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This material assumes familiarity with algebra at the non-calculus level, and with elements of two-dimensional geometry. Different topics are summarised in separate sections and worked examples are given to show the application of the material. These are followed by problems which the student should undertake to ensure satisfactory understanding of the section.

Many students may already know much of the material presented, in which case it may only be necessary to make a quick reminder of the terminology used throughout the course. It may also be useful for access to formulae, and several oft-used relationships, differentials and integrals are summarised in an appendix. More advanced mathematical material than appears here may be introduced as needed during the course. Definitions of mathematical terms are printed in bold type.