# Università degli Studi di Napoli "Parthenope"

## Teaching schedule

2019/2020
Partition:
Cognomi M-Z
Teaching:
Belonging course:
Course of Bachelor's Degree Programme on ECONOMICS AND BUSINESS
Disciplinary sector:
MATHEMATICAL METHODS OF ECONOMY, FINANCE AND ACTUARIAL SCIENCES (SECS-S/06)
Credits:
9
Year of study:
1
Teachers:
Dott.ssa DONNINI Chiara
Cycle:
First Semester

Italian

### Course description

Learning objectives: The aim of the course is to provide the basic knowledge of mathematics and the most suitable calculation techniques to address the application of mathematics to economics, finance and statistics.

Knowledge and understanding: The student should be able to demonstrate knowledge of mathematical tools and ability to identify those suitable for modeling and solving economic, financial and statistical issues. Faced with a more complex problem, the student has to be able to analyze and solve every part of it, interpret the obtained results and provide the solution to the original problem.

Applying knowledge and understanding: The student has to be able to choose and apply mathematical tools to economics, finance and statistics. The student has to be solve optimization problems.

Making judgments: The student has to develop a critical ability to formulate a problem in a mathematical approach, apply the tools of the discipline and interpret the mathematical solution in different contexts.

Communication: The student has to be able to answer the oral test questions, showing his ability to express and formalize mathematical concepts. He has to be able to explain the techniques learned to solve the questions of the written exam.

Lifelong learning skills: The student has to develop the ability of mathematical reasoning. He has to be able to use mathematical concepts, procedures and tools to describe, explain and predict economic and financial phenomena.

### Prerequisites

Set theory. Naturals, integers, rational and real numbers. Elements of analytical geometry. Equations and inequalities of the 1st and 2nd grade.

### Syllabus

Functions. Limits, continuity and differentiability. Applications of differential computation. Graph of a function. Functions of multiple variables: derivatives. Linear algebra. Nonlinear equations. Integral calculation: definition of indefinite integral, definite integral, immediate integrals.
Functions. Limits, continuity and differentiability. Applications of differential computation. Graph of a function. Functions of multiple variables: derivatives. Linear algebra. Nonlinear equations. Integral calculation: definition of indefinite integral, definite integral, immediate integrals.

Functions. Limits, continuity and differentiability. Applications of differential computation. Graph of a function. Functions of multiple variables: derivatives. Linear algebra. Nonlinear equations. Integral calculation: definition of indefinite integral, definite integral, immediate integrals.

### Teaching Methods

The course includes frontal lessons, during which the themes of the program are discussed, and exercises in attendance. The student can practice and consolidate his skills in the course section on the E-learning platform at the "Parthenope" University. The course is loaded between the courses of "Economics and Commerce".

### Textbooks

P. DE ANGELIS, Matematica di base, Giappichelli ed. (Seconda edizione): capitoli I – II – III – IV – V (escluso par. 8) – VI – VII – VIII (escluso par. 9) – IX – X – XI – XII – XIII – XV – XVI (pag. 383-386, 403-404 escluso 4.I) – XVII.
Lang S. (2002) Short calculus. Springer-Verlag, New York

### Learning assessment

The assessment is based on written examination and an oral interview. The written test is composed of exercises in order to assess the achievement by the student of the learning objectives. The oral exam focuses on the theoretical topics dealt with during the course and it is designed to evaluate the student's ability to express and formalize mathematical concepts. The vote of the examination is expressed in scale from 0 to 30, and it is results of written and oral examination.