# DEGREE REGULATIONS & PROGRAMMES OF STUDY 2013/2014 -- ARCHIVE as at 1 September 2013 for reference onlyTHIS PAGE IS OUT OF DATE

 University Homepage DRPS Homepage DRPS Search DRPS Contact
DRPS : Course Catalogue : School of Mathematics : Mathematics

# Undergraduate Course: Metric Spaces (MATH10049)

 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 3 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 Optional course for Honours Degrees involving Mathematics and/or Statistics. Syllabus summary: Countable sets; open and closed subsets of R; analysis on Rk, open and closed sets; metric spaces, open and closed sets, limits, continuity, equivalent metrics, path-connectedness; completeness, contraction mapping theorem and applications; compactness.
 Pre-requisites Students MUST have passed: ( Foundations of Calculus (MATH08005) AND Several Variable Calculus (MATH08006) AND Linear Algebra (MATH08007) AND Methods of Applied Mathematics (MATH08035)) OR ( Mathematics for Informatics 3a (MATH08042) AND Mathematics for Informatics 3b (MATH08043) AND Mathematics for Informatics 4a (MATH08044) AND Mathematics for Informatics 4b (MATH08045)) Co-requisites Prohibited Combinations Other requirements None Additional Costs None
 Pre-requisites None Displayed in Visiting Students Prospectus? Yes
 Not being delivered
 1. Facility in working with concrete metric spaces based upon Rk and C[a,b] (with various metrics) and the discrete metric. 2. An ability to perform simple abstract arguments involving metric spaces. 3. An ability to demonstrate an understanding of notions such as openness, closedness, continuity, completeness, equivalence of metrics, compactness and path-connectedness as applied in the context of general and specific metric spaces. 4. An appreciation of the contraction mapping theorem and some of its easier applications.
 Examination only. Visiting Student Variant Assessment Examination (100%)
 None
 Academic description Not entered Syllabus Not entered Transferable skills Not entered Reading list http://www.readinglists.co.uk Study Abroad Not entered Study Pattern Not entered Keywords MSp
 Course organiser Dr Aram Karakhanyan Tel: (0131 6)50 5056 Email: aram.karakhanyan@ed.ac.uk Course secretary Dr Jenna Mann Tel: (0131 6)50 4885 Email: Jenna.Mann@ed.ac.uk
 Navigation Help & Information Home Introduction Glossary Search DPTs and Courses Regulations Regulations Degree Programmes Introduction Browse DPTs Courses Introduction Humanities and Social Science Science and Engineering Medicine and Veterinary Medicine Other Information Combined Course Timetable Prospectuses Important Information
© Copyright 2013 The University of Edinburgh - 17 June 2013 4:34 am