# Università degli Studi di Napoli "Parthenope"  ## Teaching schedule

2016/2017
Teaching:
Belonging course:
Course of Bachelor's Degree Programme on ACCOUNTING AND MANAGEMENT
Location:
Napoli
Disciplinary sector:
MATHEMATICAL METHODS OF ECONOMY, FINANCE AND ACTUARIAL SCIENCES (SECS-S/06)
Credits:
6
Year of study:
1
Teachers:
Cycle:
First Semester
Hours of front activity:
48

### Course description

The aim of the course is to provide students with a base of knowledge of mathematics and a basic training in calculus to prepare the students for further study in mathematics and for gainful employment of mathematics in economic, financial and statistical fields.

### Prerequisites

Basic concepts of set theory. Equation of a straight line. Linear and quadratic equations and inequalities.

### Syllabus

Functions: basic concepts; minimum and maximum, infimum and supremum; monotonic function; graph.
Functions: power and radix; exponential and logarithmic; absolute value; trigonometric and inverse trigonometric functions.
Limits: definition; theorems; continuity; evaluation of limits.
Differentiation: derivative; differentiation rules; higher-order derivatives.
Applications of differentiation: minimum and maximum evaluation; convexity; De L’Hospital rule; sketching graphs of functions.
Non-linear equations: bisection method.
Multivariate functions: basic concepts; partial derivatives; gradient; maximum and minimum of a function of two variables.
Linear algebra: vectors; matrices; matrix operations; determinant; rank; linear dependence; systems of linear equations; Gauss elimination method.
Integration: indefinite and definite integral; techniques of integration.

### Textbooks

De Angelis P.L. (2015) Matematica di base. Giappichelli Editore, Torino
Lang S. (2002) Short calculus. Springer-Verlag, New York