Year 12
Mathematics Advanced Syllabus
∞ Functions
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Polynomial, exponential, logarithmic, and trigonometric functions
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Domain, range, and inverse functions
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Graph transformations and sketching
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Modelling with functions
📊 Statistical Analysis
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Bivariate data analysis
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Least-squares regression
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Interpolation and extrapolation
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Evaluating statistical models
∫ Calculus
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Limits and continuity
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Differentiation: rules and applications (e.g. tangents, rates of change, optimization)
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Integration: basic techniques and applications (e.g. area under curves, displacement)
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Fundamental Theorem of Calculus
🎲 Probability
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Conditional probability and independence
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Theoretical and experimental probability
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Applications in real-world contexts
📐 Trigonometry
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Radian measure and unit circle
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Trigonometric identities and equations
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Graphs of sine, cosine, and tangent functions
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Applications in real-world and geometric contexts
