Learning outcomes of the course unit
Provide some essential mathematical tools
Preliminary course on very elementary mathematical tools: elementary algebra; sine, cosine; lines in the coordinate plane; rational powers.
Course contents summary
Arithmetics and algebra: mappings between sets, real numbers and inequalities, first- and second-order equations and inequalities, linear systems, systems of equations or inequalities.
Geometry and trigonometry: coordinates, angles, distance, lines and circles, elements of trigonometry, simple trigonometric equations and inequalities.
Real functions of one real variable: limits and qualitative properties, polynomials and rational functions, powers, exponentials and logarithms with their properties.
Derivatives, integrals, differential equations: basic concepts and some applications.
E. Acerbi, G. Buttazzo, Matematica preuniversitaria di base, Pitagora 2003
E. Acerbi, G. Buttazzo, Analisi matematica ABC vol.1, Pitagora 2003
Oral lesson with exercises.
Written exam; only those students who passed a test on preliminary matter are allowed to take the final exam.