SIMPLIFIED ALGEBRA AND DIFFERENTIAL CALCULUS: The Ultimate Guide to Mastering Algebra and Differential Calculus

Simplified Algebra and Differential Calculus is a book that contains topics under 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:
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
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)
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 algebra and differential calculus, puts you on the fast-track to mastering problem solving skills in these areas of mathematics.