MATH270-12S2 (C) Semester Two 2012

Mathematical Modelling and Computation 2

15 points

Details:
Start Date: Monday, 9 July 2012
End Date: Sunday, 11 November 2012
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 22 July 2012
  • Without academic penalty (including no fee refund): Sunday, 7 October 2012

Description

Numerical methods and stochastics: solving nonlinear equations; solving systems of linear equations; interpolation; initial value and boundary value problems for ordinary differential equations; Monte Carlo simulation and applications. Programming and problem solving using MATLAB and the application of these ideas.

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 as well as 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.

This course is an application-oriented course in scientific computation. It provides an introduction to numerical methods with a strong emphasis on applications in engineering, physical and natural sciences. It has a strong programming component using MATLAB. Case studies with applications relevant to each engineering or mathematics stream will reinforce the theory seen in class. 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.  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.

Learning Outcomes

  • By the end of the course, 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

Prerequisites

(MATH170 or MATH171 or EMTH171 or MATH280 or MATH282) and (EMTH119 or MATH103 or MATH109 or MATH199)

Restrictions

EMTH271, MATH271

Course Coordinator / Lecturer

Miguel Moyers Gonzalez

Lecturer

David Wall

Assessment

Assessment Due Date Percentage 
Internal Assessment - TBA 40%
Final Examination 60%

Course links

EMTH271 Homepage

Indicative Fees

Domestic fee $622.00

International fee $3,200.00

* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.

For further information see Mathematics and Statistics .

All MATH270 Occurrences

  • MATH270-12S2 (C) Semester Two 2012
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