ARITHMETIC BASIC ALGEBRA AND DIFFERENTIAL CALCULUS

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