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DEGREE REGULATIONS & PROGRAMMES OF STUDY 2011/2012
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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Group Theory: An Introduction to Abstract Mathematics (MATH08004)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Course typeStandard AvailabilityAvailable to all students
Credit level (Normal year taken)SCQF Level 8 (Year 1 Undergraduate) Credits10
Home subject areaMathematics Other subject areaSpecialist Mathematics & Statistics (Year 1)
Course website https://info.maths.ed.ac.uk/teaching.html Taught in Gaelic?No
Course description*In 2011-12, this course is available only to students retaking it and will be assessed on an 'exam only' basis.*

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.
Entry Requirements (not applicable to Visiting Students)
Pre-requisites It is RECOMMENDED that students have passed Practical Calculus (MATH08001) AND Solving Equations (MATH08002)
Co-requisites
Prohibited Combinations Students MUST NOT also be taking Mathematics for Informatics 2a (MINF08002) OR Mathematics for Informatics 2b (MATH08047)
Other requirements None
Additional Costs None
Information for Visiting Students
Pre-requisitesNone
Displayed in Visiting Students Prospectus?No
Course Delivery Information
Delivery period: 2011/12 Semester 2, Available to all students (SV1) WebCT enabled:  No Quota:  5
Location Activity Description Weeks Monday Tuesday Wednesday Thursday Friday
No Classes have been defined for this Course
First Class First class information not currently available
Additional information Tutorials: Tu at 1110 and 1210.
Exam Information
Exam Diet Paper Name Hours:Minutes
Main Exam Diet S2 (April/May)2:00
Resit Exam Diet (August)2:00
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%.
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
KeywordsGTh
Contacts
Course organiserDr Toby Bailey
Tel: (0131 6)50 5068
Email: t.n.bailey@ed.ac.uk
Course secretaryMs Louise Durie
Tel: (0131 6)50 5050
Email: L.Durie@ed.ac.uk
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© Copyright 2011 The University of Edinburgh - 16 January 2012 6:23 am