MATHEMATICS BASE COURSE

Course objectives

Knowledge and understanding: the students will be able to manage the theoretical frame as well as to perform the calculus on functions, limits and continuity, derivatives, differentiation rules, integrals, Systems of linear equations, eigenvalues, eigenvectors, and on functions of several variables. Applying knowledge and understanding: students will be able to apply the base methods that are used in the analysis of economic, business, and financial models. Making judgement: students will develop the skills to determine the tools needed for tackling the objectives of the course. Communication skills: students will develop some attitude to mathematical logic, the attitude to express concepts through formal mathematical language, and the skill to prove a result through a rigorous proof. Learning skills: students will be able to continue in their path of studies basing on the acquired knowledge. Skills on calculus: limit and derivatives, graphical representation of functions, techniques of integration, solution of systems of linear equations. Functions of several variables. The topics allow the student to learn the base methods that are used in the analysis of economic, business, and financial models.

Channel 1
ANTONIO LUCIANO MARTIRE Lecturers' profile

Program - Frequency - Exams

Course program
INTRODUCTION: Review of sets of numbers; review of set theory; review of logical calculus. LINEAR ALGEBRA: vectors and matrices, operations with vectors and matrices; linear dependence and independence between vectors and the rank of a set of vectors; determinant of a square matrix, characteristic or rank of a matrix; systems of linear equations; Rouché-Capelli Theorem and Cramer's Theorem; solution of linear numeric and parametric systems. REAL FUNCTIONS OF A SINGLE REAL VARIABLE: elementary functions and composite functions (excluding circular functions); domain, intersection with the axes, and sign; limits, asymptotes, continuity, infinitesimals and infinities; differentiability, maxima and minima, inflection points; Rolle, Cauchy, and Lagrange theorems; differential; Taylor polynomial. REAL FUNCTIONS OF TWO REAL VARIABLES: Calculating first- and second-order partial derivatives. INTEGRALS: Antiderivative of a function; indefinite integrals, immediate integrals, integration methods; definite integrals; integral function; Integral mean value theorem and Torricelli-Barrow theorem.
Prerequisites
Knowledge of basic high school mathematics topics is required. Specifically, the ability to calculate first- and second-degree equations and inequalities, rational, irrational, and transcendental, as well as knowledge of basic analytical geometry (lines, parabolas, and circles) is required.
Books
Cesarone F., Corradini M., Lampariello L. Matematica generale Giappichelli 2024 Notes taken in class.
Frequency
Attendance, although not mandatory, is strongly recommended.
Lesson mode
Traditional teaching
  • Lesson code1013719
  • Academic year2025/2026
  • CourseManagement and corporate law
  • CurriculumSingle curriculum
  • Year1st year
  • Semester1st semester
  • SSDSECS-S/06
  • CFU9