Ders Planı

Lesson Information

Course Credit
Course ECTS Credit
Teaching Language of Instruction	İngilizce
Level of Course	Bachelor's Degree, TYYÇ: Level 6, EQF-LLL: Level 6, QF-EHEA: First Cycle
Type of Course
Mode of Delivery	Face-to-face
Does the course require compulsory or optional work experience?
Course Coordinator
Instructor (s)
Course Assistant

Purpose and Content

The aim of the course	Many engineering problems can be analyzed and solved within the framework of system concept, which is a very fundamental notion in engineering. It is possible to classify systems into two main groups as liner and nonlinear although they may have many different properties and characteristics. Systems can be assumed as linear under certain conditions despite the fact that most of the systems are nonlinear. In this way, linear systems point of view can also be used in the analysis of nonlinear systems. In this course, the aim is to provide the necessary background for the students to be able to understand and solve the engineering problems by using the theory and methods developed for linear systems.
Course Content	Linear spaces. Change of basis. Linear operators. Range space and null space. Eigenvalues and eigenvectors. Jordan form representation. Function of a square matrix. Norms. Linear system description: input-output and state variable descriptions, time invariant and time varying systems. Modal decomposition. Equivalent (or similar) systems and equivalence (or similarity) transformation. Linear system analysis: controllability, observability and stability.

The aim of the course

Many engineering problems can be analyzed and solved within the framework of system concept, which is a very fundamental notion in engineering. It is possible to classify systems into two main groups as liner and nonlinear although they may have many different properties and characteristics. Systems can be assumed as linear under certain conditions despite the fact that most of the systems are nonlinear. In this way, linear systems point of view can also be used in the analysis of nonlinear systems. In this course, the aim is to provide the necessary background for the students to be able to understand and solve the engineering problems by using the theory and methods developed for linear systems.

Course Content

Linear spaces. Change of basis. Linear operators. Range space and null space. Eigenvalues and eigenvectors. Jordan form representation. Function of a square matrix. Norms. Linear system description: input-output and state variable descriptions, time invariant and time varying systems. Modal decomposition. Equivalent (or similar) systems and equivalence (or similarity) transformation. Linear system analysis: controllability, observability and stability.

Learning Outcomes

Mathematics , Science and sufficient knowledge in electrical engineering issues; theoretical and practical knowledge in the field of Electrical and Electronics Engineering the ability to apply for modeling and problem solving.
Ability to identify, define, formulate and solve complex engineering problems; ability to select and implement the appropriate analysis and modeling methods in this respect.
Ability to work effectively in interdisciplinary and multidisciplinary teams; ability to work individually .
Act according to ethical , professional and ethical responsibility about the standards used in electrical and electronic engineering applications
The ability to design to meet specific needs;complex system , process, device or product under realistic constraints and conditions , the ability to apply modern design methods for this purpose .
Awareness of the necessity of lifelong learning ; Access to knowledge, science and developments in technology and continuous self -improvement.
Awareness of universal and social dimensions of health electrical engineering applications , contemporary issues and their impact on the environment and safety ; awareness of the legal consequences of engineering solutions .
Ability to communicate effectively in Turkish, both oral and written, with at least one foreign language knowledge, ability to write effective reports and understand written reports, prepare design and production reports, make effective presentations, giving clear and concise instructions and receiving skills.
Information on project management and practices in business life such as risk management and change management; awareness about entrepreneurship, innovation and sustainable development.
Analyzing and solving using modern techniques and tools for complex problems encountered in the electrical and electronics application development , selection and use of skills , skills to use ICT effectively
Designing experiments for the study of electrical engineering problems , conduct experiments, collect data , analyze and interpret the results .
Awareness about occupational health and safety
Development and scientific publications of conciousness can be followed in the electrical and electronics engineering. Developed will be able to access the resources that it can meet the education requirements for the new system awareness.

Weekly Course Subjects

1	Linear spaces : field, linear space, subspace, span, linear independence, dimension, basis, change of basis.
2	Linear oprerators and representations of a linear operator.
3	Linear operators: range and null spaces, eigenvalues and eigenvectors, Jordan form representation.
4	Polynomial of a square matrix, minimal polynomial, function of a square matrix, norms and inner product.
5	Linear system description: input-output approach (for both time-invariant and time varying).
6	Linear system description: state variable approach (for both time-invariant and time varying).
7	Solution of dynamical equations, fundamental martix and state transition matrix.
8	Midterm Exam
9	Solution of dynamical equation, computation of eAt and (SI-A)-1, Faddeev algorithm, modal decomposition.
10	Equivalent (or similar) systems and equivalence (or similarity) transformation.
11	Linear system analysis: Controllability and observability.
12	Linear system analysis: Controllability and observability.
13	Linear system analysis: Stability.
14	Linear system analysis: Stability.

Resources

1-Chen C.T., Linear System Theory and Design, HRW, 1984.; 2. Kailath T., Linear Systems, Prentice Hall, 1980.; 3. Decarlo R.A., Linear Systems: A state variable approach with numerical; implementation, Prentice Hall, 1989.; 4. Rugh W.J., Linear System Theory, 2nd Ed., Prentice Hall, 1996.; 5. Brogan W.L., Modern Control Theory, 3rd Ed., Prentice Hall, 1991.

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Lesson Information

Purpose and Content

Learning Outcomes

Weekly Course Subjects

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