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Information
| Code | EEE214 |
| Name | Probability and Random Variables |
| Term | 2024-2025 Academic Year |
| Semester | 4. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. SELMA TOKER KUTAY |
| Course Instructor |
1 2 |
Course Goal / Objective
To give students knowledge of probability and random variables in order to to develop understanding for random phenomena in engineering.
Course Content
Basic concepts on probability and random variables, distribution functions, probability density function, probability mass function, expected value and variance, moments, bivariate distributions, marginal distributions, conditional distributions, named discrete distributions, named continuous distributions, functions of random variables
Course Precondition
None
Resources
Schaum's Outline of Theory and Problems of Probability and Statistics, Murray R. Spiegel, Schaum's Outline Series, McGraw Hill, 1998. Probability and Random Processes for Electrical and Computer Engineers, John A. Gubner, Cambridge University Press,2006.
Notes
Schaum's Outline of Theory and Problems of Probability, Random Variables, and Random Processes, Hwei P. Hsu, Ph.D.,Schaum's Outline Series, 1996.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Students who attend this course will have the understanding of probability concepts which are the basics of statistics. |
| LO02 | Learns random variables, distribution functions and its properties. |
| LO03 | Learns discrete random variables, probability mass functions, continuous random variables, probability density function and their properties. |
| LO04 | Learns the expected value of a random variable, expectation of a function of a random variable, variance, moments and their properties. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in complex engineering problems. | 3 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Ability to devise, select, and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ computer programming techniques, and information technologies effectively. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions. | 4 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development. | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions. | |
| PLO12 | Bilgi - Kuramsal, Olgusal | Ability to apply the knowledge of electrical-electronics engineering to profession-specific tools and devices. | |
| PLO13 | Bilgi - Kuramsal, Olgusal | Having consciousness about the scientific, social, historical, economical and political facts of the society, world and age lived in. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Set theory, random experiment, event | Review of the tliterature | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 2 | Counting rules, permutation,i combination | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 3 | Probability definitions | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 4 | Consequences of axiomatic probability | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 5 | Conditional probability, Bayes Theorem | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 6 | Independence of events, random variables | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 7 | Discrete and continuous sample spaces, distribution function | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 8 | Mid-Term Exam | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 9 | Midterm Exam | Review of the previous lecture and the literature | Ölçme Yöntemleri: Yazılı Sınav |
| 10 | Marginal distributions, conditional distributions | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 11 | Expected value, variance, moments | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 12 | Moment generating function, probability generating function, characteristic function | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 13 | Probability inequalities, approximation methods | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 14 | Named discrete distributions | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 15 | Named continuous distributions | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 16 | Term Exams | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 17 | Term Exams | Review of the previous lecture and the literature | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||