TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| ELECTRICAL-ELECTRONIC ENGINEERING PR. (ENGLISH) | |
| Code | EEE214 |
| Name | Probability and Random Variables |
| Term | 2018-2019 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 |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. SELMA TOKER KUTAY |
| Course Instructor |
Doç. Dr. SELMA TOKER KUTAY
(Bahar)
(A Group)
(Ins. in Charge)
|
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
Yok
Resources
Notes
123
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 | - | Has capability in those fields of mathematics and physics that form the foundations of engineering. | 0 |
| PLO02 | - | Grasps the main knowledge in the basic topics of electrical and electronic engineering. | 0 |
| PLO03 | - | Comprehends the functional integrity of the knowledge gathered in the fields of basic engineering and electrical-electronics engineering. | 0 |
| PLO04 | - | Identifies problems and analyzes the identified problems based on the gathered professional knowledge. | 0 |
| PLO05 | - | Formulates and solves a given theoretical problem using the knowledge of basic engineering. | 2 |
| PLO06 | - | Has aptitude for computer and information technologies | 0 |
| PLO07 | - | Knows English at a level adequate to comprehend the main points of a scientific text, either general or about his profession, written in English. | 0 |
| PLO08 | - | Has the ability to apply the knowledge of electrical-electronic engineering to profession-specific tools and devices. | 0 |
| PLO09 | - | Has the ability to write a computer code towards a specific purpose using a familiar programming language. | 0 |
| PLO10 | - | Has the ability to work either through a purpose oriented program or in union within a group where responsibilities are shared. | 0 |
| PLO11 | - | Has the aptitude to identify proper sources of information, reaches them and uses them efficiently. | 2 |
| PLO12 | - | Becomes able to communicate with other people with a proper style and uses an appropriate language. | 0 |
| PLO13 | - | Internalizes the ethical values prescribed by his profession in particular and by the professional life in general. | 0 |
| PLO14 | - | Has consciousness about the scientific, social, historical, economical and political facts of the society, world and age lived in. | 1 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Set theory, random experiment, event | Review of the tliterature | |
| 2 | Counting rules, permutation,i combination | Review of the previous lecture and the literature | |
| 3 | Probability definitions | Review of the previous lecture and the literature | |
| 4 | Consequences of axiomatic probability | Review of the previous lecture and the literature | |
| 5 | Conditional probability, Bayes Theorem | Review of the previous lecture and the literature | |
| 6 | Independence of events, random variables | Review of the previous lecture and the literature | |
| 7 | Discrete and continuous sample spaces, distribution function | Review of the previous lecture and the literature | |
| 8 | Probability density function, probability mass function, bivariate distributions | Review of the previous lecture and the literature | |
| 9 | Midterm Exam | Review of the previous lecture and the literature | |
| 10 | Marginal distributions, conditional distributions | Review of the previous lecture and the literature | |
| 11 | Expected value, variance, moments | Review of the previous lecture and the literature | |
| 12 | Moment generating function, probability generating function, characteristic function | Review of the previous lecture and the literature | |
| 13 | Probability inequalities, approximation methods | Review of the previous lecture and the literature | |
| 14 | Named discrete distributions | Review of the previous lecture and the literature | |
| 15 | Named continuous distributions | Review of the previous lecture and the literature | |
| 16 | Functions of random variables | Review of the previous lecture and the literature | |
| 17 | Functions of random variables | Review of the previous lecture and the literature |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
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 | ||