ARITHMETIC BASIC ALGEBRA AND DIFFERENTIAL CALCULUS: Simplified for Easy Understanding

Arithmetic, Basic Algebra and Differential Calculus is a book that contains topics under arithmetic basic topics in 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. Topics covered in this math textbook include: - REVIEW OF BASIC ARITHMETIC- FRACTIONS- WORD PROBLEMS INVOLVING FRACTIONS- CHAPTER 4 DECIMALS- PERCENTAGE- SIMPLE INTEREST- COMPOUND INTEREST- RATIO- RATE- PROPORTIONAL DIVISION- AVERAGES- MIXTURES- WORK AND TIME PROBLEM- BASIC ARITHMETIC OPERATIONS- SIMPLIFICATION, FACTORIZATION AND SUBSTITUTION IN ALGEBRA- LAWS OF INDICES- LINEAR EQUATIONS AND CHANGE OF SUBJECT OF FORMULAE- LINEAR EQUATIONS FROM WORD PROBLEMS- SIMULTANEOUS LINEAR EQUATIONS- WORD PROBLEMS LEADING TO SIMULTAENOUS LINEAR EQUATIONS- LOGICAL REASONING- QUADRATIC EQUATION- WORD PROBLEMS LEADING TO QUADRATIC EQUATIONS- VARIATION- SIMULTANEOUS LINEAR AND QUADRATIC EQUATIONS- LINEAR INEQUALITY AND INTRODUCTORY LINEAR PROGRAMMING- QUADRATIC INEQUALITY- INTRODUCTORY VECTOR ALGEBRA- LIMIT OF A FUNCTION- DIFFERENTIATION FROM FIRST PRINCIPLE- GENERAL RULE OF DIFFERENTIATION AND COMPOSITE FUNCTIONS- PRODUCT RULE OF DERIVATIVE- QUOTIENT RULE OF DERIVATIVE- DERIVATIVE OF PARAMETRIC EQUATIONS- DERIVATIVE OF IMPLICIT FUNCTIONS- DERIVATIVE OF TRIGONOMETRIC FUNCTIONS- DERIVATIVE OF INVERSE FUNCTIONS- DERIVATIVES OF INVERSE TRIGONOMETRIC FUNCTIONS- DERIVATIVES OF HYPERBOLIC FUNCTIONS- DERIVATIVE OF LOGARITHMIC FUNCTIONS- DERIVATIVE OF EXPONENTIAL FUNCTIONS- LOGARITHMIC DIFFERENTIATION- DERIVATIVE OF ONE FUNCTION WITH RESPECT TO ANOTHER- HIGHER DERIVATIVES (SUCCESSIVE DIFFERENTIATION)- MISCELLANEOUS PROBLEMS ON DIFFERENTIAL CALCULUS This 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 arithmetic, basic topics in algebra and differential calculus, puts you on the fast-track to mastering problem solving skills in these areas of mathematics.