MAT
Topics
These topics cover the training scope of MAT. Open a topic for study guidance and worked examples.
Factorisation, polynomial division, Vieta's formulas, binomial expansion
Identities, solving equations, graph transformations of sinx/cosx/tanx
Historical scope: differentiation of power functions and sums/differences, derivatives of exponential functions, integration of power functions and areas; general differential equations or volumes of revolution are not required.
Properties of ln/e, logarithmic equations, exponential growth
Lines, circles, parabolas, intersection and tangency
Arithmetic and geometric sequences, recurrence relations, introduction to limits
Reasoning and counterexamples based on the given conditions, without treating additional advanced proof techniques as a prior requirement.
Only applicable to the computer science direction: basic algorithms, the concept of time complexity