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

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.

? Pre-requisites : MAT-2-LiA

? This course has variants for part year visiting students, as follows

• Geometry of Perspective (VS1) (Not being delivered)

Home subject area

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

? 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

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

Coursework: 15%; Degree Examination: 85%.

Exam times

Diet Diet Month Paper Code Paper Name Length 1ST May 1 - 2 hour(s)

The Course Secretary should be the first point of contact for all enquiries.

Course Secretary

Ms Jennifer Marshall
Tel : (0131 6)50 5048
Email : Jennifer.Marshall@ed.ac.uk

Course Organiser

Dr Liam O Carroll
Tel : (0131 6)50 5070
Email : L.O'Carroll@ed.ac.uk

Course Website : http://student.maths.ed.ac.uk

School Website : http://www.maths.ed.ac.uk/

College Website : http://www.scieng.ed.ac.uk/