MATA128 Euclidean Plane Geometry (4 cr)
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Description
Content
An axiomatic approach to elementary Euclidean plane geometry; ruler-and-compass constructions; the use of mathematical software to illustrate elementary geometry.
Completion methods
Homeworks and Course exam.
Learning outcomes
- knows the basics of the axiomatic geometry
- can prove central results concerning lines, triangles and circles
- can solve problems using theorems of both congruent and similar triangles and inscribed angles
- can do ruler-and-compass constructions and validate the constructions
- has basic control over some geometry-oriented mathematical software (e.g. Geogebra)
Additional information
28h lectures, 7 exercise sessions
Description of prerequisites
Lukion matematiikan pitkä oppimäärä tai vastaavat tiedot
Study materials
Euclid's Elements
Greenberg: Euclidean and non-Euclidean Geometries
Kurittu, Hokkanen, Kahanpää: Geometria (in Finnish)
Väisälä: Geometria (in Finnish).
Completion methods
Method 1
Method 2
Teaching (4 cr)
28h lectures, 7 exercise sessions
Lecture notes (in Finnish)
Hartshorne: Geometry: Euclid and Beyond (Chapters 1 and 2 and Section 20)
Euclid's Elements
Greenberg: Euclidean and non-Euclidean Geometries
Kurittu, Hokkanen, Kahanpää: Geometria (in Finnish)
Väisälä: Geometria (in Finnish).
Teaching
3/22–5/29/2022 Lectures
5/18–5/18/2022 Exam
5/25–5/25/2022 Exam
Exam (4 cr)
Final exam
Lecture notes (in Finnish)
Hartshorne: Geometry: Euclid and Beyond (Chapters 1 and 2 and Section 20)
Euclid's Elements
Greenberg: Euclidean and non-Euclidean Geometries
Kurittu, Hokkanen, Kahanpää: Geometria (in Finnish)
Väisälä: Geometria (in Finnish).