Last modified: 25 Mar 2016 11:35
This
course concerns the integers, and more generally the ring of algebraic integers
in an algebraic number field. The course begins with statements
concerning the rational integers, for example we discuss the Legendre symbol
and quadratic reciprocity. We also prove a result concerning the distribution
of prime numbers. In the latter part of the course we study the ring of
algebraic integers in an algebraic number field. One crucial result is the
unique factorisation of a nonzero ideal as a product of primes,
generalising classical prime factorisation in the integers.
| Study Type | Undergraduate | Level | 4 |
|---|---|---|---|
| Term | Second Term | Credit Points | 15 credits (7.5 ECTS credits) |
| Campus | None. | Sustained Study | No |
| Co-ordinators |
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Information on contact teaching time is available from the course guide.
1st Attempt: 1 two-hour examination (80%) and in-course assessment (20%).
Resit: If required and permitted by Regulations, there will be 1 two-hour written examination. The CAS mark will be based on the maximum of examination (100%) and examination (80%) together with in-course assessment (20%).
Only the marks obtained at the first attempt can count towards Honours classification.
In-course assignments will normally be marked within one week and feedback provided to students in tutorials. Students will be invited to contact the Course Coordinator for feedback on the final examination. Students undertake practice questions in tutorials allowing formative assessment and feedback from tutors.
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