MSc in Mathematics
University Of L'Aquila
Key Information
Campus location
L'Aquila, Italy
Languages
English
Study format
On-Campus
Duration
2 years
Pace
Full time
Tuition fees
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Introduction
Mathematics
Department: Information Engineering, Computer Science and Mathematics
Level: Master's
Class: LM40
Admission typology: Open admission with assessment of personal competencies and skills
Internationalization: International degree course
This course of study is aimed at giving students a solid background in Mathematics and, at the same time, the possibility to acquire a practical and interdisciplinary preparation. It’s organized in two-years training paths for a total of 120 credits.
Admissions
Curriculum
Graduates must show a very good understanding of the most important mathematical techniques and a good ability to apply them in the modelling of physical, biological and financial phenomena.
They must have very good inductive and deductive reasoning skills.
In detail, the training path is organized in order to acquire:
Knowledge:
- very good knowledge and understanding of mathematical techniques in theoretical fields, which students acquire by attending compulsory courses of Algebra, Mathematical Analysis, First-year Geometry.
- in-depth knowledge of mathematical modelling: mechanics, analytical mechanics, classic mathematical models of physics, which students acquire by attending courses of Mathematical physics and Physics;
- in-depth analysis of specific mathematical and modelling techniques, which students acquire by attending courses of Probability and Mathematical physics;
- knowledge of the processing techniques of scientific computation, which students acquire by attending the course of Numerical Analysis;
- advanced knowledge of models and proof techniques in specific areas, both theoretical and practical, by means of optional courses belonging to the above-mentioned sectors, which range, according to the students’ choice, from the most theoretical to the most practical ones, such as finance, engineering and management.
- knowledge of the teaching techniques and learning processes of mathematics.
Abilities:
- Ability to understand and handle complex mathematical structures;
- Ability to apply, process and conceive advanced calculation techniques;
- High levels of abstraction and rigorous deduction of the consequences implied by the hypothesis;
- Ability to convert a real problem into a mathematical model;
- Ability to solve complex problems by solving equations and optimization techniques;
- Ability to communicate their own reasoning and results in a clear and effective way to both experts and non-experts, in both written and oral form;
- Ability to express formulaically the laws regulating the dynamics of phenomena, through the interdisciplinary cooperation;
- Ability to transfer their own mathematical knowledge to third persons;
Learning methods: dedicated basic and distinctive teaching programs.
Evaluation and testing methods: individual exams with final oral and written examination, possible intermediate tests with partial evaluation or feedback purposes.
Applying knowledge and understanding
Graduates must be able to apply their knowledge and understanding skills in order to demonstrate a professional approach to their work, and they must have solid competencies for both raising and supporting arguments and solving problems in their own field of study.
They must be able to identify all the essential elements of a problem and be able to model it, in mathematical terms. They must also be able to understand, use and design the appropriate analytical and numerical methods for the addressed issues.
In detail, students must acquire:
Specific competencies:
- Ability to solve complex problems in a logical and rigorous way.
- Calculation skills with advanced theoretical and practical mathematical tools.
- Ability to deduce decision strategies on the basis of proposed and analyzed models.
- Ability and flexibility to apply these reasoning tools to any cognitive area.
- Ability to analyse a decision problem in a critical and rigorous way.
- Ability to produce rigorous and original proofs.
Learning methods: teaching programs with axiomatic treatments. Extensive practice of calculus and numerical exercises.
Evaluation and testing methods: all the written examinations provide for the application of knowledge to solve problems not yet encountered.
Making Judgements
Graduates must be able to critically analyze a mathematical proof and produce a standard one, if necessary. Furthermore, they must be able to do autonomous bibliographic researches by using mathematics books and by making themselves familiar with scientific and specialized journals. At last, they must be able to use WEB archives for their scientific research, by selecting the available information needed.
Learning methods: These abilities are the result of exercise activities.
Evaluation and testing methods: in the intermediate examinations, students are asked to solve autonomously both theoretical and computational mathematical problems. They are moreover asked to show a good level of autonomy by conceiving and writing the degree thesis.
Communication skills
Graduates must be able to present their own research or the results of a bibliographic research to an audience of both specialists and amateurs.
