FACULTY OF ENGINEERING

Department of Industrial Engineering

IE 240 | Course Introduction and Application Information

Course Name
Probability and Statistics for Engineers I
Code
Semester
Theory
(hour/week)
Application/Lab
(hour/week)
Local Credits
ECTS
IE 240
Fall/Spring
3
0
3
6

Prerequisites
  MATH 153 To succeed (To get a grade of at least DD)
Course Language
English
Course Type
Service Course
Course Level
First Cycle
Mode of Delivery -
Teaching Methods and Techniques of the Course -
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;
  • will be able to use fundamental concepts such as addition rule, conditional probability, and independence
  • will be able to use the total probability rule and Bayes' theorem
  • will be able to use discrete random variables and their distributions
  • will be able to use continuous random variables and their distributions
  • will be able to use joint probability distributions
Course Description Topics of this course include the axioms of probability, Bayes' theorem, discrete and continuous random variables and their distributions, joint probability distributions, the central limit theorem and its applications.

 



Course Category

Core Courses
X
Major Area Courses
Supportive Courses
Media and Management Skills Courses
Transferable Skill Courses

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week Subjects Related Preparation
1 Introduction to Probability Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 2.1-2.2) -Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapters 1 and 2)
2 Introduction to Probability Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 2.2-2.3) -Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapter 2)
3 Random variables Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 2.4) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapters 3 and 4)
4 Random variables Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 2.4) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapters 3 and 4)
5 Random variables Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 2.4-2.5) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapters 3 and 4)
6 Commonly used distributions Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 4.1-4.3) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapters 3 and 4)
7 Commonly used distributions Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 4.1-4.3) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapters 3 and 4)
8 Commonly used distributions Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 4.3-4.5) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapters 3 and 4)
9 Commonly used distributions Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 4.5-4.7) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley &Sons, Inc. (Chapters 3 and 4)
10 Commonly used distributions Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 4.8, 4.11) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapters 3 and 4)
11 Jointly distributed random variables Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 2.6) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapter 5)
12 Jointly distributed random variables Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 2.6) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapter 5)
13 Jointly distributed random variables Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 2.6) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapter 5)
14 Jointly distributed random variables Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 2.6) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapter 5)
15 Review
16 Review of the Semester

 

Course Notes/Textbooks Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill.
Suggested Readings/Materials Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. -A First Course in Probability, S. Ross, Pearson Prentice Hall. Introduction to Probability, D.P. Bertsekas, J.N. Tsitsiklis, Athena Scientific

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques
4
20
Portfolio
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Oral Exams
Midterm
1
35
Final Exam
1
45
Total

Weighting of Semester Activities on the Final Grade
5
55
Weighting of End-of-Semester Activities on the Final Grade
1
45
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
16
3
48
Field Work
0
Quizzes / Studio Critiques
4
4
16
Portfolio
0
Homework / Assignments
0
Presentation / Jury
0
Project
0
Seminar / Workshop
0
Oral Exam
0
Midterms
1
20
20
Final Exam
1
32
32
    Total
164

 

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 Industrial Engineering; to be able to use theoretical and applied information in these areas to model and solve Industrial Engineering problems.

X
2

To be able to identify, formulate and solve complex Industrial Engineering problems by using state-of-the-art methods, techniques and equipment; to be able to select and apply proper analysis and modeling methods for this purpose.

X
3

To be able to analyze a complex system, process, device or product, and to design with realistic limitations to meet the requirements using modern design techniques. 

X
4

To be able to choose and use the required modern techniques and tools for Industrial Engineering applications; to be able to use information technologies efficiently.

X
5

To be able to design and do simulation and/or experiment, collect and analyze data and interpret the results for investigating Industrial Engineering problems and Industrial Engineering related research areas.

X
6

To be able to work efficiently in Industrial Engineering disciplinary and multidisciplinary teams; to be able to work individually.

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

X
8

To have knowledge about contemporary issues and the global and societal effects of Industrial Engineering practices on health, environment, and safety; to be aware of the legal consequences of Industrial Engineering solutions.

X
9

To be aware of professional and ethical responsibility; to have knowledge of the standards used in Industrial Engineering practice.

X
10

To have knowledge about business life practices such as project management, risk management, and change management; to be aware of entrepreneurship and innovation; to have knowledge about sustainable development.

11

To be able to collect data in the area of Industrial Engineering; to be able to communicate with colleagues in a foreign language.

12

To be able to speak a second foreign at a medium level of fluency efficiently.

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 Industrial Engineering.

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest

 


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