Undergraduate Programme and Module Handbook 2014-2015 (archived)
Module MATH2141: CODES AND GEOMETRIC TOPOLOGY II
Department: Mathematical Sciences
MATH2141:
CODES AND GEOMETRIC TOPOLOGY II
Type |
Open |
Level |
2 |
Credits |
20 |
Availability |
Available in 2014/15 |
Module Cap |
None. |
Location |
Durham
|
Prerequisites
- Calculus and Probability 1 (MATH1061) and Linear Algebra 1 (MATH1071).
Corequisites
Excluded Combination of Modules
- Codes and Actuarial Mathematics II (MATH2131), Probability
and Geometric Topology II (MATH2151)
Aims
- To provide basic notions in two separate topics in mathematics with
a view to study at least one of them in more depth in subsequent
years.
Content
- Topic 1: Codes: linear, block, Hamming, Reed-Solomon,
Application to writing of CDs
- Topic 2: Geometric 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: Codes: linear, block, Hamming, Reed-Solomon, Application to
writing of CDs; Geometric topology: 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
- Lecturing demonstrates what is required to be learned and the
application of the theory to practical examples.
- Weekly 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 |
42 |
2 per week for 21 weeks |
1 Hour |
42 |
|
Tutorials |
10 |
Fortnightly for 20 weeks |
1 Hour |
10 |
■ |
Problems Classes |
10 |
Fortnightly for 20 weeks |
1 Hour |
10 |
|
Preparation and Reading |
|
|
|
138 |
|
Total |
|
|
|
200 |
|
Summative Assessment
Component: Examination |
Component Weighting: 50% |
Element |
Length / duration |
Element Weighting |
Resit Opportunity |
end of year written examination |
1 hour 45 minutes |
100% |
yes |
Component: Examination |
Component Weighting: 50% |
Element |
Length / duration |
Element Weighting |
Resit Opportunity |
end of year written examination |
1 hour 45 minutes |
100% |
yes |
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