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ADVANCED MATHEMATICS AA

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I.

Identify patterns, develop general formulas and justify mathematical conclusions through proof.

III.

Explore complex numbers and represent them in algebraic and geometric forms.

V.

Interpret data, calculate probabilities and explore uncertainty using statistical methods.

VII.

Explore exponential and logarithmic relationships, integration, areas and accumulated change.

IX.

Use vectors to represent positions, directions, lines and relationships in three-dimensional space.

XI.

Use probability distributions to compare outcomes and make evidence-based decisions.

II.

Use functions, graphs and transformations to describe relationships between variables.

IV.

Use derivatives to analyse change, gradients, graphs and optimisation problems.

VI.

Investigate shapes, angles, distances and spatial relationships using geometry and trigonometry.

VIII.

Apply advanced calculus techniques to model motion, rates and changing quantities.

X.

Convert complex numbers between Cartesian, polar and exponential forms.

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