Rapor Tarihi: 24.02.2026 22:09
| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Probability And Statistics | BM106 | Turkish | Compulsory | 2. Semester | 3 + 0 | 3.0 | 4.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Lecture, Presentation, Problem Solving, Discussion |
| Course Coordinator | Prof. Dr. ALİ ÇALHAN |
| Instructor(s) | Prof. Dr. ALİ ÇALHAN (Bahar) |
| Goals | Teaching probability theory and statistics |
| Course Content | Probability theory, random variables, variable families, statistics topics |
| # | Öğrenme Kazanımı |
| 1 | To be able to understand and relate the concepts of probability theory and set theory |
| 2 | To be able to comprehend probability axioms, conditional probability and bayes' theorem |
| 3 | To be able to understand the subject of events and independent events, to use sequential experiments and tree diagrams. |
| 4 | Understanding of counting methods and independent trials |
| 5 | To be able to understand the concepts of random variable and discrete random variable |
| 6 | To be able to understand the mass function and cumulative distribution function of discrete random variable families. |
| 7 | Ability to calculate mean, expected value, moment, variance and standard deviation in discrete random variables |
| 8 | To be able to understand the density function and cumulative distribution function of continuous random variable families. |
| 9 | Ability to calculate mean, expected value, moment, variance and standard deviation values in continuous random variables |
| 10 | To be able to comprehend the concepts of correlation and covariance with functions of random variable pairs. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | set theory and probability theory | Preparation, After Class Study, Research, Other Activities, Interview, Presentation (Preparation), Practice |
| 2. Week | Probability axioms, conditional probability and Bayes' theorem | Preparation, After Class Study, Research, Other Activities, Interview, Presentation (Preparation), Practice |
| 3. Week | Independent events, sequential experiments, and tree diagrams | Preparation, After Class Study, Research, Other Activities, Interview, Presentation (Preparation), Practice |
| 4. Week | Counting methods and independent trials | Preparation, After Class Study, Research, Other Activities, Interview, Presentation (Preparation), Practice |
| 5. Week | Random variable concept and discrete random variables | Preparation, After Class Study, Research, Other Activities, Interview, Presentation (Preparation), Practice |
| 6. Week | Discrete random variable families | Preparation, After Class Study, Research, Other Activities, Interview, Presentation (Preparation), Practice |
| 7. Week | Probability mass function and cumulative distribution function in discrete random variables | Preparation, After Class Study, Research, Other Activities, Interview, Presentation (Preparation), Practice |
| 8. Week | Mean, expected value, moment, variance and standard deviation in discrete random variables | Preparation, After Class Study, Research, Other Activities, Interview, Presentation (Preparation), Practice |
| 9. Week | Continuous random variables | Preparation, After Class Study, Research, Other Activities, Interview, Presentation (Preparation), Practice |
| 10. Week | Probability density function and cumulative distribution function in continuous random variables | Preparation, After Class Study, Research, Other Activities, Interview, Presentation (Preparation), Practice |
| 11. Week | Continuous random variable families | Preparation, After Class Study, Research, Other Activities, Interview, Presentation (Preparation), Practice |
| 12. Week | Mean, expected value, moment, variance and standard deviation in continuous random variables | Preparation, After Class Study, Research, Other Activities, Interview, Presentation (Preparation), Practice |
| 13. Week | Random variable pairs and expected value | Preparation, After Class Study, Research, Other Activities, Interview, Presentation (Preparation), Practice |
| 14. Week | Functions, correlation and covariance of random variable pairs | Preparation, After Class Study, Research, Other Activities, Interview, Presentation (Preparation), Practice |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Adequate knowledge of mathematics, science and related engineering disciplines; Ability to use theoretical and applied knowledge in these fields in complex engineering problems | ✔ | |||||
| 2 | Ability to identify, define, formulate and solve complex engineering problems; for this purpose, the ability to select and apply appropriate analysis and modeling methods | ✔ | |||||
| 3 | Knowledge and awareness about the management, control, development and security/reliability of Information Technologies | ✔ | |||||
| 4 | Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; for this purpose, the ability to apply modern design methods | ✔ | |||||
| 5 | Awareness of the necessity of lifelong learning; ability to access information, follow developments in science and technology, and constantly renew oneself | ✔ | |||||
| 6 | Ability to design and conduct experiments, collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics | ✔ | |||||
| 7 | Ability to work effectively in disciplinary and multi-disciplinary teams; individual study skills | ✔ | |||||
| 8 | Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice; Ability to use information technologies effectively | ✔ | |||||
| 9 | Knowledge of 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; awareness of the legal consequences of engineering solutions | ✔ | |||||
| 10 | Ability to communicate effectively in Turkish orally and in writing; knowledge of at least one foreign language; 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 | ✔ | |||||
| 11 | Behaving in accordance with ethical principles, awareness of professional and ethical responsibility; information about standards used in engineering applications | ✔ | |||||
| 12 | Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship, innovation; information about sustainable development | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | DK8 | DK9 | DK10 |
|---|---|---|---|---|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| PY2 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| PY3 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| PY4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| PY5 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| PY6 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| PY7 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| PY8 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| PY9 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| PY10 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| PY11 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| PY12 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 3 | 14 | 42 |
|
Ders Dışı |
Preparation, After Class Study | 1 | 14 | 14 |
| Presentation (Preparation) | 1 | 14 | 14 | |
| Practice | 1 | 14 | 14 | |
|
Sınavlar |
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 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 4.0 | ||
