Single-Course
Danish
5 ECTS
Discrete Mathematics
Overall Course Objectives
The overall goal of the course is to be able to identify, apply, and analyze basic concepts and techniques from discrete mathematics.
Learning Objectives
- Use general mathematical language, terms and notation.
- Decide correctness (or incorrectness) of simple mathematical statements.
- Identify logical structure of simple mathematical proofs.
- Apply basic concepts in elementary mathematical logic.
- Apply basic counting techniques.
- Apply binomial coefficients and identities.
- Apply basic concepts in graph theory.
- Argue for choice of method in problem solving.
Course Content
Introductory discrete mathematics such as logic, sets, functions, relations, induction and recursion, modulo arithmetic, counting, binomial coefficients and identities, inclusion-exclusion, finite and infinite graphs.
Teaching Method
Lectures and exercise classes.