Support · Mathematics Extension 1 11–12 – Year 12 · Further applications of calculus
Support Graph solutions of first order differential equations using graphing applications and examine the behaviour of solutions for different values of the constant of integration and initial conditions
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
Determine f(x), given f'(x) and an initial condition f(a) = b where a and b are constants
Mathematics Advanced 11–12 – Year 12 · Integral 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 integration to solve practical problems on the rate of change of a quantity Q, where dQ/dt or (d²Q)/(dt²) is given as a function of time t, together with sufficient initial conditions
Mathematics Advanced 11–12 – Year 12 · Applications of calculus Draft mapping
No checked resources on this prerequisite dot point yet.