Mathematics HL

Guide to the IB subject

Mathematics can be seen as a well-defined body of knowledge, as an abstract system of ideas, or as a useful tool. Mathematics HL is a challenging course that provides students with in-depth knowledge of the subject area. Mathematical concepts are developed in a comprehensible, coherent and rigorous way. Development of each topic will feature justification and proof of results. Students embarking on this course should expect to develop insight into mathematical form and structure, and should be intellectually equipped to appreciate the links between concepts in different topic areas.

The course aims to develop not only students' understanding of the principles and nature of the subject, but also their logical, critical and creative thinking. The course challenges students to appreciate the elegance, power and usefulness of mathematics, to refine their powers of abstraction and generalisation and to develop their patience and persistence in problem-solving. Students will also learn to appreciate the multicultural and historical perspectives of mathematics.

This demanding course is intended for students with a strong background in mathematics and competence in a range of analytical and technical skills. The majority of these students will be expecting to include mathematics as a major component of their university studies, either as a subject in its own right or within courses such as physics, engineering, technology or economics. Others may take this subject because, irrespective of their plans for further study, they have a strong interest in mathematics and enjoy meeting its challenges and engaging with its problems.

Adapted from the IB Mathematics HL Guide © International Baccalaureate Organization