| Course Name | Introduction to Stochastic Processes |
| Code | Semester | Theory (hour/week) | Application/Lab (hour/week) | Local Credits | ECTS |
|---|---|---|---|---|---|
| IE 341 | Fall/Spring | 3 | 0 | 3 | 6 |
| Prerequisites |
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| Course Language | English | ||||||||
| Course Type | Elective | ||||||||
| Course Level | First Cycle | ||||||||
| Mode of Delivery | - | ||||||||
| Teaching Methods and Techniques of the Course | - | ||||||||
| Course Coordinator | - | ||||||||
| Course Lecturer(s) | - | ||||||||
| Assistant(s) | - | ||||||||
| Course Objectives | The purpose of this course is to introduce students to the basic stochastic processes that are widely used in operations research and industrial engineering. |
| Learning Outcomes | The students who succeeded in this course;
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| Course Description | The course basically covers discrete state space stochastic processes. The emphasis will be on understanding and applying the machinery of stochastic processes as well as developing a sense for stochastic modeling. Upon the completion of the course, students should be ready to work with and develop stochastic models in various contexts. |
| Related Sustainable Development Goals | |
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| Core Courses | |
| Major Area Courses | X | |
| Supportive Courses | ||
| Media and Managment Skills Courses | ||
| Transferable Skill Courses |
| Week | Subjects | Required Materials |
| 1 | Probability Review | Ch 1 HM. Taylor, S. Karlin, An Introduction to Stochastic Modeling, Wiley, 1998. |
| 2 | Conditional Probability and Conditional Expectation | Ch 2 HM. Taylor, S. Karlin, An Introduction to Stochastic Modeling, Wiley, 1998. |
| 3 | Conditional Probability and Conditional Expectation | Ch 2 HM. Taylor, S. Karlin, An Introduction to Stochastic Modeling, Wiley, 1998. |
| 4 | Markov Chains | Ch 3 HM. Taylor, S. Karlin, An Introduction to Stochastic Modeling, Wiley, 1998. |
| 5 | Markov Chains | Ch 3 HM. Taylor, S. Karlin, An Introduction to Stochastic Modeling, Wiley, 1998. |
| 6 | LongRun Behavior of Markov Chains | Ch 4 HM. Taylor, S. Karlin, An Introduction to Stochastic Modeling, Wiley, 1998. |
| 7 | Review and Midterm Exam | |
| 8 | LongRun Behavior of Markov Chains | Ch 4 HM. Taylor, S. Karlin, An Introduction to Stochastic Modeling, Wiley, 1998. |
| 9 | Poisson Processes | Ch 5 HM. Taylor, S. Karlin, An Introduction to Stochastic Modeling, Wiley, 1998. |
| 10 | Poisson Processes | Ch 5 HM. Taylor, S. Karlin, An Introduction to Stochastic Modeling, Wiley, 1998. |
| 11 | ContinuousTime Markov Chains | Ch 6 HM. Taylor, S. Karlin, An Introduction to Stochastic Modeling, Wiley, 1998. |
| 12 | ContinuousTime Markov Chains | Ch 6 HM. Taylor, S. Karlin, An Introduction to Stochastic Modeling, Wiley, 1998. |
| 13 | Renewal Phenomena | Ch 7 HM. Taylor, S. Karlin, An Introduction to Stochastic Modeling, Wiley, 1998. |
| 14 | Renewal Phenomena | Ch 7 HM. Taylor, S. Karlin, An Introduction to Stochastic Modeling, Wiley, 1998. |
| 15 | General review and evaluation | |
| 16 | General review and evaluation |
| Course Notes/Textbooks | HM. Taylor, S. Karlin, An Introduction to Stochastic Modeling, Wiley, 1998. |
| Suggested Readings/Materials |
| Semester Activities | Number | Weighting |
| Participation | 1 | 10 |
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques | ||
| Portfolio | ||
| Homework / Assignments | 3 | 10 |
| Presentation / Jury | ||
| Project | ||
| Seminar / Workshop | ||
| Oral Exam | ||
| Midterm | 1 | 40 |
| Final Exam | 1 | 40 |
| Total |
| Weighting of Semester Activities on the Final Grade | 5 | 60 |
| Weighting of End-of-Semester Activities on the Final Grade | 1 | 40 |
| Total |
| Semester Activities | Number | Duration (Hours) | Workload |
|---|---|---|---|
| Course Hours (Including exam week: 16 x total hours) | 16 | 3 | 48 |
| Laboratory / Application Hours (Including exam week: 16 x total hours) | 16 | ||
| Study Hours Out of Class | 14 | 4 | 56 |
| Field Work | |||
| Quizzes / Studio Critiques | |||
| Portfolio | |||
| Homework / Assignments | 3 | 12 | |
| Presentation / Jury | |||
| Project | |||
| Seminar / Workshop | |||
| Oral Exam | |||
| Midterms | 1 | 17 | |
| Final Exams | 1 | 23 | |
| Total | 180 |
| # | Program Competencies/Outcomes | * Contribution Level | ||||
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | To have adequate knowledge in Mathematics, Science and Computer Engineering; to be able to use theoretical and applied information in these areas on complex engineering problems. | |||||
| 2 | To be able to identify, define, formulate, and solve complex Computer Engineering problems; to be able to select and apply proper analysis and modeling methods for this purpose. | |||||
| 3 | To be able to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the requirements; to be able to apply modern design methods for this purpose. | |||||
| 4 | To be able to devise, select, and use modern techniques and tools needed for analysis and solution of complex problems in Computer Engineering applications; to be able to use information technologies effectively. | |||||
| 5 | To be able to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or Computer Engineering research topics. | |||||
| 6 | To be able to work efficiently in Computer Engineering disciplinary and multi-disciplinary teams; to be able to work individually. | |||||
| 7 | To be able to communicate effectively in Turkish, both orally and in writing; to be able to author and comprehend written reports, to be able to prepare design and implementation reports, to present effectively, to be able to give and receive clear and comprehensible instructions. | |||||
| 8 | To have knowledge about global and social impact of Computer Engineering practices on health, environment, and safety; to have knowledge about contemporary issues as they pertain to engineering; to be aware of the legal ramifications of Computer Engineering solutions. | |||||
| 9 | To be aware of ethical behavior, professional and ethical responsibility; to have knowledge about standards utilized in engineering applications. | |||||
| 10 | To have knowledge about industrial practices such as project management, risk management, and change management; to have awareness of entrepreneurship and innovation; to have knowledge about sustainable development. | |||||
| 11 | To be able to collect data in the area of Computer Engineering, and to be able to communicate with colleagues in a foreign language. ("European Language Portfolio Global Scale", Level B1) | |||||
| 12 | To be able to speak a second foreign language at a medium level of fluency efficiently. | |||||
| 13 | To recognize the need for lifelong learning; to be able to access information, to be able to stay current with developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Computer Engineering. | |||||
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
