ripaoj testi2 ENLaajuus (5 cr)

Objective

Basics in Algebra After completing the course, student is able to: - derive and proof main results in the course - use and apply different proof techniques - recognize algebraic structures and the concepts - see connections and differences between different algebraic structures

Content

The course includes basics in arithmetics and algebraic structures, such as, congruence, residue classes, prime numbres, Euclidean algorithm, the fundamental theorem of arithmetic, Euler-Fermat formula, groups and morphisms. The course gives an understanding of algebraic terms and concepts used in mathematics and physics.

Qualifications

Prerequisites and co-requisites 802151P Introduction to mathematical deduction Recommended optional programme components -

Assessment criteria, satisfactory (1)

1-5, fail

Assessment criteria, good (3)

1-5, fail

Materials

Lecture notes

Further information

Language of instruction Finnish Timing 1. year, 3. period Target group Major and minor students Person responsible Kari Myllylä

Execution methods

Mode of delivery Face-to-face teaching 28 h lectures, 14 h exercises

Accomplishment methods

Final exam