ID:
500173
Duration (hours):
84
CFU:
9
SSD:
ANALISI MATEMATICA
Year:
2025
Overview
Date/time interval
Primo Semestre (22/09/2025 - 16/01/2026)
Syllabus
Course Objectives
The principal aim is to lead students to master the basic mathematical tools which are required for a first-level scientific degree. Particular attention will be paid to topics which are relevant in the area of Chemistry.
More precisely, at the end of the course students are expected:
- to be able to manage the main elementary functions,
- to use differential and integral tools in elementary cases,
- to analytically identify elementary geometric objects,
- to recognize and solve simple differential equations,
in standard situations with a wide applicability in scientific contexts.
In addition, a certain awareness of the theoretical framework within which the mathematical instruments are framed is expected.
More precisely, at the end of the course students are expected:
- to be able to manage the main elementary functions,
- to use differential and integral tools in elementary cases,
- to analytically identify elementary geometric objects,
- to recognize and solve simple differential equations,
in standard situations with a wide applicability in scientific contexts.
In addition, a certain awareness of the theoretical framework within which the mathematical instruments are framed is expected.
Course Prerequisites
The prerequisites correspond to the average mathematical preparation provided by the high school. More precisely, the student must be able to:
- use elementary operations on sets (union, intersection, ...),
- use integer and rational numbers (fractions, decimal numbers),
- have basic knowledge of real numbers,
- handle elementary symbolic expressions and simple operations between polynomials,
- solving first and second-degree algebraic equations and inequalities,
- recall simple geometric properties of elementary figures,
- analytically distinguish the elementary geometric entities of the plane (straight lines, circumferences, ...).
A preliminary familiarity with the basic elements of trigonometry may be useful.
- use elementary operations on sets (union, intersection, ...),
- use integer and rational numbers (fractions, decimal numbers),
- have basic knowledge of real numbers,
- handle elementary symbolic expressions and simple operations between polynomials,
- solving first and second-degree algebraic equations and inequalities,
- recall simple geometric properties of elementary figures,
- analytically distinguish the elementary geometric entities of the plane (straight lines, circumferences, ...).
A preliminary familiarity with the basic elements of trigonometry may be useful.
Teaching Methods
Teaching will be mainly carried out through traditional classes. Whenever possible, personal supervised work will be organized within the class to help students with exercises.
A tutoring support will be available to strengthen practice skills.
A tutoring support will be available to strengthen practice skills.
Assessment Methods
The exam consists in a written test and in an oral part. The first one mainly aims to check the level of knowledge of the principal analytical methods dealt with in the course, together with the ability to face a mathematical problem in the field. Exercises from previous written tests will be made available. A threshold mark (16/30) is needed to pass to the oral part. This latter intends to verify the global understanding of the theoretical framework.
Texts
Each of the following books can be used as a reference text:
M. Bramanti, F. Confortola, S. Salsa: "Matematica per le scienze - Con fondamenti di probabilità e statistica", Zanichelli (2024)
C.D. Pagani , S. Salsa: "Matematica", Zanichelli (1997)
M. Bramanti, F. Confortola, S. Salsa: "Matematica per le scienze - Con fondamenti di probabilità e statistica", Zanichelli (2024)
C.D. Pagani , S. Salsa: "Matematica", Zanichelli (1997)
Contents
The preliminary part is devoted to a quick review of some notions usually encountered in the course of upper secondary studies, such as numerical sets, symbolic calculus, algebraic equations and inequalities, the rudiments of analytical geometry in the plane. More space will be reserved to elementary functions, also introducing the essential notions of trigonometry. The basic elements of the following topics are then treated: vector and matrix calculus; linear systems; analytical geometry in space; complex numbers; sequences and numerical series; limits and continuity; differential and integral calculus in a variable; ordinary differential equations. Finally, some basic notions from Linear Algebra will be presented.
The topics and the examples chosen take into account, whenever possible, the issues of the chemical fields in which the mathematical tool enters significantly.
The topics and the examples chosen take into account, whenever possible, the issues of the chemical fields in which the mathematical tool enters significantly.
Course Language
Italian
More information
Course details and materials will be provided through the Kiro page of the course.
Those who can certify (according to the rules of Pavia University) their impossibility to attend the classes of the course can directly contact the teacher to identify the best alternative activities.
Those who can certify (according to the rules of Pavia University) their impossibility to attend the classes of the course can directly contact the teacher to identify the best alternative activities.
Degrees
Degrees
CHEMISTRY
Bachelor’s Degree
3 years
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