SIMPLIFIED HIGHER ALGEBRA AND DIFFERENTIAL CALCULUS

Simplified Higher 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:

• SIMPLIFICATION OF ALGEBRAIC FRACTIONS
• EQUATIONS AND SUBSTITUTIONS 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