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 a Function -
8. DIFFERENTIATION -
Differentiation from First Principles; Differentiation of x"-Differentiation of sin x and cos x; Differentiation of Sums, Differences, Products, and Quotients; Differentiation of Compound Circular Functions; Differentiation of a Function of a Function-Differentiation of log x; The Exponential and Hyperbolic Functions; Differentiation of Inverse Circular and Inverse Hyperbolic Functions -
9. APPLICATIONS OF DIFFERENTIATION -
Tangents and Normals to Curves; Estimation of Small Errors; Maclaurin and Taylor Series; Newton's Method for the Approximate Solution of Equations; Maxima and Minima -
10. INTEGRATION -
Integration as the Inverse of Differentiation; Special Methods of Integration; Integration Using Partial Fractions; Integration by Substitution; Integration by Parts; The Definite Integral; Reduction Formulae -
11. APPLICATIONS OF INTEGRATION -
Areas Bounded by Plane Curves; Mean Values; Arc Lengths of Plane Curves; Volumes of Solids of Revolution; Surfaces of Revolution; Centres of Gravity; Moments of Inertia; Hydrostatic Thrust and Centres of Pressure -
12. COMPLEX NUMBERS -
13. ORDINARY LINEAR DIFFERENTIAL EQUATIONS -
14 PARTIAL DIFFERENTIATION -
15. STATISTICAL METHOD -
16. STANDARD NUMERICAL MEASURES FOR DESCRIBING FREQUENCY DIAGRAMS -
17. PROBABILITY THEORY AND ITS APPLICATIONS -
18. BINOMIAL AND POISSON DISTRIBUTIONS -
19. NORMAL DISTRIBUTION -
20. CONTROL CHARTS -
21. POPULATION AND SAMPLE -
22. DISTRIBUTION OF DIFFERENCES -
23. TESTS OF SIGNIFICANCE -
24. ANALYSIS OF VARIANCE -
25. REGRESSION AND CORRELATION (LINEAR RELATIONSHIPS) -