Available in 2020
Course code

MATH1800

Units

10 units

Level

1000 level

## Course handbook

### Description

Mathematical modelling is key to bridging the gap between mathematics and solving real-world problems. Whether used to simulate the spread of an infectious disease or predict the trajectory of a falling satellite, mathematical modelling permeates disciplines across academia and industry. This course provides an overview of essential mathematical modelling techniques and their application to real-world problems, providing an introduction to the entire modelling process: model construction, analysis and research. Surveying general techniques, the course will also focus on a number of illustrative case studies covering topics across the spheres of the natural world and human endeavour, from environmental issues, to biology, ecology, medicine, nanotechnology, forensic sciences, engineering, business and commerce.

### Availability2020 Course Timetables

#### Callaghan

• Semester 2 - 2020

### Learning outcomes

On successful completion of the course students will be able to:

1. Outline how mathematics can improve our understanding of the natural world and the world of human endeavour.

2. Apply mathematical strategies and techniques to solve real-world problems.

3. Demonstrate improved quantitative and analytical skills in solving real life problem by combining multiple pieces of evidence to effectively construct, solve and analyse basic mathematical model as compared with those skills at the prerequisite level.

4. Use mathematical and scientific terminology to justify reasoning.

5. Develop and use computer software for mathematical modelling.

6. Work in a group to gather, compare and summarise information from a range of sources and disciplines.

### Content

1. Standard model techniques to solve particular real life problems: models based on difference and/or differential equations and their systems; models based on proportionality, geometric similarity.
2. Analysis of the relationships between model formulation and solution and its stability.

### Assumed knowledge

The course has assumed knowledge of Advanced Mathematics in the HSC Band 5 or higher. Students with a result of Band 4 or less in 2unit Mathematics in the HSC should complete MATH1002 and MATH1110 before attempting MATH1800.

### Assessment items

Tutorial / Laboratory Exercises: Laboratory Workshop Exercises

Formal Examination: Examination

In Term Test: Mid Term Test

Quiz: Online quiz

Written Assignment: Assignments

### Contact hours

#### Callaghan

##### Computer Lab

Face to Face On Campus 2 hour(s) per Week for 11 Weeks

Workshops are incorporated in the computer lab.

##### Lecture

Face to Face On Campus 2 hour(s) per Week for Full Term