Visit of broadAngle in Izmir University of Economics
The founder and CEO of broadAngle, a software company operating in the United States and Izmir, Garrison Atkisson, along with ...
Course Name |
Probability for Engineers
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Code
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Semester
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Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
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ECTS
|
MATH 240
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Spring
|
3
|
0
|
3
|
6
|
Prerequisites |
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Course Language |
English
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Course Type |
Required
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|||||||
Course Level |
First Cycle
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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 |
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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. |
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Core Courses | |
Major Area Courses | ||
Supportive Courses | ||
Media and Management Skills Courses | ||
Transferable Skill Courses |
Week | Subjects | Related Preparation | 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 | Midterm | ||
9 | 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. | |
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 | Weigthing | LO 1 | LO 2 | LO 3 | LO 4 | LO 5 | LO 6 | LO 7 |
Participation | |||||||||
Laboratory / Application | |||||||||
Field Work | |||||||||
Quizzes / Studio Critiques |
2
|
10
|
|||||||
Portfolio | |||||||||
Homework / Assignments | |||||||||
Presentation / Jury | |||||||||
Project | |||||||||
Seminar / Workshop | |||||||||
Oral Exams | |||||||||
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 |
---|---|---|---|
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 |
2
|
10
|
20
|
Portfolio |
0
|
||
Homework / Assignments |
0
|
||
Presentation / Jury |
0
|
||
Project |
0
|
||
Seminar / Workshop |
0
|
||
Oral Exam |
0
|
||
Midterms |
1
|
30
|
30
|
Final Exam |
1
|
40
|
40
|
Total |
180
|
#
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PC Sub | Program Competencies/Outcomes |
* Contribution Level
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1
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2
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3
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4
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5
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1 |
Engineering Knowledge: Knowledge of mathematics, science, basic engineering, computer computation, and topics specific to related engineering disciplines; the ability to use this knowledge in solving complex engineering problems |
-
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-
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X
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-
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-
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|
1 |
Mathematics |
-
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-
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-
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-
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-
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2 |
Science |
-
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-
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-
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3 |
Basic engineering |
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-
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-
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4 |
Computer computation |
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-
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-
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5 |
Topics specific to related engineering disciplines |
-
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-
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-
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-
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-
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6 |
The ability to use this knowledge in solving complex engineering problems |
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-
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-
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2 |
Problem Analysis: The ability to define, formulate, and analyze complex engineering problems by using fundamental science, mathematics, and engineering knowledge, while considering the relevant UN Sustainable Development Goals (SDGs) related to the problem. |
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3 |
Engineering Design: The ability to design creative solutions to complex engineering problems; the ability to design complex systems, processes, devices, or products that meet present and future requirements, considering realistic constraints and conditions. |
-
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1 |
The ability to design creative solutions to complex engineering problems |
-
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-
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-
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2 |
Considering realistic constraints and conditions in designing complex systems, processes, devices, or products |
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3 |
The ability to design in a way that meets current and future requirements |
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4 |
Use of Techniques and Tools: The ability to select and use appropriate techniques, resources, and modern engineering and information technology tools, including prediction and modeling, for the analysis and solution of complex engineering problems, while being aware of their limitations |
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-
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X
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-
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-
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5 |
Research and Investigation: The ability to use research methods, including literature review, designing experiments, conducting experiments, collecting data, analyzing and interpreting results, for the investigation of complex engineering problems. |
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1 |
The ability to use research methods, including literature review |
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2 |
Designing experiments |
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3 |
Conducting experiments, collecting data, analyzing and interpreting results, for the investigation of complex engineering problems |
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6 |
Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, the economy, sustainability, and the environment within the scope of the UN Sustainable Development Goals (SDGs); awareness of the legal consequences of engineering solutions |
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-
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1 |
Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, the economy, sustainability, and the environment within the scope of the UN Sustainable Development Goals (SDGs) |
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2 |
Awareness of the legal consequences of engineering solutions |
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7 |
Ethical Behavior: Acting in accordance with the principles of the engineering profession; knowledge of ethical responsibility; awareness of acting impartially and inclusively, without discrimination in any matter. (FENG101) |
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1 |
Acting in accordance with the principles of the engineering profession; knowledge of ethical responsibility |
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2 |
Awareness of acting impartially and inclusively, without discrimination in any matter. |
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8 |
Individual and Team Work: The ability to work effectively as an individual and as a member or leader of both intra-disciplinary and interdisciplinary teams (whether face-to-face, remote, or hybrid). |
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9 |
Verbal and Written Communication: Taking into account the various differences of the target audience (such as education, language, profession), particularly in technical matters. |
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1 |
Verbal (ENGxxx) |
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2 |
Written effective communication skills. (ENGxxx) |
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10 |
Project Management: Knowledge of business practices such as project management and economic feasibility analysis; awareness of entrepreneurship and innovation. |
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1 |
Knowledge of business practices such as project management and economic feasibility analysis; (FENG497-FENG498) |
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2 |
Awareness of entrepreneurship and innovation. (FENG101) |
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11 |
Lifelong Learning: The ability to learn independently and continuously, adapt to new and emerging technologies, and think critically about technological changes. |
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*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
The founder and CEO of broadAngle, a software company operating in the United States and Izmir, Garrison Atkisson, along with ...
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