College Algebra with Trigonometry - Hardcover

Gilbert, Jimmie; Gilbert, Linda

9780070235861: College Algebra with Trigonometry

Hardcover

ISBN 10: 0070235864 ISBN 13: 9780070235861

Publisher: McGraw-Hill Inc.,US, 1994

This text is written for the combined college algebra and trigonometry course at the freshman level. The first two chapters furnish a review of fundamental topics from intermediate algebra that is presented so it can be covered thoroughly, briefly reviewed, or skipped completely, depending on the needs of the students. Trigonometry is covered in Chapters 7-9 and is introduced through the right-triangle approach in Sec. 7. 1. The emphasis of the text is to help students think critically and to discover how algebra applies to the world around them. In order to make the material more relevant, an abundance of applications can be found in the examples as well as the exercises sets. A full-colour design highlights key equations, rules and procedures for problem solving. The colour of a graph corresponds to the colour of its equation so students can clearly distinguish between the graphs of more than one equations, The authors' treatment of functions is unusually rich in applications. Inverse functions (Sec. 4.6) are introduced after conic sections so that students will have had more experience with graphing and can more easily visualise this concept. In response to the AMATYC and MAA guidelines and the NCTM standards, several features involving writing, critical thinking, discussion, exploration and technology appear in College Algebra with Trigonometry. Notes discussing the usefulness of technology can be found in the margins at appropriate points to invite further exploration. Graphing calculator exercises appear throughout the problem sets. These exercises, which are noted with an icon, encourage the student to interpret what they are seeing on the calculator. Every chapter opens with a brief discussion of the significance of the material in the chapter and how it can be applied. Each chapter closes with a feature entitled ENCORE which is an interesting example that illustrates the chapter. These features help students appreciate the connection of mathematics, specifically algebra, to the real world.

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From the Publisher:

Examples and Matched Problems:
Integrated throughout the text, completely worked examples are used to introduce concepts and demonstrate problem-solving techniques. The examples are followed by similar matched problems that the student can work while reading the material. For easy reference, answers to the matched problems are located at the end of each section. This active involvement in the learning process helps students develop a more thorough understanding of algebraic concepts and processes.
Exploration and Discussion:
Interspersed at appropriate places in every section, Explore-Discuss boxes encourage students to think critically about mathematics and are excellent opportunities for additional group work. Explore-Discuss material can be used in class, or as an out-of-class activity.
Balanced Exercise Sets:
College Algebra with Trigonometry contains over 5,600 problems. Exercise sets are found at the end of each section in the text, and are divided into A (routine, easy mechanics), B (more difficult mechanics), and C (difficult mechanics and some theory) levels of difficulty so that students at all levels can be challenged.
Applications: One of the primary objectives of this book is to give the student substantial experience in modeling and solving real-world problems. Over 700 application exercises help convince even the most skeptical student that mathematics is relevant to every day life. An Applications Index is included to help locate particular applications.
Group Activities: A Group Activity is located at the end of each chapter involving many of the concepts discussed in that chapter. These activities strongly encourage the verbalization of mathematical concepts, results, and processes.
Technology: The generic term "graphing utility" is used to refer to any of the various graphing calculators or computer software packages that might be available to a student using this book. The use of technology is optional with this text, which contains graphing utility exercises and examples, where appropriate, throughout the text. All of these examples and exercises can be omitted without sacrificing content coverage.
Chapter Review sections are provided at the end of each chapter and include a thorough review of all of the important terms and symbols. This recap is followed by a comprehensive set of review exercises. Furthermore, Cumulative Review Exercises are provided every second or third chapter, for additional reinforcement.
Right Triangle Approach: College Algebra with Trigonometry takes a right angle approach to the initial coverage of trigonometry.
Exercise Sets: The exercise sets for each section and end of chapter reviews have been extensively revised. Many of the new exercises focus on exploration and modeling.
SMART CD: Each copy of the text is now packaged with a SMART CD to help students master concepts and practice problem-solving. Exploratory Interactive Diagrams (JAVA applets) are now included on the SMART CD.
NetTutor is a revolutionary new web-based learning environment for the live dissemination of mathematical content. NetTutor offers your students live, personalized tutoring via the internet. Using NetTutor's powerful WWWhiteboard software, students can post a question and receive prompt feedback from an expert in their subject. The WWWhiteboard allows students and tutors to use proper mathematical notation as well as other highlighting features - truly making this a unique learning experience. Students may also post questions to the Q&A Center and receive a reply within 24 hours. Visiting the Message Center allows students to discuss difficult concepts among themselves, while the Archive Center provides a browseable list of questions and answers maintained by the subject tutor. NetTutor is FREE and an invaluable aid for all students; the study partner who always has the answer.

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