EMTH271-12S2 (C) Semester Two 2012

Mathematical Modelling and Computation 2

15 points, 0.1250 EFTS
09 Jul 2012 - 11 Nov 2012

Description

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.

Learning Outcomes

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

Pre-requisites

(1) EMTH171, MATH170 or MATH171; (2) Subject to approval of the Dean of Engineering and Forestry.

Restrictions

MATH270, MATH271

Lectures
Streams Day Time Where Notes
Stream 01 Monday , Tuesday , Wednesday 12:00pm-1:00pm C1 Lecture Theatre 3 Sep - 23 Sep,
1 Oct - 14 Oct
Monday 12:00pm-1:00pm E7 Lecture Theatre 13 Aug - 19 Aug,
24 Sep - 30 Sep
Tuesday , Wednesday 12:00pm-1:00pm E14 Lecture Theatre 13 Aug - 19 Aug,
24 Sep - 30 Sep

Labs
Streams Day Time Where Notes
Stream 01 Thursday 8:00am-10:00am Erskine 001 Crypt 1 (Computer Lab) 9 Jul - 19 Aug,
3 Sep - 14 Oct
Stream 02 Thursday 10:00am-12:00pm Erskine 001 Crypt 1 (Computer Lab) 9 Jul - 19 Aug,
3 Sep - 14 Oct
Stream 03 Thursday 2:00pm-4:00pm Erskine 248 Computer Lab (Computer Lab) 9 Jul - 19 Aug,
3 Sep - 14 Oct
Stream 04 Thursday 4:00pm-6:00pm Erskine 248 Computer Lab (Computer Lab) 9 Jul - 19 Aug,
3 Sep - 14 Oct
Stream 05 Friday 8:00am-10:00am Erskine 248 Computer Lab (Computer Lab) 9 Jul - 19 Aug,
3 Sep - 14 Oct

Course Coordinator / Lecturer

Miguel Moyers Gonzalez

Lecturer

David Wall

Assessment

Assessment Due Date Percentage 
Internal Assessment - TBA 50%
Final Examination 50%

Examination and Formal Tests

Exam Tuesday 23 Oct 2012 2:30pm-4:30pm  
Test Monday 13 Aug 2012 4:00pm-5:00pm Erskine 035 Lab 2
Test Monday 13 Aug 2012 5:00pm-6:00pm Erskine 035 Lab 2
Test Tuesday 14 Aug 2012 4:00pm-5:00pm Erskine 035 Lab 2
Test Tuesday 14 Aug 2012 5:00pm-6:00pm Erskine 035 Lab 2
Test Wednesday 15 Aug 2012 5:00pm-6:00pm Erskine 035 Lab 2
Test Monday 08 Oct 2012 4:00pm-5:00pm Erskine 035 Lab 2
Test Monday 08 Oct 2012 5:00pm-6:00pm Erskine 035 Lab 2
Test Tuesday 09 Oct 2012 4:00pm-5:00pm Erskine 035 Lab 2
Test Tuesday 09 Oct 2012 5:00pm-6:00pm Erskine 035 Lab 2
Test Wednesday 10 Oct 2012 4:00pm-5:00pm Erskine 035 Lab 2
Test Wednesday 10 Oct 2012 5:00pm-6:00pm Erskine 035 Lab 2

Course links

EMTH271 homepage

Fees

Domestic fee $777.00

International fee $4,375.00

For further information see Mathematics and Statistics.

All EMTH271 Occurrences

  • EMTH271-12S2 (C) Semester Two 2012