Precalculus for Everybody

Precalculus for Everybody

The most effective introduction to Calculus

Learning calculus is a tough business when we lack proper mathematical foundations.

That is why we have synthesized all the essential topics for a successful approach to calculus courses in a lightweight book.

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More than just a classic academic book

This work is a handbook to tackle the concepts that precede Calculus with a friendly writing tone, solved exercises, proposed exercises, demonstrations, stories and some mathematical jokes.

More features

This book is the result of some decades of the author’s experience teaching Calculus, and was conceived to fulfill the academic gaps of elementary and middle school education, emphasizing practice for a quick and functional understanding.

  • Suitable for students or applicants to Science and Engineering degrees, as well as for Science and Technology enthusiasts.
  • Balance between theory and practice.
  • Theory is followed by examples, solved exercises, proposed exercises.
  • Excerpts from history of mathematics and contemporary references.
  • Flashes of contemporary mathematical humor.
  • Over 750 proposed exercises, with their corresponding answers.
Interactivity

Among its pages you will find some QR codes that connect to our social media, which allows us to provide multimedia content, in addition to encourage the reader’s interactivity.

Chapter 1: Preliminaries

  • An Overview of Logic and Set Theory
  • The Real Number System
  • Radicals and Rational Exponents
  • Some Topics of Algebra
  • Polynomial Equations
  • Order Axioms and Inequations
  • Absolute Value

Chapter 2: The Cartesian Plane and The Line

  • The Cartesian Plane
  • Equation Graphs. Symmetry and Translations
  • Lines and Linear Equations

Chapter 3: The Conics

  • Introduction
  • The Parabola
  • The Ellipse
  • The Hyperbola
  •  General 2nd Degree Equation. Rotations

Chapter 4: Real Functions

  • Real Functions and their Graphs
  • Trigonometric Functions
  • New Functions from Old Functions
  • Inverse Functions
  • Inverse Trigonometric Functions
  • Exponential Functions
  • Logarithmic Functions
  • Function Applications

Author: Jorge A. Sáenz

ISBN: 978-612-48516-2-9

Edition: First edition, 2023

Number of pages: 340

Format: Paperback

Measures: 6×9 inches

Weight: 1.2 pounds