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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