Discrete Mathematics and ComputabilityLaajuus (5 cr)

Objective

- you learn basics of logical deduction and can use logical deduction tools, such as truth tables and Karnaugh maps.
- you learn basics of predicate logic, basic operations of set theory, relation and function, and knows their connections to the propositional logic.
- you learn induction proof method
- you learn basics of combinatorics and graph theory.
- you learn the fundamental capabilities and limitations of computers.

Content

- Propositional logic
- Predicate logic
- set theory
- Relations
- Functions
- Induction proof
- Combinatorics
- Graph theory
- Automata and languages
- Turing machines.