Book Title: Differential Calculus

Author: Mike LePine

Cover image for Differential Calculus
License:
Creative Commons Attribution NonCommercial ShareAlike

Contents

Book Information

Book Description

A study of derivatives of algebraic and trigonometric functions, applications to tangents and normals, curve sketching and Maximum-Minimum word problems, curvilinear motion, related rates , Newtons method for solving equations, differentiation methods for simple algebraic functions with applications for electronics, determinants, trigonometric identities.

Author

Mike LePine

License

Icon for the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License

Differential Calculus Copyright © 2022 by Mike LePine is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

Subject

Mathematics

Metadata

Title
Differential Calculus
Author
Mike LePine
License

Icon for the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License

Differential Calculus Copyright © 2022 by Mike LePine is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

Pre-Calculus is an adaptation from the following 2 books:

  1. Algebra and Trigonometry Open Stax by Jay Abramson, is licensed under a Creative Commons Attribution 4.0 International (CC BY) license
  2. Calculus Volume 1 – Open Stax by Gilbert Strang and Edwin “Jed” Herman and is under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA) License

The new and revised material in this adaptation is copyrighted 2022 by the adapting author Mike LePine and is released under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA) License

This adaptation has seen substantial reordering and reformatting of the original texts, minor wording adjustments, the addition of new content, replacement of images, and deletions.

The revisions made to the original books are listed below.

Chapter 1

  • Chapter 1.1 – adapted from chapter 55 in Algebra and Trigonometry by Jay Abramson
  • Chapter 1.2 – adapted from chapter 56 in Algebra and Trigonometry by Jay Abramson
  • Chapter 1.3 – adapted from chapter 57 in Algebra and Trigonometry by Jay Abramson
  • Chapter 1.4 – adapted from chapter 58 in Algebra and Trigonometry by Jay Abramson
  • Chapter 1.5 – adapted from chapter 59 in Algebra and Trigonometry by Jay Abramson
  • Chapter 1.6 – adapted from chapter 60 in Algebra and Trigonometry by Jay Abramson
  • Chapter 1.7 – adapted from chapter 75 in Algebra and Trigonometry by Jay Abramson
  • Chapter 1.8 – adapted from chapter 76 in Algebra and Trigonometry by Jay Abramson
  • Chapter 1.9 – adapted from chapter 77 in Algebra and Trigonometry by Jay Abramson
  • Chapter 1.10 – adapted from chapter 78 in Algebra and Trigonometry by Jay Abramson

Chapter 2

  • Chapter 2.1 – adapted from chapter 1 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 2.2 – adapted from chapter 1.1 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 2.3 – adapted from chapter 1.2 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 2.4 – adapted from chapter 1.3 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 2.5 – adapted from chapter 1.5 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 2.6 – adapted from chapter 1.6 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 2.7 – adapted from Chapter 1 Review Exercises  in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman

Chapter 3

  • Chapter 3.1 – adapted from chapter 2 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 3.2 – adapted from chapter 2.1 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 3.3 – adapted from chapter 2.2 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 3.4 – adapted from chapter 2.3 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 3.5 – adapted from chapter 2.4 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 3.6 – adapted from chapter 2.5 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 3.7 – adapted from Chapter 2 Review Exercises  in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman

Chapter 4

  • Chapter 4.1 – adapted from chapter 3 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 4.2 – adapted from chapter 3.1 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 4.3 – adapted from chapter 3.2 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 4.4 – adapted from chapter 3.3 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 4.5 – adapted from chapter 3.4 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 4.6 – adapted from chapter 3.5 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 4.7 – adapted from chapter 3.6 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 4.8 – adapted from chapter 3.7 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 4.9 – adapted from chapter 3.8 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 4.10 – adapted from chapter 3.8 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 4.11 – adapted from Chapter 3 Review Exercises  in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman

Chapter 5

  • Chapter 5.1 – adapted from chapter 4 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 5.2 – adapted from chapter 4.1 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 5.3 – adapted from chapter 4.2 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 5.4 – adapted from chapter 4.3 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 5.5 – adapted from chapter 4.4 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 5.6 – adapted from chapter 4.5 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 5.7 – adapted from chapter 4.6 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 5.8 – adapted from chapter 4.7 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 5.9 – adapted from chapter 4.8 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 5.10 – adapted from chapter 4.9 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 5.11 – adapted from chapter 4.10 in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
  • Chapter 5.12 – adapted from Chapter 4 Review Exercises  in Calculus Volume 1 by Gilbert Strang and Edwin “Jed” Herman
Primary Subject
Mathematics
Publisher
St. Clair College AA&T
Publication Date
January 1, 2022