PARTIAL DIFFERENTIAL EQUATIONS AND ENG. APPLICATIONS
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Course Title:
PARTIAL DIFFERENTIAL EQUATIONS AND ENG. APPLICATIONS
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Course Code:
MAK5247
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Type of Course:
Optional
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Level of Course:
Second Cycle
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Year of Study:
1
6
Semester:
1
7
ECTS Credits Allocated:
6
8
Theoretical (hour/week):
3
9
Practice (hour/week) :
0
10
Laboratory (hour/week) :
0
11
Prerequisites:
none
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Recommended optional programme components:
None
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Language:
Turkish
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Mode of Delivery:
Face to face
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Course Coordinator:
Prof. Dr. YAŞAR PALA
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Course Lecturers:
Prof.Dr. Yaşar PALA
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Contactinformation of the Course Coordinator:
Prof.Dr. Yaşar PALA mypala@uludag.edu.tr
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Website:
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Objective of the Course:
The objective of the lecture is to teach the analytical or computational methods of partial differential equations and to make it possible for students to gain the ability of setting up the physical modelling of the engineering problems.
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Contribution of the Course to Professional Development
The objective of the lecture is to teach the analytical or computational methods of partial differential equations and to make it possible for students to gain the ability of setting up the physical modelling of the engineering problems.
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Learning Outcomes:
1
Presenting application areas and the general solution methods of partial differential equations as a common subject. ;
2
Giving the success of the using the knowledge of Mathematics, basic sciences and engineering.;
3
Giving the success of defining, modelling and solving of the problems in mechanical engineering and other areas. ;
4
İnouculating a global point of view to the science with the engineering first. ;
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Course Content:
Week
Theoretical
Practical
1
Basic principles. First order partial differential equations. Applications.
2
Classifications of equations and boundary conditions .
3
Ortonormal Functions.
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Applications of Fourier method.
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Problems including cylindrical and spherical geometry.
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problems
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Continuous eigenvalues and Fourier integrals .
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Laplace transforms
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Repeating courses
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Transform methods for boundary value problems.
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Green functions and generalised functions.
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Numerical Methods
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Numerical Methods
14
General evaluation
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Textbooks, References and/or Other Materials:
1-Prof.Dr. Yaşar PALA , Modern Uygulamalı Diferensiyel Denklemler (Turkish), Nobel Yayıncılık, 2006. 2-Prof.Dr. Yaşar PALA , Fizikçiler ve Mühendisler için Kısmi Diferensiyel Denklemler ( Turkish), U.Ü.Yayınları, 1996.
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Assesment
TERM LEARNING ACTIVITIES
NUMBER
PERCENT
Midterm Exam
1
35
Quiz
0
0
Homeworks, Performances
1
15
Final Exam
1
50
Total
3
100
Contribution of Term (Year) Learning Activities to Success Grade
50
Contribution of Final Exam to Success Grade
50
Total
100
Measurement and Evaluation Techniques Used in the Course
Homework, midterm exam and final exam
Information
If the number of students is low, absolute grading is applied whereas if the number of students is sufficient, relative grading is applied.
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ECTS / WORK LOAD TABLE
Activites
NUMBER
TIME [Hour]
Total WorkLoad [Hour]
Theoretical
14
3
42
Practicals/Labs
0
0
0
Self Study and Preparation
14
3
42
Homeworks, Performances
1
25
25
Projects
0
0
0
Field Studies
0
0
0
Midtermexams
1
25
25
Others
0
0
0
Final Exams
1
45
45
Total WorkLoad
204
Total workload/ 30 hr
5,97
ECTS Credit of the Course
6
26
CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS