DEPARTMENT OF INDUSTRIAL ENGINEERING (ENGLISH)
Qualification Awarded	Program Süresi	Toplam Kredi (AKTS)	Öğretim Şekli	Yeterliliğin Düzeyi ve Öğrenme Alanı
Bachelor's (First Cycle) Degree	4	240	FULL TIME	TYÇ, TR-NQF-HE, EQF-LLL, ISCED (2011):Level 6 QF-EHEA:First Cycle TR-NQF-HE, ISCED (1997-2013): 44,52

Ders Genel Tanıtım Bilgileri

Course Code:

1400211013

Ders İsmi:

Probability and Statistics

Ders Yarıyılı:

Fall

Ders Kredileri:

Theoretical	Practical	Labs	Credit	ECTS
3	0	0	3	6

Language of instruction:

Ders Koşulu:

Ders İş Deneyimini Gerektiriyor mu?:

Other Recommended Topics for the Course:

Type of course:

Necessary

Course Level:

Bachelor

TR-NQF-HE:6. Master`s Degree

QF-EHEA:First Cycle

EQF-LLL:6. Master`s Degree

Mode of Delivery:

Face to face

Course Coordinator :

Prof. Dr. Esengül SALTÜRK

Course Lecturer(s):

Course Assistants:

Dersin Amaç ve İçeriği

Course Objectives:

The aim of the course is to introduce students the basic principals of probability and statistics so that the students should use them in engineering applications such as machine learning, artificial intelligence, computer graphics, randomized algorithms and image processing etc.

Course Content:

Foundations of Probability. Sample spaces, probabilities and distributions, discrete and continuous random variables, expectation, joint probabilities and independence.
Limit Theorems. Law of large numbers, central limit theorem.
Basic Statistics. Mean, variance, covariance, correlation.
Regression. Linear models, least squares estimation.
Hypothesis Testing. Null hypothesis, test statistics, type I and II errors, t-tests.

Learning Outcomes

The students who have succeeded in this course;

Learning Outcomes

1 - Knowledge
Theoretical - Conceptual
1) Understand the language and core concepts of probability theory including combinatorics, independence, conditional probability and Bayes' Theorem.
2) Learn the basic principles of statistical inference.
3) Understand the connection between probability and statistics.
2 - Skills
Cognitive - Practical
1) Use common discrete and continuous probability functions.
2) Learn confidence intervals and perform statistical inference such as hypothesis testing and regression.
3 - Competences
Communication and Social Competence
Learning Competence
Field Specific Competence
Competence to Work Independently and Take Responsibility

Ders Akış Planı

Week	Subject	Related Preparation
1)	Introduction. Sample spaces. Events. Probability.	Chapter 1-2
2)	Conditional probability. Total probability.	Chapter 3
3)	Independence. Bayes' Rule.	Chapter 3
4)	Discrete random variables. Distributions.	Chapter 4
5)	Continuous random variables. Distributions.	Chapter 5
6)	Expectation. Variance.	Chapter 7
7)	Joint distributions.	Chapter 9
8)	Midterm Exam
9)	Joint distributions.	Chapter 9
10)	Covariance and Correlation.	Chapter 10
11)	Introduction to Statistics. Law of Large Numbers, Central Limit Theorem.	Chapter 15-17
12)	Estimation and Bias. Confidence Intervals.	Chapter 19-23
13)	Confidence intervals.	Chapter 23
14)	Hypothesis Testing.	Chapter 25-26
15)	Linear Regression. Review	Chapter 17-22
16)	Final Exam

Sources

Course Notes / Textbooks:

1. (Textbook) A Modern Introduction to Probability and Statistics, Understanding Why and How, F.M. Dekking, C. Kraaikamp, H.P. Lopuhaa, L.E. Meester , Springer, 2005. ISBN-10: 1-85233-896-2. ISBN-13: 978-1-85233-896-1.
2.Probability and Statistics - The Science of Uncertainty, M.J. Evans and J.S. Rosenthal, W. H. Freeman; Second edition, 2023.
3. Applied Statistics and Probability for Engineers, Fifth Edition, Douglas C. Montgomery, George C. Runger, 2011. ISBN-13: 978-0-47005-304-1.
3. For Programming Language: Python for Probability, Statistics and Machine Learning, Jose Unpingco, Springer, 2016.

References:

