TÜRKÇE
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Information
| Code | IMZ217 |
| Name | Differential Equations |
| Term | 2023-2024 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. HÜSEYİN RIZKULLAH YERLİ |
| Course Instructor |
Prof. Dr. HÜSEYİN RIZKULLAH YERLİ
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To teach 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
H.R. Yerli, Differential Equations Lecture Notes
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 | Has the basic knowledge of math, science and civil engineering | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Has a good commman of basic concepts, theories and principles in civil engineering. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Independently reviews and learns the applications, makes a critical assessment of the problems faced with, selects the proper technique to formulate problems and propose solutions | 5 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Designs a system, a component or a process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, sustainability limitations. | 5 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Selects and uses the modern techniques and tools necessary for engineering practice | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Designs and carries out experiments in the fields of civil engineering, and interprets the results and the data obtained from the experiments | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Gains the abiltiy to work effectively as a member in interdisciplinary teams | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Identifies proper sources of information and databases, reaches them and uses them efficiently. | 3 |
| PLO09 | Bilgi - Kuramsal, Olgusal | Follows the advancements in science and technology being aware of the necessity of lifelong learning and continuously improves her/himself. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Uses the computers and information technologies related with civil engineering actively. | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Gains the ability to communicate effectively both orally and in writing. | |
| PLO12 | Bilgi - Kuramsal, Olgusal | Communicates using technical drawing | |
| PLO13 | Bilgi - Kuramsal, Olgusal | Constantly improves her/himself by identifying the training needs in scientific, cultural, artistic and social fields. | |
| PLO14 | Bilgi - Kuramsal, Olgusal | Continuously improves her/himself by defining necessities in learning in scientific, social, cultural and artistic areas besides the occupational requirements. | |
| PLO15 | Bilgi - Kuramsal, Olgusal | Has an understanding of entrepreneurship and innovation subjects, and is knowledgeable of contemporary issues. | |
| PLO16 | Bilgi - Kuramsal, Olgusal | Has an awareness of professional and ethical responsibility | |
| PLO17 | Bilgi - Kuramsal, Olgusal | Has the required knowledge in project management, workplace practices, employee health, environmental and occupational safety; and the legal implications of engineering applications. |
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 | Exam | 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 | Exam | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Exam | Ölçme Yöntemleri: Yazılı Sınav |
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 | 7 | 7 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 109 | ||
| Total Workload / 25 (h) | 4,36 | ||
| ECTS | 4 ECTS | ||