MATH270-20S2 (C) Semester Two 2020

Mathematical Modelling and Computation 2

15 points

Details:
Start Date: Monday, 13 July 2020
End Date: Sunday, 8 November 2020
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 24 July 2020
  • Without academic penalty (including no fee refund): Friday, 25 September 2020

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.

The use of mathematical modelling and computation in science. Numerical methods with strong emphasis on applications in physical and natural sciences. The course has a strong programming component done in MATLAB. Case studies with scientific applications will reinforce the theory seen in class.

Course Information:
An application-oriented course in mathematical modelling and scientific computation. Numerical methods and approximations underlie much of modern science, such as bioinformatics, fluid dynamics, climate change prediction, analysis of large data sets and creation of special effects in movies. The course will cover a range of techniques from calculus and linear algebra, together with algorithmic and programming considerations. Programming exercises will be conducted using MATLAB. The methods covered will be applied in case studies in the physical and life sciences.

Topics covered:
Mathematical modelling methods and techniques. 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-defined functions; visualisation techniques.

Learning Outcomes

  • Students will be able to:

  • Develop and critically assess mathematical models of problems in the physical and life sciences.
  • Implement numerical algorithms in MATLAB in order to solve mathematical models.
  • Use commercially available computer programs with enough theoretical knowledge to make intelligent decisions about the outputs.

Prerequisites

(MATH170 or EMTH171 or MATH280 or COSC121 or Head of School approval) and (EMTH119 or MATH103 or MATH199)

Restrictions

EMTH271, MATH271

Course Coordinator

James Williams

Course Administrator

Michael Langton

Lecturer

James Williams

Assessment

Assessment Due Date Percentage 
Labs 10%
Assignment 15%
Test 20%
Exam 55%

Indicative Fees

Domestic fee $780.00

International fee $4,250.00

* 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

  • MATH270-20S2 (C) Semester Two 2020
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