MAS8703 : Geometries and designs (Inactive)
- Inactive for Year: 2024/25
- Module Leader(s): Dr Oli King
- Owning School: Mathematics, Statistics and Physics
- Teaching Location: Newcastle City Campus
Semesters
Your programme is made up of credits, the total differs on programme to programme.
Semester 1 Credit Value: | 10 |
ECTS Credits: | 5.0 |
European Credit Transfer System |
Aims
To introduce students to basic geometric ideas and constructions, and to train them to deal with geometric and combinatorial questions, problems and proofs.
Module Summary
We are all familiar with shapes, patterns and pictures from our earliest consciousness. So, too, geometry has been part of mathematics since the beginning of mathematical explorations. The serious study of geometry involves the systematic development of its basic concepts and the constant meeting of particular configurations that have pictorial elegance and beauty. This can occur in settings other than the ordinary Euclidean plane; for example, in the projective plane which has a line at infinity, or in planes where the co-ordinates belong to a finite field. Figures in the latter involve a finite number of points, lines and conics etc., which have combinational properties. These generalise to the ideas of designs, which figure in applications like the design of experiments. There is a wealth of possible material. The module will seek to convey an appreciation of some of this.
Outline Of Syllabus
Designs, Incidence matrices, symmetric designs, Hadamard matrices and Hadamard designs. The projective plane, co-ordinate systems, Desargues' Theorem, Pappus' Theorem. Conics, canonical form, Pascal's Theorem.
Teaching Methods
Teaching Activities
Category | Activity | Number | Length | Student Hours | Comment |
---|---|---|---|---|---|
Scheduled Learning And Teaching Activities | Lecture | 2 | 1:00 | 2:00 | Revision lectures |
Guided Independent Study | Assessment preparation and completion | 1 | 6:00 | 6:00 | Revision for class test |
Scheduled Learning And Teaching Activities | Lecture | 25 | 1:00 | 25:00 | Formal lectures |
Guided Independent Study | Assessment preparation and completion | 1 | 13:00 | 13:00 | Revision for unseen exam |
Guided Independent Study | Assessment preparation and completion | 1 | 2:00 | 2:00 | Unseen exam |
Scheduled Learning And Teaching Activities | Lecture | 1 | 1:00 | 1:00 | Class test |
Scheduled Learning And Teaching Activities | Lecture | 4 | 1:00 | 4:00 | Problem classes |
Scheduled Learning And Teaching Activities | Drop-in/surgery | 4 | 1:00 | 4:00 | Drop-ins in lecture room or office |
Guided Independent Study | Independent study | 1 | 22:00 | 22:00 | Studying, practising, and gaining understanding of course material |
Guided Independent Study | Independent study | 3 | 3:00 | 9:00 | Review of coursework assignments and course test |
Guided Independent Study | Independent study | 2 | 6:00 | 12:00 | Preparation for coursework assignments |
Total | 100:00 |
Jointly Taught With
Code | Title |
---|---|
MAS3703 | Geometries and designs |
Teaching Rationale And Relationship
Lectures are used for the delivery of theory and explanation of methods, illustrated with examples, and for giving general feedback on marked work. Problem Classes are used to help develop the students’ abilities at applying the theory to solving problems. Tutorials are used to identify and resolve specific queries raised by students and to allow students to receive individual feedback on marked work. In addition, office hours (two per week) will provide an opportunity for more direct contact between individual students and the lecturer.
Assessment Methods
The format of resits will be determined by the Board of Examiners
Exams
Description | Length | Semester | When Set | Percentage | Comment |
---|---|---|---|---|---|
Written Examination | 120 | 1 | A | 90 | N/A |
Written Examination | 40 | 1 | M | 5 | Class test |
Exam Pairings
Module Code | Module Title | Semester | Comment |
---|---|---|---|
1 | N/A |
Other Assessment
Description | Semester | When Set | Percentage | Comment |
---|---|---|---|---|
Prob solv exercises | 1 | M | 5 | Coursework assignments |
Assessment Rationale And Relationship
A substantial formal unseen examination is appropriate for the assessment of the material in this module. The coursework assignments are expected to consist of two written assignments of equal weight: the exact nature of assessment will be explained at the start of the module. The coursework assignments and the (in class) coursework test allow the students to develop their problem solving techniques, to practise the methods learnt in the module, to assess their progress and to receive feedback; these assessments have a secondary formative purpose as well as their primary summative purpose.
Reading Lists
Timetable
- Timetable Website: www.ncl.ac.uk/timetable/
- MAS8703's Timetable