‘Fire Towers’ for Forest Fires
Prof. Dr. Celalettin Kozanoğlu and Prof. Dr. Murat Aşkar from Izmir University of Economics (IUE) have developed a ‘fire tower’ ...
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Department of Civil Engineering
MATH 240 | Course Introduction and Application Information
| Course Name |
Probability for Engineers
|
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
MATH 240
|
SPRING
|
3
|
0
|
3
|
6
|
| Prerequisites | MATH 154 To get a grade of at least FD | |||||
| Course Language | English | |||||
| Course Type | Required (Core Course) | |||||
| Course Level | First Cycle | |||||
| Mode of Delivery | face to face | |||||
| Teaching Methods and Techniques of the Course | Lecture / Presentation | |||||
| National Occupational Classification Code | - | |||||
| Course Coordinator |
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| Course Lecturer(s) |
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| 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 |
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| Major Area Courses |
X
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| Supportive Courses |
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| Media and Managment Skills Courses |
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| Transferable Skill Courses |
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WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
| Week | Subjects | Required Materials | Learning Outcome |
| 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 (vaccine efficacy, epidemics, communicable diseases, traffic accidents, environmental pollution) | 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), 100-113. | - |
| 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. | - |
| 16 | Semester review | - | |
| 17 | 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 |
EVALUATION SYSTEM
| Semester Activities | Number | Weighting | LO6 | LO5 | LO4 | LO3 | LO2 | LO1 |
| Final Exam | 1 | 50 | X | X | X | X | X | X |
| Midterm | 1 | 40 | X | X | X | X | X | X |
| Quizzes / Studio Critiques | 1 | 10 | X | X | X | X | X | X |
| Total | 3 | 100 |
ECTS / WORKLOAD TABLE
| Semester Activities | Number | Duration (Hours) | Workload |
|---|---|---|---|
| Participation | - | - | - |
| Theoretical Course Hours | 16 | 3 | 48 |
| Laboratory / Application Hours | - | - | - |
| Study Hours Out of Class | 14 | 3 | 42 |
| Field Work | - | - | - |
| Quizzes / Studio Critiques | 2 | 10 | 20 |
| Portfolio | - | - | - |
| Homework / Assignments | - | - | - |
| Presentation / Jury | - | - | - |
| Project | - | - | - |
| Seminar / Workshop | - | - | - |
| Oral Exams | - | - | - |
| Midterms | 1 | 30 | 30 |
| Final Exam | 1 | 40 | 40 |
| Total | 180 |
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
| # | PC Sub | Program Competencies/Outcomes | * Contribution Level | ||||
| 1 | 2 | 3 | 4 | 5 | |||
| No program competency data found. | |||||||
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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