TÜRKÇE
ENGLISH
Information
| Code | EEE209 |
| Name | Differential Equations |
| Term | 2024-2025 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 4-0 (T-A) (17 Week) |
| ECTS | 7 ECTS |
| National Credit | 4 National Credit |
| Teaching Language | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. MUSTAFA KEREM ÜN |
| Course Instructor |
Doç. Dr. MUSTAFA KEREM ÜN
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To teach the student differential equations and their applications in electrical and general engineering fields.
Course Content
Introduction. First order equations. Second order linear homogeneous equations. Second order linear inhomogeneous equations. Higher order linear equations. Systems of linear equations. Solution with power series. Laplace transform.
Course Precondition
None.
Resources
Notes on Diffy Qs: Differential Equations for Engineers - Jiri Lebl
Notes
Internet Sources
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Categorizes differential equations. |
| LO02 | Proposes solution methods for the equations he/she has categorized. |
| LO03 | Writes and solves the first order equations of physical systems. |
| LO04 | Solves constant coefficient, nonhomogeneous equations. |
| LO05 | Solve appropriate equations using Laplace transform. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in complex engineering problems. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose. | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose. | 2 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Ability to devise, select, and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ computer programming techniques, and information technologies effectively. | 5 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development. | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions. | 1 |
| PLO12 | Bilgi - Kuramsal, Olgusal | Ability to apply the knowledge of electrical-electronics engineering to profession-specific tools and devices. | |
| PLO13 | Bilgi - Kuramsal, Olgusal | Having consciousness about the scientific, social, historical, economical and political facts of the society, world and age lived in. | 1 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to ordinary differential equations (ODE) | None. | Öğretim Yöntemleri: Anlatım |
| 2 | First order ODEs, seperation of variables, physical applications. | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 3 | First order ODEs, exact differentials | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 4 | First order ODEs, integrating factors | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 5 | General first order linear ODEs | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 6 | Second order ODEs, solution of constant coefficient, homogeneous equations | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 7 | Methods of undetermined coefficients and variation of parameters | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Review of the material covered sofar | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Higher order ODEs | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 10 | Solution of systems of ODEs | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 11 | Solution of systems of ODEs (continued) | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 12 | Solution with power series. | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 13 | Laplace transform | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 14 | Laplace transform - 2 | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 15 | Review | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 16 | Term Exams | Review of the entire course material | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Review of the entire course material | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 4 | 56 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 6 | 84 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 164 | ||
| Total Workload / 25 (h) | 6,56 | ||
| ECTS | 7 ECTS | ||