Mathematics
    IB
    Algebra & Functions (Analysis & Approaches HL)

    IB Maths AA HL Algebra & Functions Tutor

    IB Maths AA HL Algebra and Functions covers some of the most powerful mathematical ideas at this level — complex numbers, proof by mathematical induction, the binomial theorem, and a rich treatment of functions including transformations and inverses.

    Board: IB (International Baccalaureate)

    Topics Covered

    • Functions, domain and range
    • Composite and inverse functions
    • Transformations of graphs
    • Polynomial division and factor theorem
    • Sequences and series (arithmetic and geometric)
    • Binomial theorem
    • Complex numbers (Cartesian and polar form)
    • De Moivre's theorem
    • Proof by induction

    Exam Tips

    • Tip 1:Complex numbers: know how to convert between Cartesian, polar, and exponential forms
    • Tip 2:Proof by induction: always clearly state the inductive step and assumption
    • Tip 3:For polynomials: if (x-a) is a factor, then f(a) = 0
    • Tip 4:Binomial theorem: expand (a + b)ⁿ — watch sign and coefficient errors

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