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Information
| Code | IMZ202 |
| Name | Numerical Methods |
| Term | 2024-2025 Academic Year |
| Semester | 4. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 3 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 |
1 2 |
Course Goal / Objective
To teach students with the basic knowledge of numerical methods
Course Content
Numerical solutions of problems which can't solve analytically
Course Precondition
None
Resources
H.R. Yerli, Numerical Methods Lecture Notes
Notes
S.C. Chapra and R.P. Canale, Numerical Methods for Engineers
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | To ability of numerical solution of engineering problems |
| LO02 | Learns about numerical solutions of nonlinear equations |
| LO03 | Learns about numerical solutions of system of Linear equations |
| LO04 | Learns about numerical solutions of Eigenvalue problerms |
| LO05 | Learns about curve fitting |
| LO06 | Learns about numerical integration |
| LO07 | Learns about numerical solution of 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 | 3 |
| 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 | 3 |
| 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. | 3 |
| 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. | |
| 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 | Introduction | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 2 | System of linear equations | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Problem solution of linear equations | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 4 | Numerical solution methods of nonlinear equations | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 5 | Numerical solution of nonlinear equations | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 6 | Eigenvalue problems | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 7 | Curve fitting methods | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 8 | Mid-Term Exam | Exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Problem solution of Curve fitting | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 10 | Numerical integration with trapezoidal rule | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 11 | Numerical integration with Simpson rule | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 12 | Numerical integration with Gaussian quadrature | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 13 | Numerical solutions of initial value problems with Taylo's method | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 14 | Numerical solutions of initial value problems with Runge-Kutta's method | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | General Problem Solving | Lecture notes | 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 | 2 | 28 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 6 | 6 |
| Final Exam | 1 | 10 | 10 |
| Total Workload (Hour) | 86 | ||
| Total Workload / 25 (h) | 3,44 | ||
| ECTS | 3 ECTS | ||