Calculus: The Study of Change · Calculus and Analysis
Optimisation and Modeling
Applying calculus techniques to find maximum and minimum values in practical engineering and economic scenarios.
Key Questions
- 1How do stationary points help us determine the most efficient design for a physical object?
- 2What is the significance of the second derivative in determining the nature of an optimal solution?
- 3How do constraints on a domain change our approach to finding absolute extrema?
ACARA Content Descriptions
AC9MFM05
Year: Year 12
Subject: Mathematics
Unit: Calculus: The Study of Change
Period: Calculus and Analysis
Suggested Methodologies
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Developing the Fundamental Theorem of Calculus to find areas under curves and understand accumulation functions.
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