Essentials of Precalculus, by Richard N. Aufmann, Richard D. Nation pdf.
Essentials of Precalculus, by Richard N. Aufmann, Richard D. Nation free pdf download.
Essentials of Precalculus provides students with material that focuses on selected key concepts of precalculus and how those concepts can be applied to a variety of problems. To help students master these concepts, we have tried to maintain a balance among theory, application, modeling, and drill. Carefully developed mathematics is complemented by applications that are both contemporary and representative of a wide range of disciplines. Many application exercises are accompanied by a diagram that helps the student visualize the mathematics of the application.
Technology is introduced naturally to support and advance better understanding of a concept. The optional Integrating Technology boxes and graphing calculator exercises are designed to promote an appreciation of both the power and the limitations of technology.
Interactive Presentation Essentials of Precalculus is written in a style that encourages the student to interact with the textbook. At various places throughout the text, we pose a question to the student about the material being presented.
This question encourages the reader to pause and think about the current discussion and to answer the question. To ensure that the student does not miss important information, the answer to the question is provided as a footnote on the same page.
Each section contains a variety of worked examples. Each example is given a title so that the student can see at a glance the type of problem being illustrated.
Most examples are accompanied by annotations that assist the student in moving from step to step. Following the worked example is a suggested exercise for the student to work. The complete solution to that exercise can be found in an appendix in the text. This feature allows students to self-assess their progress and to get immediate feedback by means of not just an answer, but a complete solution.
Focus on Problem Solving Each chapter begins with a Focus on Problem Solving that demonstrates various strategies that are used by successful problem solvers. At the completion of the Focus on Problem Solving, the student is directed to an exercise in the text that can be solved using the problem-solving strategy that was just discussed.
Mathematics and Technology Technology is introduced in the text to illustrate or enhance a concept. We attempt to foster the idea that technology, combined with analytical thinking, can lead to deeper understanding of a concept. Theoptional Integrating Technology boxes and graphing calculator exercises are designed to develop an awareness of technology’s capabilities and limitations.
Topics for Discussion are found at the end of each section of the text. These topics can form the basis for a group discussion or serve as writing assignments.
Extensive Exercise Sets The exercise sets of Essentials of Precalculus are carefully developed to provide the student with a variety of exercises. The exercises range from drill and practice to interesting challenges and were chosen to illustrate the many facets of the topics discussed in the text. Each exercise set emphasizes concept building, skill building and maintenance, and, as appropriate, applications.
Projects are included at the end of each exercise set and are designed to encourage students to research and write about mathematics and its applications. These projects encourage critical thinking beyond the scope of the regular problem sets. Responses to the projects are given in the Instructor’s Solutions Manual. Prepare for Next Section Exercises are found at the end of each exercise set, except
for the last section of a chapter. These exercises concentrate on topics from previous sections of the text that are particularly relevant to the next section of the text.
By completing these exercises, the student reviews some of the concepts and skills necessary for success in the next section. Chapter Review Exercises allow the student to review concepts and skills presented in the chapter. Answers to all chapter review exercises are included in the student answer section. If a student incorrectly answers an exercise, there is a section reference next to each answer that directs the student to the section from which that exercise was taken. Using this reference, the student can review the concepts that are required to correctly solve the exercise.
Chapter Tests provide students with an opportunity to self-assess their understanding of the concepts presented in the chapter. The answers to all exercises in the chapter tests are included in the student answer section. As with the answers to the chapter review exercises, there is a section reference next to each answer that directs the student to the section from which that exercise was taken.
Cumulative Review Exercises end every chapter after Chapter 1. These exercises allow students to refresh their knowledge of previously studied skills and concepts and help them maintain skills that promote success in precalculus. Answers to all cumulative review exercises are included in the student answer section. As with the answers to the chapter review exercises, there is a section reference next to each answer that directs the student to the section from which that exercise was taken.
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