| Area of Mathematics: | Statistics-Probability-Operational Research (ESPOR) | ||
| Semester: | 1o | ||
| Course ID: | 12301 | ||
| Course Type: | Elective | ||
| Teaching hours per week: | Theory: 4 | Practice: 0 | Laboratory: 0 |
| ECTS : | 5 | ||
| Eclass | For the course’s material, click here. | ||
| Instructors: | |||
Description
- Introductory problems in counting geometric and algebraic formations.
- Basic counting principles, sums and products, recurrence relations.
- Permutations, combinations, partitions of finite sets, integer solutions for linear equations.
- Generalized factorials. Binomial and multinomial coefficients. Binomial theorem. Multinomial theorem.
- Calculation techniques of finite sums.
- Inclusion-exclusion principle and its applications to formation counting.
- Generating functions, generating permutations and combinations, generating functions and linear recurrence relations.
- Allocation models.
Bibliography
- Brualdi R.A. Introductory Combinatorics. Pearson. 2010
- Shahriari S. An invitation to Combinatorics. Cambridge. 2021
