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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Geometry of Perspective (MATH11023)

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 11 (Year 4 Undergraduate) Credits 10
Home subject area Mathematics Other subject area Specialist Mathematics & Statistics (Honours)
Course website http://student.maths.ed.ac.uk Taught in Gaelic? No
Course description Course 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.
Entry Requirements
Pre-requisites Students MUST have passed: Linear Algebra (MATH08007)
Co-requisites
Prohibited Combinations Other requirements None
Additional Costs None
Information for Visiting Students
Pre-requisites None
Displayed in Visiting Students Prospectus? Yes
Course Delivery Information
Not being delivered
Summary of Intended 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
Assessment Information
Coursework: 15%; Degree Examination: 85%.
Visiting Student Variant Assessment
Coursework (15%); 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
Keywords GPe
Contacts
Course organiser Dr Liam O'Carroll
Tel: (0131 6)50 5070
Email: L.O'Carroll@ed.ac.uk
Course secretary Ms Jennifer Marshall
Tel: (0131 6)50 5048
Email: Jennifer.Marshall@ed.ac.uk
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copyright 2011 The University of Edinburgh - 31 January 2011 7:59 am