MATA128 Euclidean Plane Geometry (4 cr)

Open the course unit brochure on Sisu
Study level:
Intermediate studies
Grading scale:
0-5
Language:
English, Finnish
Responsible organisation:
Department of Mathematics and Statistics
Curriculum periods:
2020-2021, 2021-2022, 2022-2023, 2023-2024

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An axiomatic approach to elementary Euclidean plane geometry

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

After the course the student
  • 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

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).

Completion methods

Method 1

Evaluation criteria:
Homeworks and Course exam
Time of teaching:
Period 4
Select all marked parts

Method 2

Evaluation criteria:
Final exam
Select all marked parts
Parts of the completion methods
x

Teaching (4 cr)

Type:
Participation in teaching
Grading scale:
0-5
Evaluation criteria:
Homeworks and Course exam.
Language:
Finnish
Study methods:

28h lectures, 7 exercise sessions

Study materials:

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

x

Exam (4 cr)

Type:
Exam
Grading scale:
0-5
Evaluation criteria:
Final Exam
Language:
English, Finnish
Study methods:

Final exam

Study materials:

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