Group 5 Mathematics

Higher Level

This course is aimed at students with both a strong background and keen interest in mathematics and is often a pre-requisite for university courses in mathematics, physics, astronomy, engineering and economics, amongst others.

The syllabus is rigorous and demanding in both level and workload. It is expected that students starting this course will have already reached a high level of attainment in the subject.

The syllabus is divided into these core topics:

• algebra
• functions and equations
• circular functions and trigonometry
• vectors
• statistics and probability
• calculus.

There is also an additional topic chosen from: statistics and probability; sets, relations and groups; calculus or discrete mathematics.

Standard Level

This course is designed for students who have a good background in mathematics, especially those working towards university level science.

The subject content is a subset of the Higher Level, with less demanding assessment.

The syllabus is divided into these topics:

• algebra
• functions and equations
• circular functions and trigonometry
• vectors
• statistics and probability
• calculus.

Mathematical Studies Standard Level

This course is designed for students who do not require Mathematics Higher Level or Mathematics Standard Level for university entrance or who find mathematics challenging.

The syllabus is divided into these topics:

• number and algebra
• descriptive statistics
• logic, sets and probability
• statistical applications
• geometry and trigonometry
• mathematical models
• introduction to differential calculus.

Further Mathematics (Higher Level)

This course is aimed at exceptional mathematics students who are already taking Mathematics Higher Level.

Additional topics include:

• linear algebra
• geometry
• statistics and probability
• sets, relations and groups
• calculus
• discrete mathematics.