A self-teaching guide for anyone who wants to learn the concepts that precede Calculus in a clear and concise way. It employs a friendly writing tone, many solved and proposed exercises, stories and even jokes; standing apart from the classic academic book.
This book covers all the essential topics of Precalculus, including:
ArithmeticAlgebraPolynomialsAnalytic GeometryFunctionsThis title is the result of several decades of the author's experience teaching Calculus at university education level.
Chapter 1. Preliminaries:
An Overview of Logic and Set TheoryThe Real Number System Radicals and Rational ExponentsSome Topics of AlgebraPolynomial EquationsOrder Axioms and InequationsAbsolute ValueChapter2. The Cartesian Plane and The Line:
The Cartesian PlaneEquation Graphs. Symmetry and TranslationsLines and Linear EquationsChapter 3. The Conics:
IntroductionThe ParabolaThe EllipseThe HyperbolaGeneral 2nd Degree Equation. RotationsChapter 4. Real Functions:
Real Functions and their GraphsTrigonometric FunctionsNew Functions from Old FunctionsInverse Functions Inverse Trigonometric FunctionsExponential FunctionsLogarithmic FunctionsFunction Applications