Probabilistic Approach to Engineering Design and Planning
Course Code
Semester
Course Name
LE/RC/LA
Course Type
Language of Instruction
ECTS
İMPYD3039
Probabilistic Approach to Engineering Design and Planning
3/0/0
DE
Turkish
9
Course Goals
Probabilistic Approach to Engineering Design and Planning
Prerequisite(s)
None
Corequisite(s)
None
Special Requisite(s)
None
Instructor(s)
Assist. Prof. Dr. Nevzat ERSELCAN
Course Assistant(s)
None
Schedule
Will be announced at the begining of the semester
Office Hour(s)
Will be announced at the begining of the semester
Teaching Methods and Techniques
-Lecture, question-answer, discussion, problem solving
Principle Sources
-Applied Probability and Statistics for Engineers, D.C. Montgomery, G.C. Runger, 5th edition, Wiley
Other Sources
None
Course Schedules
Week
Contents
Learning Methods
1. Week
Sample Spaces, Events, and Counting Techniques
Lecture, question-answer, discussion, problem solving
2. Week
Interpretations of Probability, Axioms of Probability and Basic Probability Rules
Lecture, question-answer, discussion, problem solving
3. Week
Conditional Probability, Total Probability Law, and Independent Events
Lecture, question-answer, discussion, problem solving
4. Week
Discrete Random Variables
Lecture, question-answer, discussion, problem solving
5. Week
Some Important Discrete Random Variables: Uniform, Bernoulli, Binomial
Lecture, question-answer, discussion, problem solving
6. Week
Some Important Discrete Random Variables (Continued): Geometric, Hypergeometric, Negative Binomial and Poisson
Lecture, question-answer, discussion, problem solving
7. Week
Midterm
8. Week
Continuous Random Variables and Their pdf, cdfs
Lecture, question-answer, discussion, problem solving
9. Week
Normal random variable
Lecture, question-answer, discussion, problem solving
10. Week
Some Important Continous Random Variables: Exponential, Erlang, Gamma, and Log-Normal
Lecture, question-answer, discussion, problem solving
11. Week
Joint-Probability Distribution of Two Discrete Random Variables
Lecture, question-answer, discussion, problem solving
12. Week
Joint-Probability Distribution of Two Discrete Random Variables(Continued)
Lecture, question-answer, discussion, problem solving
13. Week
Joint-Probability Distribution of Two Continuous Random Variables
Lecture, question-answer, discussion, problem solving
14. Week
Joint-Probability Distribution of Two Continuous Random Variables (Continued)
Lecture, question-answer, discussion, problem solving
15. Week
Covariance and Correlation
Lecture, question-answer, discussion, problem solving
16. Week
Linear Combination of Random Variables
Lecture, question-answer, discussion, problem solving
17. Week
Final
Exam
Assessments
Evaluation tools
Quantity
Weight(%)
Midterm(s)
1
30
Project(s)
1
20
Final Exam
1
50
Program Outcomes
PO-1
- Develop and deepen the current and advanced knowledge in the field with original thought and/or research and come up with innovative definitions based on Master's degree qualifications.
PO-2
Conceive the interdisciplinary interaction which the field is related with ; come up with original solutions by using knowledge requiring proficiency on analysis, synthesis and assessment of new and complex ideas.
PO-3
Evaluate and use new information within the field in a systematic approach.
PO-4
Develop an innovative knowledge, method, design and/or practice or adapt an already known knowledge, method, design and/or practice to another field; research, conceive, design, adapt and implement an original subject.
PO-5
Critical analysis, synthesis and evaluation of new and complex ideas.
PO-6
Gain advanced level skills in the use of research methods in the field of study.
PO-7
Contribute the progression in the field by producing an innovative idea, skill, design and/or practice or by adapting an already known idea, skill, design, and/or practice to a different field independently.
PO-8
Broaden the borders of the knowledge in the field by producing or interpreting an original work or publishing at least one scientific paper in the field in national and/or international refereed journals.
PO-9
Demonstrate leadership in contexts requiring innovative and interdisciplinary problem solving.
PO-10
Develop new ideas and methods in the field by using high level mental processes such as creative and critical thinking, problem solving and decision making.
PO-11
Investigate and improve social connections and their conducting norms and manage the actions to change them when necessary.
PO-12
Defend original views when exchanging ideas in the field with professionals and communicate effectively by showing competence in the field.
PO-13
Ability to communicate and discuss orally, in written and visually with peers by using a foreign language at least at a level of European Language Portfolio C1 General Level.
PO-14
Contribute to the transition of the community to an information society and its sustainability process by introducing scientific, technological, social or cultural improvements.
PO-15
Demonstrate functional interaction by using strategic decision making processes in solving problems encountered in the field.
PO-16
Contribute to the solution finding process regarding social, scientific, cultural and ethical problems in the field and support the development of these values.
Learning Outcomes
LO-1
Comprehends the nature of a random experiment, identifies the sample points, the state space, events and writes them down in a given problem
LO-2
Lists probability axioms, and applies them to show the validity of basic probability rules
LO-3
Comprehends the concept of conditional probability, and of independence events, distinguishes independent, dependent and mutually exclusive events
LO-4
Applies unconditional, conditional probability rules and Bayes’s Law to compute an event’s probability and interprets this probability
LO-5
Expresses the outcome of a random experiment as a random variable, computes and draws graphs of its probability and cumulative distribution function
