Advanced Differantial Equations
Avionics
Faculty of Aeronautics and Astronautics
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 |
|---|---|---|---|---|---|---|
| Advanced Differantial Equations | HUF341 | Elective | Bachelor's degree | 3 | Spring | 6 |
Name of Lecturer(s)
Prof. Dr. Serap BULUT
Learning Outcomes of the Course Unit
1) Comment on the advenced subjects of differential equations
2) Practice Laplace transformation
3) Resolve differential equations by using series
4) Resolve differential equations by using Laplace transformation
5) Resolve the systems of differential equations
Program Competencies-Learning Outcomes Relation
| Program Competencies | |||||||||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | ||
| Learning Outcomes | |||||||||||||||||||
| 1 | No relation | No relation | No relation | No relation | No relation | Middle | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 2 | No relation | No relation | No relation | No relation | No relation | Middle | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 3 | No relation | No relation | No relation | No relation | No relation | Middle | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 4 | No relation | No relation | No relation | No relation | No relation | Middle | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 5 | No relation | No relation | No relation | No relation | No relation | Middle | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Not Required
Course Contents
The methods of successive integrals and simple fractions to find a special solution of differential equations of higher order, differential equation systems, Clariaut differential equations, Riccati differential equations. Linear Algebra.
Weekly Schedule
1) High degree of first-order differential equations2) To find a special solution of differential equations of higher order method of successive integrals
3) Simple fractions
4) Differential equation systems
5) Clariaut differential equations
6) Riccati differential equation
7) Applications
8) Midterm examination/Assessment
9) Linear algebra, basic definitions
10) definition of matrice
11) matrice operations
12) matrice operations
13) Definition of determinant and examples
14) Properties of determinants, examples
15) Applications
16) Final examination
Recommended or Required Reading
1- Diferansiyel denklemler; A. Neşe Dernek ; Ahmet Dernek
2- Diferansiyel denklemler ve uygulamaları; Mehmet Aydın
3- Çözümlü problemlerle diferansiyel denklemler; Eyüp Sabri Türker ; Metin Başarır
Planned Learning Activities and Teaching Methods
1) Lecture
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