| Course Name |
Probability for Engineers
|
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
MATH 240
|
Fall
|
3
|
0
|
3
|
6
|
| Prerequisites |
|
|||||||
| Course Language |
English
|
|||||||
| Course Type |
Required
|
|||||||
| Course Level |
First Cycle
|
|||||||
| Mode of Delivery | - | |||||||
| Teaching Methods and Techniques of the Course | Lecture / Presentation | |||||||
| National Occupation Classification | - | |||||||
| Course Coordinator | ||||||||
| Course Lecturer(s) | ||||||||
| Assistant(s) | ||||||||
| Course Objectives | This course aims to introduce students the theory of probability and its applications to engineering problems. |
| Learning Outcomes |
The students who succeeded in this course;
|
| Course Description | In this course some important theorems about probability are investigated. In addition, applications of random variables and their probability distributions are discussed. |
| Related Sustainable Development Goals |
|
|
|
Core Courses | |
| Major Area Courses | ||
| Supportive Courses | ||
| Media and Management Skills Courses | ||
| Transferable Skill Courses |
| Week | Subjects | Related Preparation |
| 1 | Sample Spaces, Events & Counting | Douglas C. Montgomery, George C. Runger, “Probability”, Chapter 2, Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 18-25. Sections: 2.1–2.2. |
| 2 | Combinations & the First Probability Rules | Douglas C. Montgomery, George C. Runger, “Probability”, Chapter 2, Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 23-33. Sections: 2.2–2.5 |
| 3 | Independence, Reliability & Bayes | Douglas C. Montgomery, George C. Runger, “Probability”, Chapter 2, Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 34-39. Sections: 2.6–2.8 |
| 4 | Random Variables, PMF & CDF | Douglas C. Montgomery, George C. Runger, “Probability”, Chapter 2, Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 40. Douglas C. Montgomery, George C. Runger, “Discrete Random Variables and Probability Distributions”, Chapter 3, Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 43-46. Sections: 2.9, 3.1–3.2 |
| 5 | Mean, Variance & the Named Distributions | Douglas C. Montgomery, George C. Runger, “Discrete Random Variables and Probability Distributions”, Chapter 3, Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 47-62. Sections: 3.3–3.7 |
| 6 | Poisson & the Continuous Half | Douglas C. Montgomery, George C. Runger, “Discrete Random Variables and Probability Distributions”, Chapter 3, Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 63-64. Douglas C. Montgomery, George C. Runger, “Continuous Random Variables and Probability Distributions”, Chapter 4, Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 67-71. Sections: 3.8, 4.1–4.3 |
| 7 | The Uniform & the Normal | Douglas C. Montgomery, George C. Runger, “Continuous Random Variables and Probability Distributions”, Chapter 4, Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 72-78. Sections: 4.4–4.5 |
| 8 | Midterm Exam | |
| 9 | The Normal Approximation | Douglas C. Montgomery, George C. Runger, “Continuous Random Variables and Probability Distributions”, Chapter 4, Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 79-82. Sections: 4.6 |
| 10 | The Exponential Distribution | Douglas C. Montgomery, George C. Runger, “Continuous Random Variables and Probability Distributions”, Chapter 4, Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 83-85. Sections: 4.7 |
| 11 | Joint Distributions | Douglas C. Montgomery, George C. Runger, “Joint Probability Distributions”, Chapter 5, Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 96-101. Sections: 5.1 |
| 12 | Conditional Distributions & Independence | Douglas C. Montgomery, George C. Runger, “Joint Probability Distributions”, Chapter 5, Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 102-106. Sections: 5.2 |
| 13 | Covariance & Correlation | Douglas C. Montgomery, George C. Runger, “Joint Probability Distributions”, Chapter 5, Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 110-112. Sections: 5.4 |
| 14 | Sums of Random Variables & the Multinomial | Douglas C. Montgomery, George C. Runger, “Joint Probability Distributions”, Chapter 5, Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 113-114, 117-119. Sections: 5.6, 5.5.1 |
