Mathematics

Overview

The Department of Mathematics at the University of Trento aims at training professional mathematicians to pursue the study of scientific and technological problems by mathematical methods and at undertaking research in various branches of the subject.

The Department covers all main fields of Modern Mathematics, from Algebra to Geometry, Analysis, Probability and Statistics, Mathematical Physics and Numerical Analysis, and has earned an outstanding reputation for excellence in the application of fields such as Biomedicine (for example, modeling of the cardiovascular system), Biomathematics (for example, vaccination strategies against pandemics), and Data Security (for example, error-correcting codes used in critical applications such as in train signaling).

Program Overview

• General Advanced Mathematics
• Advanced Algebra and Geometry
• Calculus of Variations, Partial Differential Equations, and Dynamic Systems.

• Mathematics for Data Science is especially aimed at students who wish to work in the Data Analysis departments.
• Modeling, Statistics, and Analysis of Biosystems study the models used to investigate various complex biological systems. Among others, models of epidemic spread are studied.
• Modeling and Simulation for Biomedical Applications yields competencies in mathematics, numerical computation, physics, physiology, applicable to a range of disciplines in medicine, the pharmaceutical industry, sanitary services
• Modeling, Statistics, and Analysis in Mathematical Finance aim at preparing students with modern education in probabilistic, statistical, and computational methods.

• Cryptography introduces the theoretical and practical aspects of modern cryptography and Error Correction Codes. It shows, how important methods adopted in mobile phones, smart cards, browsers, or decoders are constructed starting from very refined algebraic and geometric theoretical instruments. It proposes two particular study plans: stage-oriented and research-oriented.

Curriculum

The Master’s degree program in Mathematics consists of 120 ECTS–credits for a two-year program. Students will undertake demanding full-time learning activities: attendance at lectures, laboratory sessions, and additional training sessions is strongly recommended. All courses are taught in English.

Depending on the taught module students are required to select a certain number of credits from the list of core course units (caratterizzanti) and from the list of related course units following the specific regulations outlined in the prospectus (Manifesto degli studi). Students shall choose elective course units to complete the Master’s degree program in Mathematics from any degree programs but those courses will be subjected to approval by the Teaching Committee of the Department of Mathematics.

Students may choose to develop a final thesis supervised by a member of the faculty or to undertake an internship and produce a thesis based upon the experience.

Credits required to complete the Master’s degree program in Mathematics: 120 ECTS

Notes: according to the Sorbonne (1988) and the Bologna (1999) declarations university-level study programs in the European Higher Education Area are structured in university credits (ECTS). A university credit corresponds to 25 hours of student workload, time for personal preparation included. The annual average workload for a full-time student is conventionally fixed at 60 credits.

Program Outcome

The Master Degree in Mathematics aims to form scientists and professionals that master a deep knowledge of the theoretical principles that are the base of mathematical sciences, as well as specific competencies relative to other fields.

Among the learning objectives common to all the specializations there is:

• the ability to work with large autonomy, also assuming responsibility for plans and structures of great dimensions
• the widening of the surveying scientific method, the inductive method of logical-deductive reasoning, and methods tied to experimentation
• the knowledge of the foundations of pure mathematics, and the knowledge of at least another discipline and the knowledge of relevant mathematical applications to it.

Career Opportunities

• in companies and industry
• in laboratories and research centers
• in the field of the scientific culture dissemination
• in the field of services
• in Public Administration

• Mathematicians, statistics, and related professions
• Information Technologies technicians
• Applications expert technicians
• Statistical technicians