Cursos / 1º Ciclo / Faculty of Architecture and Arts :: Architecture ( Integrated Master)

MATEMÁTICA - 2020/2021

1º curricular year
Semestralidade: 1st semester
ECTS: 4

Teachers

Leading Teacher: Mestre Carlos Garcia
Assistant Professor: Arqtª Cristina Pereira

Class type and School hours

Teórico-prática : 4 Horas

Teaching Language

Portuguese

Main Aims/Objectives

This curricular unit aims to contribute to the basic training of the student, as a future architect, so that he can interpret the mathematical formulation of the various areas in which he has to intervene, as well as using mathematics as an aid to architectural design, allowing him to increase their critical capacity and obtain bases that will be useful, both from the point of view of the tool to be used, and of structuring material in the development of reasoning.

Specific Aims/Objectives

It is intended to contribute to the student´s ability to interpret the architectural object and to understand modern and contemporary architecture, helping him to think, communicate, reflect with logic, manage knowledge and emotions and develop critical skills.

Skills to be acquired

Obtain and deepen knowledge, by learning the minimum concepts necessary to understand structures and graphic elements, proportions, spatial design and interpretation, developing bases for architectural design.

Teaching Procedures

This curricular unit has a weekly schooling of four hours, with two hours of formal theoretical exposition, and the other two dedicated to solving exercises and carrying out practical work, which will be integrated in the continuous assessment, in case it is not possible to carry out two tests. face-to-face writings.

Programme

Mathematics as an act of thinking and rationalization of thought, and the importance of time.
Mathematics and the education of taste.

THEORY OF PROPORTION:
- Theory of proportion in architecture.
- Elementary properties of the proportion.
- Commensurable proportions, rational or static.
- Immeasurable, irrational or dynamic proportions.
- The gold number: the divine proportion.
- Measures and proportion.
- The Le Corbusier Modulor.

The use of field theory and the morphology of architecture.
Statistical study of urban variables.
Use of mathematics throughout history to support architectural development.

LINEAR ALGEBRA AND ANALYTIC GEOMETRY:
- concepts and generalities.
- Matrices, matrix algebra.
- Exploration of the matrix structure, matrix analysis, creation of information models and their use in research models.
- Matrix operations.
- Calculation of determinants.
- Resolution of systems through various methods.

Evaluation Type

Students perform evolutionary work on the material taught in class. Continuous assessment includes attendance to classes, the performance of students in carrying out the proposed exercises, all complemented with two written tests, of theoretical / practical nature, in case the classes can already be carried out in person, or, otherwise, by delivery and evaluation of a work developed during the semester.

Teaching Resources

The theoretical introduction of the material is carried out with the visualization of elements that are available to students on the moodle platform. After the theoretical introduction, exercises related to the subject follow, with the statements of these same exercises also available to students on the moodle platform.

Sustainability Objectives

Keywords

Think;
Logic;
Matrix;
Proportion.

Main Bibliography

Complementary Bibliography