Basic Algebra, Differential Calculus, Statistics and Probability

Basic Algebra, Differential Calculus, Statistics and Probability serves as a useful companion for students in high schools and higher institutions of learning. It is a valuable textbook for students who want to write entrance test or examination into colleges and universities. This book consists of step-by-step explanation of topics presented in a way that is easy for students to understand. It 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.
What makes this book a unique mathematical asset, is its detailed step by step approach in explaining the topics covered in these branch of mathematics. Instead of solving questions by going straight to the point, leaving you confused and frustrated, this textbook teaches you in simple English, explaining each step taken at a time. Thus, allowing anyone, regardless of their experience in algebra, differential calculus, statistics and probability, to understand each topic with ease, and hence make mathematics more interesting.BASIC ARITHMETIC OPERATIONSSIMPLIFICATION, 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 ALGEBRALIMIT 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 METHODBASIC 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.
This textbook breaks down difficult calculations into simpler steps. It gets you rolling with all the basics you need. This worked examples-packed book on algebra, differential calculus, statistics and probability puts you on the fast-track to mastering problem solving skills in these areas of mathematics.