| 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) | |
| 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 Class Hours |
| 2. Week | Permutation concept and applications | Interview Class Hours |
| 3. Week | Combination concept and applications | Class Hours Interview |
| 4. Week | Binomial theorem | Interview Class Hours |
| 5. Week | Concept of probability, basic concepts related to probability and probability axioms | Class Hours Interview |
| 6. Week | Concept of probability, basic concepts related to probability and probability axioms | Class Hours Interview |
| 7. Week | Conditional probability and Bayes theorem | Interview Class Hours |
| 8. Week | MIDTERM | |
| 9. Week | Geometric probability problems | Interview Class Hours |
| 10. Week | Concept of random variable; probability function, probability density function | Interview Class Hours |
| 11. Week | Expected value and variance of random variables | Interview Class Hours |
| 12. Week | Moment generating functions and moments | Interview Class Hours |
| 13. Week | Some discrete distributions, Bernoulli, binomial, geometric, hypergeometric, Poisson distributions | Interview Class Hours |
| 14. Week | Some discrete distributions, Bernoulli, binomial, geometric, hypergeometric, Poisson distributions | Class Hours Interview |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | They know and apply contemporary teaching methods and techniques, assessment and evaluation methods. | ✔ | |||||
| 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 | 1 |
| Classroom Activities | 11 | 2 | 22 | |
| Total Workload | 51 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 2.0 | ||
