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B026296 - MATHEMATICAL ANALYSIS AND GEOMETRY
Main information
Teaching Language
Course Content
Suggested readings
Learning Objectives
Prerequisites
Teaching Methods
Type of Assessment
Course program
Academic Year 2023-24
Course year
First year - Annualità singola
Belonging Department
Architecture (DIDA)
Course Type
Single education field course
Scientific Area
MAT/03 - GEOMETRY
Credits
12
Teaching Hours
96
Teaching Term
18/09/2023 ⇒ 07/06/2024
Attendance required
No
Type of Evaluation
Final Grade
Course Content
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Course program
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Lectureship
- Last names A-G BIANCHI LEONARDO
- Last names A-G GIANNELLI EUGENIO
- Last names H-Z VERDI LUISELLA
Teaching Language - Last names E-M
Italian
Course Content - Last names E-M
Linear algebra and analytic geometry. Analysis of functions of a single variable. Basic notions of analysis of functions of two variables.
Suggested readings - Last names E-M (Search our library's catalogue)
Complementary textbooks.
G. Anichini, G. Conti e R. Paoletti "Geometria analitica e algebra lineare" Ed. Pearson
G. Anichini e G. Conti "Analisi Matematica I" Ed. Pearson
G. Anichini e G. Conti "Analisi Matematica II" Ed. Pearson
A. Nannicini e L. Verdi Note ed esercizi svolti di geometria analitica Ed. MasterBooks
G. Anichini, G. Conti e R. Paoletti "Geometria analitica e algebra lineare" Ed. Pearson
G. Anichini e G. Conti "Analisi Matematica I" Ed. Pearson
G. Anichini e G. Conti "Analisi Matematica II" Ed. Pearson
A. Nannicini e L. Verdi Note ed esercizi svolti di geometria analitica Ed. MasterBooks
Learning Objectives - Last names E-M
We provide the notions of linear algebra, geometry and mathematical analysis that are necessary for the training of future architects. We emphasize geometrical intuition and visualization of important concepts.
Prerequisites - Last names E-M
Basic mathematical concepts that are taught in secondary school. Some students must pass a preliminary evaluation test.
Teaching Methods - Last names E-M
Classes covering theory and exercises.
Type of Assessment - Last names E-M
A written exam followed by an oral exam. The written exam will evaluate the ability to solve exercises. The oral exam will evaluate the comprehension of the subject matter, independence in mathematical reasoning, and the acquisition of technical language.
Course program - Last names E-M
Linear algebra: vectors, matrices, linear systems, eigenvectors and eigenvalues, diagonalization. Analytic geometry of 2-dimensional and 3-dimensional space: lines, planes, basic facts on conics and quadrics. Analysis of functions of a single variable: domain, limits, continuity, derivatives, local and global extrema, convexity, graphs, indefinite and definite integrals. Analysis of functions of two variables: partial derivatives, critical points and double integrals.