BİLGİ PAKETİ / DERS KATALOĞU
1410211009 Differential Equations
Degree Programs
COMPUTER ENGINEERING
Diploma SupplementNational Qualifications
COMPUTER ENGINEERING
Bachelor TR-NQF-HE: Level 6 QF-EHEA: First Cycle EQF-LLL: Level 6

Ders Genel Tanıtım Bilgileri

Course Code: 1410211009
Ders İsmi: Differential Equations
Ders Yarıyılı: Fall
Ders Kredileri:
Theoretical Practical Credit ECTS
3 0 3 6
Language of instruction: TR
Ders Koşulu:
Ders İş Deneyimini Gerektiriyor mu?: No
Type of course: Necessary
Course Level:
Bachelor TR-NQF-HE:6. Master`s Degree QF-EHEA:First Cycle EQF-LLL:6. Master`s Degree
Mode of Delivery: Face to face
Course Coordinator : Dr.Öğr.Üyesi Recep DURANAY
Course Lecturer(s): Dr.Öğr.Üyesi Recep DURANAY
Dr.Öğr.Üyesi Mutlu YILMAZ
Course Assistants:

Dersin Amaç ve İçeriği

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.

Learning Outcomes

The students who have succeeded in this course;
Learning Outcomes
1 - Knowledge
Theoretical - Conceptual
1) Solves some ordinary differential equations using power series.
2 - Skills
Cognitive - Practical
3 - Competences
Communication and Social Competence
Learning Competence
1) Solves some ordinary differential equations of first and second order with appropriate solution methods.
2) Know the Laplace transform and use it to solve some ordinary differential equations.
Field Specific Competence
Competence to Work Independently and Take Responsibility

Ders Akış Planı

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

Sources

Course Notes / Textbooks: W. Boyce and R. DiPrima, Elementary Di_erential Equations and Boundary Value Problems, 9th Ed., Wiley (2009)
References: Okutman notları

Ders - Program Öğrenme Kazanım İlişkisi

Ders Öğrenme Kazanımları

1

2

3
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

Ders - Öğrenme Kazanımı İlişkisi

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

Öğrenme Etkinliği ve Öğretme Yöntemleri

Course
Homework
Problem Çözme

Ölçme ve Değerlendirme Yöntemleri ve Kriterleri

Yazılı Sınav (Açık uçlu sorular, çoktan seçmeli, doğru yanlış, eşleştirme, boşluk doldurma, sıralama)
Homework
Uygulama

Assessment & Grading

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

İş Yükü ve AKTS Kredisi Hesaplaması

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