| Information Systems Engineering | |||||
| Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 | ||
| Course Code: | FEC207 | ||||||||
| Ders İsmi: | Linear Algebra | ||||||||
| Ders Yarıyılı: | Fall | ||||||||
| Ders Kredileri: |
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| Language of instruction: | Turkish | ||||||||
| Ders Koşulu: | |||||||||
| Ders İş Deneyimini Gerektiriyor mu?: | Yes | ||||||||
| Type of course: | Required | ||||||||
| Course Level: |
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| Mode of Delivery: | Face to face | ||||||||
| Course Coordinator : | Assoc. Prof. Dr. MERVE ERSOY | ||||||||
| Course Lecturer(s): |
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| Course Assistants: |
| Course Objectives: | To learn the basics of Linear Algebra and to use this knowledge in solving engineering problems. |
| Course Content: | In this course, the general concepts of linear algebra are examined under the following topics: Systems of linear equations and matrices, Gaussian elimination method, matrix algebra, inverse of a matrix, elementary matrices, LU decomposition, determinant of a square matrix, properties of determinant, Cramer's rule, vector spaces, sub-spaces. spaces, linear independence, basis and dimension, base change, inner product spaces, orthonormal basis, linear transformations, matrix representation of linear transformation, eigenvalues and eigenvectors, diagonalization. |
The students who have succeeded in this course;
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| Week | Subject | Related Preparation |
| 1) | Matrices and systems of linear equations | Lecture Notes |
| 2) | Matrices and systems of linear equations | Lecture Notes |
| 3) | Matrices and systems of linear equations | Lecture Notes |
| 4) | Matrices and systems of linear equations | Lecture Notes |
| 5) | Determinants | Lecture Notes |
| 6) | Determinants | Lecture Notes |
| 7) | Vector spaces | Lecture Notes |
| 8) | Mid term | Lecture Notes |
| 9) | Vector spaces | Lecture Notes |
| 10) | Inner product spaces | Lecture Notes |
| 11) | Linear transformations | Lecture Notes |
| 12) | Linear transformations | Lecture Notes |
| 13) | Eigenvalues and eigenvectors | Lecture Notes |
| 14) | Eigenvalues and eigenvectors | Lecture Notes |
| 15) | Final | Lecture Notes |
| Course Notes / Textbooks: | Linear Algebra and Its Applications, 5th edition/Global edition, David C. Lay et al., Pearson, 2016. Elementary Linear Algebra, Cengage Learning, 7th or 8th edition, Ron Larson, (e-book or hardcopy). |
| References: | 1. Linear Algebra By MIT Open Courseware 2. Coding The Matrix By Philip Klein 3. Linear Algebra for Machine Learning By Applied AI Course 4. Deep Learning Book By Ian Goodfellow and Yoshua Bengio and Aaron Courville 5. Computational Linear Algebra for Coders By fast.ai 6. Basic Linear Algebra for Deep Learning By Niklas Donges 7. Linear Algebra By Khan Academy |
| Ders Öğrenme Kazanımları | 1 |
2 |
4 |
5 |
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| Program Outcomes | ||||||||||||||||||||||||
| 1) Adequate knowledge in the fields of mathematics and science; ability to use theoretical and practical knowledge in these fields | ||||||||||||||||||||||||
| 2) Adequate knowledge in subjects specific to the relevant engineering discipline; ability to use theoretical and applied knowledge in these areas to solve complex engineering problems. | ||||||||||||||||||||||||
| 3) Ability to identify, formulate and solve complex engineering problems. | ||||||||||||||||||||||||
| 4) Ability to select and apply appropriate analysis and modeling methods to complex engineering problems. | ||||||||||||||||||||||||
| 5) The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements. | ||||||||||||||||||||||||
| 6) Ability to apply modern design methods to design a complex system, process, device or product. | ||||||||||||||||||||||||
| 7) Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice. | ||||||||||||||||||||||||
| 8) Ability to use information technologies effectively to analyze and solve complex problems encountered in engineering applications. | ||||||||||||||||||||||||
| 9) Ability to design and conduct experiments to investigate complex engineering problems or discipline-specific research topics. | ||||||||||||||||||||||||
| 10) Ability to collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics. | ||||||||||||||||||||||||
| 11) Ability to work effectively in disciplinary teams. | ||||||||||||||||||||||||
