| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Probability and Statistics | EEM267 | Turkish | Compulsory | 3. Semester | 3 + 0 | 3.0 | 5.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face-to-face and online |
| Course Coordinator | Prof. Dr. Selman KULAÇ, Dr. Öğr. Üyesi OSMAN DİKMEN, Arş. Gör. Elif Eda TAKGİL |
| Instructor(s) | Dr. Öğr. Üyesi OSMAN DİKMEN (Güz) |
| Goals | To enable students to learn probabilistic and statistical concepts that they can use in electrical-electronic system analysis and design, especially communication systems. In addition, relevant current issues are researched and presented in the classroom environment. |
| Course Content | 1. Introduction to probability 2. Discrete and continuous random variables 3. Two-dimensional distributions 4. Short introduction 5. Statistical hypothesis testing and linear models 6. Regression and Analysis of Variance |
| # | Öğrenme Kazanımı |
| 1 | To learn basic probability concepts |
| 2 | To have knowledge about random variables and probability functions |
| 3 | To have knowledge about discrete and continous distributions |
| 4 | To learn basic statistical concepts |
| 5 | To have knowledge about statistical analysis methods |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Introduction to probability, sample space and event, joint event, probability axioms | |
| 2. Week | Conditional probability, tree diagrams, total probability formula, Bayes' theorem, independence | |
| 3. Week | Distribution and density functions of continuous and discrete random variables, mean and standard deviation values | |
| 4. Week | Moment concept, relationship between moments, Chebyshev inequality | |
| 5. Week | Bivariate (joint) discrete and continuous random variables | |
| 6. Week | Conditional probability distributions, sample problems | |
| 7. Week | Concepts of covariance, correlation and correlation coefficient | |
| 8. Week | Solving questions | |
| 9. Week | Discrete distributions: bernoulli, binomial, negative binomial, geometric, poisson and hypergeometric | |
| 10. Week | Continuous distributions: uıniform, exponential, normal distributions | |
| 11. Week | Sampling, statistical estimation, confidence intervals | |
| 12. Week | Hypothesis testing, power of test, independence test | |
| 13. Week | Regression analysis: linear regression, least squares method, multiple regression | |
| 14. Week | Variance analysis |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Adequate knowledge in mathematics, science, and related engineering disciplines; ability to use theoretical and applied information in these areas to solve complex engineering problems. | ✔ | |||||
| 2 | Ability to identify, formulate, and solve complex engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose. | ✔ | |||||
| 3 | Ability to design a complex system, process, device, or product under realistic constraints and conditions to meet specific requirements; ability to apply modern design methods for this purpose. | ✔ | |||||
| 4 | Ability to 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. | ✔ | |||||
| 5 | Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics. | ✔ | |||||
| 6 | Ability to work effectively in disciplinary and multidisciplinary teams; ability to work individually. | ✔ | |||||
| 7 | Ability to communicate effectively both 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. | ✔ | |||||
| 8 | Awareness of the necessity of lifelong learning; the ability to access information, to follow developments in science and technology, and to constantly renew oneself. | ✔ | |||||
| 9 | Knowledge about behaving by ethical principles, professional and ethical responsibility, and standards used in engineering practices. | ||||||
| 10 | Knowledge of business life practices such as project management, risk management, and change management; awareness of entrepreneurship, and innovation; knowledge of sustainable development. | ||||||
| 11 | Knowledge about the global and societal effects of engineering practices on health, environment, and safety and contemporary issues reflected in the field of engineering; awareness of the legal consequences of engineering solutions. | ||||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 |
|---|---|---|---|---|---|
| PY1 | 4 | 4 | 4 | 4 | 4 |
| PY2 | 4 | 4 | 4 | 4 | 4 |
| PY3 | 3 | 3 | 3 | 3 | 3 |
| PY4 | 3 | 3 | 3 | 3 | 3 |
| PY5 | 3 | 3 | 3 | 3 | 3 |
| PY6 | 2 | 2 | 2 | 2 | 2 |
| PY7 | 2 | 2 | 2 | 2 | 2 |
| PY8 | 2 | 2 | 2 | 2 | 2 |
| PY9 | 0 | 0 | 0 | 0 | 0 |
| PY10 | 0 | 0 | 0 | 0 | 0 |
| PY11 | 0 | 0 | 0 | 0 | 0 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Sınavlar |
Midterm 1 | 1 | 25 | 25 |
| Homework 1 | 1 | 15 | 15 | |
| Final | 1 | 25 | 25 | |
| Practice | 1 | 10 | 10 | |
| Practice End-Of-Term | 1 | 10.5 | 10.5 | |
| Classroom Activities | 14 | 3 | 42 | |
| Total Workload | 127.5 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 5.0 | ||
