# Università degli Studi di Napoli "Parthenope"

## Teaching schedule

2018/2019
Belonging course:
Course of Bachelor's Degree Programme on BIOLOGICAL SCIENCE
Disciplinary sector:
NUMERICAL ANALYSIS (MAT/08)
Language:
Italian
Credits:
9
Year of study:
1
Teachers:
Cycle:
First Semester
Hours of front activity:
72

Italian

### Course description

The course provides tools and methodologies in order to understand
simple mathematical models.
Knowledge and understanding: The student must demonstrate
knowledge and understanding of issues related to the aspects of basic
mathematics.
Ability to Apply Knowledge and Understanding: The student must
demonstrate how to use the acquired concepts and the tools necessary
for the processing and interpretation of experimental data.
Judgment autonomy: Students must be able to independently evaluate
situations different from the standard presented by the teacher during
the course and to adopt the best solving methodologies.
Communicative Skills: The student must have the ability to express in a
simple and clear way the topics discussed in the course.
Learning Skills: The student must be able to update continuously through
the consultation of texts and publications (also in English) in order to
acquire the ability to deepen new topics that include mathematical
models

### Prerequisites

Trigonometry, powers, logarithms, geometry, set theory and logic.

### Syllabus

Numbers, sequences and series, Logic, Set theory, combinatorics.
Univariate functions. Continuity: main results. Power and exponential
functions, logarithmic functions, circular functions: sine and cosine,
tangent. Differential calculus. Derivatives. Fermat and Lagrange theorem.
Monotonicity and convexity. Integral calculus. Riemann integral. Linear
algebra: matrices, vectors and linear systems. Probability. Bayes
theorem.
Random variables. Mean and variance for main distributions. Bivariate
statistics. Covariance. Ordinary differential equations

Numbers, sequences and series 6h,
Logic and set theory 2h
Combinatorics. 6h
Univariate functions 12h.
Continuity 4h
Differential calculus and Integral calculus 12h.
Linear algebra 6h.
Probability 8h
Statistics 8h.
Ordinary differential equations 8h.

### Teaching Methods

Lectures of the teacher, training sessions with the support of a tutor, training sessions aimed at solving general mathematical problems

### Textbooks

A. GALLETTI, “Lezioni di matematica e statistica”, II edizione, Edizioni
NANE - Napoli, 2013.

A. GALLETTI, S. CUOMO, “Esercizi di Matematica e
Statistica”, Parte Prima, I edizione, Edizioni
NANE - Napoli, 2013.

A. GALLETTI, S. CUOMO, “Esercizi di Matematica e Statistica” Parte
Seconda, I edizione, Edizioni
NANE - Napoli, 2013

### Learning assessment

written test and oral examination