TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| CIVIL ENGINEERING PR. | |
| Code | INMZ109 |
| Name | Linear Algebra |
| Term | 2025-2026 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 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 |
Arş.Gör. Dr. Ahmet AKKAYA
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The aim of this lesson is to transfer Linear Algebra knowledge to Civil Engineering students and to provide them with the ability to solve Linear Algebra problems.
Course Content
In this lesson matrices, determinants, systems of linear equations, eigenvalue problems and vectors are taught.
Course Precondition
None
Resources
Linear Algebra Lecture Note, Prof. Dr. Hüseyin R. Yerli.
Notes
Analitik Geometri, Rüstem Kaya, Platform Yayıncılık, 1. Basım, 2020.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explains the types of matrices and their properties |
| LO02 | Solves determinant problems |
| LO03 | Solves linear equation systems |
| LO04 | Solves eigenvalue problems |
| LO05 | Explains vector operations and their properties |
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.” | 3 |
| 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.” | 3 |
| 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 | Matrices | Lecture notes and books etc. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 2 | Properties of Matrices | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 3 | Operations on Matrices | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 4 | Determinants | Repeat the previous lesson | Öğretim Yöntemleri: Soru-Cevap, Anlatım |
| 5 | Rank of a matrix and its inverse | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 6 | Properties of Determinant | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 7 | Examples | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 8 | Mid-Term Exam | Repeat the previous lesson | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Systems of Linear Equations | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 10 | Solving Systems of Linear Equations | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 11 | Cramer's Rule and Gauss Elimination Method | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 12 | Eigenvalue problems | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 13 | Eigenvalue Problems 2 | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 14 | Vectors | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 15 | Examples Related to Vectors | Repeat the previous lesson | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 16 | Term Exams | Repeat the previous lesson | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Repeat the previous lesson | 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) | 13 | 4 | 52 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 122 | ||
| Total Workload / 25 (h) | 4,88 | ||
| ECTS | 5 ECTS | ||