# Mathematics pre-course

### About the Course

This course presents the basic mathematics topics, which are necessary in order to fruitfully follow the Mathematics and Mathematical Analysis courses which are common to all scientific Bachelor courses (e.g., Mathematics, Physics, Engineering, Biological Sciences, Biotechnologies, …).

First, the basic algebraic operations on polynomials and the first notions of analytic geometry in the
plane are reviewed, including, among other things,
the equations of lines, parabolas, circumferences, ellipses, and hyperbolas.

The
concept
of function in the abstract is then introduced and the fundamental functions that are used in Mathematical Analysis are
presented: in addition to polynomial functions, trigonometric, exponential and
logarithmic functions are defined and illustrated.

Finally, the methodologies that allow solving equations and
inequalities, both single and in systems, involving
all the functions covered in the course are addressed.

Sciences

Training hours28

LevelBeginner

Course ModeSelf Paced

English

Duration3 weeks

TypeOnline

Course StatusSelf Pacement

### Course Agenda

Enrollments Start

Course Opens

Course Closes

### Learning outcomes

The expected learning outcomes are:

- Mastering algebraic manipulations of polynomials.
- Understanding the concept of function; knowing the main examples of functions (polynomials, trigonometric, exponentials and logarithms) and their properties.
- Knowing and being able to represent the main elements of plane geometry: line, parabol, circle, ellipse and hyperbole.
- Solving equations and inequalities involving first and second degree polynomials, trigonometric functions, exponentials and logarithms.

### Background and Requirements

This course
is directed at high school
students who intend to enroll (or have already
enrolled) in a science-based degree program. **No prerequisites** are required to take advantage of the course content.

### Textbooks

*Matematica Zero - Per i precorsi e i test d’ingresso a Ingegneria e Scienze.*F. G. Alessio, C. de Fabritiis, C. Marcelli e P. Montecchiari. Pearson, 2016*Precalculus.*J. Abramson. 12th Media Services, 2016

### Course Format

This course is made by video lessons, where the teachers illustrate the theory, with the aid of many examples and simple exercises. The teachers also provide notes for every lesson (in pdf format) and several exercises, which can be used by the students to assess their level of understanding.### Certificates and Exam rules

Attendance Certificate

A certificate of attendance is issued after passing the final online test (multiple choice, true/false questions).