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DEGREE REGULATIONS & PROGRAMMES OF STUDY 2015/2016

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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Geometry of Perspective (MATH11023)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 11 (Year 4 Undergraduate) AvailabilityAvailable to all students
SCQF Credits10 ECTS Credits5
SummaryCourse for final year students in Honours programmes in Mathematics.

1. Projective geometry,

2. perspective drawing and projective transformations,

3. duality,

4. quadrics.

5. The geometry of the space of lines.
Course description Not entered
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Students MUST have passed: Linear Algebra (MATH08007)
Co-requisites
Prohibited Combinations Other requirements None
Information for Visiting Students
Pre-requisitesNone
High Demand Course? Yes
Course Delivery Information
Not being delivered
Learning Outcomes
1. Knowledge of basic properties of projective spaces over arbitrary fields
2. Ability to compute dimensions of intersections and joins
3. Understand the uses of the dual space
4. Understand the geometry of quadrics, especially conics
5. Understand projective transformations and their use
6. Ability to simultaneously diagonalize conics
7. Understand the notion of singular quadrics and be able to find the singular conics in a pencil
8. Familiarity with exterior algebra and decomposable forms
9. Understand the properties and definition of the Klein quadric
Reading List
None
Additional Information
Course URL http://student.maths.ed.ac.uk
Graduate Attributes and Skills Not entered
KeywordsGPe
Contacts
Course organiserDr Liam O'Carroll
Tel: (0131 6)50 5070
Email:
Course secretaryMs Jennifer Marshall
Tel: (0131 6)50 5048
Email:
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