Higher Level Mathematics for the International Baccalaureate Diploma

Course content

Algebra, functions, and equations

Counting principles Exponents and logarithms Polynomials Algebraic structures The theory of functions

Transformation of graphs Sequences and series Binomial expansion Complex numbers Mathematical induction

Geometry

Circular measure and trigonometric functions Trigonometric equations and identities Geometry of triangles and circles

Further trigonometry Vectors Lines and planes in space

Calculus

Basic differentiation and its applications Basic integration and its applications Further differentiation methods

Further integration methods Further applications of calculus

Probability and statistics

Summarising data Probability

Discrete probability distributions Continuous distributions

Options

Statistics and probability Sets, relations and groups

Calculus Discrete mathematics

Supplementary

Exams Examination information Past papers

Glossaries Glossary of terminology Glossary of proofs