Rapor Tarihi: 13.04.2026 03:12
| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Possibility | MAE206 | Turkish | Compulsory | 4. Semester | 2 + 0 | 2.0 | 2.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to face |
| Course Coordinator | Doç. Dr. EMİNE NUR ÜNVEREN BİLGİÇ |
| Instructor(s) | Doç. Dr. EMİNE NUR ÜNVEREN BİLGİÇ (Bahar) |
| Goals | To inform the student about probability theory and apply this information to some events or some (random) variables that we may encounter in daily life or scientific research, to calculate related, to teach the expected value (average) of a variable or a data group |
| Course Content | The basic principle of counting; concept of permutation and applications; combination concept and applications; binomial theorem, concept of probability, basic concepts about probability and probability axioms; conditional probability and Bayes theorem; geometric probability problems; random variable concept; probability function, probability density function; expected value and variance of random variables; moment generating functions and moments; some discrete distributions, Bernoulli, binomial, geometric, hypergeometric, Poisson distributions; some continuous distributions, uniform distribution, exponential distribution, normal distribution and their properties. |
| # | Öğrenme Kazanımı |
| 1 | Explain and apply the concept of probability and probability axioms. |
| 2 | Solves problems related to permutations, combinations, sequential and unordered fragmentation, Binomial Theorem. |
| 3 | Solves problems related to conditional probability, independent events, Bayes Theorem. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | The basic principle of counting | Interview |
| 2. Week | Concepts and applications of permutations, combinations, and binomials. | Interview |
| 3. Week | Concepts and applications of permutations, combinations, and binomials. | Interview |
| 4. Week | Concepts and applications of permutations, combinations, and binomials. | Interview |
| 5. Week | Concept of probability, basic concepts related to probability and probability axioms | Interview |
| 6. Week | Concept of probability, basic concepts related to probability and probability axioms | Interview |
| 7. Week | Conditional probability and Bayes theorem | Interview |
| 8. Week | Conditional probability and Bayes theorem | Presentation (Preparation), Question and Answer |
| 9. Week | Conditional probability and Bayes theorem | Interview |
| 10. Week | Random variables, Probability Distribution of Finite Random Variables | Interview |
| 11. Week | Expected Value, Variance and Standard Deviation of a Finite Random Variable, Joint Distribution of Random Variables | Interview |
| 12. Week | Independent Random Variables, Continuous Random Variables | Interview |
| 13. Week | Binomial and Normal Distributions | Interview |
| 14. Week | Markov Processes | Interview |
| Program Requirements | DK1 | DK2 | DK3 |
|---|---|---|---|
| PY1 | 5 | 5 | 5 |
| 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 | 14 | 2 | 28 |
|
Sınavlar |
Midterm | 1 | 1 | 1 |
| Classroom Activities | 11 | 2 | 22 | |
| Total Workload | 51 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 2.0 | ||
