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B1868 - FONDAMENTI DI MATEMATICA, PROBABILITA' E STATISTICA (8 CFU)

Academic Year 2026/2027

                
                        Docente:
                        Pierluigi Contucci
                    
                        Credits:
                        8
                    
                        SSD:
                        MATH-04/A
                    
                        Language:
                        Italian
                    
                        Moduli:
                        
                            Pierluigi Contucci
                            (Modulo 1)
                        
                            Giacomo De Palma
                            (Modulo 2)
                        
                        Teaching Mode:
                        
                                    In-person learning (entirely or partially) (Modulo 1); 
                                
                                    In-person learning (entirely or partially) (Modulo 2)
                                
                            Campus:
                            Bologna
                        
                            Corso:
                            First cycle degree programme (L) in
                            Biological Sciences (cod. 6605)

                                        Course Timetable
                                    
from Sep 23, 2026 to Jan 08, 2027

Learning outcomes

At the end of the course, the student has a basic knowledge of mathematics providing the solution of classical and modern problems in the biological sciences. He knows the basics notions of mathematical analysis, algebra, probability and statistics.

Course contents

Numbers and their properties. Elementary functions.
Differential calculus: limits, derivatives, extrema of a function, convexity, and qualitative analysis of functions.
Integral calculus: definitions and properties of the integral, integration techniques (integration by parts and substitution), and improper integrals.
Differential equations.
Fundamentals of discrete and continuous probability.
Fundamentals of descriptive statistics, confidence intervals, and statistical hypothesis testing.

Readings/Bibliography

Notes on Virtuale.

Teaching methods

Frontal Lectures: Mathematical concepts are introduced through examples inspired by real-world natural phenomena. Some lectures are supported by computer-based demonstrations and visualizations.

Weekly exercise sessions complement the lectures and reinforce students' understanding of the material.

Assessment methods

Assessment consists of a written examination including both problem-solving exercises and theoretical questions.

Students with Specific Learning Disorders (SLD) or temporary or permanent disabilities are encouraged to contact the University's dedicated support office in advance: https://site.unibo.it/studenti-con-disabilita-e-dsa/it . The office will propose any appropriate accommodations for eligible students. Such accommodations must be submitted to the instructor for approval at least 15 days before the examination. The instructor will evaluate their suitability in light of the learning objectives of the course.

With regard to assessment, the use of artificial intelligence (AI) tools is strictly prohibited. Any use of AI during the examination constitutes a violation of academic integrity.

Teaching tools

Course notes and computer-based applets will be made available through the Virtuale learning platform.

Office hours

See the website of Pierluigi Contucci

See the website of Giacomo De Palma