Undergraduate Programme and Module Handbook 2008-2009 (archived)

# Module MATH2171: CONTOURS AND ACTUARIAL MATHEMATICS II

## Department: Mathematical Sciences

### MATH2171: CONTOURS AND ACTUARIAL MATHEMATICS II

Type | Open | Level | 2 | Credits | 20 | Availability | Available in 2008/09 | Module Cap | None. | Location | Durham |
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#### Prerequisites

- Core Mathematics A (MATH1012) and Core Mathematics B1 (MATH1051) [the latter may be a co-requisite].

#### Corequisites

- Core Mathematics B1 (MATH1051) unless taken before.

#### Excluded Combination of Modules

- Mathematics for Engineers and Scientists (MATH1551), Single Mathematics A (MATH1561), Single Mathematics B (MATH1571), Foundation Mathematics (MATH1641), Complex Analysis II (MATH2011), Contours and Symmetries II (MATH2111), Contours and Hyperbolic Geometry II (MATH2121), Contours and Probability II (MATH2**1) and Probability and Actuarial Mathematics II (MATH2161).

#### Aims

- To study two seperate topics in mathematics at least one of which will demonstrate how mathematics can be applied to real world situations.

#### Content

- Complex differentiation.
- Power Series.
- Contour Integrals.
- Calculus of residues.
- Compound interest.
- Life insurance, future lifetime.
- Life annuities.
- Net premiums.

#### Learning Outcomes

Subject-specific Knowledge:

- By the end of the module students will: be able to solve unseen problems in basic complex analysis and actuarial mathematics.
- Reproduce theoretical mathematics in the fields of basic complex analysis and actuarial mathematics to a level appropriate to Level 2.
- Have a knowledge and understanding of these subjects demonstrated through one or more of the following topic areas: Complex Differentiation; Power Series; Contours integrals and calculus of residues; Compound interest; Life insurance, future lifetime; Life annuities; Net premiums.

Subject-specific Skills:

- In addition students will have enhanced mathematical skills in the following area: Spatial awareness

Key Skills:

#### 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 | Fortnightly 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 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 |

#### Formative Assessment:

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