# MATH 3006 Mathematical Modelling

Credit Points 10

Legacy Code 200022

Coordinator Stephen Weissenhofer Opens in new window

Description Mathematical Modelling is about solving real world problems. The real world is a complicated place which we often need or want to understand better. One way to do this is to set up a mathematical model which we hope can provide insights, predictions and a greater understanding of a complex system. Selected real-world problems are approximated by mathematical models that are amenable to being written in terms of linear and non-linear equations or differential equations. Once equations are solved emphasis is placed on interpreting solutions, modifying models as required and using models for prediction.

School Computer, Data & Math Sciences

Discipline Mathematics

Student Contribution Band HECS Band 1 10cp

Check your fees via the Fees page.

Level Undergraduate Level 3 subject

Pre-requisite(s) MATH 2003

Assumed Knowledge

Matrix algebra and how to find eigenvalues and eigenvectors.

## Learning Outcomes

On successful completion of this subject, students should be able to:
1. formulate equations (both differential and non-differential) which describe selected common physical situations,
2. solve such equations analytically, where appropriate
3. apply computer packages to solve such equations
4. interpret the effects of altering parameters involved in a modelling situation
5. identify limitations of mathematical models proposed
6. evaluate the effectiveness of a model.

## Subject Content

1. The modelling process
2. Modelling using proportionality and geometric similarity
3. Modelling discrete dynamical systems:
- modelling change with difference equations
- approximating change with difference equations
- solving difference equations
4. Modelling continuous dynamical systems:
- first and second order ordinary differential equations
- higher order linear ordinary differential equations
- systems of ordinary differential equations - nonlinear ordinary differential equations
5. Applications will be drawn from areas of biology, chemistry, physics, social sciences and economics.

## Assessment

The following table summarises the standard assessment tasks for this subject. Please note this is a guide only. Assessment tasks are regularly updated, where there is a difference your Learning Guide takes precedence.

Type Length Percent Threshold Individual/Group Task Mandatory
Intra-session Exam 50 minutes 20 N Individual N
Intra-session Exam 50 minutes 20 N Individual N
Final Exam 3 hours 60 N Individual N

Prescribed Texts

• Giordano, F. R., Fox, W. P., & Horton, S. (2014). A first course in mathematical modeling (5th ed.). Boston, MA Brooks/Cole Thomson Learning.

Teaching Periods

## Spring (2024)

### Campbelltown

#### On-site

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### Penrith (Kingswood)

#### On-site

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### Parramatta - Victoria Rd

#### On-site

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