Mathematics for the General Course in Engineering
The Commonwealth and International Library: Mechanical Engineering Division, Volume 2
Published on 24. September 2013
352 pages
978-1-4831-3711-7 (ISBN)
Description
Mathematics for the General Course in Engineering covers the syllabus in mathematics for the general course in engineering. Topics covered deal with arithmetic, logarithms, and mensuration, along with algebra, geometry, and trigonometry. Examples and the corresponding answers are given at the end of each chapter. This volume is comprised of six chapters and begins with an introduction to arithmetic, with emphasis on how to compute fractions, decimals, averages, ratio, percentages, reciprocals, squares and square roots, and errors. The next chapter deals with logarithms and considers positive and negative numbers, the use of brackets, and indices as well as the laws of logarithms and the use of logarithms in calculations. Subsequent chapters focus on mensuration (right prism, oblique prism, sphere, average-area rule, etc.); algebra (signs, maxima and minima, graphical solution of equations, etc.), geometry (angles, intersecting chords, radians, etc.), and trigonometry (special angles, identities, sine rule, cosine rule, etc.). This book will be a useful resource for students of mathematics and engineering.
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Content
UnitsChapter 1: Arithmetic Fractions Decimals Averages Ratio Percentages Reciprocals Squares Square roots Calculations Comparison of Fractions and Decimals ErrorsChapter 2: Logarithms Positive and Negative Numbers The Use of Brackets Indices The Use of Logarithms in Calculations The Laws of LogarithmsChapter 3: Mensuration The Right Prism The Oblique Prism The Right Circular Cylinder The Right Circular Cone The Oblique Circular Cone The General Cone The Sphere Similar Areas Similar Solids The Area Under the Velocity-Time Graph The Area Under the Acceleration-Time Graph The Area Under the Force-Distance Graph The Average-Ordinate Rule The Mid-Ordinate Rule The Average-Area Rule The Mid-Area RuleChapter 4: Algebra Signs The Use of Letters Power of a Product Power of a Fraction The Laws of Brackets Division Factors Fractions Indices Simple Equations Problems Involving Simple Equations Linear Simultaneous Equations Problems Involving Linear Simultaneous Equations The Construction of Formulae The Transposition of Formulae Quadratic Equations Problems Involving Quadratic Equations Variation Plotting Straight Line Graphs Finding the Law of a Straight Line Graph The Meaning of a and b in the Equation y = ax + b The Slope of the Distance-Time Graph The Slope of the Velocity-Time Graph Equations in Straight Line Form Plotting Curved Graphs Maxima and Minima The Graphical Solution of EquationsChapter 5: Geometry Angle at the Centre of a Circle Angle at the Circumference Angles in the Same Segment Angle in a Semicircle Angle between Tangent and Chord Angle in the Opposite Segment Intersecting Chords Radians The Use of Tables Length of an Arc Area of a SectorChapter 6: Trigonometry Solution of the Right-Angled Triangle Special Angles Identities Angles of any Size Radians Slope of a Straight Line Graph Sine and Cosine Graphs Solution of Equations Sine Rule Cosine Rule Area of a TriangleAnswers
