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## ECM1708 - Dynamics (2015)

MODULE TITLE | Dynamics | CREDIT VALUE | 15 |
---|---|---|---|

MODULE CODE | ECM1708 | MODULE CONVENER | Prof John Thuburn (Coordinator) |

DURATION: TERM | 1 | 2 | 3 |
---|---|---|---|

DURATION: WEEKS | 0 | 11 weeks | 0 |

Number of Students Taking Module (anticipated) | 189 |
---|

This module teaches you how to use the mathematical theories of calculus and vectors and matrices to model and understand real physical systems. It starts with projectiles and energy equations to tie in with the A level material, and then moves onto more complicated problems such as motion of a particle in a potential landscape, damped and driven oscillators, coupled oscillators, and nonlinear dynamics of interacting species (predator-prey models).

Prerequisite module: ECM1705 or equivalent

Corequisite module:ECM1701

The module aims to introduce you to Newtonian dynamics and its applications; to show you the use of calculus and vectors in the modelling of physical systems; to introduce you to applied mathematics as a tool for investigating natural phenomena. As examples, you will explore the consequences of physical laws, as well as the behaviour of physical systems from projectiles and rockets to planetary motion.

On successful completion of this module, **you should be able to:**

**Module Specific Skills and Knowledge:**

1 demonstrate understanding of basic classical mechanics, and of the modelling of simple mechanical and dynamical systems.

**Discipline Specific Skills and Knowledge:**

2 understand the physical world, how it may be modelled, and how mathematical machinery such as vectors and calculus may be used to analyse these models.

**Personal and Key Transferable/ Employment Skills and Knowledge:**

3 reason about physical systems using abstract ideas and models and communicate reasoning effectively in writing;

4 use learning resources appropriately;

5 show self management and time management skills.

- basic concepts: modelling; point particles, space, time, velocity, acceleration; Newton's laws;

- projectiles: gravity; trajectories; envelope of trajectories;

- simple harmonic motion: elasticity, Hooke's law; strings and springs; equilibria and oscillations;

- energy: kinetic energy and gravitational potential energy; elastic potential energy; motion under general potentials, equilibria, stability and small oscillations;

- oscillations: damping, forcing and resonance; coupled oscillations; normal coordinates;

- nonlinear systems: first order systems; phase plane; classification of equilibria in linear systems; linearisation about equilibria in nonlinear systems; examples of predator-prey models;

- planetary motion: motion in plane polar coordinates; velocity and acceleration; central forces and angular momentum.

Scheduled Learning & Teaching Activities | 49.00 | Guided Independent Study | 101.00 | Placement / Study Abroad | 0.00 |
---|

Category | Hours of study time | Description |

Scheduled learning and teaching activities | 33 | Lectures |

Scheduled learning and teaching activities | 5 | Seminar class |

Scheduled learning and teaching activities | 11 | Tutorials |

Guided independent study | 101 | Guided independent study |

Form of Assessment | Size of Assessment (e.g. duration/length) | ILOs Assessed | Feedback Method |
---|---|---|---|

Three exercises | 30 hours | 1-5 | Seminar classes and tutorials |

Coursework | 20 | Written Exams | 80 | Practical Exams |
---|

Form of Assessment | % of Credit | Size of Assessment (e.g. duration/length) | ILOs Assessed | Feedback Method |
---|---|---|---|---|

Written exam – closed book | 80 | 2 hours | 1-3,5 | In line with CEMPS policy |

Coursework – problem sheets | 20 | 30 hours | 1-5 | Seminar classes and tutorials |

Original Form of Assessment | Form of Re-assessment | ILOs Re-assessed | Time Scale for Re-reassessment |
---|---|---|---|

All above | Written exam (100%) | All | August Ref/Def period |

If a module is normally assessed entirely by coursework, all referred/deferred assessments will normally be by assignment.

If a module is normally assessed by examination or examination plus coursework, referred and deferred assessment will normally be by examination. For referrals, only the examination will count, a mark of 40% being awarded if the examination is passed. For deferrals, candidates will be awarded the higher of the deferred examination mark or the deferred examination mark combined with the original coursework mark.

information that you are expected to consult. Further guidance will be provided by the Module Convener

ELE – http://vle.exeter.ac.uk

Reading list for this module:

Type | Author | Title | Edition | Publisher | Year | ISBN | Search |
---|---|---|---|---|---|---|---|

Set | Collinson C.D. and Roper T. | Particle Mechanics | Arnold | 1995 | 000-0-340-61046-8 | [Library] | |

Set | Lunn M. | A first course in Mechanics | Oxford University Press | 1991 | 978-0198534334 | [Library] | |

Set | Dyke P. & Whitworth R. | Guide to Mechanics | Macmillan | 1992 | 000-0-333-51072-0 | [Library] | |

Set | Smith P. & Smith R.C. | Mechanics | 2nd | Wiley | 1990 | 000-0-471-92737-6 | [Library] |

CREDIT VALUE | 15 | ECTS VALUE | 7.5 |
---|---|---|---|

PRE-REQUISITE MODULES | ECM1705 |
---|---|

CO-REQUISITE MODULES | ECM1701 |

NQF LEVEL (FHEQ) | 4 | AVAILABLE AS DISTANCE LEARNING | No |
---|---|---|---|

ORIGIN DATE | Friday 09 January 2015 | LAST REVISION DATE | Monday 12 January 2015 |

KEY WORDS SEARCH | Dynamics; projectiles; oscillations; coupled oscillators; stability theory; planetary motion. |
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