Biology

ALBERTO FACHECHI
EMANUELE CAGLIOTI

The course concerns the application of mathematical methods from calculus, statistics and
probability to the resolution of problems that arise in the field of natural sciences, with
particular reference to biological sciences. The main objective of the course is to provide the
student with fundamental knowledge of linear algebra, differential and integral calculus,
discrete and continuous probability, which will later be applied in the analysis of empirical
data in biology, particularly in the field of genetics, evolution and ecology.
The course includes lectures and classroom exercises, useful for verifying knowledge for the
purposes of the students personal preparation.
Specific objectives
A) Knowledge and understanding
Knowledge and understanding of the fundamental concepts of linear algebra (vectors, linear
systems).
Knowledge and understanding of the concept of limit and the foundations of differential and
integral calculus.
Knowledge and understanding of the foundations of probability and some descriptive
statistics tools.
B) Ability to apply knowledge and understanding
Ability to properly use the specific terminology of mathematics and statistics.
Ability to translate a concrete problem, for example related to biological sciences, into a
corresponding mathematical problem, through appropriate approximation, abstraction and
modeling procedures.
Ability to use deductive reasoning in abstract contexts.
Ability to recognize the mathematical tools used in other courses (Physics, Chemistry,
Genetics, Ecology) and to use them with mastery and confidence.
Ability to identify the most convenient procedures for solving mathematical problems.

C) Autonomy of judgment
Ability to judge the rigorousness of the formulation and proof of a mathematical statement.
Ability to ask questions aimed at developing and deepening the knowledge acquired.
Ability to independently evaluate the validity of a quantitative model for the description of a
given phenomenon of the natural and biological sciences.
D) Communication skills
Ability to communicate what has been learned in the drafting of written exam essays and in
the presentation during the oral exam.
Ability to articulate a speech in a logically structured way, clearly distinguishing between
hypotheses, deductive procedure and conclusions.
E) Learning ability
Learn specific terminology.
Connect the knowledge acquired in a logical way.
Identify the most relevant themes of the subjects covered.