| Code |
Course Name |
Language |
Type |
| MAT 221 |
Probability Theory |
Turkish |
Compulsory |
| Local Credits |
ECTS |
Theoretical |
Tutorial |
Laboratory |
| 3 |
6.5 |
3 |
0 |
0 |
| Course Prerequisites and Class Restriction |
| Prerequisites |
None |
| Class Restriction |
None |
| Course Description |
| Sample space, probability measure on a sigma-algebra. Kolmogorov axioms, conditional probability. Combinatorial methods,
Bayes theorem. Random variables. Discrete density functions, Continuous density functions. Functions of random variables.
Bivariate joint density functions, marginal and conditional density functions, independent random variables. Definition and
properties of expectations. Special expectations. Chebyshev inequality. Moment generating function. Discrete and Continuous
distributions. Limit theorems; law of large numbers, central limit theorem, Slutsky teorem. Markov chains. |
|
