00013R - MATHEMATICS FOR ECONOMICS AND BUSINESS

The training course of the discipline is aimed at developing both the inductive capacity and the logical-deductive process of the students. The aim of the course is, in fact, to provide students with some basic tools to be used in dealing with economic-business problems that can be solved through mathematical modeling and to stimulate students to acquire a rigorous and essential language. In particular, we will study the preparatory knowledge for learning professional subjects, such as financial mathematics, statistics and business-economic subjects present in the training courses of the Degree Course. To this end, we will provide the basics of linear algebra, differential and integral calculus and optimization, which constitute an effective tool for the detection, measurement and quantitative analysis of economic and business phenomena. At the end of the course the student will be able to formalize some economic-business problems in mathematical terms, identifying the initial data and the most suitable mathematical tools for an efficient and rigorous solution, as well as providing an economic interpretation of the results obtained . Expected learning outcomes: Knowledge and understanding and ability to apply them: The student will receive the basic tools that will allow him to compare himself with modern formal approaches to economics and business sciences. We will also try to give an idea of the possible applications of the tools introduced, educating the student to a rigorous approach to the analysis of economic and business phenomena. In particular, the student will be able to rigorously analyze a mathematical problem and use the basic concepts in order to draw appropriate conclusions. He will be able to conduct mathematical reasoning through the introduction of rigorous definitions and the demonstration of some particularly significant theorems and to apply the learned knowledge to the formalization of some basic economic and business problems such as, for example, profit maximization and utility. The rigor of the mathematical treatment will allow the student to acquire a mindset that can be useful to him for the other subjects of his university course and, later, more generally, for all the professional themes he will meet. Autonomy of judgment: The teaching of general mathematics will allow the student to acquire the tools to evaluate economic and business phenomena also in terms of quantity, as well as the usual legal and economic aspects studied in other disciplines of the Degree Course in Business Economics. The student will be educated to autonomously elaborate the most appropriate approach to the proposed problems and to judge the formalization proposed by different points of view such as, for example, the power of the mathematical tool. Communication skills: The student must be able to use the technical terms, to be able to express appropriately the formalization of a problem and the results obtained with it. The course will provide the student with the ability to transfer the acquired knowledge and will enable him to possess and know how to use the appropriate tools both to highlight the quantitative aspects of typical business-economic problems, and to solve them after their mathematical formalization. Learning ability: Passing the exam must have enabled the student to acquire skills that can address not only the study of other courses in the mathematical-statistical area, but also the resolution of economic-financial problems concerning business management.