Course content

MAT1140 provides a first introduction to abstract mathematics. Mathematical structures that are common to several branches are introduced, and the course gives training in mathematical reasoning. There are no prerequisites beyond high school mathematics, but it can be advantageous to have been exposed to rigorous mathematical arguments. MAT1140 lays a theoretical foundation for further studies in mathematics.

Learning outcome

After completing the course you

  • can analyze the logical structure of propositions, know common proof techniques, and can present mathematical arguments in a clear and well-organized manner, with correct terminology and notation
  • know the concepts of sets and boolean operations, can carry out arguments about sets and families of sets, know the concept of cardinality, and the most important properties of countable sets
  • know the concept