| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Probability And Statistics | BM106 | 2. Semester | 3 + 0 | 3.0 | 4.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Lecture, Presentation, Problem Solving, Discussion |
| Course Coordinator |
Prof. Dr. ALİ ÇALHAN |
| Instructor(s) |
ALİ ÇALHAN |
| Assistants | |
| Goals | Teaching probability theory and statistics |
| Course Content | Probability theory, random variables, variable families, statistics topics |
| Learning Outcomes |
- To be able to understand and relate the concepts of probability theory and set theory - To be able to comprehend probability axioms, conditional probability and bayes' theorem - To be able to understand the subject of events and independent events, to use sequential experiments and tree diagrams. - Understanding of counting methods and independent trials - To be able to understand the concepts of random variable and discrete random variable - To be able to understand the mass function and cumulative distribution function of discrete random variable families. - Ability to calculate mean, expected value, moment, variance and standard deviation in discrete random variables - To be able to understand the density function and cumulative distribution function of continuous random variable families. - Ability to calculate mean, expected value, moment, variance and standard deviation values in continuous random variables - To be able to comprehend the concepts of correlation and covariance with functions of random variable pairs. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | set theory and probability theory | Research Other Activities Verbal Expression Course Hours Visual Presentation Practice Preparation, After Class Study |
| 2. Week | Probability axioms, conditional probability and Bayes' theorem | Visual Presentation Practice Course Hours Preparation, After Class Study Other Activities Research Verbal Expression |
| 3. Week | Independent events, sequential experiments, and tree diagrams | Research Other Activities Verbal Expression Preparation, After Class Study Practice Visual Presentation Course Hours |
| 4. Week | Counting methods and independent trials | Course Hours Preparation, After Class Study Research Practice Visual Presentation Verbal Expression Other Activities |
| 5. Week | Random variable concept and discrete random variables | Verbal Expression Visual Presentation Practice Preparation, After Class Study Research Other Activities Course Hours |
| 6. Week | Discrete random variable families | Other Activities Verbal Expression Visual Presentation Course Hours Preparation, After Class Study Research Practice |
| 7. Week | Probability mass function and cumulative distribution function in discrete random variables | Visual Presentation Course Hours Preparation, After Class Study Research Practice Other Activities Verbal Expression |
| 8. Week | Mean, expected value, moment, variance and standard deviation in discrete random variables | Research Other Activities Verbal Expression Visual Presentation Preparation, After Class Study Course Hours Practice |
| 9. Week | Continuous random variables | Preparation, After Class Study Research Other Activities Verbal Expression Practice Course Hours Visual Presentation |
| 10. Week | Probability density function and cumulative distribution function in continuous random variables | Preparation, After Class Study Other Activities Verbal Expression Visual Presentation Course Hours Research Practice |
| 11. Week | Continuous random variable families | Other Activities Verbal Expression Visual Presentation Course Hours Preparation, After Class Study Practice Research |
| 12. Week | Mean, expected value, moment, variance and standard deviation in continuous random variables | Preparation, After Class Study Other Activities Verbal Expression Visual Presentation Practice Course Hours Research |
| 13. Week | Random variable pairs and expected value | Course Hours Preparation, After Class Study Research Verbal Expression Visual Presentation Other Activities Practice |
| 14. Week | Functions, correlation and covariance of random variable pairs | Verbal Expression Practice Visual Presentation Course Hours Preparation, After Class Study Research Other Activities |
| Probability and Stochastic Processes: A Friendly Introduction for Electrical and Computer Engineers (Roy D. Yates, David J. Goodman) |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | DK8 | DK9 | DK10 | Measurement Method |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 40,60 |
| PY2 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 40,60 |
| PY3 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 40,60 |
| PY4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 40,60 |
| PY5 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 40,60 |
| PY6 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 40,60 |
| PY7 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 40,60 |
| PY8 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 40,60 |
| PY9 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 40,60 |
| PY10 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 40,60 |
| PY11 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 40,60 |
| PY12 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 40,60 |
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
| Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
| Event | Quantity | Duration (Hour) | Total Workload (Hour) |
|---|---|---|---|
| Course Hours | 3 | 14 | 42 |
| Preparation, After Class Study | 1 | 14 | 14 |
| Visual Presentation | 1 | 14 | 14 |
| Practice | 1 | 14 | 14 |
| Midterm 1 | 1 | 1 | 1 |
| Final | 1 | 1 | 1 |
| Practice | 1 | 1 | 1 |
| Practice End-Of-Term | 1 | 1 | 1 |
| Classroom Activities | 1 | 14 | 14 |
| Total Workload | 102 | ||
| ECTS Credit of the Course | 4.0 | ||
