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 |
https://info.maths.ed.ac.uk/teaching.html |
Taught in Gaelic? | No |
| 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 (not applicable to Visiting Students)
| Pre-requisites |
Students MUST have passed:
Numbers & Rings (MATH10023)
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Co-requisites | |
| Prohibited Combinations | |
Other requirements | None |
| Additional Costs | None |
Information for Visiting Students
| Pre-requisites | None |
| Displayed in Visiting Students Prospectus? | Yes |
Course Delivery Information
| Not being delivered |
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
Coursework & examination.
Visiting Student Variant Assessment
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Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
Not entered |
| Transferable skills |
Not entered |
| Reading list |
Not entered |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords | NTh |
Contacts
| Course organiser | Dr Chris Smyth
Tel: (0131 6)50 5054
Email: C.Smyth@ed.ac.uk |
Course secretary | Mrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email: Alison.Fairgrieve@ed.ac.uk |
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