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 OperationsSimplification, Factorization and Substitution in AlgebraIndicesLinear Equations and Change of Subject of FormulaeLinear Equations from Word ProblemsSimultaneous Linear EquationsWord Problems Leading to Simultaneous Linear EquationsLogical ReasoningQuadratic EquationWord Problems Leading to Quadratic EquationsVariationSimultaneous Linear and Quadratic EquationsLinear Inequality and Linear ProgrammingQuadratic InequalityIntroductory Vector AlgebraLIMIT OF A FUNCTIONDIFFERENTIATION FROM FIRST PRINCIPLEGENERAL RULE OF DIFFERENTIATION AND COMPOSITE FUNCTIONSPRODUCT RULE OF DERIVATIVEQUOTIENT RULE OF DERIVATIVEDERIVATIVE OF PARAMETRIC EQUATIONSDERIVATIVE OF IMPLICIT FUNCTIONSDERIVATIVE OF TRIGONOMETRIC FUNCTIONSDERIVATIVE OF INVERSE FUNCTIONSDERIVATIVES OF INVERSE TRIGONOMETRIC FUNCTIONSDERIVATIVES OF HYPERBOLIC FUNCTIONSDERIVATIVE OF LOGARITHMIC FUNCTIONSDERIVATIVE OF EXPONENTIAL FUNCTIONSLOGARITHMIC DIFFERENTIATIONDERIVATIVE OF ONE FUNCTION WITH RESPECT TO ANOTHERHIGHER DERIVATIVES (SUCCESSIVE DIFFERENTIATION)MISCELLANEOUS PROBLEMS ON DIFFERENTIAL CALCULUSThis 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