Undergraduate Course: Group Theory: An Introduction to Abstract Mathematics (MATH08004)
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 08 (Year 1 Undergraduate) |
Credits |
10 |
Home subject area |
Mathematics |
Other subject area |
Specialist Mathematics & Statistics (Year 1) |
Course website |
http://student.maths.ed.ac.uk |
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Course description |
Core first year course for Honours Degrees in Mathematics and/or Statistics. Syllabus summary: True and false mathematical statements. Functions between sets. Infinite sets, countable and uncountable. Numbers: primes, proof of the existence of infinitely many primes. Rational numbers, irrationality of the square root of 2. Modular arithmetic: elementary exercises in reasoning. Ideas of addition and multiplication mod n. Euclidean algorithm, congruence equations. Permutations: definition, construction of multiplication table for S3. Groups: the idea of a group, identity, inverses, subgroups. The above examples, invertible matrices, symmetries of geometrical figures. Theory of groups: definition of group. Uniqueness of inverses, etc., as examples of proof, associativity of multiplications assumed throughout. Cosets and Lagrange's theorem, Fermat's little theorem. The idea of isomorphism. |
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: 271 |
Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
Central | Lecture | | 1-11 | | | 12:10 - 13:00 | | | Central | Lecture | | 1-11 | | | | | 12:10 - 13:00 |
First Class |
Week 1, Wednesday, 12:10 - 13:00, Zone: King's Buildings. David Hume Tower, Lecture Theatre C |
Additional information |
Tutorials: Tu at 1110 and 1210. |
Summary of Intended Learning Outcomes
1. Appreciation of and the ability to handle abstract arguments in set theory and group theory.
2. Ability to apply such arguments in number theory and geometry. |
Assessment Information
Coursework (which may include a Project): 15%; Degree Examination: 85%.
Visiting Student Variant Assessment
Coursework (which may include a Project): 40%
Examination: 60%. |
Please see Visiting Student Prospectus website for Visiting Student Assessment information |
Special Arrangements
Not entered |
Contacts
Course organiser |
Dr Toby Bailey
Tel: (0131 6)50 5068
Email: t.n.bailey@ed.ac.uk |
Course secretary |
Miss Louise Durie
Tel: (0131 6)50 5059
Email: L.Durie@ed.ac.uk |
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copyright 2010 The University of Edinburgh -
1 September 2010 6:17 am
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