| FUNDAMENTALS OF MATHEMATICS 2
(objectives)
To Provide the algebraic and analytical tools that enable the treatment of three dimensional space, and beyond. In particular, to introduce differential and integral calculus in several variables, linear algebra and in his relationship with geometrical thinking. From the forms to formulas, and vice versa: introduction to inverse problems and parametrical thinking.
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Code
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21001998 |
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Language
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ITA |
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Type of certificate
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Profit certificate
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Credits
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4
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Scientific Disciplinary Sector Code
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MAT/07
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Contact Hours
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50
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Type of Activity
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Related or supplementary learning activities
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Group: CANALE I
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Teacher
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TEDESCHINI LALLI LAURA
(syllabus)
- COURSE SYLLABUS 2019-20
-MATHEMATICAL MODELS FOR HANDLING 3d GEOMETRICAL SPACE:
-LINEAR ALGEBRA FROM A GEOMETRIC VIEWPOINT, VECTORS,
- PLANES, LINES, SKEW LINES, DISTANCES.
-CONICS , QUADRIC SURFACES: IDENTIFICATION, CLASSIFICATION, CONSTRUCTABILITY
IDENTIFICATION AS RULED, AS DEVELOPPABLE, AS SECTIONS...
-DIFFERENTIAL AND INTEGRAL CALCULUS OF TWO AND THREE VARIABLES.
EXTREMA AND CRITICAL POINTS OF A SURFACE GIVEN BY A FUNCTION, TANGENT PLANE.
- PARAMETRIC CURVES, Frenet–Serret frame of a curve.
- SUPERFACES IN SPACE,PARAMETRIC AND IMPLICIT FORMULATION .
- DOUBLE INTEGRALS, VOLUMES OF REGIONS BOUNDED BY REGULAR SUPERFACES.
-HANDS-ON: CONSTRUCTION OF POLYHEDRA, RULED SURFACES, paper models
(reference books)
ANY TEXT AT THE LEVEL OF THE SECOND AND THIRD SEMESTER OF A THREE-SEMESTER COLLEGE CALCULUS.
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Dates of beginning and end of teaching activities
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From 01/10/2019 to 29/02/2020 |
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Delivery mode
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Traditional
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Attendance
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Mandatory
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Evaluation methods
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Oral exam
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Group: CANALE II
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Teacher
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TASSI CAMILLO
(syllabus)
- COURSE SYLLABUS 2019-20
-MATHEMATICAL MODELS FOR HANDLING 3d GEOMETRICAL SPACE:
-LINEAR ALGEBRA FROM A GEOMETRIC VIEWPOINT, VECTORS,
- PLANES, LINES, SKEW LINES, DISTANCES.
-CONICS , QUADRIC SURFACES: IDENTIFICATION, CLASSIFICATION, CONSTRUCTABILITY
IDENTIFICATION AS RULED, AS DEVELOPPABLE, AS SECTIONS...
-DIFFERENTIAL AND INTEGRAL CALCULUS OF TWO AND THREE VARIABLES.
EXTREMA AND CRITICAL POINTS OF A SURFACE GIVEN BY A FUNCTION, TANGENT PLANE.
- PARAMETRIC CURVES, Frenet–Serret frame of a curve.
- SUPERFACES IN SPACE,PARAMETRIC AND IMPLICIT FORMULATION .
- DOUBLE INTEGRALS, VOLUMES OF REGIONS BOUNDED BY REGULAR SUPERFACES.
-HANDS-ON: CONSTRUCTION OF POLYHEDRA, RULED SURFACES, paper models
(reference books)
QUALUNQUE TESTO DI LIVELLO UNIVERSITARIO di calcolo differenziale in piu' variabili, e trattamento algebrico dello spazio.
ad esempio: Adams, Pagani-Salsa, Marcellini Sbordone, Marsden-Weinstein
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Dates of beginning and end of teaching activities
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From 01/10/2019 to 29/02/2020 |
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Delivery mode
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Traditional
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Attendance
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Mandatory
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Evaluation methods
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Written test
Oral exam
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Università Roma Tre