TÜRKÇE
ENGLISH
Information
| Code | EEE118 |
| Name | Linear Algebra and Vectors |
| Semester | 2. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. MUSTAFA KEREM ÜN |
Course Goal
To teach the student matrix and vector algebra, linear independence and solution of linear systems of equations.
Course Content
Introduction to matrices, matrix algebra. Solution of linear systems of equations with Gaussian elimination. Vector spaces, linear independence, rank of a matrix. Fundamental theorem of linear equations, finding inverse with Gauss-Jordan elimination. Determinants, Cramers rule. Eigenvalues and eigenvectors, similar matrices, similarity transformations. Vectors and vector algbera. Vector analytical geometry, line and plane equations. Vector functions. Gradient, directional derivative, divergence and curl.
Course Precondition
None.
Resources
Calculus - G. Thomas
Notes
None.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Grasps matrix and vector algebra. |
| LO02 | Calculates determinants and eigenvalues |
| LO03 | Solves linear systems of equations |
| LO04 | Analyzes vector functions. |
| LO05 | Calculates gradient, directional derivative, curl and divergence. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in complex engineering problems. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose. | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Ability to devise, select, and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ computer programming techniques, and information technologies effectively. | 5 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development. | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions. | |
| PLO12 | Bilgi - Kuramsal, Olgusal | Ability to apply the knowledge of electrical-electronics engineering to profession-specific tools and devices. | 1 |
| PLO13 | Bilgi - Kuramsal, Olgusal | Having consciousness about the scientific, social, historical, economical and political facts of the society, world and age lived in. | 1 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to matrices and linear systems of equations | None. | Öğretim Yöntemleri: Anlatım |
| 2 | Matrix algebra, transpose and inverse of a matrix | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 3 | Solution of linear systems with Gaussian elimination | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 4 | Linear independence, rank of a mtarix | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 5 | Fundamental theorem of linear systems, finding inverse through Gauss-Jordan elimination | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 6 | Determinants, Cramer Rule | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 7 | Eigenvalues | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Review of the material of covered sofar | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Similar matrices and diagonalization | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 10 | Introduction to vectors, vector algebra, vector products | No preparation necessary | Öğretim Yöntemleri: Anlatım |
| 11 | Analytical geometry with vectors, line and plane equations | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 12 | Vector functions and their analysis | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 13 | Gradient and directional derivative | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 14 | Curl and divergence | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 15 | Review | Review of the material of the previous lecture | Öğretim Yöntemleri: Anlatım |
| 16 | Term Exams | Review of the entire lecture material | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Review of the entire lecture material | 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 | 8 | 8 |
| Final Exam | 1 | 14 | 14 |
| Total Workload (Hour) | 92 | ||
| Total Workload / 25 (h) | 3,68 | ||
| ECTS | 4 ECTS | ||