FACULTY OF ENGINEERING
Department of Mechanical Engineering
MATH 240 | Course Introduction and Application Information
Course Name |
Probability for Engineers
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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
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Course Type |
Service Course
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Course Level |
First Cycle
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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;
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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 |
WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
Week | Subjects | Related Preparation |
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 | 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 |
6 | Concept of random variable and discrete 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), 101-106. |
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 | Midterm | |
9 | Joint probability distributions | 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), 114-124. |
10 | Mean and Variance of a Random variable | 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), 131-147 |
11 | 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.. |
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 and Statistics for Engineers and Scientists, 9th Edition (United States of America: Pearson, 2017). ISBN-13: 978-0134115856 |
Suggested Readings/Materials | William Navidi, Statistics for Engineers and Scientists, 5th Ed. (Mc-Graw Hill, 2019) ISBN-13: 978-1260547887 |
EVALUATION SYSTEM
Semester Activities | Number | Weigthing |
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 |
ECTS / WORKLOAD TABLE
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
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
#
|
Program Competencies/Outcomes |
* Contribution Level
|
||||
1
|
2
|
3
|
4
|
5
|
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1 | To have adequate knowledge in Mathematics, Mathematics based physics, statistics and linear algebra and Mechanical Engineering; to be able to use theoretical and applied information in these areas on complex engineering problems. |
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2 | To be able to identify, define, formulate, and solve complex Mechanical Engineering problems; to be able to select and apply proper analysis and modeling methods for this purpose. |
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3 | To be able to design a thermal and mechanical system, process, device or product under realistic constraints and conditions, in such a way as to meet the requirements; to be able to apply modern design methods for this purpose. |
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4 | To be able to devise, select, and use modern techniques and tools needed for analysis and solution of complex problems in engineering applications. |
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5 | To be able to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or Mechanical Engineering research topics. |
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6 | To be able to work efficiently in Mechanical Engineering disciplinary and multi-disciplinary teams; to be able to work individually. |
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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. |
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8 | To have knowledge about global and social impact of engineering practices on health, environment, and safety; to have knowledge about contemporary issues as they pertain to engineering; to be aware of the legal ramifications of engineering solutions. |
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9 | To be aware of ethical behavior, professional and ethical responsibility; to have knowledge about standards utilized in engineering applications. |
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10 | To have knowledge about industrial practices such as project management, risk management, and change management; to have awareness of entrepreneurship and innovation; to have knowledge about sustainable development. |
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11 | To be able to collect data in the area of Mechanical Engineering, and to be able to communicate with colleagues in a foreign language. |
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12 | To be able to speak a second foreign language at a medium level of fluency efficiently. |
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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 Mechanical Engineering. |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest