Geometry of Perspective (VS1) (U01929)

? Credit Points : 10 ? SCQF Level : 11 ? Acronym : MAT-4-GPe

1. Projective geometry,
2. perspective drawing and projective transformations,
3. duality,
4. quadrics.
5. The geometry of the space of lines.

Entry Requirements

? This course is only available to part year visiting students.

? This course is a variant of the following course : U01877

Subject Areas

Home subject area

Specialist Mathematics & Statistics (Honours), (School of Mathematics, Schedule P)

Delivery Information

? Normal year taken : 4th year

? Delivery Period : Not being delivered

? Contact Teaching Time : 2 hour(s) per week for 11 weeks

All of the following classes

Type	Day	Start	End	Area
Lecture	Tuesday	10:00	10:50	KB
Lecture	Friday	10:00	10:50	KB

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