Undergraduate Programme and Module Handbook 2015-2016 (archived)
Module MATH2647: PROBABILITY II
Department: Mathematical Sciences
MATH2647:
PROBABILITY II
Type |
Open |
Level |
2 |
Credits |
10 |
Availability |
|
Module Cap |
|
Location |
Durham
|
Prerequisites
- Calculus and Probability 1 (MATH1061) and Linear Algebra 1 (MATH1071) and Analysis 1 (MATH1051)[the latter may be a co-requisite].
Corequisites
- Analysis 1 (MATH1051) unless taken
before.
Excluded Combination of Modules
Aims
- To reinforce the knowledge of Probability gained at Level 1 and provide a firm
foundation for modules in this area in higher years.
Content
- 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: Probability: Markov Chains, random walks, real and complex
generating functions, convergence in function space; 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 |
22 |
2 per week for 11 weeks in Michaelmas and Easter |
1 Hour |
22 |
|
Tutorials |
5 |
Fortnightly for 10 weeks |
1 Hour |
5 |
■ |
Problems Classes |
4 |
Fortnightly in Michaelmas |
1 Hour |
4 |
|
Preparation and Reading |
|
|
|
69 |
|
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