2024
Geometry II
Name: Geometry II
Code: MAT14236L
6 ECTS
Duration: 15 weeks/156 hours
Scientific Area:
Mathematics
Teaching languages: Portuguese
Languages of tutoring support: Portuguese
Presentation
In this curricular unit the student is studied the projective geometry, from an axiomatic point of view, working on some of its fundamental results.
Sustainable Development Goals
Learning Goals
O1 - Knowledge: experiencing projective geometry, from an axiomatic point of view, working on some of its fundamental results.
O2 - Skills and Competences: developing abstract reasoning, proof making, and the capacity of finding strategies to solve new problems.
O2 - Skills and Competences: developing abstract reasoning, proof making, and the capacity of finding strategies to solve new problems.
Contents
From perspective to projective geometry.
Projective plane and projective space.
Desargues theorem and Pappus theorem.
Projectivities.
Projective plane and projective space.
Desargues theorem and Pappus theorem.
Projectivities.
Teaching Methods
Problem-solving sessions, where students are invited to work on their own or in small groups, with some moments of exposition or discussion involving the whole class.
The evaluation may be either continuous, done through between two and six partial tests and quizzes, done preferably during the classes, weighting 100% of the classification, the number of which is to be defined by the professor who is responsible for the course unit in each academic year, or by a final exam. Students who achieve a grade of 18 or above may have to do an extra oral exam. For these students the final grade is the maximum between 17 and the simple average of the previous grade and the oral exam.
Formative evaluation is done in or by tasks to be done outside class, to improve the learning process; the elements of formative evaluation will have no weight on the final mark.
The evaluation may be either continuous, done through between two and six partial tests and quizzes, done preferably during the classes, weighting 100% of the classification, the number of which is to be defined by the professor who is responsible for the course unit in each academic year, or by a final exam. Students who achieve a grade of 18 or above may have to do an extra oral exam. For these students the final grade is the maximum between 17 and the simple average of the previous grade and the oral exam.
Formative evaluation is done in or by tasks to be done outside class, to improve the learning process; the elements of formative evaluation will have no weight on the final mark.
Certificações
