Türkçe English Rapor to Course Content
COURSE SYLLABUS
PARTIAL DIFFERENTIAL EQUATIONS AND ENG. APPLICATIONS
1 Course Title: PARTIAL DIFFERENTIAL EQUATIONS AND ENG. APPLICATIONS
2 Course Code: MAK5247
3 Type of Course: Optional
4 Level of Course: Second Cycle
5 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
12 Recommended optional programme components: None
13 Language: Turkish
14 Mode of Delivery: Face to face
15 Course Coordinator: Prof. Dr. YAŞAR PALA
16 Course Lecturers: Prof.Dr. Yaşar PALA
17 Contactinformation of the Course Coordinator: Prof.Dr. Yaşar PALA
mypala@uludag.edu.tr
18 Website:
19 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.
20 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.
21 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. ;
22 Course Content:
Week Theoretical Practical
1 Basic principles. First order partial differential equations. Applications.
2 Classifications of equations and boundary conditions .
3 Ortonormal Functions.
4 Applications of Fourier method.
5 Problems including cylindrical and spherical geometry.
6 problems
7 Continuous eigenvalues and Fourier integrals .
8 Laplace transforms
9 Repeating courses
10 Transform methods for boundary value problems.
11 Green functions and generalised functions.
12 Numerical Methods
13 Numerical Methods
14 General evaluation
23 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.
24 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.
25 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
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10
LO1 3 0 0 0 5 0 0 0 0 0
LO2 0 4 0 0 0 0 0 0 0 0
LO3 0 5 0 0 5 0 0 0 0 0
LO4 4 0 0 0 0 0 0 0 0 0
LO: Learning Objectives PQ: Program Qualifications
Contribution Level: 1 Very Low 2 Low 3 Medium 4 High 5 Very High
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