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Use of the package MATLAB including matrix algebra, user-defined functions, surface plotting. Numerical methods including solutions of systems of linear equations, solution of ordinary differential equations and systems of equations, approximation techniques. Modelling projects. Engineering applications using spreadsheets.
Introduction to Numerical methods with strong emphasis to applications in engineering, physical and natural sciences. The course has a strong programming component done in MATLAB. Case studies with applications relevant to each engineering or mathematics stream will reinforce the theory seen in class.Course Information:An application-oriented course in scientific computation. Numerical methods and approximations underlie much of modern science, engineering and technology, such as modelling structures, aircraft, geophysical situations, the spread of viruses, design of integrated circuits, and for image processing problems such as creating special effects for movies. The blend of theory, numerical methods, modelling and applications forms the basis for scientific computation.The emphasis will be to survey a number of different numerical techniques rather than discuss any single topic in great detail. It will involve a mix of techniques from calculus and linear algebra, together with algorithmic and programming considerations. Programming exercises will be conducted using MATLAB. The interplay between mathematics, algorithmic concepts, the coding and numerical experiments is what makes scientific computation such a fascinating subject.Topics covered:Iterative methods for nonlinear equations; numerical solution of linear and nonlinear systems; interpolation and approximation; numerical quadrature; numerical solution of ordinary differential equations; random number generation and Monte Carlo integration. MATLAB: matrix algebra; structured programming; writing M-files; user-define functions; visualisation techniques.
Students will be able to: implement numerical algorithms in MATLAB in order to solve real problems found in engineering, physical and natural sciences use commercially available computer programs with enough theoretical knowledge in order to make intelligent decisions about the outputs
This course will provide students with an opportunity to develop the Graduate Attributes specified below:
Critically competent in a core academic discipline of their award
Students know and can critically evaluate and, where applicable, apply this knowledge to topics/issues within their majoring subject.
(1) EMTH171, MATH170 or MATH171; (2) Subject to approval of the Dean of Engineering and Forestry.
Miguel Moyers Gonzalez
Domestic fee $777.00
International fee $4,375.00
* Fees include New Zealand GST and do not include any programme level discount or additional course related expenses.
For further information see
Mathematics and Statistics.