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Information
| Code | CMZ303 |
| Name | Numerical methods |
| Term | 2022-2023 Academic Year |
| Semester | 5. 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. GALİP SEÇKİN |
| Course Instructor |
Prof. Dr. GALİP SEÇKİN
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
1. To introduce numerical methods to the student and to give information about their application areas in engineering 2. To gain the ability to apply numerical methods in the solution of engineering problems 3. To give the student the ability to apply the knowledge they have acquired in engineering courses (strength, fluid mechanics, heat transfer, etc.) and in working life.
Course Content
Solution methods of linear equation sets. Solution methods of nonlinear equations and equation sets. Interpolation. Function placement. Numerical derivative and integral. Numerical solution methods of ordinary and partial differential equations.
Course Precondition
Having basic knowledge of mathematics and statistics
Resources
Lecturer Notes
Notes
Reaktör Hidroliği Kitabı (Galip Seçkin)
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Ability to choose and apply appropriate methods for solving engineering problems with matrix equations. |
| LO02 | Ability to solve linear and non-linear equations and systems of equations with various methods. |
| LO03 | Ability to apply different interpolation and curve fitting methods to engineering problems. |
| LO04 | Ability to apply numerical derivative and integration methods to various problems |
| LO05 | Ability to recognize engineering problems that can be expressed with ordinary differential equations and to solve them using numerical solution methods. |
| LO06 | Ability to recognize engineering problems expressed by partial differential equations and to solve them using numerical solution methods. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Becomes equipped with adequate knowledge in mathematics, science, environment and engineering sciences | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Becomes able to apply theoretical knowledge in mathematics, science, environment and engineering sciences | 5 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Determines, describes, formulates and gains capabilities in solving engineering problems | 5 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Analyzes a system, components of the system or process, gains the designing capabilities of the system under the real restrictive conditions. | 5 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Chooses ans uses the ability to apply modern tools and design technics, suitable analytical methods, modeling technics for the engineering applications | 5 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Designs and performs experiments, data collection, has the ability of analyzing results | 5 |
| PLO07 | Bilgi - Kuramsal, Olgusal | Works individually and in inter-disciplinary teams effectively | 5 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Becomes able to reach knowledge and for this purpose does literature research and to uses data base and other information sources | 4 |
| PLO09 | Beceriler - Bilişsel, Uygulamalı | Becomes aware of the necessity of lifelong learning and continuously self renewal | 2 |
| PLO10 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Capable of effective oral and written skills in at least one foreign language for technical or non-technical use | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Effective use of Information and communication technologies | 1 |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Defines necessities in learning in scientific, social, cultural and artistic areas and improves himself/herself accordingly. | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Professional and ethical responsibility | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Project management, workplace practices, environmental and occupational safety; awareness about the legal implications of engineering applications | 1 |
| PLO15 | Yetkinlikler - Öğrenme Yetkinliği | Becomes aware of universal and social effects of engineering solutions and applications, entrepreneurship and innovation and to have idea of contemporary issues | 2 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Matrix operations and determinant calculation | Lecture Notes | Öğretim Yöntemleri: Anlatım |
| 2 | Linear equation systems | Lecture Notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 3 | Matrix inverse | Lecture Notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 4 | Nonlinear systems of equations | Lecture Notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Bireysel Çalışma |
| 5 | Eigenvalue problem | Lecture Notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Bireysel Çalışma |
| 6 | Interpolation | Lecture Notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Bireysel Çalışma |
| 7 | Interpolation | Lecture Notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Bireysel Çalışma |
| 8 | Mid-Term Exam | - | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Function placement | Lecture Notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Bireysel Çalışma |
| 10 | Numerical derivation | Lecture Notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Bireysel Çalışma |
| 11 | Numerical integration | Lecture Notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Bireysel Çalışma |
| 12 | Numerical solutions of differential equations | Lecture Notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Bireysel Çalışma |
| 13 | Numerical solutions of differential equations | Lecture Notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Bireysel Çalışma |
| 14 | Numerical solutions of partial differential equations | Lecture Notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Bireysel Çalışma |
| 15 | Numerical solutions of partial differential equations | Lecture Notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Bireysel Çalışma |
| 16 | Term Exams | - | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | - | 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 | ||