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In-chapter Examples walk students through problems by posing a question, stepping out a solution, and then asking students to practice the skill with a “Checkpoint” question. The book also includes assessments at the end of each chapter so students can apply what they’ve learned through practice problems. Many exercises are marked with a [T] to indicate they are suitable for solution by technology, including calculators or Computer Algebra Systems (CAS). Answers for selected exercises are available in the Answer Key at the back of the book.
Calculus Volume 1 is designed to accommodate both Early and Late Transcendental approaches to calculus. Exponential and logarithmic functions are introduced informally in Chapter 1 and presented in more rigorous terms in Chapter 6. Differentiation and integration of these functions is covered in Chapters 3–5 for instructors who want to include them with other types of functions. These discussions, however, are in separate sections that can be skipped for instructors who prefer to wait until the integral definitions are given before teaching the calculus derivations of exponentials and logarithms.
Our art program is designed to enhance students’ understanding of concepts through clear and effective illustrations, diagrams, and photographs.
In-chapter Examples walk students through problems by posing a question, stepping out a solution, and then asking students to practice the skill with a “Check Your Learning” component. The book also includes assessments at the end of each chapter so students can apply what they’ve learned through practice problems.
OpenStax projects offer an array of ancillaries for students and instructors. The following resources are available.
Our resources are continually expanding, so please visit http://openstaxcollege.org to view an up-to-date list of the Learning Resources for this title and to find information on accessing these resources.
WeBWorK is a well-tested homework system for delivering individualized calculus problems over the Web. By providing students with immediate feedback on the correctness of their answers, WeBWorK encourages students to make multiple attempts until they succeed. With individualized problem sets, students can work together but will have to enter their own work to receive credit. WeBWorK can present and grade any mathematics calculation problem from basic algebra through calculus, matrix linear algebra, and differential equations. Its extensible answer evaluators correctly recognize and grade a wide variety of answers, including numbers, functions, equations, answers with units and much more, allowing instructors and students to concentrate on correct mathematics and ask the questions they should rather than just the questions they can. More than 770 institutions currently use WeBWorK. WeBWork and its 30,000 plus library of Creative Commons-licensed problems are open source and free for institutions to use.
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