General course objectives:
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To introduce several algebraic constructions (groups, rings and fields). These constructions will be applied in different areas, among others geometry and discrete mathematics. |
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Learning objectives: |
| A student who has met the objectives of the course will be able to: |
- give the definition of a group
- apply group theory to solve counting problems
- describe symmetries of geometric object (eg platonic solids)
- give the definition of a ring
- perform Euklid's algorithms on polynomials and numbers
- explain some applications of ringtheory in praxis.
- understand the construction of fields from rings (especially finite fields)
- describe how finite fields are used
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Content:
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To introduce several algebraic constructions (groups, rings and fields). These constructions will be applied in different areas, among others geometry and discrete mathematics. An impression is given as to how the theory is applied. This course can also be seen as a preparatory course for further courses in discrete mathematics. |
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Responsible:
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, 303 B, 154, (+45) 4525 3022,
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Department:
| 01 Department of Mathematics | Registration Sign up:
| At CampusNet |
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