TÜRKÇE
ENGLISH
Information
| Code | ENM243 |
| Name | Probability And Statistics I |
| Term | 2024-2025 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. RIZVAN EROL |
| Course Instructor |
Prof. Dr. RIZVAN EROL
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
Learn the basic concepts of permutation, combination, probability and random variables and their properties. Learn to design and analyze the data
Course Content
Permutation, combination, probability, sampling, measures of central tendency ,random variables
Course Precondition
None
Resources
MONTGOMERY, D. C. & RUNGER, G. C., 2018, Applied Statistics and Probability for Engineers (7th edition), John Wiley& Sons, Inc.
Notes
STEPHENS, L. J. SPİEGEL, M. J., 2013, İstatistik/Statistics - Schaum's Serisi, Çelebioğlu, S.(çeviri editörü)
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Solve the problems of permutation and combination |
| LO02 | Use the probability of an event, probability axioms, and some of the rules of probability |
| LO03 | Apply conditional probability, independent events, Bayes theorem |
| LO04 | Organize and analyze data |
| LO05 | Understand measures of central tendency and dispersion measures |
| LO06 | Know the concept of a random variable, the distribution of a random variable |
| LO07 | Describe the expected value of a random variable, the variance and their properties |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Have sufficient knowledge of mathematics, science and related engineering disciplines; can use the theoretical and applied knowledge in these fields in complex engineering problems. | |
| PLO02 | Bilgi - Kuramsal, Olgusal | Acquire the ability to identify, define, formulate and solve complex Industrial Engineering problems; for this purpose, will have the ability to choose and apply appropriate analysis and modeling methods. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; can apply modern design methods for this purpose. | 3 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Develops modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications, and has the ability to use information technologies effectively. | 3 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Have the ability to design experiments, collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics. | 5 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Have the ability to work effectively in disciplinary and multi-disciplinary teams or individually. | |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Ability to communicate effectively in Turkish orally and in writing; knowledge of at least one foreign language; have the ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Have the awareness of the necessity of lifelong learning; can follow the developments in science and technology and have the ability to constantly renew themselves. | |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Acts in accordance with ethical principles, has knowledge about the standards used in engineering applications with the awareness of professional and ethical responsibility. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Gain knowledge of business practices such as project management, risk management and change management; become aware of entrepreneurship and innovation. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Gains knowledge about the effects of engineering practices on health, environment and safety in universal and social dimensions and the problems of the age reflected in the field of engineering and has awareness of the legal consequences of engineering solutions. | 3 |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | They can benefit from the power of effective communication in their professional life and have the ability to interpret developments correctly. | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Have the ability to design, develop, implement and improve integrated systems involving machine, time, information and money. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Have the ability to design, develop, implement and improve complex products, processes, businesses, systems by applying modern design methods, under realistic conditions and constraints such as cost, environment, sustainability, manufacturability, ethical, health, safety and political issues. | 2 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Sample spaces and events | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 2 | Permutation | Source reading | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Combination | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 4 | Ordered and unordered disruptions, Binomial expansion | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 5 | Probability of an event, Probability axioms, | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 6 | Conditional Probability | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 7 | Independent events, Bayes theorem | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 8 | Mid-Term Exam | Source reading | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Methods of sample selection | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 10 | Data Organization, Frequency Distribution, Graphical Representations | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 11 | Measures of Central Tendency, Measures of Dispersion | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 12 | Measure of skewness and kurtosis, Coefficient of variation | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 13 | Distribution of Discrete Random Variable | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 14 | Distribution of Continous Random Variable | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 15 | Expected Value, Variance and their properites | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 16 | Term Exams | Source reading | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Source reading | 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 | 7 | 7 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 109 | ||
| Total Workload / 25 (h) | 4,36 | ||
| ECTS | 4 ECTS | ||