# PREPARATORY COURSE ON MATHEMATICS

2021/2022
Official course title
PRECORSO-MATEMATICA GENERALE
Course code
CT0110 (AF:355382 AR:189769)
Modality
On campus classes
ECTS credits
0
Degree level
Bachelor's Degree Programme
Educational sector code
MAT/05
Period
1st Semester
Course year
1
Moodle
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The course is aimed at students who want to review the basic knowledge of mathematics before starting the courses of the curricula of Chemistry and Sustainable Technologies, of Sciences and Technologies for Cultural Heritage and of Physical Engineering. In particular, the course is aimed at students enrolled with additional educational obligations (OFA).

The aim of the course is to briefly review the mathematics knowledge relating to the first three years of the upper secondary school curricula, in order to provide secondary elements useful for addressing the teachings of the first year of the degree course.

Representative exercises will be analyzed and solved, also taken from past editions of the TOLC-I test.
Knowledge:
- Properties of numbers (natural, integer, rational, real) and of the main operations;
- Principles for solving polynomial, fractional, exponential, logarithmic, trigonometric, irrational equations and inequalities;
- Properties of elementary functions;

Skills:
- Simplification of expressions with powers, exponentials, logarithms, trigonometric functions;
- Solving polynomial, fractional, exponential, logarithmic, trigonometric, irrational equations and inequalities;
- Graph elementary functions;
- Interpret and solve problems of logic and verbal understanding

Judgment skills:
- Evaluate your own preparation through self-assessment tests.
Basic mathematics at lower secondary school level
ALGEBRA

-Properties and operations on numbers (natural, integer, rational, real);
-Absolute value;
- Powers and roots;
-Logarithms and exponentials;
-Division and factorization of polynomials;
- First and second degree algebraic equations and inequalities;
- Fractured and radical equations and rational inequalities;
-Systems of equations and inequalities.
- Logarithmic and exponential equations and inequalities.

FUNCTIONS

- Cartesian coordinates;
- The concept of function;
-Equations of lines, parables;
- Graphs and properties of elementary functions (powers, logarithms, exponentials, etc.).

TRIGONOMETRY

- Graphs and properties of the sine, cosine and tangent functions;
- Fundamental trigonometric relationships (sum, duplication, etc.);
-Trigonometric equations and inequalities.
Course material provided through the moodle platform.
Final self-evaluation test.
- Frontal lessons;
- Classroom exercises;
Italian
At the end of [CT0110] PRECOURSE-GENERAL MATHEMATICS there will be an optional self-assessment test. Passing this test may give the right to bonus points for the courses [CT0560] MATHEMATICAL ANALYSIS I of the degree course [CT8] PHYSICAL ENGINEERING and [CT0522] INSTITUTIONS OF MATHEMATICS WITH EXERCISES - 1 of the degree courses [CT7] CHEMISTRY AND TECHNOLOGIES SUSTAINABLE (L) and [CT60] SCIENCES AND TECHNOLOGIES FOR CULTURAL HERITAGE, according to the methods described in the syllabi of these teachings.

Accommodation and Support Services for students with disabilities or with specific learning disabilities: Ca 'Foscari applies the Italian Law (Law 17/1999; Law 170/2010) for the support and accommodation services available to students with disabilities or with specific learning disabilities. In case of motor, visual, hearing or other disabilities (Law 17/1999) or a specific learning disorder (Law 170/2010) and you need support (classroom assistance, technological aids for carrying out exams or individualized exams, material in accessible format, recovery of notes, specialized tutoring to support the study, interpreters or other), please contact the Disability and SLD office. Disability@unive.it.
written
Definitive programme.
Last update of the programme: 08/09/2021