Courses and Pathways in Science
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.