Discrete mathematics
Chapter 40 of 30 strong
RESTS ONWrite and read the arithmetic recurrence relationFOUNDATIONSSolve a one-step linear equationFOUNDATIONSWrite and read the geometric recurrence relationFOUNDATIONSMultiplication and divisionFOUNDATIONSConstruct induction proofs with a verified base, arbitrary-index hypothesis and justified next caseCH 1Write a recurrence relation as a starting value and a ruleFOUNDATIONSSimplify a fractionFOUNDATIONSAdd the counts of disjoint cases for an OR procedure and ensure the cases neither overlap nor omit valid outcomesFOUNDATIONSForm or recognise the union, intersection, difference and complement of finite or interval-defined sets relative to an explicitly stated universeCH 1Construct direct, contrapositive and contradiction arguments with justified stepsCH 1Multiply every entry of a matrix by a scalarFOUNDATIONSAdd or subtract matrices entry by corresponding entryFOUNDATIONSState a matrix product's order from the outer numbersFOUNDATIONSSigned numbersFOUNDATIONSDefine the inverse as the matrix that multiplies to the identityFOUNDATIONSRecognise that matrix multiplication is not commutativeFOUNDATIONSWrite a pair of linear equations as a matrix equationFOUNDATIONSRead a labelled data matrix and its row and column totalsFOUNDATIONS
Sequences and series
Linear recurrences
Counting and identities
Matrices