Mathematics Ii
A.Y. 2025/2026
Learning objectives
The course is designed to rigorously introduce the basic language of Mathematical Analysis in order to provide the necessary tools to tackle and solve both theoretical and applied problems, which are essential for successfully attending a university undergraduate program in a scientific area.
Expected learning outcomes
At the end of the course, the student must demonstrate a sufficient understanding of basic mathematical analysis, from the behavior of elementary functions to the qualitative study of general functions of a single variable. Additionally, students are expected to deepen their knowledge of results concerning continuity, differential and integral calculus for functions of a real variable. One of the main skills to be assessed is the ability to apply theoretical results to solve problems and exercises related to the specific topics of the course.
Lesson period: Second semester
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course can be attended as a single course.
Course syllabus and organization
Single session
Responsible
Lesson period
Second semester
Course syllabus
The semestral course of Mathematics II rigorously presents some classical topics of Mathematical Analysis which are a necessary prerequisite to any scientific degree. In particular:
-Sequences of real numbers
-Series of real numbers
-Real functions
-Limits and continuity
-Derivatives and differentiability
-Riemann Integral
-Sequences of real numbers
-Series of real numbers
-Real functions
-Limits and continuity
-Derivatives and differentiability
-Riemann Integral
Prerequisites for admission
To have acquired the foundational mathematical skills covered in the course Mathematics 1
Teaching methods
Taught lectures
Homeworks on each topic
Online forum for discussions
Self-assessment online tests
Homeworks on each topic
Online forum for discussions
Self-assessment online tests
Teaching Resources
Reference book:
1) G. Anichini, G. Conti, M. Spadini, Analisi Matematica 1, 3rd Edition, Pearson.
Other useful references:
2) P. Marcellini, C. Sbordone, Elementi di Analisi Matematica 1, Liguori Editore.
3) G. Catino, F. Punzo, Esercizi svolti di Analisi Matematica e Geometria 1 (Additional exercises)
1) G. Anichini, G. Conti, M. Spadini, Analisi Matematica 1, 3rd Edition, Pearson.
Other useful references:
2) P. Marcellini, C. Sbordone, Elementi di Analisi Matematica 1, Liguori Editore.
3) G. Catino, F. Punzo, Esercizi svolti di Analisi Matematica e Geometria 1 (Additional exercises)
Assessment methods and Criteria
Written exam composed by exercises and theoretical questions on the topics developed during the course. The evaluation ranges out of thirty and is aimed at verifying the understanding of the theoretical notions and their application in specific cases of study.
The use of notes, books or calculator is not allowed during the exam.
The duration of the written test is commensurate with the number and structure of the assigned exercises, but in any case will not exceed 3 hours. Results will be communicated on the SIFA through the UNIMIA portal.
The use of notes, books or calculator is not allowed during the exam.
The duration of the written test is commensurate with the number and structure of the assigned exercises, but in any case will not exceed 3 hours. Results will be communicated on the SIFA through the UNIMIA portal.
MAT/03 - GEOMETRY - University credits: 3
MAT/05 - MATHEMATICAL ANALYSIS - University credits: 6
MAT/05 - MATHEMATICAL ANALYSIS - University credits: 6
Practicals: 36 hours
Lessons: 48 hours
Lessons: 48 hours
Professors:
Maggis Marco, Pasquali Fabio
Professor(s)
Reception:
On appointment
Department of Mathematics, office number 1038