Programme

Vectors, Vector functions of a real variable, Concept of curve; parametrizations, Curvature and torsion, Theory of curves (Frenet and applications), Elementary topology in Euclidean space, Vector functions of a vector variable, Fundamental forms (first and second), Theory of surfaces (Gaussian and mean curvature, shape operators), Description of architectural elements through the theory of curves and surfaces.

Core Documentation

Martin M. M. LIPSCHUTZ, Schaum's Outline of Differential Geometry , McGraw Hill, 1969.

Attendance

Students must attend at the least the 75% of lessons to be admitted to the final exam.

Type of evaluation

During the course, students are required to prepare a final paper, which will be presented and assessed at the end of the academic year. Intermediate submissions are also expected and will be evaluated throughout the year to support the progress of the work.