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Mathematical Methods
Prerequisite: Successful completion of Year 10A Mathematics with grades of B+ or higher.
Unit 1 and 2
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Specialist Mathematics Units 1 and 2 provide a course of study for students who wish to undertake an in-depth study of mathematics, with an emphasis on concepts, skills and processes related to mathematical structure, modelling, problem-solving, reasoning and proof. This study has a focus on interest in the discipline of mathematics and investigation of a broad range of applications, as well as development of a sound background for further studies in mathematics and mathematics related fields.
At the end of Unit 1 students are expected to have covered the material in the areas of study: ‘Algebra, number and structure’ and ‘Discrete mathematics’ . Concepts from these areas of study will be further developed and used in Unit 2 and also in Units 3 and 4. At the end of Unit 2 students are expected to have covered the material in the areas of studies: ‘Data analysis, probability and statistics’ , ‘Space and measurement’ , ‘Algebra, number and structure’ and ‘Functions, relations and graphs’ .
Units 3 and 4
Specialist Mathematics Units 3 and 4 consist of the areas of study: ‘Algebra, number and structure’ , ‘Calculus’ , ‘Data analysis, probability and statistics’ , ‘Discrete mathematics’ , ‘Functions, relations and graphs’ , and ‘Space and measurement’ . The development of course content should highlight mathematical structure, reasoning and proof and applications across a range of modelling contexts with an appropriate selection of content for each of Unit 3 and Unit 4.
At the end of Unit 3 a selection of content would typically include content from the ‘Discrete mathematics’ , ‘Functions, relations and graphs’ , ‘Algebra, number and structure’ , ‘Space and measurement’ and ‘Calculus’ areas of study.
At the end of Unit 4 the corresponding selection of content would typically consist of the remaining content from the ‘Discrete mathematics’ , ‘Calculus’ , and ‘Space and measurement’ areas of study and the content from the ‘Data analysis, probability and statistics’ area of study.
Where might this course lead?
This course is recommended for those students interested in studying tertiary courses in science, medicine and engineering and also provides a sound mathematical basis for entry into any studies requiring a high level of mathematical competence.
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