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DEGREE REGULATIONS & PROGRAMMES OF STUDY 2014/2015
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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Differential Geometry (MATH10002)

This course will be closed from 31 July 2013

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Course typeStandard AvailabilityAvailable to all students
Credit level (Normal year taken)SCQF Level 10 (Year 3 Undergraduate) Credits10
Home subject areaMathematics Other subject areaSpecialist Mathematics & Statistics (Honours)
Course website https://info.maths.ed.ac.uk/teaching.html Taught in Gaelic?No
Course descriptionOptional course for Honours Degrees involving Mathematics and/or Statistics. Syllabus summary: Differential forms, moving frames, first and second fundamental forms of a surface, curvature, adapted frames, results on surfaces, isometric surfaces, Theorem Egregium, geodesics on surfaces, integration of forms, statement of general Stokes' theorem, Euler characteristic, Gauss-Bonnet theorem (sketch proof only).
Entry Requirements (not applicable to Visiting Students)
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
Information for Visiting Students
Pre-requisitesNone
Displayed in Visiting Students Prospectus?Yes
Course Delivery Information
Not being delivered
Summary of Intended Learning Outcomes
1. An ability to perform simple manipulations with forms; being able to relate these to the standard differential formulae of 3 dimensions (grad, div, curl) if these have been covered in other courses.
2. An understanding of the fundamental forms of a surface (I, II) and its principal curvatures. An ability to compute simple examples.
3. Ability to translate the "general Stokes' theorem" into the examples of vector calculus.
Assessment Information
Examination only.
Special Arrangements
None
Additional Information
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
KeywordsDGe
Contacts
Course organiserDr James Lucietti
Tel: (0131 6)51 7179
Email: 		Course secretaryDr Jenna Mann
Tel: (0131 6)50 4885
Email:
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