Pure Mathematics Intermediate Level

The study area IM Pure Mathematics is informed by the National Curriculum Framework (NCF).

The syllabus assumes a good knowledge of the subject at SEC level and coverage of the extension topics in Paper 2A. We offer extra help to those students who have opted for Paper 2B at SEC level or who have not obtained the SEC Mathematics exam.

It aims to consolidate this knowledge and to extend it to include more advanced concepts. Most of these new concepts are inclined to provide a general and coherent view of the subject but they will not be treated with the same rigour and at the same depth as in the Advanced level course in the subject

Mathematics is a body of knowledge – a product that consists of a series of rich, interconnected conceptual structures made up of facts, techniques & skills, as well as concepts. At secondary school level, these structures are built around a small set of fundamental notions and their properties: numbers; constants, variables, and functions; two-dimensional and three-dimensional shapes, and measures of physical quantities; data, and measures of the likelihood of events 

Mathematics is also a way of thinking and a mode of enquiry – a creative process which helps us to discover and understand the world of mathematics and the relationships between the mathematical objects that inhabit this world. 

Finally, mathematics is a unique, rich, concise, precise, unambiguous, and universal language whose specialist vocabulary, symbolism, syntax, and semantics allows us to communicate ideas that cannot easily be communicated through other means. Moreover, as an internationally understood means of communication that goes beyond linguistic, cultural, and social barriers it enables us to share our ideas and understanding with others across time and space.

At the end of the programme, the student will be able to: 

• demonstrate the understanding of mathematical concepts, theories and techniques, including: surds, indices and logarithms, functions, exponential and logarithmic functions, polynomials, rational functions, remainder and factor theorem and partial fractions, quadratic equations, sequences and series, permutations, combinations and probability, straight line and linear laws, trigonometric functions and Radian measure, curve sketching and inequalities, differentiation, integration, differential equations, and matrices
• recognise and apply standard models in different contexts
• use calculator technology and formulae booklets efficiently