| Course Name | Probability for Engineers |
| Code | Semester | Theory (hour/week) | Application/Lab (hour/week) | Local Credits | ECTS |
|---|---|---|---|---|---|
| MATH 240 | 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 | Lecturing / 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;
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| 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 | |
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| Core Courses | |
| Major Area Courses | ||
| Supportive Courses | ||
| Media and Managment Skills Courses | ||
| Transferable Skill Courses |
| Week | Subjects | Required Materials |
| 1 | Sample space and events | Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye, “Probability”, Chap. 2 Probability & Statistics for Engineers and Scientists, 9th Edition (Pearson, 2017), 55-63. |
| 2 | Events and counting sample points | Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye, “Probability”, Chap. 2 Probability & Statistics for Engineers and Scientists, 9th Edition (Pearson, 2017), 58-71. |
| 3 | Counting sample points, probability of an event and additive rules | Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye, “Probability”, Chap. 2 Probability & Statistics for Engineers and Scientists, 9th Edition (Pearson, 2017), 64-79. |
| 4 | Additive rules, conditional probability of an event | Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye, “Probability”, Chap. 2 Probability & Statistics for Engineers and Scientists, 9th Edition (Pearson, 2017), 76-89. |
| 5 | Bayes’ rule, Concept of random variable and discrete probability distributions | Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye, “Probability”, Chap. 2 Probability & Statistics for Engineers and Scientists, 9th Edition (Pearson, 2017), 92-97, 101-106. |
| 6 | Midterm Exam I | |
| 7 | Discrete probability distributions and continuous probability distributions | Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye, “Random Variables and Probability Distributions”, Chap. 3 Probability & Statistics for Engineers and Scientists, 9th Edition (Pearson, 2017), 104-111. |
| 8 | Joint probability distributions | Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye, “Random Variables and Probability Distributions”, Chap. 3 Probability & Statistics for Engineers and Scientists, 9th Edition (Pearson, 2017), 114-124. |
| 9 | Mean and variance of a random variable | Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye, “Mathematical Expectation”, Chap. 4 Probability & Statistics for Engineers and Scientists, 9th Edition (Pearson, 2017), 131-147. |
| 10 | Binomial and multinomial distributions | Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye, “Some Discrete Probability Distributions”, Chap. 5 Probability & Statistics for Engineers and Scientists, 9th Edition (Pearson, 2017), 163-170. |
| 11 | Midterm Exam II | |
| 12 | Binomial and multinomial distributions | Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye, “Some Discrete Probability Distributions”, Chap. 5 Probability & Statistics for Engineers and Scientists, 9th Edition (Pearson, 2017), 172-184. |
| 13 | Uniform, normal, areas under the normal curve, applications of the normal dist. And exponential distribution | Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye, “Some Continuous Probability Distributions”, Chap. 6 Probability & Statistics for Engineers and Scientists, 9th Edition (Pearson, 2017), 191-205. |
| 14 | Uniform, normal, areas under the normal curve, applications of the normal dist. And exponential distribution | Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye, “Some Continuous Probability Distributions”, Chap. 6 Probability & Statistics for Engineers and Scientists, 9th Edition (Pearson, 2017), 191-205. |
| 15 | Semester review | |
| 16 | Final Exam |
| Course Notes/Textbooks | Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye, Probability & Statistics for Engineers and Scientists, 9th Edition (Pearson, 2017). ISBN-13: 978-0134115856 |
| Suggested Readings/Materials | William Navidi, Statistics for Engineers and Scientists, 5th Ed. (Mc-Graw Hill, 2019) |
| Semester Activities | Number | Weigthing |
| Participation | ||
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques | 2 | 20 |
| Portfolio | ||
| Homework / Assignments | ||
| Presentation / Jury | ||
| Project | ||
| Seminar / Workshop | ||
| Oral Exam | ||
| Midterm | 1 | 30 |
| 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 | Being able to transfer knowledge and skills acquired in mathematics and science into engineering, | |||||
| 2 | Being able to identify and solve problem areas related to Food Engineering, | |||||
| 3 | Being able to design projects and production systems related to Food Engineering, gather data, analyze them and utilize their outcomes in practice, | |||||
| 4 | Having the necessary skills to develop and use novel technologies and equipment in the field of food engineering, | |||||
| 5 | Being able to take part actively in team work, express his/her ideas freely, make efficient decisions as well as working individually, | |||||
| 6 | Being able to follow universal developments and innovations, improve himself/herself continuously and have an awareness to enhance the quality, | |||||
| 7 | Having professional and ethical awareness, | |||||
| 8 | Being aware of universal issues such as environment, health, occupational safety in solving problems related to Food Engineering, | |||||
| 9 | Being able to apply entrepreneurship, innovativeness and sustainability in the profession, | |||||
| 10 | Being able to use software programs in Food Engineering and have the necessary knowledge and skills to use information and communication technologies that may be encountered in practice (European Computer Driving License, Advanced Level), | |||||
| 11 | Being able to gather information about food engineering and communicate with colleagues using a foreign language ("European Language Portfolio Global Scale", Level B1) | |||||
| 12 | Being able to speak a second foreign language at intermediate level. | |||||
| 13 | Being able to relate the knowledge accumulated during the history of humanity to the field of expertise | |||||
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
