Flashcards and recall.

Try this with Mathematical Methods

1. Write one prompt per card. Use definitions, explanations or examples from your current topic.
2. Answer aloud before turning the card. Split a card if it asks for several unrelated facts.
3. Set aside missed cards and revisit them in a later session.

View Mathematical Methods resources on ATARMAXXING ↗

Recall topics

• Define a function
• Define range vs codomain
• Define one-to-one (injective) function
• Define onto (surjective) function
• Define inverse function f^-1
• How to find an inverse function equation
• Define composite function (f ∘ g)(x)
• General form of polynomial function
• End behaviour of polynomials
• General form of exponential function
• General form of logarithmic function
• Three key logarithm properties
• Change of base formula for logarithms
• Define power function
• Properties of sine function
• Properties of cosine function
• Properties of tangent function
• Describe function transformations f(x) → af(k(x - h)) + v
• Definition of the derivative f'(x)
• Power rule for differentiation
• Product rule for differentiation
• Quotient rule for differentiation
• Chain rule for differentiation
• Derivatives of exponential functions
• Derivatives of circular functions
• Define critical point (stationary point)
• Second derivative test for extrema
• Define antiderivative (primitive)
• Power rule for integration
• Fundamental theorem of calculus
• Define a discrete random variable.
• Define a continuous random variable.
• State the formula for the expected value (mean) of a discrete random variable.
• State the formula for variance of a discrete random variable.
• Define the standard deviation and its relationship to variance.
• State the linearity of expectation property.
• State the variance property for linear transformations.
• Define the binomial distribution and state its parameters.
• State the binomial probability formula.
• State the mean and variance of a binomial distribution.