Differential Equations
Industrial Engineering
Faculty of Engineering
First Cycle (Bachelor's Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Differential Equations | FEF104 | Compulsory | Bachelor's degree | 2 | Fall | 5 |
Name of Lecturer(s)
Prof. Dr. Halis AYGÜN
Prof. Dr. Abdülkadir AYGÜNOĞLU
Prof. Dr. İrem BAĞLAN
Prof. Dr. Ali DEMİR
Prof. Dr. Vildan GÜLKAÇ
Prof. Dr. Çiğdem GÜNDÜZ
Prof. Dr. Zahir MURADOĞLU
Prof. Dr. Neşe ÖMÜR
Prof. Dr. Serdal PAMUK
Associate Prof. Dr. Arzu AKGÜL
Associate Prof. Dr. Mine Aylin BAYRAK
Associate Prof. Dr. Arzu COŞKUN
Associate Prof. Dr. Selda ÇALKAVUR
Associate Prof. Dr. Vildan ÇETKİN
Associate Prof. Dr. Evrim GÜVEN
Associate Prof. Dr. İlim KİŞİ
Associate Prof. Dr. Hülya KODAL SEVİNDİR
Associate Prof. Dr. Sibel KOPARAL
Associate Prof. Dr. Günay ÖZTÜRK
Associate Prof. Dr. Banu PAZAR VAROL
Associate Prof. Dr. Yücel TÜRKER ULUTAŞ
Associate Prof. Dr. Ali Fuat YENİÇERİOĞLU
Assistant Prof. Dr. Metin BAYRAK
Assistant Prof. Dr. Süleyman ÇETİNKAYA
Assistant Prof. Dr. Ahmet ZOR
Lecturer Aynur ERDEK
Lecturer Mevlüt SEVİNDİR
Research Assistant Ebru AYDOĞDU
Research Assistant Dr. İrem ÇAY
Research Assistant Dr. Gülcan ÖZKUM
Learning Outcomes of the Course Unit
1) Define differential equation
2) Solve seperable, homogeneous, linear, exact types of differential equations
3) Solve Bernoulli and Riccati differential equations
4) Solve second and higher order linear equations with constant coefficients
5) State the method of parameters variation
6) Define differential equations with variable coefficients
7) Solve some differential equations with variable coefficients
8) Solve systems of differential equations
9) Solve differential equations via Laplace transformations
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | ||
| Learning Outcomes | ||||||||||||
| 1 | Low | Low | Low | Low | Low | Low | Low | Low | Low | High | Low | |
| 2 | Low | Low | Low | Low | Low | Low | Low | Low | Low | High | Low | |
| 3 | Low | Low | Low | Low | Low | Low | Low | Low | Low | High | Low | |
| 4 | Low | Low | Low | Low | Low | Low | Low | Low | Low | High | Low | |
| 5 | Low | Low | Low | Low | Low | Low | Low | Low | Low | High | Low | |
| 6 | Low | Low | Low | Low | Low | Low | Low | Low | Low | High | Low | |
| 7 | Low | Low | Low | Low | Low | Low | Low | Low | Low | High | Low | |
| 8 | Low | Low | Low | Low | Low | Low | Low | Low | Low | High | Low | |
| 9 | Low | Low | Low | Low | Low | Low | Low | Low | Low | High | Low | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Not Required
Course Contents
This lesson covers fundamental notions and models related to differential equations, first order differential equations, seperable, homogeneous, Linear, Bernoulli and Riccati type differential equations, exact differential equations and integration factor, first order higher degree equations, higher order differential equations, higher order equations with constant coefficients, method of parameters variation, differential equation systems and laplace transformations.
Weekly Schedule
1) Basic concepts and models related to differential equations2) First order differential equations: seperable, homogeneous
3) First order differential equations: Linear and Bernoulli type diff. equations
4) Riccati and Exact differential equations
5) Integral factor
6) First order higher degree equations
7) Higher order differential equations
8) Midterm examination/Assessment
9) Higher order differential equations with constant coefficients
10) Method of parameters variation
11) Differential equations with variable coefficients
12) Differential equation systems
13) Differential equation systems
14) Laplace transformations
15) Laplace transformations
16) Final examination
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
1) Lecture
2) Modelling
3) Group Study
4) Lab / Workshop
5) Project Based Learning
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
40% |
|---|---|
Contribution of Final Examination to Course Grade |
60% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required