ARITHMETIC, ALGEBRA AND DIFFERENTIAL CALCULUS: The Ultimate Guide to Mastering Arithmetic, Algebra and Differential Calculus

Arithmetic, Algebra and Differential Calculus is a book that contains topics under arithmetic algebra and differential calculus. This book serves as a useful companion for students in high schools, colleges and universities. 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 and differential calculus, to understand each topic with ease, and hence make mathematics more interesting.Exercises are given at the end of each chapter for students to assess their understanding of the topics. Answers to the exercises are provided at the end of the book. This math textbook is an ideal resource for high school (secondary school), college and university students. It is also a useful book for students preparing for admission into tertiary institutions and need to take entrance tests or exams.Topics covered in this math textbook include:REVIEW OF BASIC ARITHMETICFRACTIONSWORD PROBLEMS INVOLVING FRACTIONSCHAPTER 4 DECIMALSPERCENTAGESIMPLE INTERESTCOMPOUND INTERESTRATIORATEPROPORTIONAL DIVISIONAVERAGESMIXTURESWORK AND TIME PROBLEMBASIC 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 SIMULTAENOUS LINEAR EQUATIONSLOGICAL REASONINGQUADRATIC EQUATIONWORD PROBLEMS LEADING TO QUADRATIC EQUATIONSVARIATIONSIMULTANEOUS LINEAR AND QUADRATIC EQUATIONSLINEAR INEQUALITY AND INTRODUCTORY LINEAR PROGRAMMINGQUADRATIC 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 EQUATIONSLIMIT 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 CALCULUS Read more