Undergraduate Programme and Module Handbook 2010-2011 (archived)
Module MATH2571: CODES AND PROBABILITY II
Department: Mathematical Sciences
MATH2571:
CODES AND PROBABILITY II
Type |
Open |
Level |
2 |
Credits |
20 |
Availability |
Not available in 2010/11 |
Module Cap |
None. |
Location |
Durham
|
Prerequisites
- Core A Mathematics (MATH1012).
Corequisites
Excluded Combination of Modules
- Codes & Actuarial Mathematics II (MATH2131), Codes and Geometric Topology II (MATH2141), Probability and Actuarial Mathematics II (MATH2161), Probability and Geometric Topology II (MATH2151) and Contours and Probability II (MATH2561).
Aims
- To study two separate topics in mathematics at least one of which will demonstrate how mathematics can be applied to real world situations.
Content
- Topic 1: Codes: linear, block, Hamming, Reed-Solomon, Application to writing of CDs.
- Topic 2: Probability: Markov chains, random walks, real and complex generating functions, convergence in function space.
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; Probability: Markov Chains, random walks, real and complex generating functions, convergence in function space.
- 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 |
38 |
2 per week |
1 Hour |
38 |
|
Tutorials |
10 |
Fortnightly for 20 weeks |
1 Hour |
10 |
■ |
Problems Classes |
10 |
Frtnightly for 20 weeks |
1 Hour |
10 |
|
Preparation and Reading |
|
|
|
142 |
|
Total |
|
|
|
200 |
|
Summative Assessment
Component: Examination |
Component Weighting: 50% |
Element |
Length / duration |
Element Weighting |
Resit Opportunity |
end of year 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