GAZI UNIVERSITY INFORMATION PACKAGE - 2018 ACADEMIC YEAR

COURSE DESCRIPTION
DIFFERENTIAL EQUATIONS/MM 215 E
Course Title: DIFFERENTIAL EQUATIONS
Credits 3 ECTS 5
Semester 3 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  English
 -- NAME OF LECTURER(S)
  Asst.Prof.Dr.Cevdet AYGÜN, Asst.Prof.Dr. Muhittin BİLGİLİ, Dr.Tunç APATAY
 -- WEB SITE(S) OF LECTURER(S)
  websitem.gazi.edu.tr/site/caygun, websitem.gazi.edu.tr/site/bilgili, websitem.gazi.edu.tr/site/tapatay
 -- EMAIL(S) OF LECTURER(S)
  caygun@gazi.edu.tr, bilgili@gazi.edu.tr, tapatay@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Understand the differential equation concept.
Learning the types of differential equation.
Be able to formulate mathematical models for engineering problems
Be able to determine the particular and general solutions of the first and second-order differential equations.
Be able to solve the differential equations with Laplace transform.




 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
  There is no prerequisite or co-requisite for this course.
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  MAT 101 Mathematics I
 --COURSE CONTENT
1. Week  Mathematical models. Definition of linear and nonlinear differential equations . Separable equations.
2. Week  Solution of for various linear and nonlinear forms in y of f(x,y).
3. Week  Exact differential equations. Integrating factors. Linear first-order equation. Existence and uniqueness of solutions. Picard’s iteration.
4. Week  Second-order constant-coefficient linear differential equations. Higher-order differential equations.
5. Week  Characteristic equation and case of real repeated and complex roots.Euler’s formula for complex exponential function. Cauchy-Euler.
6. Week  The nonhomogeneous equation and applications of second order differential equations
7. Week  2.vize
8. Week  Laplace transform method. First and second shifting theorems
9. Week  Transformation of initial-value problems with various discontinuous loading functions
10. Week  Convolution. Unit impulses and the dirac delta function.
11. Week  Laplace Transfom solution of Systems.
12. Week  Midterm 2
13. Week  Differential equations with polynomial coefficients
14. Week  Power series solutions of initial value problems .
15. Week  Singular points and the method of Frobenius.
16. Week  Final
 -- RECOMMENDED OR REQUIRED READING
  1) P.V. O’Neil ,Advance Engineering Mathematics,Fifth Ed.,2003. 2) Erwin Kreyszig, Advanced Engineering Mathematics, 10th Ed.,Wiley, USA, 2011
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Demonstration, Drill - Practise
 -- WORK PLACEMENT(S)
  none
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
2
50
 Assignment
0
0
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
4
10
 Contribution of In-term Studies to Overall Grade  
60
 Contribution of Final Examination to Overall Grade  
40
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
14
3
42
 Practising Hours of Course Per Week
0
 Reading
14
1
14
 Searching in Internet and Library
10
2
20
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
2
10
20
 Final and Studying for Final
1
10
10
 Other
6
3
18
 TOTAL WORKLOAD: 
124
 TOTAL WORKLOAD / 25: 
4.96
 ECTS: 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Engineering graduates with sufficient theoretical and practical background for a successful profession and with application skills of fundamental scientific knowledge in the engineering practice.X
2Engineering graduates with skills and professional background in describing, formulating, modeling and analyzing the engineering problem, with a consideration for appropriate analytical solutions in all necessary situationsX
3Engineering graduates with the necessary technical, academic and practical knowledge and application confidence in the design and assessment of machines or mechanical systems or industrial processes with considerations of productivity, feasibility and environmental and social aspects.X
4Engineering graduates with the practice of selecting and using appropriate technical and engineering tools in engineering problems, and ability of effective usage of information science technologies
5Ability of designing and conducting experiments, conduction data acquisition and analysis and making conclusions
6Ability of identifying the potential resources for information or knowledge regarding a given engineering issueX
7The abilities and performance to participate multi-disciplinary groups together with the effective oral and official communication skills and personal confidence
8Ability for effective oral and official communication skills in Turkish Language and, at minimum, one foreign languageX
9Engineering graduates with motivation to life-long learning and having known significance of continuous education beyond undergraduate studies for science and technology
10Engineering graduates with well-structured responsibilities in profession and ethics
11Engineering graduates who are aware of the importance of safety and healthiness in the project management, workshop environment as well as related legal issues
12Consciousness for the results and effects of engineering solutions on the society and universe, awareness for the developmental considerations with contemporary problems of humanity