Unit 2
Mathematical Methods (Queensland)
Topic 1: Exponential functions
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Index Law 1 – multiplication of indices
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Index Law 2 – dividing indices
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Index Law 3 – raising to the power of zero
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Index Law 4 – Raising a power to another power
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Index Law 5 – worked examples using the fifth index law
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Index Law 6 – expanding brackets around a fraction raised to a power
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Index law 7 Negative Indices – converting Negative indices into positive indices using fractions
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Index Laws Fractional indices
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Index Laws Negative bases
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Index Laws simplifying by decomposing
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Scientific notation Converting to scientific notation
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Scientific Notation Convert scientific notation to decimal
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Scientific notation Multiplying and dividing
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Exponential Functions Basic shape and Translations
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Exponential Functions Dilations
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Exponential functions 2 Sketching
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Exponential functions sketching part 2
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Exponential functions 3 Finding equation from a sketch
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Exponential Model and Applications
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Solving Indicial equations
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Harder Indicial Equations
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Indicial equations super hard quadratic action
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Indicial equations The hardest one
Topic 2: Logarithms and logarithmic functions
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Log laws as fast as possible
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Logs 1 Intro to Logarithms
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Logs 2 Log Law 1
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Logs 3 Log Law 2
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Logs 4 Log Law 3
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Logs 5 Log Law 4
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Logs 6 Log Law 5
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Logs 7 Log Law 6
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Logs 8 solving exponentials
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Logs 9 Solving logarithmic equations
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Solving Indicial equations using logarithms
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Solving Log equations examples
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Solving logarithmic equations with an unknown power
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Solving logarithmic equations with an unknown base
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Logs 10 Solving logarithmic equations part 2
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Logarithms 12 Simplifying Log equations
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Logarithmic functions Basic shape
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Logarithmic functions Sketching
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Sketching Log Functions & why they look the way they do
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Finding equations of log functions
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Logarithmic functions 3 Find equation from a sketch
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Logarithmic Functions 4 Regression analysis
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Exponential and logarithmic modelling
Topic 3: Introduction to differential calculus
Topic 4: Applications of differential calculus
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Intro to instantaneous rates of change
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Average vs instantaneous rates of change
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Finding the instantaneous rate of change
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Finding the equation of a tangent
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Finding the equation of a normal
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Equations of tangents and normals revisited
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Finding Stationary points
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Nature of Stationary points
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Finding the nature of turning points
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Interpreting displacement time graphs
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Interpreting velocity time graphs
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Differentiation and displacement velocity and acceleration
