EMTH271-20S2 (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

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 2020

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Wednesday 10:00 - 11:00 A2 Lecture Theatre
13 Jul - 23 Aug
7 Sep - 18 Oct
Lecture B
Activity Day Time Location Weeks
01 Tuesday 11:00 - 12:00 C3 Lecture Theatre
13 Jul - 23 Aug
7 Sep - 18 Oct
Lecture C
Activity Day Time Location Weeks
01 Monday 12:00 - 13:00 C2 Lecture Theatre
13 Jul - 23 Aug
7 Sep - 18 Oct
Computer Lab A
Activity Day Time Location Weeks
01 Thursday 14:00 - 16:00 Ernest Rutherford 212 Computer Lab 13 Jul - 23 Aug
7 Sep - 18 Oct
02 Friday 15:00 - 17:00 Jack Erskine 248 Computer Lab 13 Jul - 23 Aug
7 Sep - 18 Oct
05 Thursday 09:00 - 11:00 Jack Erskine 248 Computer Lab 13 Jul - 23 Aug
7 Sep - 18 Oct
07 Friday 08:00 - 10:00 Jack Erskine 001 Computer Lab 13 Jul - 23 Aug
7 Sep - 18 Oct

Examination and Formal Tests

Test A
Activity Day Time Location Weeks
01 Wednesday 19:00 - 20:30 Jack Erskine 033 Lab 1 21 Sep - 27 Sep
02 Wednesday 19:00 - 20:30 Jack Erskine 038 Lab 4 21 Sep - 27 Sep
03 Wednesday 19:00 - 20:30 Jack Erskine 035 Lab 2 21 Sep - 27 Sep
04 Thursday 19:00 - 20:30 Jack Erskine 033 Lab 1 21 Sep - 27 Sep
05 Thursday 19:00 - 20:30 Jack Erskine 038 Lab 4 21 Sep - 27 Sep
06 Thursday 19:00 - 20:30 Jack Erskine 035 Lab 2 21 Sep - 27 Sep
07 Friday 19:00 - 20:30 Jack Erskine 033 Lab 1 21 Sep - 27 Sep
08 Friday 19:00 - 20:30 Jack Erskine 038 Lab 4 21 Sep - 27 Sep
09 Friday 19:00 - 20:30 Jack Erskine 035 Lab 2 21 Sep - 27 Sep

Course Coordinator

James Williams

Course Administrator

Michael Langton

Lecturer

James Williams

Assessment

Assessment Due Date Percentage 
Labs 10%
Assignments (x2) 30%
Test 20%
Exam 40%

Textbooks / Resources

Recommended Reading

Chapman; MATLAB programming for engineers; (3rd edition or later); Brookes–Cole.

Chapra and Canale; Numerical Methods for Engineers; (4th edition or later); McGraw–Hill.

Indicative Fees

Domestic fee $975.00

International fee $5,500.00

* 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 EMTH271 Occurrences

  • EMTH271-20S2 (C) Semester Two 2020