EMTH171-18S2 (C) Semester Two 2018

# Mathematical Modelling and Computation

 15 points16 Jul 2018 - 18 Nov 2018

## Description

An introduction to mathematical modelling and simulation via case studies using standard computer packages. Structured programming for mathematical problem solving.

An introductory course in mathematical modelling and computation. This course introduces the use of computational methods to solve real-world problems. The course includes case studies chosen from a range of engineering and scientific applications.

Topics: the MATLAB programming environment; basic concepts in structured programming; basic numerical methods; case studies from engineering and scientific applications, showing the process of modelling through formulation, solution and interpretation.

## Learning Outcomes

Students who pass this course will:

• Be familiar with the MATLAB programming environment.
• Be familiar with the basics of structured programming (including for loops, conditional statements, and writing functions).
• Understand the concept of a numerical method and appreciate the need for numerical methods in real-world problem solving.
• Be familiar with numerical integration, Newton’s method, and Euler’s method for differential equations and systems of coupled differential equations.
• Be able to implement these numerical methods computationally.
• Have an introductory-level understanding of the concepts and techniques involved in formulating a mathematical model of a real-world situation.
• Be able to interpret computational results in the context of a real-world problem.

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

RP: It is strongly recommended that students should have passed EMTH118 or MATH102 before taking EMTH171/MATH170. A prior or concurrent enrolment in EMTH119 or MATH103 is also recommended. If you are taking EMTH171/MATH170 concurrently with EMTH118 or MATH102, you are likely to experience difficulties and need to put in extra work.

MATH170, MATH171

## Recommended Preparation

It is strongly recommended that students should have passed EMTH118 or MATH102 before taking EMTH171/MATH170. A prior or concurrent enrolment in EMTH119 or MATH103 is also recommended. If you are taking EMTH171/MATH170 concurrently with EMTH118 or MATH102, you are likely to experience difficulties and need to put in extra work.

## Timetable 2018

Students must attend one activity from each section.

Activity Day Time Location Weeks Lecture A 01 Monday 09:00 - 10:00 C1 Lecture Theatre 16 Jul - 26 Aug 10 Sep - 21 Oct 02 Monday 17:00 - 18:00 C1 Lecture Theatre 16 Jul - 26 Aug 10 Sep - 21 Oct Lecture B 01 Tuesday 15:00 - 16:00 C1 Lecture Theatre 16 Jul - 26 Aug 10 Sep - 21 Oct 02 Tuesday 17:00 - 18:00 C1 Lecture Theatre 16 Jul - 26 Aug 10 Sep - 21 Oct Computer Lab A 03 Monday 12:00 - 14:00 Jack Erskine 033 Lab 1 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 04 Monday 12:00 - 14:00 Jack Erskine 038 Lab 4 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 05 Monday 14:00 - 16:00 Jack Erskine 033 Lab 1 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 06 Monday 14:00 - 16:00 Jack Erskine 038 Lab 4 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 08 Monday 16:00 - 18:00 Jack Erskine 038 Lab 4 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 09 Monday 16:00 - 18:00 Jack Erskine 035 Lab 2 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 10 Monday 16:00 - 18:00 Jack Erskine 035 Lab 2 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 13 Tuesday 10:00 - 12:00 Jack Erskine 033 Lab 1 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 14 Tuesday 10:00 - 12:00 Jack Erskine 038 Lab 4 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 15 Tuesday 12:00 - 14:00 Jack Erskine 033 Lab 1 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 16 Tuesday 12:00 - 14:00 Jack Erskine 038 Lab 4 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 17 Tuesday 14:00 - 16:00 Jack Erskine 033 Lab 1 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 18 Tuesday 14:00 - 16:00 Jack Erskine 038 Lab 4 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 21 Tuesday 16:00 - 18:00 Jack Erskine 035 Lab 2 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 22 Tuesday 16:00 - 18:00 Jack Erskine 035 Lab 2 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 25 Wednesday 10:00 - 12:00 Jack Erskine 033 Lab 1 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 26 Wednesday 10:00 - 12:00 Jack Erskine 038 Lab 4 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 27 Wednesday 12:00 - 14:00 Jack Erskine 033 Lab 1 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 28 Wednesday 12:00 - 14:00 Jack Erskine 038 Lab 4 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 29 Wednesday 14:00 - 16:00 Jack Erskine 033 Lab 1 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 30 Wednesday 14:00 - 16:00 Jack Erskine 038 Lab 4 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 31 Wednesday 16:00 - 18:00 Jack Erskine 033 Lab 1 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 32 Wednesday 16:00 - 18:00 Jack Erskine 038 Lab 4 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 33 Wednesday 16:00 - 18:00 Jack Erskine 035 Lab 2 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 34 Wednesday 16:00 - 18:00 Jack Erskine 035 Lab 2 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 37 Thursday 10:00 - 12:00 Jack Erskine 033 Lab 1 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 38 Thursday 10:00 - 12:00 Jack Erskine 038 Lab 4 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 39 Thursday 12:00 - 14:00 Jack Erskine 033 Lab 1 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 40 Thursday 12:00 - 14:00 Jack Erskine 038 Lab 4 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 41 Thursday 14:00 - 16:00 Jack Erskine 033 Lab 1 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 42 Thursday 14:00 - 16:00 Jack Erskine 038 Lab 4 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 43 Thursday 16:00 - 18:00 Jack Erskine 033 Lab 1 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 44 Thursday 16:00 - 18:00 Jack Erskine 038 Lab 4 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 45 Thursday 16:00 - 18:00 Jack Erskine 035 Lab 2 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 46 Thursday 16:00 - 18:00 Jack Erskine 035 Lab 2 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 49 Friday 08:00 - 10:00 Jack Erskine 035 Lab 2 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 50 Friday 08:00 - 10:00 Jack Erskine 035 Lab 2 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 51 Friday 10:00 - 12:00 Jack Erskine 035 Lab 2 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 52 Friday 10:00 - 12:00 Jack Erskine 035 Lab 2 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 53 Friday 12:00 - 14:00 Jack Erskine 035 Lab 2 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 54 Friday 12:00 - 14:00 Jack Erskine 035 Lab 2 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 55 Friday 14:00 - 16:00 Jack Erskine 033 Lab 1 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 56 Friday 14:00 - 16:00 Jack Erskine 038 Lab 4 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 57 Friday 14:00 - 16:00 Jack Erskine 035 Lab 2 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct 58 Friday 14:00 - 16:00 Jack Erskine 035 Lab 2 16 Jul - 26 Aug 10 Sep - 23 Sep 1 Oct - 14 Oct

