PREPARATORY COURSE ON MATHEMATICS

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

Basic mathematics at lower secondary school level

ARITHMETIC

- Properties and operations on numbers (natural, integer, rational, real);
- Absolute value;
- Powers and roots.

FUNCTIONS

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

ALGEBRA

- 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.


TRIGONOMETRY

- Graphs and properties of the sine, cosine and tangent functions;
- Trigonometric equations and inequalities.

Exercises in class will be provided. There will be no final test at the end of the course.

- Frontal lessons;
- Classroom exercises;

Italian

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.

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