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Information
| Code | MATZ208 |
| Name | Probablity |
| Term | 2023-2024 Academic Year |
| Semester | 4. Semester |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 3 ECTS |
| National Credit | 2 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. KAMURAN TARIM |
| Course Instructor |
Prof. Dr. SELAHATTİN KAÇIRANLAR
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
Understanding the basic principle of counting and probability related problems and recognition of distributions
Course Content
The basic principles of counting; permutation, combination; basic concepts in probability theory; Addition and multiplication rule; bayes theorem; random variables; expected value; variance and applications; basic concepts in discrete probability distributions; bernoulli, binomial, polynomial, negative binomial; poisson and hyper geometric distribution and applied studies; basic concepts in constant probability distributions; normal distribution and applied studies
Course Precondition
none
Resources
Akadeniz, F. (2018) Olasılık ve İstatistik. Nobel.
Notes
Related digital resources
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Understand the basic principle of counting. |
| LO02 | Define permutation and combination. |
| LO03 | Explain the basic concepts of probability and solve their problems. |
| LO04 | Explains the probability function and probability density function. |
| LO05 | Defines discrete probability distributions and creates probability functions. |
| LO06 | Defines constant probability distributions and creates probability functions. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has enough knowledge about mathematics. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Has pedagogical knowledge about teaching profession and field. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Implements classroom management approaches to be used in educational environments effectively. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Prepares the learning environments in which appropriate teaching methods are used for effective mathematics education in accordance with development and age levels. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Knows the relationship between Mathematics-Society-Environment-History and uses it in professional and daily life. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Uses Turkish properly and effectively according to the rules. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Selects and designs appropriate materials, in mathematics teaching. | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Monitors students' progress using different assessment and evaluation methods and techniques. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Takes responsibility as an individual and as a team member to solve problems related to the field. | |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Has life-long learning awareness. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Shares his/her knowledge and skills, problems and solutions that he/she identified by means of oral and written communication with the expert and non-expert people. | |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Uses information and communication technologies and other related materials for an effective mathematics teaching. | |
| PLO13 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Has enough foreign language knowledge to follow foreign resources related to the field. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Has the knowledge of the purpose, structure and functioning of the Turkish education system. | |
| PLO15 | Yetkinlikler - Öğrenme Yetkinliği | Becomes a teacher who adheres to Atatürk's principles and revolutions. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | The basic principle of counting | Examining the related sources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma, Problem Çözme |
| 2 | Permutation, combination, binomial theorem | Examining the related sources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma, Problem Çözme |
| 3 | Permutation-combination applications | Examining the related sources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma, Problem Çözme |
| 4 | Probability concept and related basic information / axioms | Examining the related sources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma, Problem Çözme |
| 5 | Conditional probability and Bayes theorem | Examining the related sources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma, Problem Çözme |
| 6 | Geometric probability problems | Examining the related sources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 7 | Discrete random variables and functions | Examining the related sources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma, Problem Çözme |
| 8 | Mid-Term Exam | prep. exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Constant random variables and function | Examining the related sources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma, Problem Çözme |
| 10 | Two variables probability functions | Examining the related sources | Öğretim Yöntemleri: Anlatım, Tartışma, Alıştırma ve Uygulama, Problem Çözme |
| 11 | Expected values of random variables | Examining the related sources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma, Problem Çözme |
| 12 | Variances and moments of random variables | Examining the related sources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma, Problem Çözme |
| 13 | Discrete probability distributions | Examining the related sources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma, Problem Çözme |
| 14 | Discrete probability distributions 2 | Examining the related sources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma, Problem Çözme |
| 15 | Constant probability distributions | Examining the related sources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma, Problem Çözme |
| 16 | Term Exams | preperation exam | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | preperation exam | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 2 | 28 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 2 | 28 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 6 | 6 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 78 | ||
| Total Workload / 25 (h) | 3,12 | ||
| ECTS | 3 ECTS | ||