## Examination and Formal Tests

Activity Day Time Location Weeks Test A 01 Wednesday 08:00 - 08:30 Jack Erskine 442 6 Aug - 12 Aug 02 Wednesday 08:30 - 09:00 Jack Erskine 442 6 Aug - 12 Aug 03 Wednesday 09:00 - 09:30 Jack Erskine 442 6 Aug - 12 Aug 04 Wednesday 09:30 - 10:00 Jack Erskine 442 6 Aug - 12 Aug 05 Wednesday 08:00 - 08:30 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 06 Wednesday 08:30 - 09:00 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 07 Wednesday 09:00 - 09:30 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 08 Wednesday 09:30 - 10:00 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 09 Wednesday 10:00 - 10:30 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 10 Wednesday 10:30 - 11:00 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 11 Wednesday 11:00 - 11:30 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 12 Wednesday 11:30 - 12:00 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 13 Wednesday 12:00 - 12:30 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 14 Wednesday 12:30 - 13:00 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 15 Wednesday 13:00 - 13:30 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 16 Wednesday 13:30 - 14:00 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 17 Wednesday 14:00 - 14:30 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 18 Wednesday 14:30 - 15:00 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 19 Thursday 08:00 - 08:30 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 20 Thursday 08:30 - 09:00 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 21 Thursday 09:00 - 09:30 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 22 Thursday 09:30 - 10:00 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 23 Thursday 13:00 - 13:30 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 24 Thursday 13:30 - 14:00 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 25 Thursday 10:00 - 10:30 Jack Erskine 442 6 Aug - 12 Aug 26 Thursday 10:30 - 11:00 Jack Erskine 442 6 Aug - 12 Aug 27 Thursday 11:00 - 11:30 Jack Erskine 442 6 Aug - 12 Aug 28 Thursday 11:30 - 12:00 Jack Erskine 442 6 Aug - 12 Aug 29 Thursday 12:00 - 12:30 Jack Erskine 442 6 Aug - 12 Aug 30 Thursday 12:30 - 13:00 Jack Erskine 442 6 Aug - 12 Aug 31 Thursday 13:00 - 13:30 Jack Erskine 442 6 Aug - 12 Aug 32 Thursday 13:30 - 14:00 Jack Erskine 442 6 Aug - 12 Aug 33 Thursday 14:00 - 14:30 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 34 Thursday 14:30 - 15:00 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 35 Thursday 15:00 - 15:30 Jack Erskine 035 Lab 2 6 Aug - 12 Aug 36 Thursday 15:30 - 16:00 Jack Erskine 035 Lab 2 6 Aug - 12 Aug Test B 03 Monday 12:00 - 14:00 Jack Erskine 033 Lab 1 24 Sep - 30 Sep 04 Monday 12:00 - 14:00 Jack Erskine 038 Lab 4 24 Sep - 30 Sep 05 Monday 14:00 - 16:00 Jack Erskine 033 Lab 1 24 Sep - 30 Sep 06 Monday 14:00 - 16:00 Jack Erskine 038 Lab 4 24 Sep - 30 Sep 07 Monday 16:00 - 18:00 Jack Erskine 033 Lab 1 24 Sep - 30 Sep 08 Monday 16:00 - 18:00 Jack Erskine 038 Lab 4 