BASIC MATHEMATICS

Academic year
2021/2022 Syllabus of previous years
Official course title
MATEMATICA DI BASE
Course code
CT0436 (AF:354866 AR:185476)
Modality
On campus classes
ECTS credits
0
Degree level
Bachelor's Degree Programme
Educational sector code
MAT/02
Period
1st Semester
Course year
1
Where
VENEZIA
Moodle
Go to Moodle page
The course is strongly recommended to students who have mandatory additional credits (OFA), i.e. students who didn't pass the admission test TOLC-I (https://www.cisiaonline.it/area-tematica-tolc-ingegneria/home-tolc-ingegneria/ ). The course is open and suggested to all students of the first year to review basic mathematics concepts before starting the course of Calculus 1.

The purpose of the course is to review basic math skills addressed during the secondary schools, in order to complete successfully activities of the first year and to pass the test TOLC-I (as a reference, see the math sections in the TOLC-I Syllabus https://www.cisiaonline.it/en/area-tematica-tolc-ingegneria/struttura-della-prova-e-syllabus/ ).

Representative excercises, took also from past tests, will be analyzed and solved.
Knowledge and understanding
- Properties of numbers (natural, integer, rational, real) and of operations;
- Principles for solving polynomial, exponential, logarithmic, trigonometric, irrational equations and inequalities;
- Properties of elementary functions.

Applying knowledge
- Handling of expressions with power elevation, exponential, logarithm, trigonometric functions;
- Solving polynomial, exponential, logarithmic, trigonometric, irrational equations and inequalities equations and inequalities;
- Plotting graph of elementary functions.

Evaluation ability
- Self evaluation of own preparation through tests.
Basic math skills addressed at the secondary school (e.g. see math sections in the Syllabus TOLC-I https://www.cisiaonline.it/en/area-tematica-tolc-ingegneria/struttura-della-prova-e-syllabus/ ).
ALGEBRA

-Properties and operations with numbers (natural, integer, rational, real);
-Absolute value;
-Power of a number, root;
-Logarithm and exponential;
-Linear and second order equations and inequalities;
-Equations and inequalities with ratio and powers;
-Equations and inequalities with exponential and logarithm.

FUNCTIONS

-Cartesian coordinate system ;
-Definition of function;
-Linear and second grade functions
-Elementary functions (power law, logarithm, exponential, etc.).

TRIGONOMETRY

-Properties and graph of sine, cosine and tangent functions.
Course material provided through the moodle platform:
This course doesn't have final exam. Students with OFA must repeat the test TOLC-I.
Front and online lectures;
- Exercise sessions (online and in class);
- Exercise sessions using smartphone applications allowing student-teacher interactions;
- Self-evaluation tests in moodle online learning platform.
Italian
written
Definitive programme.
Last update of the programme: 21/07/2021