Mathematics Applications (Units 3 & 4) - ATAR

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Course Code:
ATMAA
Pathway:
University Pathway
Pre-requisites:
Grade C or better in Mathematics Applications (Units 1 & 2)
Course Description:
The Year 12 syllabus is divided into two units which are delivered as a pair.
 
Unit 3
Contains the three topics:
  • Bivariate data analysis
  • Growth and decay in sequences
  • Graphs and networks
 
‘Bivariate data analysis’ introduces students to some methods for identifying, analysing and describing associations between pairs of variables, including using the least-squares method as a tool for modelling and analysing linear associations. The content is to be taught within the framework of the statistical investigation process. 
‘Growth and decay in sequences’ employs recursion to generate sequences that can be used to model and investigate patterns of growth and decay in discrete situations. These sequences find application in a wide range of practical situations, including modelling the growth of a compound interest investment, the growth of a bacterial population, or the decrease in the value of a car over time. Sequences are also essential to understanding the patterns of growth and decay in loans and investments that are studied in detail in Unit 4.
 
‘Graphs and networks’ introduces students to the language of graphs and the way in which graphs, represented as a collection of points and interconnecting lines, can be used to analyse everyday situations, such as a rail or social network.
 
Unit 4
Contains the three topics:
  • Time series analysis
  • Loans, investments and annuities
  • Networks and decision mathematics
 
‘Time series analysis’ continues students’ study of statistics by introducing them to the concepts and techniques of time series analysis. The content is to be taught within the   framework of the statistical investigation process. ‘Loans, investments and annuities’ aims to provide students with sufficient knowledge of financial mathematics to solve practical problems associated with taking out or refinancing a mortgage and making investments. ‘Networks and decision mathematics’ uses networks to model and aid decision making in practical situations.
Course Assessment:
Response - 40%
Investigation - 20%
Examination - 40%
Additional Information:
This option leads to general tertiary entry. However, it does not provide adequate preparation for tertiary courses such as biological, social or management sciences in which   knowledge of elementary integral calculus and statistical inference would be useful.