Subject 'Transition to Advanced Mathematics'

Year:   2019/2020    

University of Tartu

Giving first knowledge to the students about modern mathematics of application general notions and methods.

After passing the course students
1. know main notions of set theory, combinatorics and graph theory
2. can use them in solving simple problems
3. are prepared to use them in other disciplines
4. know main notions of propositional calculus
5. can relate operations of propositional calculus with natural language propositions
6. is sufficiently careful not to use formulae without understanding the meaning

Notion of a sets, operations with sets, functions relations, relations of equivalence and partitions to the classes, capacity of a set, ordered sets, main notions of combinatorics and graph theory. Main notions of propositional calculus. Logically equivalent formulae. Disjunctive normal form of formulae.