TÜRKÇE
ENGLISH
Information
| Code | CEN125 |
| Name | Linear Algebra |
| Term | 2024-2025 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 3-1 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. YILMAZ DURĞUN |
| Course Instructor |
Sibel DOĞRU AKGÖL
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The aim of this course is to enrich the knowledge of engineering students about linear algebra and to teach the fundamentals and applications of solution methods for systems of linear equations that arise in solving engineering problems.
Course Content
Linear equations and matrices, determinants, vector spaces, inner product spaces, linear transformations, eigenvalues and eigenvectors.
Course Precondition
None
Resources
Elementary Linear Algebra 8th Edition by Ron Larson
Notes
Elementary Linear Algebra: Applications Version 2019,Howard Anton , Chris Rorres, Anton Kaul
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | To understand matrices, linear systems of equations, determinants, and vector spaces |
| LO02 | To learn of the application areas matrices and determinants. |
| LO03 | To learn how to solve systems of linear equations. |
| LO04 | Learns the mathematical and physical meaning of base and dimension concepts. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Adequate knowledge of mathematics, science and related engineering disciplines; ability to use theoretical and applied knowledge in these fields in solving complex engineering problems. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Ability to identify, formulate and solve complex engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose. | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; ability to apply modern design methods for this purpose. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice; ability to use information technologies effectively. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Ability to work effectively in interdisciplinary and multidisciplinary teams; individual working skills. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Ability to communicate effectively verbally and in writing; knowledge of at least one foreign language; ability to write effective reports and understand written reports, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions. | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Awareness of the necessity of lifelong learning; ability to access information, follow developments in science and technology, and constantly renew oneself. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Knowledge of ethical principles, professional and ethical responsibility, and standards used in engineering practice. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; knowledge of sustainable development. | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Knowledge of the effects of engineering practices on health, environment and safety in universal and social dimensions and the problems of the age reflected in the field of engineering; awareness of the legal consequences of engineering solutions. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Systems of Linear Equations, Matrices | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 2 | Matrix operations | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 3 | Special Matrices | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 4 | Elementary row and column operations and applications | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 5 | Gauss Elimination Method | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 6 | Determinants and Cofactor Expansion | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 7 | Cramer's Rule | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Reading the lecture notes | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Vector Spaces | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 10 | Spanning Sets and Linear Independence | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 11 | Basis and Dimension | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 12 | Homogeneous Systems and Isomorphisms | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 13 | Rank of a matrix, Nullspace, Column and row spaces | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 14 | Inner Product Spaces, Gram Schmidt Process | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 15 | Eigenvalues and Eigenvectors, Diagonalization | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 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 | 4 | 56 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 1 | 1 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 123 | ||
| Total Workload / 25 (h) | 4,92 | ||
| ECTS | 5 ECTS | ||