| 15 | Moment-Generating Functions & the Close of the Term | Douglas C. Montgomery, George C. Runger, “Joint Probability Distributions”, Chapter 5, Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 121-124. Sections: 5.8 |
| 16 | Final Exam | The whole term; weighted towards the material after the midterm |
| Course Notes/Textbooks | Douglas C. Montgomery, Geroge C. Runger, Applied Statistics and Probability for Engineers, 7th Ed. (United States of America: Wiley, 2018). ISBN: 978-1-119-40036-3 |
| Suggested Readings/Materials |
Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye, Probability and Statistics for Engineers and Scientists, 9th Edition (United States of America: Pearson, 2017). ISBN-13: 978-0321629111 William Navidi, Statistics for Engineers and Scientists, 5th Ed. (United States of America: Mc-Graw Hill, 2019) ISBN-13: 978-1260547887 |
| Semester Activities | Number | Weigthing |
| Participation | ||
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques |
4
|
20
|
| Portfolio | ||
| Homework / Assignments | ||
| Presentation / Jury | ||
| Project | ||
| Seminar / Workshop | ||
| Oral Exams | ||
| Midterm |
1
|
30
|
| Final Exam |
1
|
50
|
| Total |
| Weighting of Semester Activities on the Final Grade |
5
|
50
|
| Weighting of End-of-Semester Activities on the Final Grade |
1
|
50
|
| Total |
| 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 |
14
|
3
|
42
|
| Field Work |
0
|
||
| Quizzes / Studio Critiques |
4
|
2
|
8
|
| Portfolio |
0
|
||
| Homework / Assignments |
0
|
||
| Presentation / Jury |
0
|
||
| Project |
0
|
||
| Seminar / Workshop |
0
|
||
| Oral Exam |
0
|
||
| Midterms |
1
|
36
|
36
|
| Final Exam |
1
|
46
|
46
|
| Total |
180
|
|
#
|
Program Competencies/Outcomes |
* Contribution Level
|
|||||
|
1
|
2
|
3
|
4
|
5
|
|||
| 1 |
To have adequate knowledge in Mathematics, Science and Industrial Engineering; to be able to use theoretical and applied information in these areas to model and solve Industrial Engineering problems. |
-
|
-
|
X
|
-
|
-
|
|
| 2 |
To be able to identify, formulate and solve complex Industrial Engineering problems by using state-of-the-art methods, techniques and equipment; to be able to select and apply proper analysis and modeling methods for this purpose. |
-
|
-
|
-
|
-
|
-
|
|
| 3 |
To be able to analyze a complex system, process, device or product, and to design with realistic limitations to meet the requirements using modern design techniques. |
-
|
-
|
-
|
-
|
-
|
|
| 4 |
To be able to choose and use the required modern techniques and tools for Industrial Engineering applications; to be able to use information technologies efficiently. |
-
|
-
|
X
|
-
|
-
|
|
| 5 |
To be able to design and do simulation and/or experiment, collect and analyze data and interpret the results for investigating Industrial Engineering problems and Industrial Engineering related research areas. |
-
|
-
|
-
|
-
|
-
|
|
| 6 |
To be able to work efficiently in Industrial Engineering disciplinary and multidisciplinary 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 contemporary issues and the global and societal effects of Industrial Engineering practices on health, environment, and safety; to be aware of the legal consequences of Industrial Engineering solutions. |
-
|
-
|
-
|
-
|
-
|
|
| 9 |
To be aware of professional and ethical responsibility; to have knowledge of the standards used in Industrial Engineering practice. |
-
|
-
|
-
|
-
|
-
|
|
| 10 |
To have knowledge about business life practices such as project management, risk management, and change management; to be aware of entrepreneurship and innovation; to have knowledge about sustainable development. |
-
|
-
|
-
|
-
|
-
|
|
| 11 |
To be able to collect data in the area of Industrial Engineering; to be able to communicate with colleagues in a foreign language. |
-
|
-
|
-
|
-
|
-
|
|
| 12 |
To be able to speak a second foreign 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 Industrial Engineering. |
-
|
-
|
-
|
-
|
-
|
|
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
As Izmir University of Economics transforms into a world-class university, it also raises successful young people with global competence.
More..Izmir University of Economics produces qualified knowledge and competent technologies.
More..Izmir University of Economics sees producing social benefit as its reason for existence.
More..