Mathematics (Classe L-35)-Enrolled from 2018/2019 A.y.

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Bachelor
A.Y. 2019/2020
L-35 - Scienze matematiche (EN)
Bachelor
180
ECTS
Access
Open with admission self-assessment test
3
Years
Milano
Italian
The main objectives of the Degree Program in Mathematics are to furnish a solid foundation in the mathematical sciences, to introduce the modern formulation of the discipline, to encourage an active contact with various aspects of the field (including theoretical rigor and attention to applications), and to provide the preparation necessary to comprehend future developments in the field.
The Degree in Mathematics enables employment in both the public and private sectors for positions which require capacity for abstract reasoning, formulation and/or modelling of concrete problems and their solution though the use of tools coming from the mathematical sciences.
Recipients of the Degree in Mathematics find careers in: banks, insurance companies, polling and survey institutes, consulting and accrediting firms, software development companies, medical, biomedical and pharmacological institutes and companies, in the green economy, and in research and development divisions of large corporations, and specific industries such as transportation, telecommunication, and aerospace.
A significant portion of degree recipients in Mathematics continue their studies by enrolling in a Masters Degree Program.

Employment statistics (Almalaurea)
Il Corso di laurea in Matematica è ad accesso libero con test di verifica delle conoscenze obbligatorio, ma non selettivo, prima dell'immatricolazione.
La verifica viene svolta attraverso il TOLC (Test Online CISIA) che lo studente deve sostenere presso l'Università degli Studi di Milano o una qualsiasi altra Università aderente al CISIA (Consorzio Interuniversitario Sistemi Integrati per l'Accesso). Le iscrizioni al TOLC vanno effettuate sul sito del CISIA (www.cisiaonline.it).
I TOLC validi per l'iscrizione al Corso di laurea in Matematica sono il TOLC-S e il TOLC-I.
Gli studenti potranno immatricolarsi solo dopo avere sostenuto uno dei TOLC indicati, QUALUNQUE SIA L'ESITO:
· TOLC-S, suddiviso in 4 sezioni: Matematica di base (20 quesiti - 50 minuti), Ragionamento e Problemi (10 quesiti - 20 minuti), Comprensione del testo (10 quesiti - 20 minuti), Scienze di base (quesiti di chimica, fisica e geologia; 10 quesiti - 20 minuti)
· TOLC-I, suddiviso in 4 sezioni: Matematica (20 quesiti - 50 minuti), Logica (10 quesiti - 20 minuti), Scienze (10 quesiti - 20 minuti), Comprensione Verbale (10 quesiti - 20 minuti).
Ogni domanda presenta 5 possibili risposte, di cui una sola è corretta.
Punteggio: +1 per ogni risposta esatta, -0,25 per ogni risposta sbagliata, 0 per ogni risposta non data.
Alle matricole che nel modulo di Matematica non avranno raggiunto un punteggio maggiore o uguale a 10, saranno assegnati Obblighi Formativi Aggiuntivi (OFA).
In ogni TOLC è presente una sezione aggiuntiva di Inglese, composta da 30 quesiti da svolgere in 15 minuti, il cui esito non concorre al punteggio del test.

Attività di supporto e prove di recupero.

Gli OFA possono essere recuperati superando, entro il mese di Dicembre 2019, la parte A (Syllabus) dell'esame di Elementi di Matematica di Base. Gli studenti che non recuperano gli OFA con questa modalità non potranno sostenere alcun esame del secondo anno prima di aver superato uno dei seguenti esami: Algebra 1 o Analisi matematica 1 o Geometria 1.

Argomenti della prova, procedure di iscrizione, date, scadenze ed ogni altra informazione utile vengono pubblicate sul sito della Facoltà http://www.scienzemfn.unimi.it, sezione TEST INGRESSO, e nel bando per l'ammissione (http://www.unimi.it/corsi_istituti/corsiConTest.jsp) ed al link http://www.unimi.it/studenti/matricole/118907.htm.
The Bachelor of Science in Mathematics has long been committed to characterize its educational activities in an international framework under the Erasmus program. We activated several agreements with other universities in Europe. In particular, we have exchange agreements within the disciplines of both curricula: with Austria, Britain, Spain, Portugal, France, Germany, Holland, Denmark, Polonia, Slovenia, Sweden, Norway and Finland.

