# Introduction to Systems Analysis (EE504) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Introduction to Systems Analysis EE504 3 0 0 3 5
Pre-requisite Course(s)
None. However, a prior differential equations, signals and systems and/or a circuit theory course is recommended
Course Language English N/A Natural & Applied Sciences Master's Degree Face To Face Lecture, Discussion, Question and Answer, Problem Solving. Assoc. Prof. Dr. Reşat Özgür Doruk Teaching the graduate students of basic concepts such as basic linear algebra, linear system representations, analysis in Laplace, Z, Fourier and State-Space domains, transformation between continuous and discrete time systems. The students who succeeded in this course; Explain the general system concepts Distinguish linear and nonlinear systems Describe different linear system representations Model and analyze the systems represented in state space, Laplace and Z domains. Analyze the systems using Fourier analysis approaches. Use linear algebra methods in linear system analyses Interpret the relationships between continuous and discrete time systems. Able to do all the work related to this course in a computational environment such as MATLAB. Review of linear algebra concepts, classifications of systems and system representations, continuous and discrete time systems, state space realizations, analysis techniques: frequency domain, Laplace and z-domain analyses, solutions of linear systems, stability analysis; assessment of the techniques by a computational tool such as MATLAB.

### Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 Elementary matrix theory, Matrix addition and multiplication, Matrix and Vector multiplication, Properties of linear equations Review last week and Glance this week’s topics from the lecture
2 Vectors, Vector spaces, Linear dependence and independence, Basis concept, Linear spans, Normed vector spaces Glance this week’s topics from the lecture
3 Null and Range spaces of matrices, Eigenvalues, Eigenvectors, Diagonalization Review last week and Glance this week’s topics from the lecture
4 Singular Value Decomposition Glance the last weeks topics
5 MATLAB Session: Vectors and Matrices in MATLAB Review last week and Glance this week’s topics from the lecture
6 Introduction to Fourier, Laplace and Z-Transforms Review last week and Glance this week’s topics from the lecture
7 Continuous and Discrete Time systems, Transfer function representations Review last week and Glance this week’s topics from the lecture
8 MIDTERM-I (1 Hour MATLAB Exam+2 Hour Theoretical) Review last week and Glance this week’s topics from the lecture
9 Representation of linear systems in state space and transformation between transfer function and state space representations. Review last week and Glance this week’s topics from the lecture
10 Solutions of linear systems Review last week and Glance this week’s topics from the lecture
11 Analysis in Fourier Domain (Frequency response) Review last week and Glance this week’s topics from the lecture
12 Analysis in Fourier Domain (Frequency response) Review last week and Glance this week’s topics from the lecture
13 Connections to nonlinear systems, linearization and local stability Review last week and Glance this week’s topics from the lecture
14 Transformation between continuous and discrete time systems (s-to-z) Review last week and Glance this week’s topics from the lecture
15 The transformation between continuous and discrete time systems in state space. Review the last week's topics
16 MIDTERM-II (1 Hour MATLAB Exam+2 Hour Theoretical) Review last week and Glance this week’s topics from the lecture

### Sources

Course Book 1. Oppenheim, A. V., & Willsky, A. S. (1997). with SH Nawab, Signals and Systems. Prentice—Hall,, 1, 997. 2. Ogata, K. (1997). Modern Control Engineering (3rd Ed.). Prentice-Hall, Inc., Upper Saddle River, NJ, USA. 3. Ogata, K. (1995). Discrete-time control systems (Vol. 2). Englewood Cliffs, NJ: Prentice Hall. 4. Kuo, B. C. (1981). Automatic control systems. (8th ed.). John Wiley & Sons, Inc., New York, NY, USA. 5. Lipschutz, S., & Lipson, M. (2000). Schaum's Outline of Linear Algebra. McGraw Hill Professional. 6. Notes to be distributed by the instructor(s) of the course in class.

### Evaluation System

Attendance/Participation - -
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics - -
Homework Assignments - -
Presentation - -
Project - -
Report - -
Seminar - -
Midterms Exams/Midterms Jury 2 50
Final Exam/Final Jury 1 35
Toplam 3 85
 Percentage of Semester Work 65 35 100

### Course Category

Core Courses X

### The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 Accumulated knowledge on mathematics, science and mechatronics engineering; an ability to apply the theoretical and applied knowledge of mathematics, science and mechatronics engineering to model and analyze mechatronics engineering problems.
2 An ability to differentiate, identify, formulate, and solve complex engineering problems; an ability to select and implement proper analysis, modeling and implementation techniques for the identified engineering problems.
3 An ability to design a complex system, product, component or process to meet the requirements under realistic constraints and conditions; an ability to apply contemporary design methodologies; an ability to implement effective engineering creativity techniques in mechatronics engineering. (Realistic constraints and conditions may include economics, environment, sustainability, producibility, ethics, human health, social and political problems.)
4 An ability to develop, select and use modern techniques, skills and tools for application of mechatronics engineering and robot technologies; an ability to use information and communications technologies effectively.
5 An ability to design experiments, perform experiments, collect and analyze data and assess the results for investigated problems on mechatronics engineering and robot technologies.
6 An ability to work effectively on single disciplinary and multi-disciplinary teams; an ability for individual work; ability to communicate and collaborate/cooperate effectively with other disciplines and scientific/engineering domains or working areas, ability to work with other disciplines.
7 An ability to express creative and original concepts and ideas effectively in Turkish and English language, oral and written.
8 An ability to reach information on different subjects required by the wide spectrum of applications of mechatronics engineering, criticize, assess and improve the knowledge-base; consciousness on the necessity of improvement and sustainability as a result of life-long learning; monitoring the developments on science and technology; awareness on entrepreneurship, innovative and sustainable development and ability for continuous renovation.
9 Be conscious on professional and ethical responsibility, competency on improving professional consciousness and contributing to the improvement of profession itself.
10 A knowledge on the applications at business life such as project management, risk management and change management and competency on planning, managing and leadership activities on the development of capabilities of workers who are under his/her responsibility working around a project.
11 Knowledge about the global, societal and individual effects of mechatronics engineering applications on the human health, environment and security and cultural values and problems of the era; consciousness on these issues; awareness of legal results of engineering solutions.
12 Competency on defining, analyzing and surveying databases and other sources, proposing solutions based on research work and scientific results and communicate and publish numerical and conceptual solutions.
13 Consciousness on the environment and social responsibility, competencies on observation, improvement and modify and implementation of projects for the society and social relations and be an individual within the society in such a way that planing, improving or changing the norms with a criticism.
14 A competency on developing strategy, policy and application plans on the mechatronics engineering and evaluating the results in the context of qualitative processes.

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours) 16 3 48
Laboratory
Application
Special Course Internship
Field Work
Study Hours Out of Class 14 3 42
Presentation/Seminar Prepration
Project
Report
Homework Assignments
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury 2 10 20
Prepration of Final Exams/Final Jury 1 20 20