### Technology

## Subject: REMEDIAL DISCIPLINARY REQUIREMENTS (A.A. 2022/2023)

### degree course in TECHNOLOGIES FOR THE SMART INDUSTRY

Course year | 1 |
---|---|

CFU | 0 |

Teaching units |
Unit Obblighi Formativi Aggiuntivi
To be chosen by the student (training debt)
- TAF: Optional subjects SSD: NN CFU: 0
Luisa MALAGUTI |

Exam type | written |

Evaluation | final judgment |

Teaching language | Italiano |

### Teachers

### Overview

1. SETS LOGIC and NUMBERS Element of intuitive set theory and main operations between sets. Quantifiers. Sets of natural numbers, integers, rational and real numbers and their main properties. Principle of induction.

2. ALGEBRA Polynomials and literal calculus. Roots of a polynomial. Major products. Polynomial division. Algebraic equations and inequalities. Systems of equations and algebraic inequalities.

3. POWER ROOTS and logarithms and their main properties. Simple irrational, exponential and logarithmic equations and inequalities,.

4. FUNCTIONS TRIGONOMETRIC Arches and angles. Sine, cosine and tangent. Inverse trigonometric functions. Basic trigonometric identities. Solving triangles. Trigonometric formulas. Simple trigonometric equations and inequalities.

5. FUNCTIONS AND GRAPHS Function definition. Domain, image, graph of a function. Even and odd functions and inverse functions. Power function (with integer exponents), root; sine, cosine and tangent; exponential and logarithm; absolute value. Simple equations and inequalities containing absolute values

6. ANALYTICAL GEOMETRY FLAT points in the Cartesian plane. Equations of lines, parabolas, circles, ellipses and hyperbolas and their main properties.

### Admission requirements

No one

### Course contents

It does not apply.

### Teaching methods

It does not apply.

### Assessment methods

It does not apply.

### Learning outcomes

It does not apply.

### Readings

Nessuno