Geometry is one of the oldest branches of mathematics. Applications of geometric constructions were made centuries before the mathematical principles on which the constructions were based were recorded. Geometry is a mathematical study of points, lines, planes, closed flat shapes, and solids. Using any one of these alone, or in combination with others, it is possible to describe, design, and construct every visible object. The purpose of this section is to provide a foundation of geometric principles and constructions on which many practical problems depend for solution.
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The Mathematics Fundamentals Handbook was developed to assist nuclear facility operating contractors provide operators, maintenance personnel, and the technical staff with the necessary fundamentals training to ensure a basic understanding of mathematics and its application to facility operation. The handbook includes a review of introductory mathematics and the concepts and functional use of algebra, geometry, trigonometry, and calculus. Word problems, equations, calculations, and practical exercises that require the use of each of the mathematical concepts are also presented. This information will provide personnel with a foundation for understanding and performing basic mathematical calculations that are associated with various DOE nuclear facility operations.
• Module 3 - Geometry
This module describes the basic geometric figures of triangles, quadrilaterals, and circles; and the calculation of area and volume.
• Module 4 - Trigonometry
This module describes the trigonometric functions of sine, cosine, tangent, cotangent, secant, and cosecant. The use of the pythagorean theorem is also discussed.
• Module 5 - Higher Concepts of Mathematics
This module describes logarithmic functions, statistics, complex numbers, imaginary numbers, matrices, and integral and derivative calculus.
The information contained in this handbook is by no means all encompassing. An attempt to present the entire subject of mathematics would be impractical. However, the Mathematics handbook does present enough information to provide the reader with a fundamental knowledge level sufficient to understand the advanced theoretical concepts presented in other subject areas, and to better understand basic system and equipment operations.