FACULTY OF ENGINEERING
Department of Genetics and Bioengineering
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
|
Fall
|
3
|
0
|
3
|
6
|
Prerequisites |
|
|||||||
Course Language |
English
|
|||||||
Course Type |
Required
|
|||||||
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;
|
Course Description | In this course some important theorems about probability are investigated. In addition, applications of random variables and their probability distributions are discussed. |
|
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 | 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 |
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
|
||
1 | To have adequate knowledge in Mathematics, Science and Genetics and Bioengineering; to be able to use theoretical and applied information in these areas on complex engineering problems. |
X | ||||
2 | To be able to identify, define, formulate, and solve complex Genetics and Bioengineering 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 complex 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 Genetics and Bioengineering applications; to be able to use information technologies effectively. |
X | ||||
5 | To be able to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or Genetics and Bioengineering research topics. |
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6 | To be able to work efficiently in Genetics and Bioengineering 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 Genetics and Bioengineering 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 Genetics and Bioengineering solutions. |
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9 | To be aware of ethical behavior, professional and ethical responsibility; to have knowledge about standards utilized in Genetics and Bioengineering 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 Genetics and Bioengineering, and to be able to communicate with colleagues in a foreign language. |
|||||
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 Genetics and Bioengineering. |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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