| 12) Ability to work effectively in multidisciplinary teams. | ||||||||||||||||||||||||
| 13) Ability to work individually. | ||||||||||||||||||||||||
| 14) Ability to communicate effectively both orally and in writing. | ||||||||||||||||||||||||
| 15) Knowledge of at least one foreign language. | ||||||||||||||||||||||||
| 16) Effective report writing and comprehension of written reports, ability to prepare design and production reports. | ||||||||||||||||||||||||
| 17) Ability to make effective presentations, give and receive clear and understandable instructions. | ||||||||||||||||||||||||
| 18) Awareness of the necessity of lifelong learning. | ||||||||||||||||||||||||
| 19) Ability to access information, to follow developments in science and technology and to continuously renew oneself. | ||||||||||||||||||||||||
| 20) Knowledge about acting in accordance with ethical principles, professional and ethical responsibility and standards used in engineering practices. | ||||||||||||||||||||||||
| 21) Knowledge of business practices such as project management, risk management and change management. | ||||||||||||||||||||||||
| 22) Awareness about entrepreneurship and innovation. | ||||||||||||||||||||||||
| 23) Knowledge about sustainable development. | ||||||||||||||||||||||||
| 24) Knowledge about the effects of engineering applications on health, environment and safety in universal and social dimensions and the problems of the era reflected in the field of engineering. | ||||||||||||||||||||||||
| 25) Awareness of the legal implications of engineering solutions. | ||||||||||||||||||||||||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution | |
| 1) | Adequate knowledge in the fields of mathematics and science; ability to use theoretical and practical knowledge in these fields | 5 |
| 2) | Adequate knowledge in subjects specific to the relevant engineering discipline; ability to use theoretical and applied knowledge in these areas to solve complex engineering problems. | 5 |
| 3) | Ability to identify, formulate and solve complex engineering problems. | 4 |
| 4) | Ability to select and apply appropriate analysis and modeling methods to complex engineering problems. | 4 |
| 5) | The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements. | |
| 6) | Ability to apply modern design methods to design a complex system, process, device or product. | |
| 7) | Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice. | |
| 8) | Ability to use information technologies effectively to analyze and solve complex problems encountered in engineering applications. | |
| 9) | Ability to design and conduct experiments to investigate complex engineering problems or discipline-specific research topics. | |
| 10) | Ability to collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics. | |
| 11) | Ability to work effectively in disciplinary teams. | |
| 12) | Ability to work effectively in multidisciplinary teams. | |
| 13) | Ability to work individually. | |
| 14) | Ability to communicate effectively both orally and in writing. | |
| 15) | Knowledge of at least one foreign language. | |
| 16) | Effective report writing and comprehension of written reports, ability to prepare design and production reports. | |
| 17) | Ability to make effective presentations, give and receive clear and understandable instructions. | |
| 18) | Awareness of the necessity of lifelong learning. | |
| 19) | Ability to access information, to follow developments in science and technology and to continuously renew oneself. | |
| 20) | Knowledge about acting in accordance with ethical principles, professional and ethical responsibility and standards used in engineering practices. | |
| 21) | Knowledge of business practices such as project management, risk management and change management. | |
| 22) | Awareness about entrepreneurship and innovation. | |
| 23) | Knowledge about sustainable development. | |
| 24) | Knowledge about the effects of engineering applications on health, environment and safety in universal and social dimensions and the problems of the era reflected in the field of engineering. | |
| 25) | Awareness of the legal implications of engineering solutions. |
| Semester Requirements | Number of Activities | Level of Contribution |
| Midterms | 1 | % 50 |
| Final | 1 | % 50 |
| total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 50 | |
| PERCENTAGE OF FINAL WORK | % 50 | |
| total | % 100 | |