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Title: Mathematical Modelling - Block 4

ISBN: 9780749252847

Publication Year: 2009

Type: Textbook

Format: Paperback

Language: English

Publication Name: Mathematical Methods and Models: Block 4: Course Mst209

Author: Open University Course Team

Publisher: Open University Worldwide

Subject: Mathematics

Number of Pages: 176 Pages

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This block contains units 13 - 16. Unit 13: Modelling with Non-linear Differential Equations: This unit explores the mathematical models associated with two physical systems: the growth of two interacting populations, predator and prey, and the motion of a rigid pendulum. This is demonstrated through Lotka-Volterra equations, which apply to a pair of interacting populations. How can these equations be linearized near an equilibrium state and the solutions represented graphically? Unit 14: Modelling Motion in Two and Three Dimensions: This unit focuses on to motion and forces in more than one dimension. It draws on ideas about vectors, forces and component forces and fundamental ideas about mechanics of particles, in particular Newton's second law. There is also mention of kinetic energy and potential energy. The video sequences associated with this unit are available on the DVD (order code MST209/DVDR01), though it is not essential for you to view these. Unit 15: Modelling Heat Transfer: This unit makes use of ideas relating to energy and first-order differential equations. It begins by developing models that could be used to answer questions such as: How much does it cost to heat up a tank full of hot water? What thickness of insulation should be applied to a hot-water tank? Is it better to insulate the roof, insulate the walls or double-glaze the windows of my house? To answer these questions we must consider the transfer of heat energy between different regions of space. This unit introduces the basic ideas of heat energy and temperature, discussing conduction, convection and radiation. Unit 16: Interpretation of Mathematical Models: This unit introduces the ideas of mathematical modelling. It discusses the five key stages of the mathematical modelling process in detail and looks at dimensions and units of physical quantities to see how they can be used to predict and check the outcomes of the modelling process.

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Open University Worldwide

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9780749252847

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Author

Open University Course Team

Publication Name

Mathematical Methods and Models: Block 4: Course Mst209

Format

Paperback

Language

English

Subject

Mathematics

Publication Year

2009

Type

Textbook

Number of Pages

176 Pages

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Open University Course Team

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United Kingdom

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Mubin Ahmed

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