2024

Elementary Geometry

Name: Elementary Geometry
Code: MAT01648L
5 ECTS
Duration: 15 weeks/130 hours
Scientific Area: Mathematics

Teaching languages: Portuguese
Languages of tutoring support: Portuguese, English
Regime de Frequência: Presencial

Sustainable Development Goals

Learning Goals

Elementary mathematical formation in the area of geometry. To prepare the students to pose and to solve geometrical problems. To develop the interest for mathematical research and teaching.

Contents

Plane geometry: Geometry without distance. Figures in the plane and its properties. Plane curves, the conics. Ruler and compass constructions.

Geometry in space: Poliedros,conics again. Knots. Brief speculation on non-euclidean geometries. Combinatorial geometry. Paper folding. Flexagons.

Geometry - Physics: The point, the line,the plane, the space. The ruler, the measure. The clock. Measuring systems. Units. The space-time. Notions of kinematics and dynamics.

Teaching Methods

Lectures and group activities.
Mid term tests, essay and/or final exam.

Teaching Staff