# Probability and Statistics I (IE201) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Probability and Statistics I IE201 3. Semester 3 0 0 3 7
Pre-requisite Course(s)
N/A
Course Language English Compulsory Departmental Courses Bachelor’s Degree (First Cycle) Face To Face Lecture, Question and Answer, Problem Solving. Prof. Dr. Serkan Eryılmaz The course aims to expose students to basic concepts of probability and statistics and to use basic modeling and statistical decision techniques in Industrial Engineering applications. The students who succeeded in this course; Students will have a working knowledge of probability theory. Students will acquire the basic concepts of probability theory and apply them to engineering problems. Students will understand the relationship between random variables and their distribution functions. Students will improve their problem solving skills and their analytical thinking ability. The role of statistics in engineering, probability, random variables, expected value and variance of a random variable, discrete and continuous probability distributions, joint probability distributions

### Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 The role of probability, statistics and data analysis in engineering
2 Sample space, Probability of an event
3 Axioms of probability, Conditional probability
4 Independence, Bayes’ Rule
5 Random variables and probability distributions
6 Joint probability distributions
7 Mathematical expectation, Variance
8 Midterm
9 Covariance and correlation
10 Some discrete probability distributions
11 Some continuous probability distributions
12 Functions of random variables
13 Sampling distributions
14 Sampling distributions (cont.)
15 Final Examination Period
16 Final Examination Period

### Sources

Course Book 1. Walpole, R.E., Myers, R.H., Myers, S.L. and Ye, K., Probability and Statistics for Engineers and Scientists, Prentice Hall, 2007. 2. Montgomery, D.C., and Runger, G.C., Applied Statistics and Probability for Engineers, 5th Edition, John Wiley and Sons, 2011.

### Evaluation System

Attendance/Participation - -
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics 2 20
Homework Assignments - -
Presentation - -
Project - -
Report - -
Seminar - -
Midterms Exams/Midterms Jury 1 30
Final Exam/Final Jury 1 50
Toplam 4 100
 Percentage of Semester Work 50 50 100

### Course Category

Core Courses X

### The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 Acquires sufficient knowledge in mathematics, natural sciences, and related engineering disciplines; gains the ability to use theoretical and applied knowledge in these fields in solving complex engineering problems. X
2 Gains the ability to identify, define, formulate, and solve complex engineering problems; acquires the skill to select and apply appropriate analysis and modeling methods for this purpose. X
3 Gains the ability to design a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions, and applies modern design methods for this purpose.
4 Develops the skills to develop, select, and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in industrial engineering applications; gains the ability to effectively use information technologies.
5 Gains the ability to design experiments, conduct experiments, collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics.
6 Acquires the ability to work effectively in intra-disciplinary and multidisciplinary teams, as well as individual work skills.
7 Acquires effective oral and written communication skills in Turkish; at least one foreign language proficiency; gains the ability to write effective reports, understand written reports, prepare design and production reports, make effective presentations, and give and receive clear instructions.
8 Develops awareness of the necessity of lifelong learning; gains the ability to access information, follow developments in science and technology, and continuously renew oneself.
9 Acquires the consciousness of adhering to ethical principles, and gains professional and ethical responsibility awareness. Gains knowledge about the standards used in industrial engineering applications.
10 Gains knowledge about practices in the business life such as project management, risk management, and change management. Develops awareness about entrepreneurship and innovation. Gains knowledge about sustainable development.
11 Gains knowledge about the universal and social dimensions of the impacts of industrial engineering applications on health, environment, and safety, as well as the problems reflected in the engineering field of the era. Gains awareness of the legal consequences of engineering solutions.
12 Gains skills in the design, development, implementation, and improvement of integrated systems involving human, material, information, equipment, and energy.
13 Gains knowledge about appropriate analytical and experimental methods, as well as computational methods, for ensuring system integration.

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours) 16 3 48
Laboratory
Application
Special Course Internship
Field Work
Study Hours Out of Class 14 3 42
Presentation/Seminar Prepration
Project
Report
Homework Assignments 7 5 35
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury 1 25 25
Prepration of Final Exams/Final Jury 1 25 25