This chapter aims to provide you with a sound foundation in mathematical principles, which will enable you to solve mathematical, scientific and associated aircraft engineering problems at the mechanic and technician level. Mathematics is divided into two major parts: Non-calculator mathematics, which covers all of the mathematics laid down in Joint Aviation Requirements ( JAR) 66 Module 1, up to the level appropriate for aircraft maintenance category B certifying technicians. The other part of mathematics is Further mathematics (Chapter 3), which in the opinion of the authors, is necessary for a thorough understanding of the physics and electrical principles that follow. A second objective of Further mathematics is to provide the mathematical base necessary for further academic and professional progression, particularly for those individuals wishing to become Incorporated Engineers, after successfully obtaining their category B license.
We start with some elementary arithmetic. In particular, we review the concepts of number and the laws that need to be followed, when carrying out arithmetic operations, e.g. addition, subtraction, multiplication and division. The important concept of arithmetic estimates and estimation techniques involving various forms of number are also covered. While revising the fundamental principles of number, we consider both explicit numbers and literal numbers (letters), in order to aid our understanding of not only arithmetic operations, but also the algebraic operations that will follow later. Decimal numbers and the powers of 10 are then considered, after which fractional numbers and the manipulation of...
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