# Mathematics (T)

## Mathematics Faculty

Mathematics involves observing, representing and investigating patterns and relationships in social and physical phenomena and between mathematical objects themselves.

*Mathematics is the science of patterns.The mathematician seeks patterns in number, in space, in science, in computers, and in imagination.Mathematical theories explain the relation between patterns…*

*Applications of mathematics use these patterns to explain and predict natural phenomena.' *

(National Statement on Mathematics for Australian Schools 1991 p4)

Many students study mathematics not because they want to be a mathematician, but because they realise the benefit that mathematics can have on a broader education.

Tertiary mathematical courses often assume some mathematical knowledge or explicitly require mathematical prerequisites for study in most tertiary degrees. These can include but are not limited to Commerce (MM at ANU, MA at UC), Economics (MM at ANU, MA at UC), Computer Science (SM and ANU), Engineering (SM at ANU), Finance (MM at ANU), Information Technology (MM at ANU and UC), Actuarial Studies (SM double major at ANU) and Business Informatics (MA at UC). (MM=Mathematical Methods, SM=Specialist Mathematics, MA=Mathematical Applications)

Importantly, employers are recognising the benefit that students with mathematical studies can bring to their business. Skills such as analytical thinking, structured and unstructured problem solving and ability to apply rules, formulae and ordered processes to contextual situations are becoming wildly sought after and respected experiences.

Our tertiary courses can prepare students for life in the workforce and tertiary studies.

## There are three Tertiary Mathematics Courses

- Mathematical Applications
- Mathematical Methods
- Specialist Mathematics

## Mathematical Applications

This T course is designed as a suitable preparation for general tertiary entry or for students intending tertiary study in areas where mathematical content is not emphasised.

There are 4 units in the Mathematical Applications course that students typically study over a 2 year period.

MA1 - Matrices, Sequences and Mensuration

MA2 - Modelling, Matrices and Networks

MA3 - Financial Modelling and Trigonometry

MA4 - Statistics and Probability

## Mathematical Methods

This T course is designed for students who intend subsequent tertiary study in disciplines in which a sound and broad knowledge of mathematics is required, such as the behavioural sciences, the social sciences, applied sciences, business.

This course emphasises the acquisition and understanding of abstract mathematical concepts, relationships and techniques, incorporating practical explorations and meaningful applications. Students are provided with opportunities to analyse and solve real world problems, and to communicate their reasoning through logical arguments.

There are 4 units in the Mathematical Methods course that students typically study over a 2 year period.

MM1 Number, Patterns, Relations& Functions

MM2 Introductory & Differential Calculus

MM3 Integral Calculus & Special Functions

MM4 Probability and Statistics and Applications

## Specialist Mathematics

This T course is designed for students who intend subsequent tertiary study in quantitative disciplines requiring a strong, deep understanding of mathematics, such as mathematical studies, actuarial studies, physical sciences, engineering, computer sciences, economics. For accurate information about tertiary courses, pre-requisites

and assumed knowledge, students should consult current publications from the institutions or providers.

This course emphasises the development of a sophisticated understanding of abstract concepts and the ability to deal rigorously with extended logical arguments. Mathematical relationships and techniques are taught in ways that provide students with the opportunity to reason inductively and deductively, to make inferences and generalisations and communicate their mathematical understandings confidently.

There are 4 units in the CORE Specialist Mathematics course that students typically study over a 2 year period.

SM1 - Numbers, Patterns and Relations

SM2 - Trigonometry and Derivatives

SM3 - Integral Calculus and Special Functions

SM4 - Probability and Statistics

In addition, students may elect to study a second stream of maths leading to a major minor or double major. These elective units comprise of:

SME1 - Number Theory, Graphs and Networks

SME2 - Further Geometry and Further Matrices

SME3 - Vectors and Complex Numbers

SME4 - Further Calculus and Further Trigonometry

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## Course Outline

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