Ders - Program Öğrenme Kazanım İlişkisi

Ders Öğrenme Kazanımları	1	3	5	2	4
Program Outcomes
1) Engineering Knowledge: Knowledge in mathematics, science, basic engineering, computer computing.
2) Engineering Knowledge: Knowledge in subjects specific to the discipline of industrial engineering.
3) Engineering Knowledge: Ability to use this knowledge in solving complex engineering problems.
4) Problem Analysis: Ability to define, formulate and analyze complex engineering problems using basic science, mathematics and engineering knowledge and considering the UN Sustainable Development Goals*
5) Engineering Design: Ability to design creative solutions to complex engineering problems.
6) Engineering Design: Ability to design complex systems, processes, devices or products to meet current and future needs, considering realistic constraints and conditions*.
7) Use of Techniques and Tools: Ability to select and use appropriate techniques, resources, and modern engineering and computing tools, including estimation and modeling, for the analysis and solution of complex engineering problems, while being aware of their limitations.
8) Research and Review: Ability to conduct literature research for the investigation of complex engineering problems.
9) Research and Review: Ability to design experiments for the investigation of complex engineering problems.
10) Research and Review: Ability to conduct experiments for the investigation of complex engineering problems.
11) Research and Investigation: Ability to collect data to investigate complex engineering problems.
12) Research and Review: Ability to analyze and interpret results for the investigation of complex engineering problems.
13) Research and Review: Ability to use research methods for the investigation of complex engineering problems.
14) Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, economy, sustainability and the environment within the scope of the UN Sustainable
15) Global Impact of Engineering Practices: Awareness of the legal implications of engineering solutions.
16) Ethical Behavior: Acting in accordance with the principles of the engineering profession*, knowledge of ethical responsibility.
17) Ethical Behavior: Awareness of being impartial, non-discriminatory and inclusive of diversity.
18) Individual and Teamwork: Ability to work individually (face-to-face, remotely or mixed).
19) Individual and Teamwork: Ability to work effectively as a team member or leader in intra-disciplinary teams (face-to-face, remotely or mixed).
20) Individual and Teamwork: Ability to work effectively as a team member or leader in multi-disciplinary teams (face-to-face, remotely or mixed).
21) Oral and Written Communication: Ability to communicate effectively in technical matters, both verbally and in writing, taking into account the various differences of the target audience (such as education, language,profession).
22) Project Management: Knowledge of business practices such as project management and economic feasibility analysis.
23) Project Management: Awareness of entrepreneurship and innovation.
24) Lifelong Learning: Lifelong learning skills that include independent and continuous learning, adapting to new and developing technologies, and questioning thinking about technological changes.

Ders - Öğrenme Kazanımı İlişkisi

No Effect	1 Lowest	2 Low	3 Average	4 High	5 Highest

	Program Outcomes	Level of Contribution
1)	Engineering Knowledge: Knowledge in mathematics, science, basic engineering, computer computing.	5
2)	Engineering Knowledge: Knowledge in subjects specific to the discipline of industrial engineering.
3)	Engineering Knowledge: Ability to use this knowledge in solving complex engineering problems.
4)	Problem Analysis: Ability to define, formulate and analyze complex engineering problems using basic science, mathematics and engineering knowledge and considering the UN Sustainable Development Goals*
5)	Engineering Design: Ability to design creative solutions to complex engineering problems.
6)	Engineering Design: Ability to design complex systems, processes, devices or products to meet current and future needs, considering realistic constraints and conditions*.
7)	Use of Techniques and Tools: Ability to select and use appropriate techniques, resources, and modern engineering and computing tools, including estimation and modeling, for the analysis and solution of complex engineering problems, while being aware of their limitations.
8)	Research and Review: Ability to conduct literature research for the investigation of complex engineering problems.
9)	Research and Review: Ability to design experiments for the investigation of complex engineering problems.
10)	Research and Review: Ability to conduct experiments for the investigation of complex engineering problems.	5
11)	Research and Investigation: Ability to collect data to investigate complex engineering problems.
12)	Research and Review: Ability to analyze and interpret results for the investigation of complex engineering problems.	3
13)	Research and Review: Ability to use research methods for the investigation of complex engineering problems.
14)	Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, economy, sustainability and the environment within the scope of the UN Sustainable
15)	Global Impact of Engineering Practices: Awareness of the legal implications of engineering solutions.	3
16)	Ethical Behavior: Acting in accordance with the principles of the engineering profession*, knowledge of ethical responsibility.
17)	Ethical Behavior: Awareness of being impartial, non-discriminatory and inclusive of diversity.
18)	Individual and Teamwork: Ability to work individually (face-to-face, remotely or mixed).
19)	Individual and Teamwork: Ability to work effectively as a team member or leader in intra-disciplinary teams (face-to-face, remotely or mixed).
20)	Individual and Teamwork: Ability to work effectively as a team member or leader in multi-disciplinary teams (face-to-face, remotely or mixed).
21)	Oral and Written Communication: Ability to communicate effectively in technical matters, both verbally and in writing, taking into account the various differences of the target audience (such as education, language,profession).
22)	Project Management: Knowledge of business practices such as project management and economic feasibility analysis.
23)	Project Management: Awareness of entrepreneurship and innovation.
24)	Lifelong Learning: Lifelong learning skills that include independent and continuous learning, adapting to new and developing technologies, and questioning thinking about technological changes.

Öğrenme Etkinliği ve Öğretme Yöntemleri

Alan Çalışması
Anlatım
Bireysel çalışma ve ödevi

Ölçme ve Değerlendirme Yöntemleri ve Kriterleri

Assessment & Grading

Semester Requirements	Number of Activities	Level of Contribution
Homework Assignments	2	% 10
Midterms	1	% 30
Semester Final Exam	1	% 60
total		% 100
PERCENTAGE OF SEMESTER WORK		% 40
PERCENTAGE OF FINAL WORK		% 60
total		% 100

İş Yükü ve AKTS Kredisi Hesaplaması

Activities	Number of Activities	Duration (Hours)	Workload
Course Hours	15	3	45
Study Hours Out of Class	20	6	120
Midterms	2	5	10
Final	1	3	3
Total Workload			178