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ENGLISH
Information
| Code | CEN220 |
| Name | Probability and Statistics |
| Semester | 4. Semester |
| Duration (T+A) | 3-1 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. MEHMET FATİH AKAY |
Course Goal
Introduce the student with probability concepts and their relation to the events.
Course Content
Probability, conditional probability, Bernoulli trials, the concept of a random variable, distribution and density functions, specific random variables, conditional distributions, functions of one random variable, mean and variance, functions of two random variables, conditional expected values, stochastic processes, systems with stochastic inputs, the power spectrum, discrete-time processes, poisson process.
Course Precondition
There is no prerequisite.
Resources
“Statistics for Business and Economics” Paul Newbold, William L. Carlson and Betty Thorne, Upper Saddle River, N.J. : Prentice Hall, cop. 2007, 7th ed.
Notes
Navidi, William (2019) Statistics for Engineers and Scientists, 5th ed., McGraw Hill.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Learn probability and conditional probability. |
| LO02 | LearnBernoulli trials. |
| LO03 | Learn random variables and types of random variables. |
| LO04 | Learn expected value and variance |
| LO05 | Learn random functions. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has capability in the fields of mathematics, science and computer that form the foundations of engineering | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Identifies, formulates, and solves engineering problems, selects and applies appropriate analytical methods and modeling techniques, | 5 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Analyzes a system, its component, or process and designs under realistic constraints to meet the desired requirements,gains the ability to apply the methods of modern design accordingly. | 3 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Ability to use modern techniques and tools necessary for engineering practice and information technologies effectively. | 2 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Ability to design and to conduct experiments, to collect data, to analyze and to interpret results | 3 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Has ability to work effectively as an individual and in multi-disciplinary teams, take sresponsibility and builds self-confidence | 2 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Can access information,gains the ability to do resource research and uses information resources | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Awareness of the requirement of lifelong learning, to follow developments in science and technology and continuous self-renewal ability | 3 |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Ability to communicate effectively orally and in writing, and to read and understand technical publications in at least one foreign language | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Professional and ethical responsibility, | 5 |
| PLO11 | Yetkinlikler - Öğrenme Yetkinliği | Awareness about project management, workplace practices, employee health, environmental and occupational safety, and the legal implications of engineering applications, | 3 |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Becomes aware of universal and social effects of engineering solutions and applications, entrepreneurship and innovation, and knowledge of contemporary issues |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to probability | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 2 | Set theory and conditional probability | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 3 | Bernoulli trials | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 4 | Random variables | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 5 | Cumulative distribution function | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 6 | Probability density function | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 7 | Specific random variables | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | There is no prerequisite. | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Discrete random variables | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 10 | Conditional distributions | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 11 | Asymptotic approximations | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 12 | Functions of one random variable | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 13 | Expected value | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 14 | Functions of two random variables | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 15 | Sample of Problems | There is no prerequisite. | Öğretim Yöntemleri: Anlatım |
| 16 | Term Exams | There is no prerequisite. | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | There is no prerequisite. | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 4 | 56 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 4 | 56 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 1 | 1 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 28 | 28 |
| Total Workload (Hour) | 153 | ||
| Total Workload / 25 (h) | 6,12 | ||
| ECTS | 6 ECTS | ||