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NSW Syllabuses

Mathematics Extension 2 Stage 6 - Year 12 Extension 2 - Calculus Topic: Calculus

Outcomes

A student:

  • MEX12-1

    understands and uses different representations of numbers and functions to model, prove results and find solutions to problems in a variety of contexts

  • MEX12-5

    applies techniques of integration to structured and unstructured problems

  • MEX12-7

    applies various mathematical techniques and concepts to model and solve structured, unstructured and multi-step problems

  • MEX12-8

    communicates and justifies abstract ideas and relationships using appropriate language, notation and logical argument

Topic Focus

Calculus involves the study of how things change and provides a framework for developing quantitative models of change and deducing their consequences. This topic involves the development of a broader range of techniques and strategies to solve more complex problems involving differential equations and integration.

Knowledge of calculus enables an understanding of the relationship between differentiation and integration techniques and the application of these techniques in solving problems from purely mathematical through to practical contexts.

Study of calculus is important in developing students’ knowledge, understanding and capacity to operate with and model change situations involving a variety of functions, use algebraic and graphical techniques to describe and solve problems and predict future outcomes.

Subtopics

MEX-C1: Advanced Calculus Skills