Programmes of study (Master's Degree)

Every student must submit a personal Programme of Study before 30th November of the first year (or within a month after the date of enrolment, if it comes after that date). The Programme is completed through the CAPS interface, which is accessible with the personal academic credentials (the ones used for the Alice portal). The Programme will be evaluated by the Programmes of Study Committee.

The Committee requests that one of the following representatives, depending on the area of study, signs (using CAPS) the Programme of Study in order to guarantee its coherence:

  • Mathematical logic: Alessandro Berarducci
  • Algebra: Ilaria Del Corso
  • Geometry: Riccardo Benedetti
  • Mathematics education and history of mathematics: Pietro Di Martino
  • Mathematical analysis: Giovanni Alberti
  • Probability and statistics: Marco Romito
  • Mathematical physics: Giovanni Federico Gronchi
  • Numerical analysis: Dario Andrea Bini
  • Operations research: Giancarlo Bigi

If a Programme is not part of any specific area, or in other particular cases, it can be signed by the President of the Course of Study.

If a student wants to change an approved Programme, they can submit a new Programme (however, new Programmes must be presented with adequate notice with respect to the graduation date).

The Master's Degree Course in Mathematics is structured in five curricula:

  • Applied curriculum;
  • Educational curriculum;
  • General curriculum;
  • Modelling curriculum;
  • Theoretical curriculum.

The curriculum is chosen while submitting the Programme of Study.

ATTENTION: it is important to choose the option corresponding to your Academic Year of enrolment. For information about previous academic years or further details, please refer to the Master's Course Regulations at the designated page.

  General Theoretical Modelling Applied Educational
Year 1 One exam within the IstAppl group (11 CFU/ECTS) Principles of algebra (11 CFU/ECTS) Principles of probability (11 CFU/ECTS) Principles of numerical analysis (11 CFU/ECTS) Principles of mathematical education (11 CFU/ECTS)
One exam within the IstTeor group (11 CFU/ECTS) Principles of mathematical analysis (11 CFU/ECTS) Fundamentals of mathematical physics (11 CFU/ECTS) One exam within the IstTeor group (11 CFU/ECTS)
One exam within the ModTeor group (6 CFU/ECTS) One exam within the ModAppl group (6 CFU/ECTS) One exam within the ModDidStor group (6 CFU/ECTS)
One exam within the ModTeor group (6 CFU/ECTS) One exam within the ModAppl group (6 CFU/ECTS) One exam within the ModDidStor group (6 CFU/ECTS)
One exam within the ModTeor group (6 CFU/ECTS)
One exam within the ModTeor group (6 CFU/ECTS)
One exam within the ModAffInt group (6 CFU/ECTS)
Free choice of the student (6 CFU/ECTS)
Year 2 One exam within the IstTeor group (11 CFU/ECTS) Principles of geometry (11 CFU/ECTS) One exam within the IstFisNum group (11 CFU/ECTS) One exam within the IstTeor group (11 CFU/ECTS) One exam within the IstAppl group (11 CFU/ECTS)
One exam within the ModAffInt group (6 CFU/ECTS)
One exam within the ModAffInt group (6 CFU/ECTS)
One exam within the ModAffInt group (6 CFU/ECTS)
Free choice of the student (6 CFU/ECTS)
Final exam (27 CFU/ECTS)

Notes

  • The student chooses the exams when they submit the Programme of Study. As "free choice" the student may select courses of the Master's Degree Course of Study that are not already present in the Programme of Study, or other courses which are active in some other Courses of Study at the university. In this case they have to be coherent with the educational objectives of the Master's Degree Course in Mathematics. It is also possible to include an internship at a private or public organization that has an agreement with the Department of Mathematics or the University of Pisa.
  • Not all courses defined in the Regulations are active each year; please check the list of active courses before choosing the exams to include in the Programme of Study.
  • Enrolment in the Master's Course of Study may be subjected to restrictions, that is to say, there may be exams that must be present in the Programme of Study. In particular, students that have a Laurea Triennale (Bachelor's Degree) in Mathematics from the class L-35 obtained at the University of Pisa must include the following courses (unless they have been included in the Programme of Study for the Bachelor's Degree):
    • for students that don't choose the Applied curriculum, four exams among:
      • Elements of set theory;
      • Algebra 2;
      • Mathematical analysis 3;
      • Probability;
      • Differential geometry and topology;
    • for students that choose the Applied curriculum, the exam of Scientific Computing and four among the ones listed above.
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