BASIC MATHEMATICS

The course is mainly aimed at students enrolled with additional educational obligations (OFA). That is, students who have not reached the minimum threshold in the TOLC-I entrance test (https://www.cisiaonline.it/area-tematica-tolc-ingegneria/home-tolc-ingegneria/ ). However, the course is STRONGLY RECOMMENDED for all first year students to review the basic knowledge necessary for the subsequent Calculus course.

The aim of the course is to briefly review the mathematics knowledge useful for facing the teachings of the first year of the degree course and successfully pass the TOLC-I test (see the mathematics sections of the TOLC-I syllabus https: //www.cisiaonline.it/area-tematica-tolc-ingegneria/struttura-della-prova-e-syllabus/).

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 (e.g. see the mathematics sections in the Syllabus TOLC-I https://www.cisiaonline.it/area-tematica-tolc-ingegneria/struttura-della-prova-e - syllabus /).

BASICS

-Properties and operations on numbers (natural, integer, rational, real);
-Absolute value;
-Powers and roots;
-Polynomials: operations and rules
-Factorizations of polynomials


FUNCTIONS

- Cartesian coordinates;
- The concept of function;
-Equations and graphs of lines, parabolas;
- Logarithmic and exponential
- Graphs and properties of elementary functions.
- Translations and reflections

ALGEBRA

- 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.


GEOMETRIA ANALITICA
- Equations of conic sections: circumpherence, ellipse, hyperbola;
- Intersections of lines and conic sections;


TRIGONOMETRY

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

Material provided online through the Moodle platform

At the end of the course and in each exams session there is a final test that allows to fulfill the 'OFA'.

The course is articulated into:
a) classroom lectures;
b) classroom exercises;
c) individual study.
Students are strongly encouraged to actively attend classes, by reading the teaching material before the class and by performing exercises similar to those taken into account in the classroom after the class.
Online lectures are available in moodle.

Italian

The course is coordinated with that of Mathematics in order to optimize the recovery of the basic mathematical skills.

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