24 Sep - 30 Sep 09 Monday 16:00 - 18:00 Jack Erskine 035 Lab 2 24 Sep - 30 Sep 10 Monday 16:00 - 18:00 Jack Erskine 035 Lab 2 24 Sep - 30 Sep 11 Tuesday 08:00 - 10:00 Jack Erskine 033 Lab 1 24 Sep - 30 Sep 12 Tuesday 08:00 - 10:00 Jack Erskine 038 Lab 4 24 Sep - 30 Sep 13 Tuesday 10:00 - 12:00 Jack Erskine 033 Lab 1 24 Sep - 30 Sep 14 Tuesday 10:00 - 12:00 Jack Erskine 038 Lab 4 24 Sep - 30 Sep 15 Tuesday 12:00 - 14:00 Jack Erskine 033 Lab 1 24 Sep - 30 Sep 16 Tuesday 12:00 - 14:00 Jack Erskine 038 Lab 4 24 Sep - 30 Sep 17 Tuesday 14:00 - 16:00 Jack Erskine 033 Lab 1 24 Sep - 30 Sep 18 Tuesday 14:00 - 16:00 Jack Erskine 038 Lab 4 24 Sep - 30 Sep 19 Tuesday 16:00 - 18:00 Jack Erskine 033 Lab 1 24 Sep - 30 Sep 20 Tuesday 16:00 - 18:00 Jack Erskine 038 Lab 4 24 Sep - 30 Sep 21 Tuesday 16:00 - 18:00 Jack Erskine 035 Lab 2 24 Sep - 30 Sep 22 Tuesday 16:00 - 18:00 Jack Erskine 035 Lab 2 24 Sep - 30 Sep 23 Wednesday 08:00 - 10:00 Jack Erskine 033 Lab 1 24 Sep - 30 Sep 24 Wednesday 08:00 - 10:00 Jack Erskine 038 Lab 4 24 Sep - 30 Sep 25 Wednesday 10:00 - 12:00 Jack Erskine 033 Lab 1 24 Sep - 30 Sep 26 Wednesday 10:00 - 12:00 Jack Erskine 038 Lab 4 24 Sep - 30 Sep 27 Wednesday 12:00 - 14:00 Jack Erskine 033 Lab 1 24 Sep - 30 Sep 28 Wednesday 12:00 - 14:00 Jack Erskine 038 Lab 4 24 Sep - 30 Sep 29 Wednesday 14:00 - 16:00 Jack Erskine 033 Lab 1 24 Sep - 30 Sep 30 Wednesday 14:00 - 16:00 Jack Erskine 038 Lab 4 24 Sep - 30 Sep 31 Wednesday 16:00 - 18:00 Jack Erskine 033 Lab 1 24 Sep - 30 Sep 32 Wednesday 16:00 - 18:00 Jack Erskine 038 Lab 4 24 Sep - 30 Sep 33 Wednesday 16:00 - 18:00 Jack Erskine 035 Lab 2 24 Sep - 30 Sep 34 Wednesday 16:00 - 18:00 Jack Erskine 035 Lab 2 24 Sep - 30 Sep 37 Thursday 10:00 - 12:00 Jack Erskine 033 Lab 1 24 Sep - 30 Sep 38 Thursday 10:00 - 12:00 Jack Erskine 038 Lab 4 24 Sep - 30 Sep 39 Thursday 12:00 - 14:00 Jack Erskine 033 Lab 1 24 Sep - 30 Sep 40 Thursday 12:00 - 14:00 Jack Erskine 038 Lab 4 24 Sep - 30 Sep 41 Thursday 14:00 - 16:00 Jack Erskine 033 Lab 1 24 Sep - 30 Sep 42 Thursday 14:00 - 16:00 Jack Erskine 038 Lab 4 24 Sep - 30 Sep 43 Thursday 16:00 - 18:00 Jack Erskine 033 Lab 1 24 Sep - 30 Sep 44 Thursday 16:00 - 18:00 Jack Erskine 038 Lab 4 24 Sep - 30 Sep 45 Thursday 16:00 - 18:00 Jack Erskine 035 Lab 2 24 Sep - 30 Sep 46 Thursday 16:00 - 18:00 Jack Erskine 035 Lab 2 24 Sep - 30 Sep 47 Friday 08:00 - 10:00 Jack Erskine 033 Lab 1 24 Sep - 30 Sep 49 Friday 08:00 - 10:00 Jack Erskine 035 Lab 2 24 Sep - 30 Sep 50 Friday 08:00 - 10:00 Jack Erskine 035 Lab 2 24 Sep - 30 Sep 51 Friday 10:00 - 12:00 Jack Erskine 035 Lab 2 24 Sep - 30 Sep 52 Friday 10:00 - 12:00 Jack Erskine 035 Lab 2 24 Sep - 30 Sep 53 Friday 12:00 - 14:00 Jack Erskine 035 Lab 2 24 Sep - 30 Sep 54 Friday 12:00 - 14:00 Jack Erskine 035 Lab 2 24 Sep - 30 Sep 55 Friday 14:00 - 16:00 Jack Erskine 033 Lab 1 24 Sep - 30 Sep 56 Friday 14:00 - 16:00 Jack Erskine 038 Lab 4 24 Sep - 30 Sep 57 Friday 14:00 - 16:00 Jack Erskine 035 Lab 2 24 Sep - 30 Sep 58 Friday 14:00 - 16:00 Jack Erskine 035 Lab 2 24 Sep - 30 Sep