CEN220 Probability and Statistics

6 ECTS - 3-1 Duration (T+A)- 4. Semester- 3 National Credit

Information

Code CEN220
Name Probability and Statistics
Term 2022-2023 Academic Year
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 Instructor Prof. Dr. MEHMET FATİH AKAY (A Group) (Ins. in Charge)


Course Goal / Objective

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

Yok

Resources

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 2
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 3
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 2


Week Plan

Week Topic Preparation Methods
1 Introduction to probability Öğretim Yöntemleri:
Anlatım
2 Set theory and conditional probability Öğretim Yöntemleri:
Anlatım
3 Bernoulli trials Öğretim Yöntemleri:
Anlatım
4 Random variables Öğretim Yöntemleri:
Anlatım
5 Cumulative distribution function Öğretim Yöntemleri:
Anlatım
6 Probability density function Öğretim Yöntemleri:
Anlatım
7 Specific random variables Öğretim Yöntemleri:
Anlatım
8 Mid-Term Exam Ölçme Yöntemleri:
Yazılı Sınav
9 Discrete random variables Öğretim Yöntemleri:
Anlatım
10 Conditional distributions Öğretim Yöntemleri:
Anlatım
11 Asymptotic approximations Öğretim Yöntemleri:
Anlatım
12 Functions of one random variable Öğretim Yöntemleri:
Anlatım
13 Expected value Öğretim Yöntemleri:
Anlatım
14 Functions of two random variables Öğretim Yöntemleri:
Anlatım
15 Sample of Problems Öğretim Yöntemleri:
Anlatım
16 Term Exams Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams 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

Update Time: 14.11.2022 10:46