FACULTY OF ENGINEERING
Department of Mechatronics Engineering
IE 341 | Course Introduction and Application Information
Course Name |
Introduction to Stochastic Processes
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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
|
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Course Type |
Service Course
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Course Level |
First Cycle
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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;
|
Course Description | The purpose of this course is to introduce students to the basic stochastic processes that are widely used in operations research and industrial engineering. 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. |
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Core Courses | |
Major Area Courses | ||
Supportive Courses | ||
Media and Management Skills Courses | ||
Transferable Skill Courses |
WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
Week | Subjects | Related Preparation |
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 | Review of the Semester |
Course Notes/Textbooks | HM. Taylor, S. Karlin, An Introduction to Stochastic Modeling, Wiley, 1998. |
Suggested Readings/Materials |
EVALUATION SYSTEM
Semester Activities | Number | Weigthing |
Participation |
1
|
10
|
Laboratory / Application | ||
Field Work | ||
Quizzes / Studio Critiques | ||
Portfolio | ||
Homework / Assignments |
3
|
10
|
Presentation / Jury | ||
Project | ||
Seminar / Workshop | ||
Oral Exams | ||
Midterm |
1
|
40
|
Final Exam |
1
|
40
|
Total |
Weighting of Semester Activities on the Final Grade |
60
|
|
Weighting of End-of-Semester Activities on the Final Grade |
40
|
|
Total |
ECTS / WORKLOAD TABLE
Semester Activities | Number | Duration (Hours) | Workload |
---|---|---|---|
Theoretical Course Hours (Including exam week: 16 x total hours) |
16
|
3
|
48
|
Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
0
|
|
Study Hours Out of Class |
15
|
4
|
60
|
Field Work |
0
|
||
Quizzes / Studio Critiques |
0
|
||
Portfolio |
0
|
||
Homework / Assignments |
3
|
10
|
30
|
Presentation / Jury |
0
|
||
Project |
0
|
||
Seminar / Workshop |
0
|
||
Oral Exam |
0
|
||
Midterms |
1
|
10
|
10
|
Final Exam |
1
|
22
|
22
|
Total |
170
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
#
|
Program Competencies/Outcomes |
* Contribution Level
|
||||
1
|
2
|
3
|
4
|
5
|
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1 | To have knowledge in Mathematics, science, physics knowledge based on mathematics; mathematics with multiple variables, differential equations, statistics, optimization and linear algebra; to be able to use theoretical and applied knowledge in complex engineering problems |
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2 | To be able to identify, define, formulate, and solve complex mechatronics engineering problems; to be able to select and apply appropriate analysis and modeling methods for this purpose. |
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3 | To be able to design a complex electromechanical system, process, device or product with sensor, actuator, control, hardware, and software to meet specific requirements under realistic constraints and conditions; to be able to apply modern design methods for this purpose. |
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4 | To be able to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in Mechatronics Engineering applications; to be able to use information technologies effectively. |
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5 | To be able to design, conduct experiments, collect data, analyze and interpret results for investigating Mechatronics Engineering problems. |
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6 | To be able to work effectively in Mechatronics Engineering disciplinary and multidisciplinary teams; to be able to work individually. |
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7 | To be able to communicate effectively in Turkish, both in oral and written forms; 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. |
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8 | To have knowledge about global and social impact of 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 engineering solutions. |
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9 | To be aware of ethical behavior, professional and ethical responsibility; information on standards used in engineering applications. |
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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. |
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11 | Using a foreign language, he collects information about Mechatronics Engineering and communicates with his colleagues. ("European Language Portfolio Global Scale", Level B1) |
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12 | To be able to use the second foreign language at intermediate level. |
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13 | To recognize the need for lifelong learning; to be able to access information; to be able to follow developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Mechatronics Engineering. |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest