SIMPLIFIED BASIC ALGEBRA AND DIFFERENTIAL CALCULUS

SIMPLIFIED BASIC ALGEBRA AND DIFFERENTIAL CALCULUS: The Ultimate Guide to Mastering Basic Algebra and Differential Calculus, is a book which provides an easy way to gain a solid understanding of Algebra and Derivatives (Differentiation) and Limits in Calculus. Assuming no background knowledge of this aspect of mathematics, this clear and self teaching guide explains solved problems in ways that are easy to understand. 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 maths textbook include:

• Basic Algebraic Operations
• Simplification, Factorization and Substitution in Algebra
• Indices
• Linear Equations and Change of Subject of Formulae
• Linear Equations from Word Problems
• Simultaneous Linear Equations
• Word Problems Leading to Simultaneous Linear Equations
• Logical Reasoning
• Quadratic Equation
• Word Problems Leading to Quadratic Equations
• Variation
• Simultaneous Linear and Quadratic Equations
• Linear Inequality and 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