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SAC 1 — Functions & Graphs Bundle
All 7 topic sets · Topics 1.1 to 1.7 · 14 PDFs total
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SAC 2 — Calculus Bundle
All 5 topic sets · Topics 2.1 to 2.5 · 10 PDFs total
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- Notes on solving and sketching linear equations
- Simultaneous equations and applications
- Tech-free past exam questions
- Tech-active past exam questions
- Sketching key function families
- Domain, range, intercepts and asymptotes
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- Laws of logarithms and exponential rules
- Solving exponential and logarithmic equations
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- Unit circle, exact values and identities
- Sketching sin, cos and tan with transformations
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- Inverse functions, restricted domains
- Graphing inverses and checking compositions
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- Composing functions and finding domains
- Existence conditions and range analysis
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- Dilations, reflections and translations
- Matrix and sequence-of-transformation methods
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- Chain rule, product rule, quotient rule
- Derivatives of trig, exp and log functions
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- Finding and classifying stationary points
- Optimisation and rate of change problems
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- Continuity and differentiability conditions
- Piecewise functions and limits
- Newton's method (iterative root approximation)
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- Antidifferentiation and fundamental theorem
- Definite integrals and signed area
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- Area between curves and total area
- Trapezium rule and approximation methods
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SAC 3
Probability & Statistics
- Probability distributions and expected value
- Variance and standard deviation of DRVs
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- Binomial probability and parameters
- Mean, variance and cumulative probabilities
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- Probability density functions and area
- Median, mean and variance from PDFs
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- Standard normal and z-scores
- Inverse normal and symmetry properties
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- Sample proportion distribution
- Confidence intervals and margin of error
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- Mixed probability and statistics questions
- Covers all AOS 3 subtopics
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