Arithmetic, Algebra, Coordinate Geometry, Differential Calculus, Statistics and Probability: A Well Simplified Math Book for

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 OPERATIONS
REVIEW OF BASIC ARITHMETIC
FRACTIONS
WORD PROBLEMS INVOLVING FRACTIONS
DECIMALS
PERCENTAGE
SIMPLE INTEREST
COMPOUND INTEREST
RATIO, RATE AND PROPORTIONAL DIVISION
AVERAGE RATES
WORK AND TIME PROBLEM
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 SIMULTANEOUS LINEAR EQUATIONS
QUADRATIC EQUATION
WORD PROBLEMS LEADING TO QUADRATIC EQUATIONS
VARIATION
SIMULTANEOUS LINEAR AND QUADRATIC EQUATIONS
LINEAR INEQUALITY
QUADRATIC INEQUALITY
INTRODUCTORY VECTOR ALGEBRA
SIMPLIFICATION OF ALGEBRAIC FRACTIONS
EQUATIONS AND SUBSTITUTIONS INVOLVING FRACTIONS
SIMULTANEOUS EQUATIONS INVOLVING FRACTIONS
ABSOLUTE VALUE EQUATION (MODULUS EQUATION)
INEQUALITIES INVOLVING ABSOLUTE VALUES, QUOTIENT AND SQUARE FUNCTIONS
INDICIAL EQUATIONS
ROOTS OF QUADRATIC EQUATIONS (USE OF ALPHA AND BETA)
FUNCTIONS
POLYNOMIALS
PARTIAL FRACTION
RADICAL EQUATIONS
THE STRAIGHT LINE: CHARACTERISTICS AND EQUATION
AREAS OF TRIANGLE AND QUADRILATERAL USING THE X-Y COORDINATES
LOCUS OF POINTS IN THE X-Y PLANE
COORDINATE GEOMETRY OF CIRCLE, PARABOLA, ELLIPSE AND HYPERBOLA
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
COLLECTION AND TABULATION OF DATA
MEAN, MEDIAN AND MODE OF UNGROUPED DATA
COLLECTION AND TABULATION OF GROUPED DATA
MEAN, MEDIAN AND MODE OF GROUPED DATA
MEAN DEVIATION
VARIANCE AND STANDARD DEVIATION
QUARTILES AND PERCENTILES BY INTERPOLATION METHOD
THE BASIC THEORY OF PROBABILITY
PROBABILITY ON SIMPLE EVENTS
PROBABILITY ON PACK OF PLAYING CARDS
PROBABILITY ON TOSSING OF COINS
PROBABILITY ON THROWING OF DICE
MISCELLANEOUS PROBLEMS ON PROBABILITY