GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
DIFFERENTIAL EQUATIONS/MAT-201
Course Title: DIFFERENTIAL EQUATIONS
Credits 4 ECTS 5
Semester 3 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Prof. Dr. Can ÇINAR, Prof. Dr. Halit KARABULUT
 -- WEB SITE(S) OF LECTURER(S)
  http://websitem.gazi.edu.tr/site/cancinar, http://websitem.gazi.edu.tr/site/halitk
 -- EMAIL(S) OF LECTURER(S)
  cancinar@gazi.edu.tr, halitk@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Understand the differential equation concept.
Learning the types of differential equation.
Using differential equations for formulating mathematical models solve problems of the real world phenomena/engineering design.
 -- MODE OF DELIVERY
  The mode of delivery of this course is face to face and homework.
 -- PREREQUISITES AND CO-REQUISITES
  There is no prerequisiteco-requisite for this course
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  MAT-101, MAT-102
 --COURSE CONTENT
1. Week  Introduction to differential equations, relation with engineering sciences, generalspecial solutions
2. Week  First order differential equations, separablehomogeneous differential equations
3. Week  Homogenized differential equations
4. Week  Linear differential equations, Bernoulli differential equations
5. Week  Exact differential equations
6. Week  Exact differential equationsintegrating factor
7. Week  Secondhigh order differential equations, constant-coefficient homogeneous differential equations
8. Week  Midterm exam
9. Week  Non-homogeneous constant-coefficient differential equations
10. Week  Non-homogeneous constant-coefficient differential equations
11. Week  Cauchy-Euler differential equations
12. Week  Solution of variable -coefficient differential equations by series
13. Week  Solution of variable -coefficient differential equations by series
14. Week  Bessel differential equations
15. Week  Sets of linear differential equations
16. Week  FINAL EXAM
 -- RECOMMENDED OR REQUIRED READING
  1. Karadeniz, A.A., Yüksek Matematik, Cilt:3, Çağlayan Kitapevi, 2007. 2. Ross, S.L., Differantial Equations, John WileySons, 1984. 3. Boyce, W.E.,
 -- 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
30
 Assignment
5
10
 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
4
56
 Practising Hours of Course Per Week
0
 Reading
0
 Searching in Internet and Library
0
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
1
17
17
 Final and Studying for Final
1
20
20
 Other
8
4
32
 TOTAL WORKLOAD: 
125
 TOTAL WORKLOAD / 25: 
5
 ECTS: 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Capability of obtaining adequate knowledge in mathematics, science and engineering subjects in the automotive field; applying theoretical and practical knowledge for modeling and solving engineering problems in this field.X
2Capability of formulation and solving engineering problems; for this purpose selecting and appliying the appropriate analysis and modeling methods.X
3Capability of evaluation of engine and vehicle design projects, designing any engine and vehicle parts, to bring prototype and series production stage.X
4Capability of design of complex systems for specific needs, component or process in whole or in part.X
5Capability of development of modern methods and tools necessary for engineering applications, selection and effective use and to use of information technologies effectively.X
6Capability of analysis of the engineering problems and for the solution designing and performing experiments, collecting data, analyzing and interpretting the results.X
7Capability of work in team and individual and ability to work effectively with other disciplines.X
8Capability of effective communication both verbal and written in Turkish and at least one foreign language konwledgeX
9Capability of access to information in the framework of lifelong learning, to follow the developments in science and technology and self-improvement.X
10Resposibility of professional and ethical liability.X
11Awareness of leadership, entrepreneurship, innovation and sustainable development in business life.X
12Being competent in the engineering applications, legislations, legal consequences and in the field of occupational health and safety.X
13Capability of research and application in the subjects of noise, environment and emissions.X
14Capability of making education in the field.X