Algebra
Master
In Bergen (Norway)
Description
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Type
Master
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Location
Bergen (Norway)
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Duration
2 Years
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Start date
Different dates available
The Master programme in Algebra gives a general background in mathematics, with special focus on algebra and algebraic geometry. Algebra is a classical field that is associated with the study of polynomials in several variables. The field arose to solve abstract problems originating from neighbouring disciplines such as physics, chemistry, and later computer science, and also from other fields of mathematics, such as number theory.
The programme provides training in abstract thinking and in analyzing mathematical problems where the method of solution is not known. During the programme, the students will develop skills needed for independent study of new fields and for communicating mathematics.
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Subjects
- Mathematics
- Algebra
- GCSE Mathematics
- Knowledge
- Qualifications
- Learning
- Skills
- Project
- Project planning
- Project Description
- Research
- Research communicator
Course programme
A candidate who has completed his or her qualifications should have the following learning outcomes defined in terms of knowledge, skills and general competence:
Knowledge
The candidate
- has a thorough knowledge of mathematics, particularly in algebra. The candidate can relate general and abstract concepts and methods to real calculations and applications.
- has extensive experience in problem solving and a knowledge of strategies for combining different methods.
- has insight into the most important structures in the discipline, such as groups, rings, modules, and homological algebra. The candidate can explain and discuss the basic theory of these structures.
The candidate
- can assess and explain the choice of methods for solving mathematical problems and analyze complex mathematical structures.
- can conduct a research project in an independent and systematic way, including the development of mathematical proofs and perform independent mathematical reasoning and calculations.
- can write and produce mathematics at professional standards, and in an understandable and readable manner.
The candidate
- can analyze mathematical texts and simplify mathematical reasoning by outlining the structure and the most important elements.
- can use the knowledge mentioned above as a basis for a critical approach to the application of the discipline.
- can solve complex problems, even in cases where the choice of method is not obvious or where several different methods must be combined.
- demonstrates understanding and respect for scientific values such as openness, precision and reliability.
Algebra