Undergraduate Programme and Module Handbook 2018-2019 (archived)
Module MATH2627: GEOMETRIC TOPOLOGY II
Department: Mathematical Sciences
MATH2627:
GEOMETRIC TOPOLOGY II
Type |
Open |
Level |
2 |
Credits |
10 |
Availability |
Available in 2018/19 |
Module Cap |
|
Location |
Durham
|
Prerequisites
- Calculus and Probability 1 (MATH1061) and Linear Algebra 1 (MATH1071)
Corequisites
Excluded Combination of Modules
Aims
- To provide basic notions of topology in an intuitive visual
way by studying knots, links and surfaces.
Content
- topology: knots, surfaces, knot
invariants.
Learning Outcomes
- By the end of the module students will:
- be able to solve a
range of predictable and unpredictable problems in the given topics,
- have an awareness of the abstract concepts of theoretical
mathematics in the field of the given topics,
- have a knowledge and understanding of the major theories of
these subjects demonstrated through one or more of the following topic
areas: knots, surfaces, knot invariants.
- In addition students will have the ability to undertake and
defend the use of alternative mathematical skills in the following
areas with minimal guidance: Modelling.
Modes of Teaching, Learning and Assessment and how these contribute to
the learning outcomes of the module
- Lectures demonstrate what is required to be learned and the application of the theory to practical examples.
- Weekly/Fortnightly homework problems provide formative assessment to guide students in the correct development of their knowledge and skills.
- Tutorials provide active engagement and feedback to the learning process.
- The end-of-year examination assesses the knowledge acquired and the ability to solve predictable and unpredictable problems.
Teaching Methods and Learning Hours
Activity |
Number |
Frequency |
Duration |
Total/Hours |
|
Lectures |
22 |
2 per week in Epiphany and in first week of Easter |
1 Hour |
22 |
|
Tutorials |
5 |
Fortnightly in Epiphany and one in Easter |
1 Hour |
5 |
■ |
Problems Classes |
5 |
Fortnightly in Epiphany |
1 Hour |
5 |
|
Preparation and Reading |
|
|
|
68 |
|
Total |
|
|
|
100 |
|
Summative Assessment
Component: Examination |
Component Weighting: 100% |
Element |
Length / duration |
Element Weighting |
Resit Opportunity |
End of year written examination |
2 hours |
100% |
Yes |
Fortnightly or Weekly written assignments.
■ Attendance at all activities marked with this symbol will be monitored. Students who fail to attend these activities, or to complete the summative or formative assessment specified above, will be subject to the procedures defined in the University's General Regulation V, and may be required to leave the University