Doç. Dr. Sezayi HIZLIYEL Yrd.Doç.Dr. Setenay DOĞAN Yrd.Doç.Dr. Nisa ÇELİK Yrd.Doç.Dr. Emrullah YAŞAR
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Contactinformation of the Course Coordinator:
caglayan@uludag.edu.tr, 0-224-2941752 Uludağ Ünv. Fen Ed. Fakültesi Matematik Bölümü Görükle Yerleşkesi 16059 Nilüfer/Bursa
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Website:
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Objective of the Course:
To introduce differential equations which are appear in a lot of aplications of engineering and investigate to solutions of this..
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Contribution of the Course to Professional Development
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Learning Outcomes:
1
Understands the importance of differential equations in terms of engineering;
2
Uses the definitions and methods of solution of differential equations;
3
Solves the first order differential equations.;
4
Solves the second and higher order differential equations.;
5
Solves differential equations with boundary conditions.;
6
Solves differential equations using Laplace transform;
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Course Content:
Week
Theoretical
Practical
1
General concepts and classification, First order equations
Problem solving
2
seperable equations, exact equations
Problem solving
3
İntegral factor, first order linear equations, variable substition (Homogenous equations, Bernoulli equations, Ricatti Equations)
Problem solving
4
Existence and uniqueness theorems, the first order differential equations with applications
Problem solving
5
High degree of first-order equations
Problem solving
6
n.-order linear differential equations: the constant coefficient differential equations (method of undetermined coefficients), variable-coefficient differential equations (separation of the operator factorization, method of variation of parameters
Problem solving
7
reduction of order
Problem solving
8
Cauchy Euler Equations
Problem solving
9
Repeating courses and midterm exam
Problem solving
10
Laplace transforms
Problem solving
11
Definitons and theorems
Problem solving
12
Solution of initial value problem
Problem solving
13
Power series method, solution around the ordinary and singular point
Problem solving
14
Linear differential equations and systems: basic theory and solutions, using the Laplace transform solution
Problem solving
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Textbooks, References and/or Other Materials:
Prof.Dr. Mehmet ÇAĞLIYAN, Yrd.Doç.Dr. Nisa ÇELİK, Yrd. Doç. Dr. Setenay DOĞAN, Adi Diferensiyel Denklemler
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Assesment
TERM LEARNING ACTIVITIES
NUMBER
PERCENT
Midterm Exam
1
50
Quiz
0
0
Homeworks, Performances
1
0
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
Information
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ECTS / WORK LOAD TABLE
Activites
NUMBER
TIME [Hour]
Total WorkLoad [Hour]
Theoretical
14
3
42
Practicals/Labs
14
2
28
Self Study and Preparation
14
4
56
Homeworks, Performances
1
30
30
Projects
0
0
0
Field Studies
0
0
0
Midtermexams
1
10
10
Others
0
0
0
Final Exams
1
12
12
Total WorkLoad
178
Total workload/ 30 hr
5,93
ECTS Credit of the Course
6
26
CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
