### Teachings

Select Academic Year:     2017/2018 2018/2019 2019/2020 2020/2021 2021/2022 2022/2023
Professor
SIMONE SBARAGLIA (Tit.)
Period
First Semester
Teaching style
Blend/modalità mista, Convenzionale
Lingua Insegnamento

Informazioni aggiuntive

Course Curriculum CFU Length(h)
[11/75]  BUSINESS AND ECONOMICS [75/15 - Ord. 2017]  AMMINISTRAZIONE E CONTROLLO 12 72
[11/75]  BUSINESS AND ECONOMICS [75/35 - Ord. 2017]  MARKETING E ORGANIZZAZIONE 12 72
[11/75]  BUSINESS AND ECONOMICS [75/66 - Ord. 2017]  INTERNAZIONALE UNICA-BIELEFELD 12 72
[11/75]  BUSINESS AND ECONOMICS [75/67 - Ord. 2017]  INTERNAZIONALE UNICA-PRAGA 12 72

### Objectives

The course is meant to provide students of economics with a set of mathematical techniques that are commonly used to handle numerous problems in finance and economics. At the end of the course the student is expected to be able to solve standard problems in calculus and linear algebra. Many examples will be presented to expose the student to the possible applications of the theory.  In particular, the tranfer of knowledge pertains: - the analysis of mathematical elementary models - the capacity of calculation and function sketching - the capacity to study linear models - the analysis of multi-variable phenomenons The course has a high operative connotation and the student will learn to apply the acquired knowledge to solve real-world problems drawn from economics and finance. The student acquires independent and autonomous thinking and judging capabilities and the ability to choose the most appropriate model. Furthermore, in terms of communication abilities, the student will learn a new language and to espress the problems he encounters in economics and finance in terms of this new language, in order to precisely describe and solve the problem.

### Prerequisites

Basic Algebra. Arithmetic operations, fractions, factorization. Factoring a quadratic form. Factoring formulas. First and second degree equalities and inequalities. Rational equalities and inequalities. Systems of equalities and inequalities. Absolute value. Exponential and logarithmic functions and their properties.

### Contents

Mathematical logic, set theory, numbers, functions and graphs exponential and logarithmic functions. Topological proprties of the real numbers, real functions and operations, inverse functions. Limits, continuity, asymptotes. Properties of continuous functions, discontinuities. Derivatives, fundamental properties of differentiable functions. Sketching the graph of a real function. Vectors and matrices. Linear systems, Rouché-Capelli Theorem and Cramer. Functions of several variables, limits and continuity. Optimization constrained and unconstrained. Applications.

### Teaching Methods

Classroom lectures and exercises. Matherial and exercises available online. Lectures can be integrated with audio and video material and streaming.

### Verification of learning

The achievement of the objectives set will be evaluated through an elaborate where the student will be offered multiple-choice questions, exercises and theoretical questions on the whole program.
In light of the descriptors listed in the training objectives, it will consider:
1) the ability to use these concepts for solving practical problems;
2) the ability to identify the correct solution strategies and to interpret the results obtained;
3) the clarity and the correct use of mathematical symbols;
4) the ability to make correct reasoning of an interdisciplinary nature;
5) knowledge of the theoretical content.
The evaluation will be of thirty. To pass the exam even with the minimum grade, 18, the student must demonstrate knowledge of the subjects in their essential elements (ability to solve simple optimization problems and mastered just enough language).
To obtain an average ranking (24_26) students must demonstrate, as well as a good knowledge of the topics, also a good capacity for analysis and synthesis
A high rating (27-30) will be awarded to students who also demonstrate a good independent judgment, know argue statements and choices, and stating the arguments in a clear and consequential using appropriate terminology.
In view of the Covid situation it is possible that some tests will be given in the form of online tests through elearning platforms or microsoft teams or eliminated altogether.

### Texts

Simon-Blume, Mathematics for Economists, W.W. Norton Ed. Additional material provided in class.