LF00CS57 Euclidean Geometry (4 cr)

Cooperation network course

Network: Cross-institutional studies in advanced courses in mathematics and statistics

This course is offered through the Network for Advanced Studies in Mathematics. These studies are available for the following degree students:

  • Bachelor's Degree Programme in Mathematics
  • Master's Degree Programme in Mathematics
  • Bachelor's Degree Programme in Mathematics (Subject Teacher)
  • Master's Degree Programme in Mathematics (Subject Teacher)
  • Bachelor's Degree Programme in Mathematics, Chemistry or Physics Subject Teacher Education and Primary Teacher Education (Specialication in Mathematics)
  • Master's Degree Programme in Mathematics, Chemistry or Physics Subject Teacher Education and Primary Teacher Education (Specialication in Mathematics)
  • Doctoral Programme in Mathematics and Statistics
  • Doctoral Programme in Mathematics and Science (Specialication in Mathematics)

More about the network →

Open the course unit brochure on Sisu
Grading scale:
0-5
Language:
Finnish

Description

Until 31.7.2025: Basic concepts and classic results of Euclidean plane geometry, axiomatic system and axiomatic reasoning, constructions with a compass and a ruler, congruence and similarity theorems for triangles, isometries and similarities. From 1.8.2025: • Basic concepts and classic results of Euclidean plane geometry, for example, triangle inequality, inscribed angle theorem and Pythagoras’ theorem • Axiomatic system and axiomatic reasoning • Constructions with a compass and a ruler • Congruence and similarity theorems for triangles • Isometries and similarities • Congruence and similarity of plane geometric figures

Learning outcomes

After completing the course, the student will be able to • know the historic background, basic concepts and the most central theorems of the classical euclidean geometry • know the basic principles of axiomatic reasoning • produce exact proofs in the context of classical Euclidean geometry • know the basic principles of ruler-and-compass constructions, as well as the principles to show the constructions valid. • present exact arguments clearly both in a written and oral form, in the context of Euclidean geometry • evaluate sufficiency and validity of geometrical arguments and proofs.

Additional information

This course is intended for the following student groups: • Mathematics majors • Minor subject students • Open University students and lifelong learners Period 2 Joensuu Campus

Description of prerequisites

Basic studies in mathematics.