BEng Aerospace Engineering

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Modern engineers are faced with the design, analysis and manufacture of highly complex physical systems which can be understood through the application of engineering science.  The description of highly complex systems can require the solution of discrete, differential or integral equations which can be achieved through the application of numerical techniques.  Many of the analysis tools used by modern engineers are founded on numerical methods and it is essential that engineers are aware of the limitation of said tools and methods.  This unit provides an introduction and the foundations underpinning a selection of some of the numerical techniques used in engineering. 

 

Matlab programming required from Tools units

To introduce students to numerical approximation techniques and further develop Matlab programming skills.

(1) Algebraic systems:
(i) Matrix systems
(ii) Linear problems
(iii)  Determinates of 3X3 matrices and greater
(iv) Eigenvalues and eigenvectors
(2) Iterative methods:                 
(i)  Interval methods
(ii) Updated input methods including Newton-Raphson
(3) Solvers for linear system of equations:
(i) Gauss-Seidel method
(ii)  Jacobi method
(4) Data fitting:
(i) Fourier Series and Transforms
(ii)  Fourier Series
(iii) Fourier Transforms
(iv) resolution and Window functions
(v) Aliasing
(5) Polynomial fitting:
(i) Lagrange interpolation method
(ii) Finite Difference techniques
(iii) Divided Difference method
(iv) Splines
(6) Numerical differentiation and integration
 

Marked Mathcad assignment; marked tutorial assessment (exam standard questions)