See the website http://users.unimi.it/erasmusmat/ for collected information on locations and how to recognize the activities carried out abroad.

Courses list

First semester
Courses or activities Max ECTS Total hours Language SSD
Compulsory
Algebra 1 9 89 Italian MAT/02
Elements of Basic Mathematics 3 27 Italian MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Geometry 1 6 60 Italian MAT/03
Mathematical Analysis 1 9 89 Italian MAT/05
Second semester
Courses or activities Max ECTS Total hours Language SSD
Compulsory
General Physics 1 9 89 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Geometry 2 9 89 Italian MAT/03
Mathematical Analysis 2 6 60 Italian MAT/05
Programming 1 6 63 Italian INF/01
First semester
Courses or activities Max ECTS Total hours Language SSD
Compulsory
Algebra 2 6 60 Italian MAT/02
Geometry 3 6 58 Italian MAT/03
Mathematical Analysis 3 9 89 Italian MAT/05
Numerical Analysis 1 9 93 Italian MAT/08
Optional
Mathematical Methods and Models for the Applications 6 60 Italian MAT/07
Second semester
Courses or activities Max ECTS Total hours Language SSD
Compulsory
Geometry 4 9 89 Italian MAT/03
Mathematical Analysis 4 6 58 Italian MAT/05
Mathematical Physics 1 6 58 Italian MAT/07
Probability and Mathematical Statistics 1 9 90 Italian MAT/06
Optional
Topics in Scientific Computing 6 60 Italian MAT/08
Optional activities and study plan rules
1 - The student must obtain 9 credits with a course of choice among the following:
Courses or activities Max ECTS Total hours Language Lesson period SSD
Algebra 3 9 89 Italian First semester MAT/02
Mathematical Physics 3 9 89 Italian Second semester MAT/07
be activated by the A.Y. 2020/2021
First semester
Courses or activities Max ECTS Total hours Language SSD
Compulsory
General Physics 2 9 89 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Mathematical Physics 2 6 58 Italian MAT/07
Second semester
Courses or activities Max ECTS Total hours Language SSD
Optional
General Physics 3 9 89 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Mathematical Physics 3 9 89 Italian MAT/07
Open sessions
There are no specific sessions for these activities (e.g. open online courses).
Courses or activities Max ECTS Total hours Language SSD
Optional
Elements of Applied Mathematics 1 3 27 Italian MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Conclusive activities
Courses or activities Max ECTS Total hours Language SSD
Compulsory
Final Exam 3 0 Italian
Optional activities and study plan rules
3 - In the second and third year of the course the student must acquire 18 credits free of choice.
The following table shows the teachings specifically activated by CDM. The student can also freely choose among all the teachings activated by the university, and in particular among those activated by the CDM in mathematics for a curriculum different from that followed by the student (it is noted that the course of Geometry 4 (first part) is Available only for students of the application curriculum) and among those of the magistral in mathematics.
With regard to the courses of analysis it is advisable to follow real analysis and/or complex analysis.
The choice is subject to the approval of the CDM.
It is noted that the teaching of mathematical methods and models for applications is incompatible with the activity of mathematical methods and models for applications (which is one of the activities of choice for obtaining F-type credits) and, similarly, The teaching of scientific calculation is incompatible with the activity of scientific calculation.
Courses or activities Max ECTS Total hours Language Lesson period SSD
Algebra 4 6 58 Italian Second semester MAT/02
Geometry 5 9 77 Italian First semester MAT/03
Introduction to Image Processing 6 62 Italian Second semester MAT/03 MAT/08
Mathematical Methods and Models for Applications 6 60 Italian First semester MAT/07
Numerical Linear Algebra 6 60 English Second semester MAT/08
Programming 2 6 60 Italian First semester INF/01
