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Mathematical Methods and Models: Block 6

Mathematical Methods and Models: Block 6


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About the Book

This block contains units 21 - 24. Unit 21 - Fourier Series - This unit is concerned with the technique of expressing a periodic function as a sum of terms, where each term is a constant, a sine function or a cosine function. This unit assumes you have a background knowledge of the definition of the period (unit 7), forced oscillations and resonance (Unit 17, and integration by parts (Unit 1). Unit 22 - Partial Differential Equations - This unit builds on ideas previously introduced in unit 12 regarding the diffusion equation and the wave equation, in the context of modelling the vibrations of a taut string (such as guitar string). Unit 23 - Scalar and Vector Fields - The main focus of this unit is the differential calculus of scalar and vector fields, i.e. the study of how scalar and vector fields vary from one point to another. A brief introduction to the properties of orthogonal matrices and pictorial representations of scalar and vector fields is given along with an extended discussion of the gradient function of a scalar field. Cylindrical and spherical polar coordinate systems for specifying points in three dimensions is also introduced in this unit. Unit 24 - Vector Calculus - This unit discusses the divergence of a vector field, the curl of a vector field, the scalar line integral and linking line integrals curl and gradient. This unit also builds on the concepts of kinetic energy and potential energy.


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Product Details
  • ISBN-13: 9780749252861
  • Publisher: OPEN UNIVERSITY WORLDWIDE
  • Publisher Imprint: Open University Worldwide
  • ISBN-10: 0749252863
  • Publisher Date: 11 Apr 2009
  • Binding: Paperback


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