Outline of IB Mathematics Higher Level

Outline of IB Mathematics Higher Level

Big overall changes are that matrices have been removed. The two portfolio
pieces have been replaced by a more open-ended mathematical exploration. Applications are mentioned
much more than previously.

Algebra
Arithmetic sequences and series, sum of finite arithmetic series, geometric sequences and series, sum of finite and infinite geometric series,Sigma notation.
Exponents and logarithms,Laws of exponents, laws of logarithms,Change of base.
Counting principles, including permutations and combinations.
The binomial theorem
Proof by mathematical induction.
Complex numbers: the number i
terms real part, imaginary part, conjugate,modulus and argument.
Cartesian form z = a + ib
Sums, products and quotients of complex numbers
Modulus–argument (polar) form, The complex plane.Powers of complex numbers: de Moivre’s theorem.
nth roots of a complex number
Conjugate roots of polynomial equations with real coefficients.
Solutions of systems of linear equations (a maximum of three equations in three unknowns), including cases where there is a unique solution, an infinity of solutions or no solution.