MATHEMATICS AND STATISTICS FOR TECHNOLOGISTS

CONTENTS - 1. REVIEW OF ELEMENTARY ALGEBRA - Indices, Logarithms, Graphs-Solution of Linear Equations, Solution of Quadratic Equations in One Variable, Approximate Solution of Higher Order Equations, Solution of Exponential Equations - 2. REVIEW OF ELEMENTARY PLANE TRIGONOMETRY - The Circular Functions, Radian Measure, Simple Applications of Trigonometry, Solution of General Triangles, Circular Functions of the Sum and Difference of Two Angles, Solution of Trigonometric Equations, The Inverse Circular Functions - 3. CO-ORDINATE PLANE GEOMETRY OF THE STRAIGHT LINE - Cartesian and Polar Co-ordinates, Loci, Various Forms of the Equation of a Line, Distance from a Point to a Line, Angle between Two Lines, Point of Intersection of Two Lines, Pairs of Lines, Problems Involving Straight Lines - 4. CO-ORDINATE PLANE GEOMETRY OF THE CIRCLE - Equations of a Circle, Equation of the Tangent to a Circle, Equation of the Normal to a Circle, Length of the Tangent from a Point to a Circle, Intersection of a Circle with a Line, Intersection of Two Circles, Problems Involving Circles and Lines - 5. THE BINOMIAL EXPANSION - Permutations and Combinations, The Binomial Expansion for Positive Integral Index, Some Properties of the Binomial Coefficients, The Binomial Expansion for any Index, Validity of the Binomial Expansion for any Index, Applications of the Binomial Expansion - 6. PARTIAL FRACTIONS - Rational Functions, Addition and Subtraction of Rational Functions , Partial Fractions Viewed as an Inverse Process, The Denominator g(ⅹ) Containing Non-Repeated Linear Factors, The Denominator g(ⅹ) Containing Repeated Linear Factors, The Denominator g(x) Containing Non-Repeated Quadratic Factors, The Denominator g(x) Containing Repeated Quadratic Factors, The General Denominator Applications of Partial Fractions - 7. FUNCTIONS AND LIMITS - Functional Relationships, Geometrical Representation of a Functional Relationship, Values and Limits of a Function, The Derivative of