STAT 553 | Course Introduction and Application Information - Applied Mathematics and Statistics – With Thesis

Course Name

Reliability

Code	Semester	Theory (hour/week)	Application/Lab (hour/week)	Local Credits	ECTS
STAT 553	Fall/Spring	3	0	3	7.5

Prerequisites	None
Course Language	English
Course Type	Elective
Course Level	Second Cycle
Mode of Delivery	-
Teaching Methods and Techniques of the Course	Problem Solving Q&A
National Occupation Classification	-
Course Coordinator	-
Course Lecturer(s)	Prof. Dr. İsmihan BAYRAMOĞLU
Assistant(s)	Arş.Gör. Merve KAHRAMAN ARİMAN

Course Objectives	This course aims to provide some concepts and techniques for evaluating the reliability of engineering systems. The course introduces the structural properties of coherent systems, reliability of coherent systems, classes of life distributions based on notions of ageing, multivariate distributions for dependent components.
Learning Outcomes	The students who succeeded in this course; will be able to describe the importance of reliability. will be able to use methods for measuring reliability. will be able to use effective statistical techniques for analyzing engineering systems. will be able to anaylse the lifetime properties of systems and define the system signature. will be able to do stokastic ordering.
Course Description	System reliability models and their properties are the focus of this course.
Related Sustainable Development Goals

Course Category	Core Courses
	Major Area Courses
	Supportive Courses
	Media and Management Skills Courses
	Transferable Skill Courses

Week	Subjects	Related Preparation
1	Needs for reliability modeling	“Optimal reliability modeling” by W. Kuo and M.J. Zuo, John Wiley & Sons, Inc., 2003. ISBN-13: 978-0471397618
2	Reliability concepts	“Optimal reliability modeling” by W. Kuo and M.J. Zuo, John Wiley & Sons, Inc., 2003. ISBN-13: 978-0471397618
3	Structure functions, coherent systems	“Optimal reliability modeling” by W. Kuo and M.J. Zuo, John Wiley & Sons, Inc., 2003. ISBN-13: 978-0471397618
4	Series and parallel systems	“Optimal reliability modeling” by W. Kuo and M.J. Zuo, John Wiley & Sons, Inc., 2003. ISBN-13: 978-0471397618
5	Standby system models	“Optimal reliability modeling” by W. Kuo and M.J. Zuo, John Wiley & Sons, Inc., 2003. ISBN-13: 978-0471397618
6	Methods for system reliability evaluation	“Optimal reliability modeling” by W. Kuo and M.J. Zuo, John Wiley & Sons, Inc., 2003. ISBN-13: 978-0471397618
7	koutofn systems coherent systems	“Optimal reliability modeling” by W. Kuo and M.J. Zuo, John Wiley & Sons, Inc., 2003. ISBN-13: 978-0471397618
8	Consecutive koutofn systems	“Optimal reliability modeling” by W. Kuo and M.J. Zuo, John Wiley & Sons, Inc., 2003. ISBN-13: 978-0471397618
9	Other koutofn and consecutive koutofn models	“Optimal reliability modeling” by W. Kuo and M.J. Zuo, John Wiley & Sons, Inc., 2003. ISBN-13: 978-0471397618
10	Lifetime characteristics of systems	“Optimal reliability modeling” by W. Kuo and M.J. Zuo, John Wiley & Sons, Inc., 2003. ISBN-13: 978-0471397618
11	The concept of system signature	“Optimal reliability modeling” by W. Kuo and M.J. Zuo, John Wiley & Sons, Inc., 2003. ISBN-13: 978-0471397618
12	Stochastic ordering	“Optimal reliability modeling” by W. Kuo and M.J. Zuo, John Wiley & Sons, Inc., 2003. ISBN-13: 978-0471397618
13	Multistate system models	“Optimal reliability modeling” by W. Kuo and M.J. Zuo, John Wiley & Sons, Inc., 2003. ISBN-13: 978-0471397618
14	Discussion on recent developments in reliability engineering and reliability theory	“Optimal reliability modeling” by W. Kuo and M.J. Zuo, John Wiley & Sons, Inc., 2003. ISBN-13: 978-0471397618
15	Semester review
16	Final exam

Course Notes/Textbooks	“Optimal reliability modeling” by W. Kuo and M.J. Zuo, John Wiley & Sons, Inc., 2003. ISBN-13: 978-0471397618
Suggested Readings/Materials	‘’System Signatures and their Applications in Engineering Reliability’’, Samaniego, F. J. 2007. Springer Science+Business Media, LLC, New York, NY,USA

Semester Activities	Number	Weigthing
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques
Portfolio
Homework / Assignments
Presentation / Jury
Project	1	20
Seminar / Workshop
Oral Exams
Midterm	1	30
Final Exam	1	50
Total

Weighting of Semester Activities on the Final Grade	2	50
Weighting of End-of-Semester Activities on the Final Grade	1	50
Total

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	6	84
Field Work			0
Quizzes / Studio Critiques			0
Portfolio			0
Homework / Assignments			0
Presentation / Jury			0
Project	1	25	25
Seminar / Workshop			0
Oral Exam			0
Midterms	1	30	30
Final Exam	1	38	38
		Total	225

#

Program Competencies/Outcomes

* Contribution Level

1

2

3

4

5

1

To be able to demonstrate independent and critical thinking in Applied Mathematics and Statistics.

-

X

2

To be able to define problems in Applied Mathematics/Statistics and verify whether they are mathematically/statistically consistent.

-

X

-

3

To be able to analyse and solve real life problems using applied methods and interdisciplinary approach of Mathematics/Statistics.

-

4

To be able to independently conduct, conclude, and report on specialized research in Applied Mathematics and Statistics.

-

X

-

5

To be able to efficiently use national and international resources, for staying updated in the field, communicating with colleagues, and following the related literature.

-

X

-

6

To be able to develop proficiency in using computer software widely utilized in the fields of Applied Mathematics and Statistics.

-

X

-

7

To be able to evaluate solution processes efficiently using mathematical reasoning and modeling in order to contribute to the solutions of social and scientific problems.

-

8

To be able to synthesize theoretical frameworks with practical applications through mathematical and statistical methods.

-

9

To be able to develop strategies, policies and plans for problems and research areas in Applied Mathematics/Statistics in order to interpret the results and translate them into practice.

-

10

To be able to translate key topics, events, and phenomena in Applied Mathematics and Statistics into the context of other scientific disciplines.

-

11

To be able to engage in lifelong learning by continuously updating and improving knowledge and skills in Applied Mathematics and Statistics.

-

STAT 553 | Course Introduction and Application Information

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

EVALUATION SYSTEM

ECTS / WORKLOAD TABLE

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

IZMIR UNIVERSITY OF ECONOMICS GÜZELBAHÇE CAMPUS

GLOBAL CAREER

CONTRIBUTION TO SCIENCE

VALUING PEOPLE

BENEFIT TO SOCIETY