Course Content

Prerequisites: 20119531 Linear Algebra Brief syllabus 1. Operations over sets, logical notation, relations. 2. Enumeration of combinatorial objects: integer numbers, functions, main principles of combinatorics. 3. Elementary combinatorics: ordered and unordered sets and multisets, binomial and multinomial coefficients. 4. Principle of inclusion and exclusion, Euler function. 5. Graphs: representation and isomorphism of graphs, valency, paths and cycles. 6. Recursion and generating functions: recursive definitions, usual and exponential generating functions, linear recurrent relations with constant coefficients. 7. (Optional) Modular arithmetics: congruences of integer numbers, Zm, invertible elements in Zm.