| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Possibility | MAE206 | 4. Semester | 2 + 0 | 2.0 | 2.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Face to face |
| Course Coordinator |
Assoc. Prof. Dr. EMİNE NUR ÜNVEREN BİLGİÇ |
| Instructor(s) |
EMİNE NUR ÜNVEREN BİLGİÇ |
| Assistants | |
| 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. |
| Learning Outcomes |
- Explain and apply the concept of probability and probability axioms. - Solves problems related to permutations, combinations, sequential and unordered fragmentation, Binomial Theorem. - Solves problems related to conditional probability, independent events, Bayes Theorem. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | The basic principle of counting | Course Hours Verbal Expression |
| 2. Week | Permutation concept and applications | Course Hours Verbal Expression |
| 3. Week | Combination concept and applications | Verbal Expression Course Hours |
| 4. Week | Binomial theorem | Course Hours Verbal Expression |
| 5. Week | Concept of probability, basic concepts related to probability and probability axioms | Course Hours Verbal Expression |
| 6. Week | Concept of probability, basic concepts related to probability and probability axioms | Course Hours Verbal Expression |
| 7. Week | Conditional probability and Bayes theorem | Course Hours Verbal Expression |
| 8. Week | MIDTERM | |
| 9. Week | Geometric probability problems | Verbal Expression Course Hours |
| 10. Week | Concept of random variable; probability function, probability density function | Verbal Expression Course Hours |
| 11. Week | Expected value and variance of random variables | Verbal Expression Course Hours |
| 12. Week | Moment generating functions and moments | Course Hours Verbal Expression |
| 13. Week | Some discrete distributions, Bernoulli, binomial, geometric, hypergeometric, Poisson distributions | Course Hours Verbal Expression |
| 14. Week | Some discrete distributions, Bernoulli, binomial, geometric, hypergeometric, Poisson distributions | Course Hours Verbal Expression |
| Probability and Statistics, Fikri Akdeniz |
| Olasılık ve İstatistiğe Giriş, Hüseyin Demir |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | Measurement Method |
|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | - |
| 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 | 14 | 2 | 28 |
| Midterm 1 | 1 | 1 | 1 |
| Classroom Activities | 11 | 2 | 22 |
| Total Workload | 51 | ||
| ECTS Credit of the Course | 2.0 | ||
