COMPUTER ENGINEERING | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code: | 1410211009 | ||||||||
Ders İsmi: | Differential Equations | ||||||||
Ders Yarıyılı: | Fall | ||||||||
Ders Kredileri: |
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Language of instruction: | TR | ||||||||
Ders Koşulu: | |||||||||
Ders İş Deneyimini Gerektiriyor mu?: | No | ||||||||
Type of course: | Necessary | ||||||||
Course Level: |
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Mode of Delivery: | Face to face | ||||||||
Course Coordinator : | Dr.Öğr.Üyesi Recep DURANAY | ||||||||
Course Lecturer(s): |
Dr.Öğr.Üyesi Mutlu YILMAZ Dr.Öğr.Üyesi Recep DURANAY |
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Course Assistants: |
Course Objectives: | To develop mathematical thinking and solve problems encountered in mathematics, physics and engineering. |
Course Content: | First order ordinary differential equations (homogeneous and inhomogeneous cases, direct integration, integral factors, substitution). Second order ordinary differential equations (change of parameters, reduction of order). Laplace transformations and applications. Power series solutions of second order linear differential equations, Frobenius method. |
The students who have succeeded in this course;
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Week | Subject | Related Preparation |
1) | Introduction (Basic definitions, classification of differential equations), Separable equations, Homogeneous equations | textbook |
2) | 1st DEGREE DIFFERENTIAL EQUATIONS | TEXT BOOK |
4) | Differential equations that can be separated into variables, Solutions of homogeneous differential equations | textbook |
5) | Exact differential equations | textbook |
6) | Integration factor for exact differential equations, Differential equations that are also homogeneous and complete differential equations, Linear differential equations | textbook |
7) | Bernoulli Differential Equation, Riccati Diferansiyel Denklemi | textbook |
8) | Midterm1 | textbook |
9) | Clairaut Differential equation, Lagrange Differential equation | textbook |
10) | Higher order differential equations | textbook |
11) | The dependent variable and the first k. differential equations with no derivatives of order | textbook |
12) | Quadratic constant coefficient differential equations | textbook |
13) | n. differential equations with constant coefficients, Euler's differential equation | textbook |
14) | Differential equation systems | textbook |
15) | Final | textbook |
Course Notes / Textbooks: | W. Boyce and R. DiPrima, Elementary Di_erential Equations and Boundary Value Problems, 9th Ed., Wiley (2009) |
References: | Okutman notları |
Ders Öğrenme Kazanımları | 1 |
2 |
3 |
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Program Outcomes | ||||||||||||||||
1) PO 1.1) Sufficient knowledge in mathematics, science and computer engineering | ||||||||||||||||
2) PO 1.2) Ability to apply theoretical and applied knowledge in mathematics, science and computer engineering for modeling and solving engineering problems. | ||||||||||||||||
3) PO 2.1) Identifying complex engineering problems | ||||||||||||||||
4) PO 2.2) Defining complex engineering problems | ||||||||||||||||
5) PO 2.3) Formulating complex engineering problems | ||||||||||||||||
6) PO 2.4) Ability to solve complex engineering problems | ||||||||||||||||
7) PO 2.5) Ability to choose and apply appropriate analysis and modeling methods | ||||||||||||||||
8) PO 3.1) Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions. | ||||||||||||||||
9) PO 3.2) Ability to apply modern design methods under realistic constraints and conditions for a complex system, process, device or product | ||||||||||||||||
10) PO 4.1) Developing modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications | ||||||||||||||||
11) PO 4.2) Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications | ||||||||||||||||
12) PO 4.3) Ability to use information technologies effectively. | ||||||||||||||||
13) PO 5.1) Examination of complex engineering problems or discipline-specific research topics, designing experiments | ||||||||||||||||
14) PO 5.2) Examination of complex engineering problems or discipline-specific research topics, experimentation | ||||||||||||||||
15) PO 5.3 ) Analysis of complex engineering problems or discipline-specific research topics, data collection | ||||||||||||||||
16) PO 5.4) Analyzing the results of complex engineering problems or discipline-specific research topics | ||||||||||||||||
17) PO 5.5) Examining and interpreting complex engineering problems or discipline-specific research topics |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | PO 1.1) Sufficient knowledge in mathematics, science and computer engineering | |
2) | PO 1.2) Ability to apply theoretical and applied knowledge in mathematics, science and computer engineering for modeling and solving engineering problems. | |
3) | PO 2.1) Identifying complex engineering problems | |
4) | PO 2.2) Defining complex engineering problems | |
5) | PO 2.3) Formulating complex engineering problems | |
6) | PO 2.4) Ability to solve complex engineering problems | |
7) | PO 2.5) Ability to choose and apply appropriate analysis and modeling methods | |
8) | PO 3.1) Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions. | |
9) | PO 3.2) Ability to apply modern design methods under realistic constraints and conditions for a complex system, process, device or product | 5 |
10) | PO 4.1) Developing modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications | |
11) | PO 4.2) Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications | |
12) | PO 4.3) Ability to use information technologies effectively. | |
13) | PO 5.1) Examination of complex engineering problems or discipline-specific research topics, designing experiments | |
14) | PO 5.2) Examination of complex engineering problems or discipline-specific research topics, experimentation | |
15) | PO 5.3 ) Analysis of complex engineering problems or discipline-specific research topics, data collection | |
16) | PO 5.4) Analyzing the results of complex engineering problems or discipline-specific research topics | |
17) | PO 5.5) Examining and interpreting complex engineering problems or discipline-specific research topics |
Course | |
Homework | |
Problem Çözme |
Yazılı Sınav (Açık uçlu sorular, çoktan seçmeli, doğru yanlış, eşleştirme, boşluk doldurma, sıralama) | |
Homework | |
Uygulama |
Semester Requirements | Number of Activities | Level of Contribution |
Quizzes | 2 | % 10 |
Midterms | 1 | % 40 |
Semester Final Exam | 1 | % 50 |
total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 50 | |
PERCENTAGE OF FINAL WORK | % 50 | |
total | % 100 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 14 | 4 | 56 |
Study Hours Out of Class | 14 | 6 | 84 |
Homework Assignments | 5 | 3 | 15 |
Midterms | 2 | 2 | 4 |
Final | 1 | 3 | 3 |
Total Workload | 162 |