## 21001998 - FUNDAMENTALS OF MATHEMATICS 2

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.

Canali

teacher profile | teaching materials

Programme

- 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

Core Documentation

ANY TEXT AT THE LEVEL OF THE SECOND AND THIRD SEMESTER OF A THREE-SEMESTER COLLEGE CALCULUS.

Reference Bibliography

more reading suggestions on the course page at www.formulas.it

Type of delivery of the course

Classes and recitations

Attendance

Attendance is compulsory for at least 75% of the hours

Type of evaluation

oral exam, on the course programme

teacher profile | teaching materials

Programme

- 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

Core Documentation

ANY TEXT AT THE LEVEL OF THE SECOND AND THIRD SEMESTER OF A THREE-SEMESTER COLLEGE CALCULUS.

Reference Bibliography

more reading suggestions on the course page at www.formulas.it

Type of delivery of the course

Taught class and exercises

Attendance

Attendance is mandatory (at least 75% of the total amount)

Type of evaluation

In case of COVID-19 emergency persist, all the decided provisions will be transpose. In particular, the following methods will be considered: oral test.