Improper Integrals. Basics of Differential Equations. Direction Fields and Numerical Methods. Separable Equations. The Logistic Equation. First-order Linear Equations. Infinite Series. The Divergence and Integral Tests. Comparison Tests. Alternating Series. Ratio and Root Tests. Power Series and Functions. Properties of Power Series. Taylor and Maclaurin Series. Working with Taylor Series.
Parametric Equations. Calculus of Parametric Curves. Polar Coordinates. Our adaptive learning technology, designed to improve learning outcomes through personalized educational paths, is being piloted in college courses throughout the country. Through our partnerships with philanthropic foundations and our alliance with other educational resource organizations, OpenStax is breaking down the most common barriers to learning and empowering students and instructors to succeed.
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However, like any professional-grade textbook, errors sometimes occur. Because our books are openly licensed, you are free to use the entire book or pick and choose the sections that are most relevant to the needs of your course. Feel free to remix the content by assigning your students certain chapters and sections in your syllabus, in the order that you prefer. You can even provide a direct link in your syllabus to the sections in the web view of your book. Instructors also have the option of creating a customized version of their OpenStax book.
The custom version can be made available to students in low-cost print or digital form through their campus bookstore. Visit your book page on openstax. All OpenStax textbooks undergo a rigorous review process. However, like any professional-grade textbook, errors sometimes occur. Since our books are web based, we can make updates periodically when deemed pedagogically necessary.
If you have a correction to suggest, submit it through the link on your book page on openstax. Subject matter experts review all errata suggestions. OpenStax is committed to remaining transparent about all updates, so you will also find a list of past errata changes on your book page on openstax. You can access this textbook for free in web view or PDF through openstax. Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning.
The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them.
Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Download files for later. Send to friends and colleagues. Modify, remix, and reuse just remember to cite OCW as the source. Maximum, pp. Integration, pp. Need help getting started? Don't show me this again Welcome! Highlights of Calculus MIT Professor Gilbert Strang has created a series of videos to show ways in which calculus is important in our lives.
Chapter 9 - complete PDF Chapter 9 - sections: 9. Chapter 16 - complete PDF Chapter 16 - sections:
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