Support · Mathematics Extension 1 11–12 – Year 12 · Further applications of calculus
Support Define and identify the order of a differential equation as the order of the highest derivative contained within the equation
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
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Prerequisite dot points
Use differentiation to find and interpret the first and second derivatives, dQ/dt and (d²Q)/(dt²), in practical problems where a quantity Q is a function of time t
Mathematics Advanced 11–12 – Year 12 · Applications of calculus Draft mapping
No checked resources on this prerequisite dot point yet.
Graph the function Q = Ae^(kt), where k > 0 and k and A > 0 and A, with and without graphing applications, and identify any asymptotes
Mathematics Advanced 11–12 – Year 12 · Applications of calculus Draft mapping
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
Use repeated differentiation to find second derivatives of a function y = f(x), denoting them by f''(x) or (d²y)/(dx²) or y''
Mathematics Advanced 11–12 – Year 12 · Applications of calculus Draft mapping
No checked resources on this prerequisite dot point yet.