In 35 years of teaching mathematics to Engineers and Scientists, I have frequently been made aware (by students) of a common cry for help. "We're coping, generally, with our courses", they may say, "but it's Just the Maths". This is the title chosen for the package herein.
Traditional text-books and programmed learning texts can sometimes include a large amount of material which is not always needed for a particular course; and which can leave students feeling that there is too much to cope with. Many such texts are biased towards the mathematics required for specific engineering or scientific disciplines and emphasise the associated practical applications in their lists of tutorial examples. There can also be a higher degree of mathematical rigor than would be required by students who are not intending to follow a career in mathematics itself.
"Just the Maths" is a collection of separate units, in chronological topic-order, intended to service foundation level and first year degree level courses in higher education, especially those delivered in a modular style. Each unit represents, on average, the work to be covered in a typical two-hour session consisting of a lecture and a tutorial. However, since each unit attempts to deal with self-contained and, where possible, independent topics, it may sometimes require either more than or less than two hours spent on it.
"Just the Maths" does not have the format of a traditional text-book or a course of programmed learning; but it is written in a traditional pure-mathematics style with the minimum amount of formal rigor. By making use of the well-worn phrase, "it can be shown that", it is able to concentrate on the core mathematical techniques required by any scientist or engineer. The techniques are demonstrated by worked examples and reinforced by exercises that are few enough in number to allow completion, or near-completion, in a one-hour tutorial session. Answers to exercises are supplied at the end of each unit of work.