ELECTRIC-ELECTRONIC ENGINEERING (ENGLISH, NON-THESIS) | |||||
Master | TR-NQF-HE: Level 7 | QF-EHEA: Second Cycle | EQF-LLL: Level 7 |
Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
INE5110 | Probabilistic Models and Applications | Fall Spring |
3 | 0 | 3 | 8 |
This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester. |
Language of instruction: | English |
Type of course: | Departmental Elective |
Course Level: | |
Mode of Delivery: | Face to face |
Course Coordinator : | Dr. Öğr. Üyesi ETHEM ÇANAKOĞLU |
Course Lecturer(s): |
Dr. Öğr. Üyesi ETHEM ÇANAKOĞLU |
Recommended Optional Program Components: | N.A. |
Course Objectives: | The objective of this course is to develop and extend the knowledge of mathematical techniques underlying the application of probability theory to well known engineering and operations research problems. This Ms level course is intended to cover stochastic models such as probability theory, random numbers, conditional probability, Markov processes, and Poisson processes. |
The students who have succeeded in this course; I. Identify the nature of probability models. II. Develop a model for a probabilistic real-life problem. III. Solve a constructed probabilistic model analytically. IV. Analyze stochastic processes in real-life. |
This course is offered in the Industrial Engineering master curriculum as a must course where the basic and fundamental knowledge of stochastic processes are given. After gaining knowledge of these topics, the students will be able to explore research and to do master theses related with both the theory and applications of the probabilistic models covered in this course. |
Week | Subject | Related Preparation |
1) | Introduction | |
2) | Random Variables | |
3) | Jointly Distributed Random Variables | |
4) | Conditional Probability | |
5) | Conditional Conditional Expectation | |
6) | Markov Chains | |
7) | Limiting Probabilities of Markov Chains | |
8) | Applications of Markov Chains | |
9) | Midterm Exam | |
10) | Exponential Distribution | |
11) | Poisson Process | |
12) | Markov Process | |
13) | Limiting Probabilities of Markov Process | |
14) | Queuing Theory | |
15) | Final exam preparation | |
16) | Final Exam |
Course Notes / Textbooks: | Introduction to Probability Models, 10th ed. Sheldon M. Ross. Academic Press, 2010 978-0-12-375686-2 |
References: | Stochastic Processes, 2nd ed. Sheldon M. Ross. Wiley, 1996 0-471-12062-6 |
Semester Requirements | Number of Activities | Level of Contribution |
Quizzes | 2 | % 20 |
Homework Assignments | 5 | % 15 |
Midterms | 1 | % 25 |
Final | 1 | % 40 |
Total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 60 | |
PERCENTAGE OF FINAL WORK | % 40 | |
Total | % 100 |
Activities | Number of Activities | Workload |
Course Hours | 13 | 37 |
Study Hours Out of Class | 15 | 104 |
Homework Assignments | 5 | 40 |
Quizzes | 2 | 2 |
Midterms | 1 | 3 |
Final | 1 | 3 |
Total Workload | 189 |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Have sufficient background and an ability to apply knowledge of mathematics, science, and engineering to identify, formulate, and solve problems of electrical and electronics engineering. | |
2) | Be able to define, formulate and solve sophisticated engineering problems by choosing and applying appropriate analysis and modeling techniques and using technical symbols and drawings of electrical and electronics engineering for design, application and communication effectively. | |
3) | Have an ability to design or implement an existing design of a system, component, or process to meet desired needs within realistic constraints (realistic constraints may include economic, environmental, social, political, health and safety, manufacturability, and sustainability issues depending on the nature of the specific design). | |
4) | Elektrik ve elektronik mühendisliği yapabilmek ve yeni uygulamalara uyum gösterebilmek için gerekli yenilikçi ve güncel teknikler, beceriler, bilgi teknolojileri ve modern mühendislik araçlarını geliştirmek, seçmek, uyarlamak ve kullanmak. | |
5) | Be able to design and conduct experiments, as well as to collect, analyze, and interpret relevant data, and use this information to improve designs. | |
6) | Be able to function individually as well as to collaborate with others in multidisciplinary teams. | |
7) | Be able to communicate effectively in English and Turkish (if he/she is a Turkish citizen). | |
8) | Be able to recognize the need for, and to engage in life-long learning as well as a capacity to adapt to changes in the technological environment. | |
9) | Have a consciousness of professional and ethical responsibilities as well as workers’ health, environment and work safety. | |
10) | Have the knowledge of business practices such as project, risk, management and an awareness of entrepreneurship, innovativeness, and sustainable development. | |
11) | Have the broad knowledge necessary to understand the impact of electrical and electronics engineering solutions in a global, economic, environmental, legal, and societal context. |