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 (not applicable to Visiting Students)
| Pre-requisites |
Students MUST have passed:
Linear Algebra (MATH08007)
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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
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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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