MATH270-21S2 (C) Semester Two 2021

Mathematical Modelling and Computation 2

15 points

Details:
Start Date: Monday, 19 July 2021
End Date: Sunday, 14 November 2021
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 1 August 2021
  • Without academic penalty (including no fee refund): Friday, 1 October 2021

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.

Pre-requisites

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

Restrictions

EMTH271, MATH271

Timetable 2021

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Tuesday 13:00 - 14:00 C2 Lecture Theatre 19 Jul - 29 Aug
13 Sep - 24 Oct
Lecture B
Activity Day Time Location Weeks
01 Wednesday 13:00 - 14:00 C3 Lecture Theatre 19 Jul - 29 Aug
13 Sep - 24 Oct
Lecture C
Activity Day Time Location Weeks
01 Thursday 13:00 - 14:00 A2 Lecture Theatre 19 Jul - 29 Aug
13 Sep - 24 Oct
Computer Lab A
Activity Day Time Location Weeks
01 Wednesday 16:00 - 18:00 Jack Erskine 248 Computer Lab 19 Jul - 29 Aug
13 Sep - 24 Oct
02 Friday 10:00 - 12:00 Ernest Rutherford 212 Computer Lab 19 Jul - 29 Aug
13 Sep - 24 Oct
03 Friday 12:00 - 14:00 Ernest Rutherford 212 Computer Lab 19 Jul - 29 Aug
13 Sep - 24 Oct
04 Thursday 08:00 - 10:00 James Logie 214-Language Lab 19 Jul - 29 Aug
13 Sep - 24 Oct
05 Friday 13:00 - 15:00 James Logie 214-Language Lab 19 Jul - 29 Aug
13 Sep - 24 Oct
06 Thursday 10:00 - 12:00 James Logie 214-Language Lab 19 Jul - 29 Aug
13 Sep - 24 Oct

Course Coordinator / Lecturer

Richard Penny

Course Administrator

Michael Langton

Lecturers

Gabor Erdelyi , Michael Langton and James Williams

Indicative Fees

Domestic fee $788.00

International fee $4,438.00

* 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

  • MATH270-21S2 (C) Semester Two 2021