Scientific Computing 6 60 Italian Second semester MAT/08
First semester
Courses or activities Max ECTS Total hours Language SSD
Optional
Algebra 3 9 89 Italian MAT/02
Geometry 5 9 77 Italian MAT/03
Mathematical Methods and Models for Applications 6 60 Italian MAT/07
Programming 2 6 60 Italian INF/01
Second semester
Courses or activities Max ECTS Total hours Language SSD
Optional
Algebra 4 6 58 Italian MAT/02
Algorithms 9 89 Italian INF/01
Introduction to Image Processing 6 62 Italian MAT/03 MAT/08
Numerical Linear Algebra 6 60 English MAT/08
Scientific Computing 6 60 Italian MAT/08
Open sessions
There are no specific sessions for these activities (e.g. open online courses).
Courses or activities Max ECTS Total hours Language SSD
Compulsory
English Assessment B1 (3 ECTS) 3 0 Italian L-LIN/12
Optional
Educational Training 3 0 Italian
Essay Written Under the Direction of a Staff Member 3 0 Italian
Internship At the Centre Matematita 3 0 Italian
Internship in Industry 3 0 Italian
Optional activities and study plan rules
2 - The student must obtain 9 credits by choosing a course from the following:
Courses or activities Max ECTS Total hours Language Lesson period SSD
Algorithms 9 89 Italian Second semester INF/01
General Physics 3 9 89 Italian Second semester FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
4 - The student must obtain 6 credits with one or more of the following F-type activities:
Courses or activities Max ECTS Total hours Language Lesson period SSD
Educational Training 3 0 Italian Open sessions
Essay Written Under the Direction of a Staff Member 3 0 Italian Open sessions
Internship At the Centre Matematita 3 0 Italian Open sessions
Mathematical Methods and Models for the Applications 6 60 Italian First semester MAT/07
Topics in Scientific Computing 6 60 Italian Second semester MAT/08
Per gli immatricolati a partire dall'anno accademico 2019/2020, l'esame del corso di Elementi di Matematica di Base è propedeutico a tutti i corsi del secondo e del terzo anno della laurea triennale, per qualsiasi curriculum. Inoltre, per sostenere altri esami è opportuno che gli studenti rispettino le propedeuticità consigliate dai docenti.
First semester
Courses or activities Max ECTS Total hours Language SSD
Compulsory
Algebra 1 9 89 Italian MAT/02
Elements of Basic Mathematics 3 27 Italian MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Geometry 1 6 60 Italian MAT/03
Mathematical Analysis 1 9 89 Italian MAT/05
Second semester
Courses or activities Max ECTS Total hours Language SSD
Compulsory
General Physics 1 9 89 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Geometry 2 9 89 Italian MAT/03
Mathematical Analysis 2 6 60 Italian MAT/05
Programming 1 6 63 Italian INF/01
First semester
Courses or activities Max ECTS Total hours Language SSD
Compulsory
Algebra 2 6 60 Italian MAT/02
Geometry 3 6 58 Italian MAT/03
Mathematical Analysis 3 9 89 Italian MAT/05
Numerical Analysis 1 9 93 Italian MAT/08
Second semester
Courses or activities Max ECTS Total hours Language SSD
Compulsory
Mathematical Analysis 4 6 58 Italian MAT/05
Mathematical Physics 1 6 58 Italian MAT/07
Numerical Analysis 2 9 93 Italian MAT/08
Probability and Mathematical Statistics 1 9 90 Italian MAT/06
Optional
Introduction to Image Processing 6 62 Italian MAT/03 MAT/08
be activated by the A.Y. 2020/2021
First semester
Courses or activities Max ECTS Total hours Language SSD
Compulsory
General Physics 2 9 89 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Mathematical Physics 2 6 58 Italian MAT/07
Probability and Mathematical Statistics 2 9 90 Italian MAT/06
Second semester
Courses or activities Max ECTS Total hours Language SSD
Optional
General Physics 3 9 89 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Open sessions
There are no specific sessions for these activities (e.g. open online courses).
Courses or activities Max ECTS Total hours Language SSD
Compulsory
