Studying at the University of Verona

Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.

This information is intended exclusively for students already enrolled in this course.
If you are a new student interested in enrolling, you can find information about the course of study on the course page:

Laurea in Matematica applicata - Enrollment from 2025/2026

The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.

2° Year  activated in the A.Y. 2016/2017

ModulesCreditsTAFSSD
6
A
MAT/02
One course to be chosen among the following
6
C
SECS-P/01
6
C
FIS/01
6
B
MAT/03
One course to be chosen among the following
6
C
SECS-P/01
6
B
MAT/06

3° Year  activated in the A.Y. 2017/2018

ModulesCreditsTAFSSD
One/two courses to be chosen among the following
6
C
SECS-P/05
Prova finale
6
E
-
activated in the A.Y. 2016/2017
ModulesCreditsTAFSSD
6
A
MAT/02
One course to be chosen among the following
6
C
SECS-P/01
6
C
FIS/01
6
B
MAT/03
One course to be chosen among the following
6
C
SECS-P/01
6
B
MAT/06
activated in the A.Y. 2017/2018
ModulesCreditsTAFSSD
One/two courses to be chosen among the following
6
C
SECS-P/05
Prova finale
6
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°- 3°
Between the years: 1°- 2°- 3°
Other activitites
6
F
-

Legend | Type of training activity (TTA)

TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.




S Placements in companies, public or private institutions and professional associations

Teaching code

4S00256

Credits

6

Language

Italian

Scientific Disciplinary Sector (SSD)

MAT/05 - MATHEMATICAL ANALYSIS

Period

II sem. dal Mar 1, 2017 al Jun 9, 2017.

Learning outcomes

This course is an introduction to the most common mathematical models in biology and biomedicine. At the end of the course the students should be able to:
- understand and critically discuss basic models of biological systems, with particular emphasis to the validity of assumptions and of model parameters;
- model simple phenomena, analyze them (numerically and/or analytically), and understand the effect of parameters;
- compare the predictions given by the models with experimental data;
- communicate results in interdisciplinary teams

Program

Part A - dott. Simone Zuccher

Different mathematical models in biology will be presented. They are divided into discrete and continuous ones each of which can be further divided into scalar or vectorial. Theoretical results will be recalled (not proved because already known from previous courses in Mathematical Analysis and Dynamical Systems) and then applied to the study of the different models.
- The discrete, scalar case. Malthusian growth and quadratic logistic model. Discussion of bifurcation depending on a parameter, p-cycle and its stability, bifurcation diagram, route to chaos.
- The discrete, vectorial case. Two-species discrete models: host-parasite, prey-predator and inter-action between species.
- The continuous scalar case. Growth of bacteria (continuous logistic map), exact solution. Qualitative study of ordinary differential equations.
- The linear planar case. The T-D plane, examples.
- The non-linear continuous planar case. The spread of disease model, the Lotka-Volterra model.

Course notes are available at http://profs.sci.univr.it/~zuccher/teaching/

Part B - dott. Roberto Chignola

- probabilistic models for biomedicine
- the Luria and Delbrück experiment
- growth models for population biology
- allometry and scaling laws
- phenomenological models for tumor growth
- models for cell physiology
- multi-scale models in oncology

Course notes are available at: http://profs.sci.univr.it/~chignola/teaching.html

Examination Methods

Part A: The exams is an oral interview. Students will be asked to discuss the contents presented during the course Part A and to provide the solution in Matlab/Octave to the exercises assigned during the course.

Part B: Oral evaluation. The students will have to prepare and critically discuss a short essay.

Students with disabilities or specific learning disorders (SLD), who intend to request the adaptation of the exam, must follow the instructions given HERE