Line Integrals. Conservative Vector Fields. Divergence and Curl. Surface Integrals. The Divergence Theorem. Second-Order Linear Equations. Nonhomogeneous Linear Equations. Series Solutions of Differential Equations. Table of Integrals. Table of Derivatives. Review of Pre-Calculus. This OpenStax book was imported into Pressbooks on August 7, , to make it easier for instructors to edit, build upon, and remix the content.
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. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations. Changes you make need to be shared using this license. 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. About Calculus Volume 3 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.
Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations. Coverage and scope Our Calculus Volume 3 textbook adheres to the scope and sequence of most general calculus courses nationwide.
We have worked to make calculus interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. With this objective in mind, the content of the three volumes of Calculus have been developed and arranged to provide a logical progression from fundamental to more advanced concepts, building upon what students have already learned and emphasizing connections between topics and between theory and applications.
Nov 23rd, Not a member of Pastebin yet? Sign Up , it unlocks many cool features! The production qualities are high and the books look like commercially published books. There are overlapping chapters in each volume to provide. Volume 3 covers parametric equations and polar coordinates, vectors, which means that you are free to use and adapt, but not for commercial purposes. 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. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
Our Calculus Volume 3 textbook adheres to the scope and sequence of most general calculus courses nationwide. We have worked to make calculus interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. With this objective in mind, the content of the three volumes of Calculus have been developed and arranged to provide a logical progression from fundamental to more advanced concepts, building upon what students have already learned and emphasizing connections between topics and between theory and applications.
The goal of each section is to enable students not just to recognize concepts, but work with them in ways that will be useful in later courses and future careers. The organization and pedagogical features were developed and vetted with feedback from mathematics educators dedicated to the project. Throughout Calculus Volume 3 you will find examples and exercises that present classical ideas and techniques as well as modern applications and methods.
Derivations and explanations are based on years of classroom experience on the part of long-time calculus professors, striving for a balance of clarity and rigor that has proven successful with their students.
Motivational applications cover important topics in probability, biology, ecology, business, and economics, as well as areas of physics, chemistry, engineering, and computer science. Student Projects in each chapter give students opportunities to explore interesting sidelights in pure and applied mathematics, from navigating a banked turn to adapting a moon landing vehicle for a new mission to Mars. Chapter Opening Applications pose problems that are solved later in the chapter, using the ideas covered in that chapter.
Problems include the average distance of Halley's Comment from the Sun, and the vector field of a hurricane. Definitions, Rules, and Theorems are highlighted throughout the text, including over 60 Proofs of theorems.
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