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Teachers at Study Pug make difficult maths questions easy! Their explanations of confusing concepts are clean and simple. Some of their tips for exams...read more

Emma Duncan

Year 12 maths students, Sydney, Australia

Maths Methods Topics

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Solving Linear Equations

Solving linear equations using multiplication and division

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Solving two-step linear equations: <i>ax + b = c</i>, <i>x/a + b = c</i>

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Introduction to Relations and Functions
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Functions

Function notation

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Adding functions

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Subtracting functions

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Multiplying functions

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Dividing functions

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Composite functions

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Inverse functions

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One to one functions

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Conics

Conics - Parabola

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Conics - Ellipse

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Conics - Circle

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Conics - Hyperbola

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Sine Rule and Cosine Rule

Sine rule

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Cosine rule

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Graphing Trigonometric Functions
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Applications of Trigonometric Functions
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Trigonometric Identities
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Permutations and Combinations

Factorial notation

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Path counting problems

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Permutations

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Combinations

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Pascal's triangle

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Binomial theorem

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Probability
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Applications of Exponential Functions
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Applications of Logarithmic Functions
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Sequences and Series

Arithmetic sequences

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Arithmetic series

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Geometric sequences

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Geometric series

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Sigma notation

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Limits and Derivatives
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Derivative Applications

Curve sketching

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Optimization

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Related rates

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Integrals

Antiderivatives

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Riemann sum

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Definite integral

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Integration Applications

Areas between curves

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Normal Distribution and Z-score
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Confidence Intervals

Point estimates

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Margin of error

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