Elements of Applied Mathematics 1 3 27 Italian MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Conclusive activities
Courses or activities Max ECTS Total hours Language SSD
Compulsory
Final Exam 3 0 Italian
Optional activities and study plan rules
3 - In the second and third year of the course the student must acquire 18 credits free of choice.
The following table shows the teachings specifically activated by CDM. The student can also freely choose among all the teachings activated by the university, and in particular among those activated by the CDM in mathematics for a curriculum different from that followed by the student (it is noted that the course of Geometry 4 (first part) is Available only for students of the application curriculum) and among those of the magistral in mathematics.
With regard to the courses of analysis it is advisable to follow real analysis and/or complex analysis.
The choice is subject to the approval of the CDM.
It is noted that the teaching of mathematical methods and models for applications is incompatible with the activity of mathematical methods and models for applications (which is one of the activities of choice for obtaining F-type credits) and, similarly, The teaching of scientific calculation is incompatible with the activity of scientific calculation.
Courses or activities Max ECTS Total hours Language Lesson period SSD
Algebra 4 6 58 Italian Second semester MAT/02
Geometry 5 9 77 Italian First semester MAT/03
Introduction to Image Processing 6 62 Italian Second semester MAT/03 MAT/08
Mathematical Methods and Models for Applications 6 60 Italian First semester MAT/07
Numerical Linear Algebra 6 60 English Second semester MAT/08
Programming 2 6 60 Italian First semester INF/01
Scientific Computing 6 60 Italian Second semester MAT/08
First semester
Courses or activities Max ECTS Total hours Language SSD
Optional
Geometry 5 9 77 Italian MAT/03
Mathematical Methods and Models for Applications 6 60 Italian MAT/07
Programming 2 6 60 Italian INF/01
Second semester
Courses or activities Max ECTS Total hours Language SSD
Optional
Algebra 4 6 58 Italian MAT/02
Algorithms 9 89 Italian INF/01
Geometry 4 9 89 Italian MAT/03
Numerical Linear Algebra 6 60 English MAT/08
Scientific Computing 6 60 Italian MAT/08
Open sessions
There are no specific sessions for these activities (e.g. open online courses).
Courses or activities Max ECTS Total hours Language SSD
Compulsory
English Assessment B1 (3 ECTS) 3 0 Italian L-LIN/12
Optional
Educational Training 3 0 Italian
Essay Written Under the Direction of a Staff Member 3 0 Italian
Internship At the Centre Matematita 3 0 Italian
Internship in Industry 3 0 Italian
Optional activities and study plan rules
2 - The student must obtain 9 credits by choosing a course from the following:
Courses or activities Max ECTS Total hours Language Lesson period SSD
Algorithms 9 89 Italian Second semester INF/01
General Physics 3 9 89 Italian Second semester FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
5 - The student must obtain 3 credits with one or more of the following F-type activities.
Courses or activities Max ECTS Total hours Language Lesson period SSD
Educational Training 3 0 Italian Open sessions
Essay Written Under the Direction of a Staff Member 3 0 Italian Open sessions
Internship At the Centre Matematita 3 0 Italian Open sessions
Internship in Industry 3 0 Italian Open sessions
Per gli immatricolati a partire dall'anno accademico 2019/2020, l'esame del corso di Elementi di Matematica di Base è propedeutico a tutti i corsi del secondo e del terzo anno della laurea triennale, per qualsiasi curriculum. Inoltre, per sostenere altri esami è opportuno che gli studenti rispettino le propedeuticità consigliate dai docenti.
Course location
Milano
Laboratories locations
Il corso di laurea si avvale principalmente dei laboratori presenti presso il Dipartimento di Matematica, via Saldini 50.
Si veda http://www.matematica.unimi.it/ecm/home/organizzazione/laboratori