Linear algebra and analytic geometry. Analysis of functions of a single variable. Basic notions of analysis of functions of two variables. The Golden Mean in mathematics and architecture.
M. Bertsch - Istituzioni di Matematica – Ed. Boringhieri.
M. Bramanti, C.D. Pagani, S. Salsa – Matematica. Calcolo Infinitesimale e Algebra lineare-Ed. Zanichelli.
P. Marcellini, C. Sbordone – Calcolo – Ed. Liguori.
P. Marcellini, C. Sbordone – Esercitazioni di Matematica–Ed. Liguori.
Luca Chiantini, Algebra lineare e geometria analitica, con esercizi commentati e risolti, CEA (1998).
Boris Demidovic, Esercizi e problemi di analisi matematica, Editori riuniti (2010).
Andrea Ratto e Antonio Cazzani, Matematica per le scuole di architettura, Liguori (2010).
Learning Objectives - Last names A-G
Give to the architecture student those mathematical scientific as well as technical methods and abilities necessary to his professional activity.
Learning Objectives - Last names H-Z
We provide notions of linear algebra, geometry and mathematica analysis that are necessary for the training of future architects. We emphasize geometrical intuition and visualization of important concepts.
Prerequisites - Last names A-G
Knowledge of the main topics of mathematics studied before being enrolled in the University.
Prerequisites - Last names H-Z
Basic mathematical concepts that are taught in secondary school. All students must pass a preliminary evaluation test.
Teaching Methods - Last names A-G
Lectures and practical classes for the applications.
Teaching Methods - Last names H-Z
Theory classes and exercise sessions. We will be using the Edmodo online learning Platform.
Further information - Last names H-Z
Use of the WolframAlpha computational search engine to solve exercises and visualize concepts.
Type of Assessment - Last names A-G
Written test and oral discussion.
Type of Assessment - Last names H-Z
Exercises on the Edmodo platform. A written exam followed by an oral exam. The written exam can be waived by passing two tests.
Course program - Last names H-Z
Linear algebra: vectors, matrices, linear systems, eigenvectors and eigenvalues. Analytic geometry of 2-dimensional and 3-dimensional space: lines, planes and conic sections. Analysis of functions of a single variable: domain, limits, continuity, derivatives, local and global extrema, convexity, graphs, definite and indefinite integrals and their applications. Analysis of functions of two variables: partial derivatives, local extrema and double integrals. The Golden Mean in mathematics and architecture; Penrose tiles.