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 | ||||||||
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 Managment Skills Courses | ||
Transferable Skill Courses |
Week | Subjects | Required Materials |
1 | Sample space and events | Douglas C. Montgomery, Geroge C. Runger, “Probability”, Chap. 2 Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 18-23. |
2 | Events and counting sample points | Douglas C. Montgomery, Geroge C. Runger, “Probability”, Chap. 2 Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 21-26. |
3 | Counting sample points, probability of an event and additive rules | Douglas C. Montgomery, Geroge C. Runger, “Probability”, Chap. 2 Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 23-31. |
4 | Additive rules, conditional probability of an event | Douglas C. Montgomery, Geroge C. Runger, “Probability”, Chap. 2 Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 29-38. |
5 | Bayes’ rule | Douglas C. Montgomery, Geroge C. Runger, “Probability”, Chap. 2 Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 39-40. |
6 | Concept of random variable and discrete random variable | Douglas C. Montgomery, Geroge C. Runger, “Probability”, Chap. 2 and “Discrete random variable and Probability Distributions”, Chap. 3 Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 40-43. |
7 | Discrete probability distributions, expected value and variance of discrete random variable | Douglas C. Montgomery, Geroge C. Runger, “Discrete random variable and Probability Distributions”, Chap. 3 Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 43-49. |
8 | Uniform, Binomial, Negative Binomial, Hypergeometric, Poisson distributions | Douglas C. Montgomery, Geroge C. Runger, “Discrete random variable and Probability Distributions”, Chap. 3 Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 49-65. |
9 | Midterm Exam | - |
10 | Continuous probability distributions, expected value and variance of continuous random variable | Douglas C. Montgomery, Geroge C. Runger, “Continuous random variable and Probability Distributions”, Chap. 4 Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 67-72. |
11 | Uniform, Normal, areas under the normal curve, applications of the normal dist. and exponential distribution | Douglas C. Montgomery, Geroge C. Runger, “Continuous random variable and Probability Distributions”, Chap. 4 Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 73-86. |
12 | Joint probability distributions | Douglas C. Montgomery, Geroge C. Runger, “Joint Probability Distributions”, Chap. 5 Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 96-105. |
13 | Joint probability distributions, variance and covariance | Douglas C. Montgomery, Geroge C. Runger, “Joint Probability Distributions”, Chap. 5 Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 100-113. |
14 | Multinomial distributions, linear functions of random variables, moment-generating functions | Douglas C. Montgomery, Geroge C. Runger, “Joint Probability Distributions”, Chap. 5 Applied Statistics and Probability for Engineers, 7th Edition (United States of America: Wiley, 2018), 113-114, 117-120, 121-124. |
15 | Semester review | |
16 | Final Exam |
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 | Weighting |
Participation | ||
Laboratory / Application | ||
Field Work | ||
Quizzes / Studio Critiques | 2 | 10 |
Portfolio | ||
Homework / Assignments | ||
Presentation / Jury | ||
Project | ||
Seminar / Workshop | ||
Oral Exam | ||
Midterm | 1 | 40 |
Final Exam | 1 | 50 |
Total |
Weighting of Semester Activities on the Final Grade | 3 | 50 |
Weighting of End-of-Semester Activities on the Final Grade | 1 | 50 |
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 | 3 | 42 |
Field Work | |||
Quizzes / Studio Critiques | 2 | 10 | |
Portfolio | |||
Homework / Assignments | |||
Presentation / Jury | |||
Project | |||
Seminar / Workshop | |||
Oral Exam | |||
Midterms | 1 | 30 | |
Final Exams | 1 | 40 | |
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