Learning methods: Training activities carried out by working in team and writing reports and/or essays. Preparation of the oral and written presentation of the final exam.
Evaluation and testing methods: Assessment of the oral ability during oral examinations. Presentation of the degree thesis.
Learning skills
Graduates must have acquired a deep understanding of the nature and methods of mathematical research and how it is applicable to different fields. Furthermore, they must be able to develop complex proofs and modify standard proofs to adapt them to new situations, by studying scientific issues. They must also understand the limits of their knowledge and be able to identify and choose books and other useful material to increase their knowledge. Learning methods: Professors and tutors guide students in order to improve their study method from the first year.
The English language, that is a prerequisite for the access at an intermediate level, is increased constantly and progressively during the training process.
Evaluation and testing methods: A wrong study method doesn’t allow students to properly attend this course of study. Evaluation of the acquisition of themes proposed for autonomous learning.
Program Outcome
This course of study is aimed at giving students a solid background in Mathematics and, at the same time, the possibility to acquire a practical and interdisciplinary preparation. It’s organized in two-years training paths for a total of 120 credits.
The first year is addressed to the in-depth analysis of advanced mathematics subjects, and the study of mathematical techniques that will be then applied to the analysis of various problems in mathematics, physics, finance, biology, etc.
In the second year, students will have the possibility, by choosing some in-depth training courses, to orient their theoretical or practical education towards the different above-mentioned sectors, with the intention of an easier access to the world of work, thanks to the specific competencies acquired.
This Course of Study is recognized as an international master's degree, since the teaching programs are in English and there are various academic cooperation agreements with foreign institutions for the simultaneous issue of the title at the end of the training path.
The details relating to these conventions are approved annually and represent an addendum of the academic regulations of the reference Athenaeum.
In detail, two training paths are provided:
- PURE AND APPLIED MATHEMATICS;
- APPLIED AND INTERDISCIPLINARY MATHEMATICS.
The list of the training activities provided for by the three training paths are mentioned in the attachment. The different training paths are anyway organised in order to acquire:
- all the fundamental techniques of mathematical analysis, geometry, algebra, numerical analysis and probability;
- in-depth knowledge of mathematical modelling;
- in-depth analysis of specific mathematical and modelling techniques;
These objectives are thought to allow Master’s graduates in Mathematics to continue their studies for a PhD or to access directly the world of work, with particular attention to the teaching profession and those sectors that are strongly oriented towards quantitative methods, such as insurance companies and financial institutions, institutes of statistical, social and economic research, ICT (Information and Communication Technology) companies.
Program Tuition Fee
Career Opportunities
Role in a work environment:
Functions of high responsibility in building and analysing different types of mathematical models and in the design and analysis of resolution methods in several application fields, more precisely in the following fields:
- Environment and meteorology;
- Banks, insurance companies and finance;
- Publishing industry and Science communication; Logistics and transport;
- Biomedical and healthcare sciences and in all the sectors requiring the use of mathematical models;
- Communication of Mathematics and Science.
- Teaching.
- Original research in the field of mathematics.
Skills associated with the function
Role competencies:
Flexible mentality, strong computational and computer skills, a good familiarity with the management, analysis and processing of numerical data and the ability to build, analyse and manage mathematical models.
Rapid insertion into different work environments and good learning, creating and design skills with respect to new professional techniques.
Ability to communicate their own and other authors’ problems, ideas and solutions regarding advanced sectors of Mathematics to specialist or non-specialist audiences, in Italian and in English, in both written and oral form.
Ability to provide a rigorous demonstration of the mathematical results, even if not correlated to already known results.
Ability to theoretically solve complex problems in specific sectors of Mathematics, along with the ability to build and analyse appropriate methods of explicit solution.
Professional status.
Professional opportunities:
Companies and firms operating in the application, scientific, industrial, business and services sectors and in the public administration.
Continuative and coordinated collaboration, collaboration agreements or as freelancers for publishing houses, newspapers, magazines, radio and TV networks, Websites and, in general, communication and multimedia companies.
Master’s graduates having the right number of university credits provided by the existing law will be able to access the admission tests to the training courses for teachers for lower and upper secondary schools.
Access to the research field by undertaken further studies in PhD Programmes, in Mathematics or in other science disciplines.