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.
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.
Mid term tests, essay and/or final exam.
Teaching Staff
- Fátima Maria Filipe Pereira [responsible]