EMTH271-21S2 (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

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 and engineering applications.

The use of mathematical modelling and computation in engineering. Numerical methods with strong emphasis on applications in engineering. The course has a strong programming component done in MATLAB. Case studies with applications relevant to each engineering discipline 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 engineering and technology, such as modelling structures, aircraft, geophysical situations, design of integrated circuits, and image processing. 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 specific to students’ chosen engineering programme.

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 engineering problems.
  • 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

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

Restrictions

MATH270, MATH271

Timetable 2021

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Monday 17:00 - 18:00 C3 Lecture Theatre
19 Jul - 29 Aug
13 Sep - 24 Oct
Lecture B
Activity Day Time Location Weeks
01 Tuesday 13:00 - 14:00 C2 Lecture Theatre
19 Jul - 29 Aug
13 Sep - 24 Oct
Lecture C
Activity Day Time Location Weeks
01 Wednesday 13:00 - 14:00 C3 Lecture Theatre
19 Jul - 29 Aug
13 Sep - 24 Oct
Computer Lab A
Activity Day Time Location Weeks
01 Thursday 08:00 - 10:00 Rehua 008 Computer Lab
19 Jul - 29 Aug
13 Sep - 24 Oct
02 Thursday 12:00 - 14:00 Jack Erskine 248 Computer Lab
19 Jul - 29 Aug
13 Sep - 24 Oct
03 Thursday 16:00 - 18:00 Eng Core 216 CAD Lab
19 Jul - 29 Aug
13 Sep - 24 Oct
04 Friday 11:00 - 13:00 Ernest Rutherford 212 Computer Lab
19 Jul - 29 Aug
13 Sep - 24 Oct
05 Friday 13:00 - 15:00 Ernest Rutherford 212 Computer Lab
19 Jul - 29 Aug
13 Sep - 24 Oct
Tutorial A
Activity Day Time Location Weeks
01 Wednesday 19:00 - 20:00 A2 Lecture Theatre
9 Aug - 15 Aug

Examination and Formal Tests

Test A
Activity Day Time Location Weeks
01 Wednesday 19:00 - 20:30 Jack Erskine 033 Lab 1
27 Sep - 3 Oct
02 Wednesday 19:00 - 20:30 Jack Erskine 035 Lab 2
27 Sep - 3 Oct
03 Wednesday 19:00 - 20:30 Jack Erskine 038 Lab 4
27 Sep - 3 Oct
04 Thursday 19:00 - 20:30 Jack Erskine 033 Lab 1
27 Sep - 3 Oct
05 Thursday 19:00 - 20:30 Jack Erskine 035 Lab 2
27 Sep - 3 Oct
06 Thursday 19:00 - 20:30 Jack Erskine 038 Lab 4
27 Sep - 3 Oct
07 Friday 19:00 - 20:30 Jack Erskine 033 Lab 1
27 Sep - 3 Oct
08 Friday 19:00 - 20:30 Jack Erskine 035 Lab 2
27 Sep - 3 Oct
09 Friday 19:00 - 20:30 Jack Erskine 038 Lab 4
27 Sep - 3 Oct
10 Tuesday 19:00 - 20:30 Jack Erskine 033 Lab 1
27 Sep - 3 Oct
11 Tuesday 19:00 - 20:30 Jack Erskine 035 Lab 2
27 Sep - 3 Oct
12 Tuesday 19:00 - 20:30 Jack Erskine 038 Lab 4
27 Sep - 3 Oct
13 Thursday 19:00 - 20:30 Jack Erskine 436 Computer Lab
27 Sep - 3 Oct
14 Friday 19:00 - 20:30 Jack Erskine 436 Computer Lab
27 Sep - 3 Oct

Course Coordinator

James Williams

Course Administrator

Michael Langton

Lecturers

Michael Langton and James Williams

Indicative Fees

Domestic fee $986.00

International fee $5,500.00

* 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 EMTH271 Occurrences

  • EMTH271-21S2 (C) Semester Two 2021