Publisher's Synopsis
Simplified Algebra, Differential Calculus, Statistics and Probability serves as a useful companion for students in high schools, 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.
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:
- 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
- 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
- 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
- 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
