learning; Access to knowledge, ability to follow developments in science and technology, and constant self-renewal.X
9Professional and ethical responsibility.X
10Information on project management and practices in business life such as risk management and change management; Awareness of entrepreneurship, innovation and sustainable development.X
11Information on the effects of the applications of the Department of Energy Systems Engineering on health, energy, environment and safety in the universal and social dimensions and the problems of the age; Awareness of the legal consequences of Energy Systems Engineering solutions.X
 -- NAME OF LECTURER(S)
   (Prof. Dr. Halit KARABULUT)
 -- WEB SITE(S) OF LECTURER(S)
   (http://www.websitem.gazi.edu.tr/site/halitk)
 -- EMAIL(S) OF LECTURER(S)
   (halitk@gazi.edu.tr)