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Yr 12 Advanced Mathematics
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Transformations of functions
Vertical translations of functions
Horizontal translations of functions
Vertical dilations of functions
Horizontal dilations of functions
Combinations of transformations
Graphs of functions with combined transformations
Worked solutions
Trigonometric Functions
Transformations of trigonometric functions
Combined transformations of trigonometric functions
Trigonometric equations
Worked solutions
Further differentiation
Differentiation review
Derivative of exponential functions
Derivative of logarithmic functions
Derivative of trigonometric functions
Second derivatives
Anti-derivative graphs
Anti-derivatives
Further anti-derivatives
Worked solutions
Geometrical applications of differentiation
Increasing and decreasing curves
Stationary points
Concavity and points of inflection
Interpreting rates of change graphically
Stationary points and the second derivative
Curve sketching
Global maxima and minima
Finding formulas for optimisation problems
Optimisation problems
Worked solutions
Integration
Approximating areas under a curve
Trapezoidal rule
Definite integrals
Indefinite integrals
Chain rule
Integration involving exponential functions
Integration involving logarithmic functions
Integration involving trigonometric functions
Areas enclosed by the x-axis
Areas enclosed by the y-axis
Sums and differences of areas
Worked solutions
Statistics
Worked solutions
Correlation and Regression
Continuous probability distributions
Probability density functions
Calculating probabilities
Cumulative distribution functions
Quantiles
Normal distribution
Empirical rule
z-scores
Applications of the normal distribution
Worked solutions
Sequences and series
General sequences and series
Arithmetic sequences
Arithmetic series
Geometric sequences
Geometric series
Limiting sum of an infinite geometric series
Worked solutions
Investment, annuities, loans
Worked solutions
Worked solutions
Yr 11 Worked solutions
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Yr 12 Advanced Mathematics
Integration involving exponential functions
Integration involving exponential functions
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