Learning objectives
Formative purposes:
Knowledge and understanding:
At the end of the course the student will have consolidated some knowledge of Mathematical Analysis, of Geometry and Drawing he had acquired during the first year of his degree course. In addition he will have acquired the basic notions of curves, curvature and differential calculus for functions of two variables. Besides, the student will have investigated the study of surfaces, learning to recognise them mathematically and also within roof coverings and to draw them.
Applying knowledge:
At the end of the course the student should be able to apply his knowledge to draw and study curves in plane, to calculate curvature, to draw curves in space, to represent a functions of two real variables as a surface in space, to calculate the tangent plane. Besides the student will be able to recognise some surfaces used as roof coverings, to reconstruct the relative equations and to use them to data extrapolation and to analyse curvature.
The student will be in a position to apply such knowledge to technical or architectural planning branches.
He will have also improved his skill in hand geometric drawing and developed his space vision.
Making judgments:
On getting through the exam the student should have increased the ability to reckon critically which surface has been used in the covering of an already existing building or in the realization of a design object he wants to examine. He should be able to invent solutions, adapting geometries learnt during the course to projects he is attending to. At the same time he should have developed the precision in organizing his work and the ability to check the credibility of the results.
Communication skills:
On getting through the exam the student should have improved the ability to show clearly analysis and concepts.
Learning skills:
On getting through the exam the student should be able to use autonomously the geometric forms applicable to design and architectural planning, to face, in the future, an autonomous analysis of possible applications in a study or in a project.