Designed to accompany a series of videotapes, this textbook provides information, examples, problems, and solutions relating to mathematics and its applications in technical fields. Chapter I deals with basic arithmetic, providing information on fractions, decimals, ratios, proportions, percentages, and order of operations. Chapter II focuses on algebra, covering real numbers; terms, variables, and expressions; exponents; polynomials; multiplying two expressions; factoring; algebraic fractions; signed numbers; the rectangular coordinate system; first degree, second degree, and linear equations; inequalities; and functions. After chapter III presents the geometric concepts of area, pi, volume, and conic sections, chapter IV provides an introduction to trigonometry, covering positive, negative, general, acute, and quadrantal angles; vectors; right and oblique triangles; graphing of trigonometric functions; calculators with trig functions; period of waves; and trigonometric curves. Next, chapter V focuses on differentiation and integration in calculus. Finally, chapter VI considers the applications of mathematics in plane surveying, computer science, machine parts inspection, automotive technology, aviation, manufacture engineering processes, pharmacology, and optical technology. Practice sheets with answers are included. (AYC)