# Università degli Studi di Napoli "Parthenope"

## Teaching schedule

2017/2018
Belonging course:
Course of Master's Degree Programme on QUANTITATIVE METHODS FOR ECONOMIC AND FINANCIAL EVALUATIONS
Disciplinary sector:
MATHEMATICAL ANALYSIS (MAT/05)
Language:
Italian
Credits:
6
Year of study:
2
Teachers:
Dott.ssa GIOVA Raffaella
Cycle:
First Semester
Hours of front activity:
48

Italian

### Course description

The aim of the course is to provide the main mathematical methods
• for studying of optimization problems,
• for modeling and solving economic, financial and corporate problems.

Expected learning outcomes
Knowledge and understanding: The student should be able to prove knowledge of mathematical tools and ability to identify those suitable for modeling and solving economic, financial and corporate issues.

Applying knowledge and understanding: the student should be able to apply the acquired knowledge in order to resolve the assigned problems.

Making judgements: the student should be able to use the acquired knowledge also in an autonomous way, by also applying them to specific issues related to optimization problems.

Communication: the student should be able to answer in a clear and thorough way to the questions of the written examination and to those of the oral examination.

Lifelong learning skills: the student should be able to show a good learning ability, by widening, for example, his/her knowledge with use of relevant bibliographic references.

### Prerequisites

Contents of the course of Calculus I

### Syllabus

Functions of several variables: Limits and Continuity. Partial Derivatives. Higher Order Derivatives: Schwarz Theorem. Gradient vector and Differentiability. Directional Derivatives. Quadratic Forms. Convex Functions. Local and Global Maxima and Minima. Constrained Maximization Problems. (28 ore)

Curves: introduction. Tangent vector to a Curve. Orientation of a curve. Rectifiable curve: length of a curve (4 ore)

Ordinary Differential Equations: Existence and Uniqueness: the Cauchy problem, Linear First Order Equations, Linear Second Order Equations, Separable Equations, Bernoulli Equations. Systems of Differential Equations. (16 ore)

### Teaching Methods

The course includes frontal lessons, during which the themes of the
program are discussed, and exercises in attendance.

### Textbooks

P.Marcellini, C.Sbordone: Esercitazioni di Matematica Due, prima parte e seconda parte, Zanichelli Editore, 2017.

C.P. Simon - L.E. Blume, Matematica 2 per l’Economia e le scienze sociali, Università Bocconi editore.

### Learning assessment

The assessment is based on written examination and an oral interview. The vote of the examination is expressed in scale from 0 to 30, and it is results of written and oral examination. The laude can be assigned if the student shows, in his/her answers, a particular ability to deepen the topics mentioned in the examination’s questions.