Calculus_Volume_2_-_WEB-part-1

Volume 2 Overview

Contributors

• Senior Contributing Authors:

  • Gilbert Strang, Massachusetts Institute of Technology

  • Edwin "Jed" Herman, University of Wisconsin at Stevens Point

About OpenStax

• OpenStax is an initiative aimed at providing free, peer-reviewed, openly licensed textbooks.

• Located at Rice University.

• The mission includes improving educational access and learning for everyone.

Licensing Information

• Textbook content is licensed under Creative Commons Attribution Non-Commercial ShareAlike 4.0 (CC BY-NC-SA 4.0).

• Users can share, remix, and build upon the material for noncommercial purposes with proper attribution.

• Provides guidelines for electronic and print redistribution.

Philanthropic Support

• OpenStax is supported by numerous philanthropic organizations including:

  • Bill & Melinda Gates Foundation

  • Chan Zuckerberg Initiative

  • Google Inc.

  • Various others

Accessibility and Features

• OpenStax books can be accessed for free via the web.

• Features online highlighting and note-taking for personalized study guides.

• Comprehensive support and additional resources available for students and instructors.

Contents Breakdown

Preface

• The textbook is structured for a two- or three-semester general calculus course.

• Designed to cover essential topics in a logical order to enhance understanding and application.

Major Chapters in Volume 2

1. Integration

   • Introduction to integration techniques and applications.

   • Includes sections like the definite integral, the Fundamental Theorem of Calculus, and substitution techniques.

2. Applications of Integration

   • Focuses on real-world applications such as finding areas, volumes, and physical properties.

3. Techniques of Integration

   • Explores various methods for evaluating integrals, including integration by parts and trigonometric substitutions.

4. Introduction to Differential Equations

   • Basics of differential equations and solution techniques.

5. Sequences and Series

   • Covers concepts related to sequences, convergence, and series summation.

6. Power Series

   • Discussions on power series, convergence, and applications.

7. Parametric Equations and Polar Coordinates

   • Focus on parametric and polar forms, including area and arc length calculations in these systems.

Appendices

• Table of Integrals

• Table of Derivatives

• Review of Pre-Calculus

• Answer Key

• Index

Key Educational Objectives

• Each chapter employs pedagogical features such as definitions, examples, and practice problems intended to reinforce understanding of calculus concepts.

• Instructors have the flexibility to adapt and customize the textbook according to their teaching needs.

Conclusion

• OpenStax aims to improve the learning experience through free access to high-quality educational resources, ensuring that students nationwide receive a strong foundation in calculus.