TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| CIVIL ENGINEERING PR. | |
| Code | INMZ211 |
| Name | DIFFERENTIAL EQUATIONS |
| Term | 2025-2026 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Belirsiz |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. HÜSEYİN RIZKULLAH YERLİ |
| Course Instructor |
Prof. Dr. HÜSEYİN RIZKULLAH YERLİ
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To learn the analitycal and numerical solutions of ordinary differential equations
Course Content
Ordinary differential equations of first order and first degree, Equations with separable variables, Homogeneous differential equations, Equations with functions of linear but nonhomogeneous, Exact differential equations, Linear differential equations
Course Precondition
NONE
Resources
H.R. Yerli, Differential Equations Lecture Notes
Notes
Differential Equations Books
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Thinks analytically in problem solving |
| LO02 | Demonstrates ability to solve the differential equations in mathematical models in civil engineering |
| LO03 | Gains mathematical background for post-graduate education |
| LO04 | Learn to solve differential equations with separation of variable technique |
| LO05 | Learn to solve Exact differential equations |
| LO06 | Learn to solve Linear differential equations |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | “Sufficient knowledge in mathematics, science, and discipline-specific topics in Civil Engineering; the ability to use theoretical and applied knowledge in these fields to solve complex engineering problems.” | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | “The ability to identify, formulate, and solve complex Civil Engineering problems; and the ability to select and apply appropriate analysis and modeling methods for this purpose.” | |
| PLO03 | Bilgi - Kuramsal, Olgusal | “The ability to design a complex system, process, device, or product to meet specified requirements under realistic constraints and conditions; and the ability to apply modern design methods for this purpose.” | |
| PLO04 | Bilgi - Kuramsal, Olgusal | “The ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in Civil Engineering applications; and the ability to use information technologies effectively.” | |
| PLO05 | Bilgi - Kuramsal, Olgusal | “The ability to design experiments, conduct experiments, collect data, and analyze and interpret results for the investigation of complex Civil Engineering problems or discipline-specific research topics.” | |
| PLO06 | Bilgi - Kuramsal, Olgusal | “The ability to work effectively in intra-disciplinary and multidisciplinary teams; and the ability to work independently.” | |
| PLO07 | Bilgi - Kuramsal, Olgusal | “The ability to communicate effectively in both oral and written form; proficiency in at least one foreign language; the ability to write effective reports and understand written reports, prepare design and production reports, deliver effective presentations, and give and receive clear and understandable instructions.” | |
| PLO08 | Bilgi - Kuramsal, Olgusal | “Awareness of the necessity of lifelong learning; the ability to access information, follow developments in science and technology, and continuously improve oneself.” | |
| PLO09 | Bilgi - Kuramsal, Olgusal | “Acting in accordance with ethical principles, having professional and ethical responsibility, and having knowledge of the standards used in engineering practices.” | |
| PLO10 | Bilgi - Kuramsal, Olgusal | “Knowledge of business-life practices such as project management, risk management, and change management; awareness of entrepreneurship and innovation; and knowledge about sustainable development.” | |
| PLO11 | Bilgi - Kuramsal, Olgusal | “Knowledge of the universal and social impacts of Civil Engineering practices on health, environment, and safety, as well as the contemporary issues reflected in the field of engineering; and awareness of the legal consequences of engineering solutions.” |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Basic ideas | Have a lecture note | Öğretim Yöntemleri: Anlatım |
| 2 | Ordinary differential equations | Revision of previous lecture | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Solution methods of differential equations | Revision of previous lecture | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 4 | Differential equations with separable variables | Revision of previous lecture | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 5 | Problem solution of Differential equations with separable variables | Revision of previous lecture | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 6 | Homogeneous differential equations | Revision of previous lecture | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 7 | Problem Solution of Homogeneous Differential equations | Revision of previous lecture | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 8 | Mid-Term Exam | Revision of previous lectures | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Solution of example problems | Revision of previous lecture | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 10 | Solution of Differential equations | Revision of previous lecture | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 11 | Exact differential equations | Revision of previous lecture | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 12 | Exact differential equations with integrating factors | Revision of previous lecture | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 13 | Exact differential equation problems | Revision of previous lecture | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 14 | Linear equations of first order | Revision of previous lecture | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | Example problem Solutions of First order Linear differential equations | Revision of previous lecture | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 16 | Term Exams | Revision of previous lectures | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Revision of previous lectures | Ölçme Yöntemleri: Yazılı Sınav |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
| Final Exam | 1 | 48 | 48 |
| Total Workload (Hour) | 147 | ||
| Total Workload / 25 (h) | 5,88 | ||
| ECTS | 6 ECTS | ||