Undergraduate Course: Number Theory (MATH10036)
Course Outline
School |
School of Mathematics |
College |
College of Science and Engineering |
Course type |
Standard |
Availability |
Available to all students |
Credit level (Normal year taken) |
SCQF Level 10 (Year 4 Undergraduate) |
Credits |
10 |
Home subject area |
Mathematics |
Other subject area |
Specialist Mathematics & Statistics (Honours) |
Course website |
http://student.maths.ed.ac.uk |
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Course description |
Course for final year students in Honours programmes in Mathematics.
Solving linear equations in integers, primes, Fundamental Theorem of Arithmetic, primitive roots, pseudoprimes, congruences, quadratic residues and reciprocity, arithmetical functions, representation of integers as sums of squares, and p-adic numbers. |
Entry Requirements
Pre-requisites |
Students MUST have passed:
Numbers & Rings (MATH10023)
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Co-requisites |
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Prohibited Combinations |
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Other requirements |
None
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Additional Costs |
None |
Course Delivery Information
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Delivery period: 2010/11 Semester 2, Available to all students (SV1)
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WebCT enabled: Yes |
Quota: None |
Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
King's Buildings | Lecture | | 1-11 | 12:10 - 13:00 | | | | | King's Buildings | Lecture | | 1-11 | | | | 12:10 - 13:00 | |
First Class |
Week 1, Monday, 12:10 - 13:00, Zone: King's Buildings. JCMB, room 6206 |
Summary of Intended Learning Outcomes
1. Ability to solve any linear equation in integers.
2. Ability to solve linear and quadratic congruences.
3. Familiarity with methods for writing an integer as a sum of two squares.
4. Appreciation of some algebraic techinques in number theory.
5. Sense of wonderment at the beauty of the subject.
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Assessment Information
Examination only.
Visiting Student Variant Assessment
Examination only. |
Please see Visiting Student Prospectus website for Visiting Student Assessment information |
Special Arrangements
Not entered |
Contacts
Course organiser |
Dr Liam O'Carroll
Tel: (0131 6)50 5070
Email: L.O'Carroll@ed.ac.uk |
Course secretary |
Mrs Alison Fairgrieve
Tel: (0131 6)50 6427
Email: Alison.Fairgrieve@ed.ac.uk |
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copyright 2010 The University of Edinburgh -
1 September 2010 6:18 am
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