MATH270-18S2 (C) Semester Two 2018

# Mathematical Modelling and Computation 2

 15 points16 Jul 2018 - 18 Nov 2018

## 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.

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.

## Pre-requisites

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

EMTH271, MATH271

## Timetable 2018

Students must attend one activity from each section.

Activity Day Time Location Weeks Lecture A 01 Monday 14:00 - 15:00 Meremere 108 Lecture Theatre 16 Jul - 26 Aug 10 Sep - 21 Oct Lecture B 01 Tuesday 16:00 - 17:00 A2 Lecture Theatre 16 Jul - 26 Aug 10 Sep - 21 Oct Lecture C 01 Wednesday 13:00 - 14:00 C2 Lecture Theatre 16 Jul - 26 Aug 10 Sep - 21 Oct Computer Lab A 01 Friday 08:00 - 10:00 Jack Erskine 248 Computer Lab 16 Jul - 26 Aug 10 Sep - 21 Oct 02 Thursday 08:00 - 10:00 Jack Erskine 248 Computer Lab 16 Jul - 26 Aug 10 Sep - 21 Oct 04 Thursday 10:00 - 12:00 Jack Erskine 248 Computer Lab 16 Jul - 26 Aug 10 Sep - 21 Oct 05 Friday 15:00 - 17:00 Jack Erskine 248 Computer Lab 16 Jul - 26 Aug 10 Sep - 21 Oct

## Examination and Formal Tests

Activity Day Time Location Weeks Test A 01 Tuesday 18:30 - 20:00 Jack Erskine 038 Lab 4 24 Sep - 30 Sep 02 Tuesday 18:30 - 20:00 Jack Erskine 035 Lab 2 24 Sep - 30 Sep 03 Tuesday 18:30 - 20:00 Jack Erskine 033 Lab 1 24 Sep - 30 Sep 04 Wednesday 18:30 - 20:00 Jack Erskine 033 Lab 1 24 Sep - 30 Sep 05 Wednesday 18:30 - 20:00 Jack Erskine 035 Lab 2 24 Sep - 30 Sep 06 Wednesday 18:30 - 20:00 Jack Erskine 038 Lab 4 24 Sep - 30 Sep

## Indicative Fees

Domestic fee \$749.00

International fee \$3,788.00

* 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.

## All MATH270 Occurrences

• MATH270-18S2 (C) Semester Two 2018