# MATA128 Euclidean Plane Geometry (4 cr)

**Study level:**

Intermediate studies

**Grading scale:**

0-5

**Language:**

English, Finnish

**Responsible organisation:**

Department of Mathematics and Statistics

**Curriculum periods:**

2024-2025, 2025-2026, 2026-2027, 2027-2028

## Tweet text

An axiomatic approach to elementary Euclidean plane geometry

## Description

An axiomatic approach to elementary Euclidean plane geometry; ruler-and-compass constructions; the use of mathematical software to illustrate elementary geometry.

## 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)

## 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).

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

**Language:**

Finnish

#### Teaching

##### 3/18–5/25/2025 Lectures

x

### Exam (4 cr)

**Type:**

Exam

**Grading scale:**

0-5

**Language:**

Finnish