Arithmetic, Algebra, Coordinate Geometry, Differential Calculus, Statistics and Probability: A Well Simplified Math Book for high Schools and Colleges [Print Replica] Kindle Edition

This book consists of step-by-step explanation of topics presented in ways which are easy for students to understand. It is a valuable tool for students in high schools and higher institutions of learning, and contains very many worked examples and many self-assessment exercises to ensure that students get a mastery of each topic covered. The answers to the exercises are provided at the end of the book.Topics covered in this math textbook include:BASIC ARITHMETIC OPERATIONSREVIEW OF BASIC ARITHMETICFRACTIONSWORD PROBLEMS INVOLVING FRACTIONSDECIMALSPERCENTAGESIMPLE INTERESTCOMPOUND INTERESTRATIO, RATE AND PROPORTIONAL DIVISIONAVERAGE RATESWORK AND TIME PROBLEMSIMPLIFICATION, FACTORIZATION AND SUBSTITUTION IN ALGEBRALAWS OF INDICESLINEAR EQUATIONS AND CHANGE OF SUBJECT OF FORMULAELINEAR EQUATIONS FROM WORD PROBLEMSSIMULTANEOUS LINEAR EQUATIONSWORD PROBLEMS LEADING TO SIMULTANEOUS LINEAR EQUATIONSQUADRATIC EQUATIONWORD PROBLEMS LEADING TO QUADRATIC EQUATIONSVARIATIONSIMULTANEOUS LINEAR AND QUADRATIC EQUATIONSLINEAR INEQUALITYQUADRATIC INEQUALITYINTRODUCTORY VECTOR ALGEBRASIMPLIFICATION OF ALGEBRAIC FRACTIONSEQUATIONS AND SUBSTITUTIONS INVOLVING FRACTIONSSIMULTANEOUS EQUATIONS INVOLVING FRACTIONSABSOLUTE VALUE EQUATION (MODULUS EQUATION)INEQUALITIES INVOLVING ABSOLUTE VALUES, QUOTIENT AND SQUARE FUNCTIONSINDICIAL EQUATIONSROOTS OF QUADRATIC EQUATIONS (USE OF ALPHA AND BETA)FUNCTIONSPOLYNOMIALSPARTIAL FRACTIONRADICAL EQUATIONSTHE STRAIGHT LINE: CHARACTERISTICS AND EQUATIONAREAS OF TRIANGLE AND QUADRILATERAL USING THE X-Y COORDINATESLOCUS OF POINTS IN THE X-Y PLANECOORDINATE GEOMETRY OF CIRCLE, PARABOLA, ELLIPSE AND HYPERBOLALIMIT OF A FUNCTIONDIFFERENTIATION FROM FIRST PRINCIPLEGENERAL RULE OF DIFFERENTIATION AND COMPOSITE FUNCTIONSPRODUCT RULE OF DERIVATIVEQUOTIENT RULE OF DERIVATIVEDERIVATIVE OF PARAMETRIC EQUATIONSDERIVATIVE OF IMPLICIT FUNCTIONSDERIVATIVE OF TRIGONOMETRIC FUNCTIONSDERIVATIVE OF INVERSE FUNCTIONSDERIVATIVES OF INVERSE TRIGONOMETRIC FUNCTIONSDERIVATIVES OF HYPERBOLIC FUNCTIONSDERIVATIVE OF LOGARITHMIC FUNCTIONSDERIVATIVE OF EXPONENTIAL FUNCTIONSLOGARITHMIC DIFFERENTIATIONDERIVATIVE OF ONE FUNCTION WITH RESPECT TO ANOTHERHIGHER DERIVATIVES (SUCCESSIVE DIFFERENTIATION)MISCELLANEOUS PROBLEMS ON DIFFERENTIAL CALCULUSCOLLECTION AND TABULATION OF DATAMEAN, MEDIAN AND MODE OF UNGROUPED DATACOLLECTION AND TABULATION OF GROUPED DATAMEAN, MEDIAN AND MODE OF GROUPED DATAMEAN DEVIATIONVARIANCE AND STANDARD DEVIATIONQUARTILES AND PERCENTILES BY INTERPOLATION METHODTHE BASIC THEORY OF PROBABILITYPROBABILITY ON SIMPLE EVENTSPROBABILITY ON PACK OF PLAYING CARDSPROBABILITY ON TOSSING OF COINSPROBABILITY ON THROWING OF DICEMISCELLANEOUS PROBLEMS ON PROBABILITYThis book follows a self-guided approach which enables you to move through the material at your own pace―gradually building upon your knowledge while you strengthen your critical thinking and problem-solving skills. Read more